<?xml version='1.0' encoding='utf-8'?>
<!DOCTYPE rfc SYSTEM "rfc2629.dtd" [
<!ENTITY RFC9242 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.9242.xml">
<!ENTITY I-D.tjhai-ikev2-beyond-64k-limit SYSTEM "https://xml2rfc.tools.ietf.org/public/rfc/bibxml3/reference.I-D.tjhai-ikev2-beyond-64k-limit.xml">
<!ENTITY I-D.ietf-ipsecme-g-ikev2 SYSTEM "https://xml2rfc.tools.ietf.org/public/rfc/bibxml3/reference.I-D.ietf-ipsecme-g-ikev2.xml">
<!ENTITY RFC2119 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.2119.xml">
<!ENTITY RFC5723 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.5723.xml">
<!ENTITY RFC6023 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.6023.xml">
<!ENTITY RFC7296 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.7296.xml">
<!ENTITY RFC7383 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.7383.xml">
<!ENTITY RFC8019 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.8019.xml">
<!ENTITY RFC8174 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.8174.xml">
<!ENTITY RFC8784 SYSTEM "https://xml2rfc.ietf.org/public/rfc/bibxml/reference.RFC.8784.xml">
]>
<rfc docName="draft-ietf-ipsecme-ikev2-multiple-ke-11" updates="7296" category="std" ipr="*trust200902" consensus="true"><?rfc compact="yes"?>
	<?rfc text-list-symbols="ooo*-o+"?>
	<?rfc subcompact="no"?>
	<?rfc sortrefs="yes"?>
	<?rfc symrefs="yes"?>
	<?rfc strict="yes"?>
	<?rfc toc="yes"?>
	<front>
	<title abbrev="Multiple Key Exchanges in IKEv2">Multiple Key Exchanges in IKEv2</title>
	<author fullname="C. Tjhai" initials="C." surname="Tjhai">
	<organization>Post-Quantum</organization>
	<address><postal><street></street>
	</postal>
	<email>cjt@post-quantum.com</email>
	</address>
	</author>

	<author fullname="M. Tomlinson" initials="M." surname="Tomlinson">
	<organization>Post-Quantum</organization>
	<address><postal><street></street>
	</postal>
	<email>mt@post-quantum.com</email>
	</address>
	</author>

	<author fullname="G. Bartlett" initials="G." surname="Bartlett">
	<organization>Quantum Secret</organization>
	<address><postal><street></street>
	</postal>
	<email>graham.ietf@gmail.com</email>
	</address>
	</author>

	<author fullname="S. Fluhrer" initials="S." surname="Fluhrer">
	<organization>Cisco Systems</organization>
	<address><postal><street></street>
	</postal>
	<email>sfluhrer@cisco.com</email>
	</address>
	</author>

	<author fullname="D. Van Geest" initials="D." surname="Van Geest">
	<organization>ISARA Corporation</organization>
	<address><postal><street></street>
	</postal>
	<email>daniel.vangeest@isara.com</email>
	</address>
	</author>

	<author fullname="O. Garcia-Morchon" initials="O." surname="Garcia-Morchon">
	<organization>Philips</organization>
	<address><postal><street></street>
	</postal>
	<email>oscar.garcia-morchon@philips.com</email>
	</address>
	</author>

    <author fullname="Valery Smyslov" initials="V." surname="Smyslov">
    <organization>ELVIS-PLUS</organization>
    <address><postal><street></street>
    </postal>
    <email>svan@elvis.ru</email>
    </address>
    </author>

    <date/>
	<workgroup>Internet Engineering Task Force (IETF)</workgroup>
	<abstract>
        <t> This document describes how to extend the Internet Key Exchange Protocol
	Version 2 (IKEv2) to allow multiple key exchanges to take place 
        while computing a shared secret during a Security Association (SA) setup.
	</t>
	
        <t> The primary application of this feature in IKEv2 is the ability to perform one or more 
        post-quantum key exchanges in conjunction with the classical (Elliptic Curve) Diffie-Hellman (EC)DH key exchange,
        so that the resulting shared key is resistant against quantum computer attacks.
	Since there is currently no post-quantum key exchange that is trusted at
        the level that (EC)DH is trusted against conventional (non-quantum)
        adversaries, performing multiple key exchanges with different post-quantum algorithms along
        with the well-established classical key exchange algorithms addresses this concern, since the
        overall security is at least as strong as each individual primitive.
	</t>
	
        <t> Another possible application for this extension is the ability to combine several key exchanges 
        in situations when no single key exchange algorithm is trusted by both initiator and responder.
        </t>

	<t> This document utilizes the IKE_INTERMEDIATE exchange to perform multiple key exchanges when
	an IKE SA is being established and introduces a new IKEv2 exchange IKE_FOLLOWUP_KE to perform 
	them when IKE SA is up (during rekeys or creating additional Child SAs).
	</t>

        <t> This document updates RFC7296 by renaming a transform type 4 from "Diffie-Hellman Group (D-H)"
        to "Key Exchange Method (KE)" and renaming a field in the Key Exchange Payload from "Diffie-Hellman Group Num"
        to "Key Exchange Method". It also renames an IANA registry for this transform type 
        from "Transform Type 4 - Diffie-Hellman Group Transform IDs" to 
        "Transform Type 4 - Key Exchange Method Transform IDs". These changes generalize 
        key exchange algorithms that can be used in IKEv2.
        </t>
    </abstract>
	</front>

	<middle>
	<section title="Introduction" >
		<section title="Problem Description" ><t>
			Internet Key Exchange Protocol (IKEv2) as specified in <xref target="RFC7296"/> 
            uses the Diffie-Hellman (DH) or Elliptic Curve
			Diffie-Hellman (ECDH) algorithm, which shall be referred to as (EC)DH collectively,
            to establish a shared secret
			between an initiator and a responder.  The security of the (EC)DH algorithms relies
            on the difficulty to solve a discrete logarithm
			problem in multiplicative (and respectively elliptic curve) groups when
			the order of the group parameter is large enough.  While solving such
			a problem remains infeasible with current computing power, it is
			believed that general purpose quantum computers will be able to solve
			this problem, implying that the security of IKEv2 is compromised.
			There are, however, a number of cryptosystems that are conjectured to
			be resistant against quantum computer attack.  This family of
			cryptosystems is known as post-quantum cryptography (PQC).  It is
			sometimes also referred to as quantum-safe cryptography (QSC) or
			quantum-resistant cryptography (QRC).
		    </t>
        </section>

		<section title="Proposed Extension" >
            <t>
			This document describes a method to perform multiple successive key 
            exchanges in IKEv2. It allows integration of PQC in IKEv2, while
			maintaining backwards compatibility, to derive a set of IKE keys that
			is resistant to quantum computer attacks.  This extension allows the
			negotiation of one or more PQC algorithm to exchange data, in addition
			to the existing (EC)DH key exchange data.  It is believed that the
			feature of using more than one post-quantum algorithms is important as
			many of these algorithms are relatively new and there may be a need to
			hedge the security risk with multiple key exchange data from several
			distinct PQC algorithms.
            </t>

            <t>IKE peers perform multiple successive key exchanges to establish
            an IKE Security Association (SA).  Each exchange produces a piece of secret and
            these secrets are combined in a way such that:
            <ol type="(%c)">
            <li>the final shared secret is computed from all of the component key exchange
            secret;</li>
            <li>the shared secret as specified in <xref target="RFC7296"/> is obtained
            unless both peers support and agree to use the additional key exchanges introduced
            in this specification; and</li>
            <li>if any of the component key exchange method is a post-quantum algorithm,
            the final shared secret is post-quantum secure.</li>
            </ol>
            </t>

            <t>
			Some post-quantum key exchange payloads may have sizes larger than
			the standard maximum transmission unit (MTU) size, and therefore there could be issues with
			fragmentation at the IP layer.  In order to allow using those larger payload
            sizes, this mechanism relies on the IKE_INTERMEDIATE exchange as specified
            in <xref target="RFC9242"/>.  With this
			mechanism, the key exchange is initiated using a smaller, possibly
			classical primitive, such as (EC)DH.  Then, before
			the IKE_AUTH exchange, one or more IKE_INTERMEDIATE exchanges are carried out,
			each of which contains an additional key exchange.  As the IKE_INTERMEDIATE
			exchange is encrypted, the IKE fragmentation protocol <xref target="RFC7383" />
			can be used. The IKE SK_* values are updated after each exchange as described in
            <xref target="additional_ke"/>,
			and so the final IKE SA keys depend on all the key exchanges,
			hence they are secure if any of the key exchanges are secure.</t>

            <t>While this extension is primarily aimed for IKE SAs due to the
            potential fragmentation issue discussed above, it also applies to
            CREATE_CHILD_SA exchanges as illustrated in
            <xref target="create_child_sa_exchange"/> for creating/rekeying of
            Child SAs and rekeying of IKE SAs.</t>

            <t>
			Note that readers should consider the approach defined in this document as
			providing a long term solution in upgrading the IKEv2 protocol to
			support post-quantum algorithms.  A short term solution to make IKEv2
			key exchange quantum secure is to use post-quantum pre-shared keys as
			specified in <xref target="RFC8784"/>.</t>

      <t> Note also that the proposed approach of performing multiple successive key exchanges
      in such a way that resulting session keys depend on all of them is not limited
      to only addressing the threat of quantum computer. It can also be used when all 
      of the performed key exchanges are classical (EC)DH primitives, where for some reasons
      (e.g. policy requirements) it is essential to perform multiple of them.
      </t>

    	<t>This specification does not attempt to address key exchanges with KE payloads
        longer than 64 Kbytes; the current IKE payload format does not allow such as
        possibility.  At the time of writing, it appears likely that there
        are a number of key exchanges available that would not have such
        a requirement.  However, if such a requirement is needed,
        <xref target="I-D.tjhai-ikev2-beyond-64k-limit"/> discusses approaches
        that could be taken to exchange huge payloads.</t>

		</section>

    	<section title="Changes" >
            <t>RFC EDITOR PLEASE DELETE THIS SECTION.</t>

            <t> Changes in this draft in each version iterations.</t>

            <t>draft-ietf-ipsecme-ikev2-multiple-ke-07</t>
            <t><list style="symbols">
            <t>Editorial changes.</t>
            </list></t>

            <t>draft-ietf-ipsecme-ikev2-multiple-ke-06</t>
            <t><list style="symbols">
            <t>Updated draft with the allocated IANA values.</t>
            <t>Editorial changes following AD review.</t>
            </list></t>

            <t>draft-ietf-ipsecme-ikev2-multiple-ke-05</t>
            <t><list style="symbols">
            <t>Updated the reference to RFC9242.</t>
            <t>Editorial changes.</t>
            </list></t>
            
            <t>draft-ietf-ipsecme-ikev2-multiple-ke-04</t>
            <t><list style="symbols">
            <t>Introduction and initial sections are reorganized.</t>
            <t>More clarifications for error handling added.</t>
            <t>ASCII arts displaying SA payload are added.</t>
            <t>Clarification for handling multiple round trips key exchange methods added.</t>
            <t>DoS concerns added into Security Considerations section.</t>
            <t>Explicitly allow scenario when additional key exchanges are performed only after peers are authenticated.</t>
            </list></t>

            <t>draft-ietf-ipsecme-ikev2-multiple-ke-03</t>
            <t><list style="symbols">
            <t>More clarifications added.</t>
            <t>Figure illustrating initial exchange added.</t>
            <t>Minor editorial changes.</t>
            </list></t>

            <t>draft-ietf-ipsecme-ikev2-multiple-ke-02</t>
            <t><list style="symbols">
            <t>Added a reference on the handling of KE payloads larger than 64KB.</t>
            </list></t>

            <t>draft-ietf-ipsecme-ikev2-multiple-ke-01</t>
            <t><list style="symbols">
            <t>References are updated.</t>
            </list></t>

            <t>draft-ietf-ipsecme-ikev2-multiple-ke-00</t>
            <t><list style="symbols">
            <t>Draft name changed as result of WG adoption and generalization of the approach.</t>
            <t>New exchange IKE_FOLLOWUP_KE is defined for additional key exchanges performed after CREATE_CHILD_SA.</t>
            <t>Nonces are removed from all additional key exchanges.</t>
            <t>Clarification that IKE_INTERMEDIATE must be negotiated is added.</t>
            </list></t>

            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-04</t>
            <t><list style="symbols">
            <t>Clarification about key derivation in case of multiple key exchanges in CREATE_CHILD_SA is added.</t>
            <t>Resolving rekey collisions in case of multiple key exchanges is clarified.</t>
            </list></t>
        
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-03</t>
            <t><list style="symbols">
            <t>Using multiple key exchanges CREATE_CHILD_SA is defined.</t>
            </list></t>
    
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-02</t>
            <t><list style="symbols">
        	<t>Use new transform types to negotiate additional key exchanges,
        	rather than using the KE payloads of IKE SA.</t>
         	</list></t>
    
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-01</t>
            <t><list style="symbols">
     		<t>Use IKE_INTERMEDIATE to perform multiple key exchanges in succession.</t>
     		<t>Handle fragmentation by keeping the first key exchange (a standard
     		IKE_SA_INIT with a few extra notifies) small, and encrypting the rest
     		of the key exchanges.</t>
    
     		<t>Simplify the negotiation of the 'extra' key exchanges.</t>
     	    </list></t>
    
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-00</t>
            <t><list style="symbols">
              <t>Added a feature to allow more than one post-quantum key
              exchange algorithms to be negotiated and used to exchange a post-
              quantum shared secret.</t>
              <t>Instead of relying on TCP encapsulation to deal with IP level
              fragmentation, a new key exchange payload that can
              be sent as multiple fragments within IKE_SA_INIT message was introduced.</t>
    	    </list>
            </t>
        </section>
    
    	<section title="Document Organization" >
            <t>
            The remainder of this document is organized as follows.
            <xref target="specification"/> describes how
    	    multiple key exchanges are performed between two IKE peers and how
            keying materials are derived for both SAs and Child SAs.
            <xref target="IANA"/> discusses IANA considerations for the namespaces
            introduced in this document, and <xref target="security"/> discusses security
            considerations.  In the Appendices sections, some examples of multiple key exchanges
            are illustrated in <xref target="sample-exchanges"/>,
            <xref target="design"/> summarizes design criteria and a summary of alternative
    	    approaches that have been considered, but later discarded, are described
            in <xref target="altdesign"/>.
            </t>
    
            <t> The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", 
            "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted 
            as described in BCP 14 <xref target="RFC2119" /> <xref target="RFC8174" /> when, and only when, 
            they appear in all capitals, as shown here.
            </t>
     	</section>
	</section>

	<section title="Multiple Key Exchanges" anchor="specification">
		<section title="Design Overview">
            <t> Most post-quantum key agreement algorithms are relatively new, and
            thus are not fully trusted.  There are also many proposed algorithms,
            with different trade-offs and relying on different hard problems.  The
            concern is that some of these hard problems may turn out to be easier
            to solve than anticipated and thus the key agreement algorithm may not be
            as secure as expected.  A hybrid solution, when multiple key exchanges are performed
            and the calculated shared key depends on all of them, allows us to deal with this
            uncertainty by combining a classical key exchange with a post-quantum
            one, as well as leaving open the possibility of multiple post-quantum
            key exchanges.</t>

            <t> In order to be able to use IKE fragmentation <xref target="RFC7383"/> for those key exchanges
            that may have long public keys, this specification utilizes the IKE_INTERMEDIATE exchange 
            defined in <xref target="RFC9242"/>.
            The initial IKE_SA_INIT messages do not have any inherent fragmentation support within IKE; however, IKE_SA_INIT messages can include a
            relatively short KE payload.  The additional key exchanges are performed using IKE_INTERMEDIATE messages
            that follow the IKE_SA_INIT exchange. This is to allow the standard IKE
            fragmentation mechanisms (which cannot be used in IKE_SA_INIT) to be available for the potentially large
            post-quantum Key Exchange algorithm payloads.
            </t>

            <t> Note that this document assumes, that each key exchange method requires one round trip and consumes exactly one IKE_INTERMEDIATE exchange.
            This assumption is valid for all classic key exchange methods defined so far and for all post-quantum methods currently known.
            For hypothetical future key exchange methods requiring multiple round trips to complete, a separate document should define how such
            methods are split into several IKE_INTERMEDIATE exchanges.
            </t>

            <t> In order to minimize communication overhead, only the key shares that are agreed to be used
            are actually exchanged.  To negotiate additional key exchanges seven new Transform Types are defined.
            These transforms and Transform Type 4 share the same Transform IDs.
            </t>

            <t> It is assumed that new Transform Type 4 identifiers will be assigned later for
			various post-quantum key exchanges <xref target="IKEV2TYPE4ID"></xref>.  
            This specification does not make a distinction between classical (EC)DH
			and post-quantum key exchanges, nor post-quantum algorithms which are
			true key exchanges versus post-quantum algorithms that act as key
			transport mechanisms; all are treated equivalently by the
			protocol.  This document renames a field in the Key Exchange Payload from
            "Diffie-Hellman Group Num" to "Key Exchange Method". It also renames
            Transform Type 4 from "Diffie-Hellman Group (D-H)" to "Key Exchange Method (KE)"; 
            the corresponding renaming to the IANA registry is described in <xref target="IANA"/>.</t>

            <t> The fact that newly defined transforms share
            the same registry for possible Transform IDs with Transform Type 4, allows additional key exchanges
            to be of any type - either post-quantum or classical (EC)DH
            one.  This approach allows any combination of the defined key exchange methods
            to take place.  This also allows IKE peers to perform a single post-quantum 
            key exchange in the IKE_SA_INIT without additional key exchanges, 
            provided that the IP fragmentation is not an issue and that hybrid key exchange is not needed.
            </t>

            <t> The SA payload in the IKE_SA_INIT message 
            includes one or more newly defined transforms which represent the extra key exchange policy required by the
            initiator. The responder follows the usual IKEv2 negotiation rules: it selects a single transform of each type, and
            returns all of them in the IKE_SA_INIT response message. 
            </t>

            <t>
            Then, provided that additional key exchanges are negotiated, the initiator and the responder 
            perform one or more IKE_INTERMEDIATE exchanges. Following that, the IKE_AUTH exchange authenticates peers
            and completes IKE SA establishment.</t>

            <figure><artwork align="center"><![CDATA[
Initiator                             Responder
---------------------------------------------------------------------
<-- IKE_SA_INIT (additional key exchanges negotiation) -->

<-- {IKE_INTERMEDIATE (additional key exchange)} -->

                         ...

<-- {IKE_INTERMEDIATE (additional key exchange)} -->

<-- {IKE_AUTH} -->
            ]]></artwork></figure>
        </section>

    	<section title="Protocol Details">
            <t> In the simplest case, the initiator starts a single key exchange
    		(and has no interest in supporting multiple), and it is not concerned
    		with possible fragmentation of the IKE_SA_INIT messages (either because
    		the key exchange it selects is small enough not to fragment, or the initiator is
    		confident that fragmentation will be handled either by IP fragmentation,
    		or transport via TCP).</t>
    
            <t> In this case, the initiator performs the IKE_SA_INIT for a single key exchange using a Transform Type 4
            (possibly with a post quantum algorithm), and including the initator KE payload.  If the responder accepts
            the policy, it responds with an IKE_SA_INIT response, and IKE continues as usual.</t>
    
            <t> If the initiator desires to negotiate multiple key exchanges, then the initiator uses the protocol
    		behavior listed below.</t>
    
            <section anchor="negotiation" title="IKE_SA_INIT Round: Negotiation" >
                <t> Multiple key exchanges are negotiated using the standard IKEv2 mechanism, via SA payload.
                For this purpose seven new transform types, namely Additional Key Exchange 1 (with IANA assigned value 6),
                Additional Key Exchange 2 (7), Additional Key Exchange 3 (8), Additional Key Exchange 4 (9),
                Additional Key Exchange 5 (10), Additional Key Exchange 6 (11) and Additional Key Exchange 7 (12)
                are defined.  They are collectively called Additional Key Exchange transforms in this document 
                and have slightly different semantics than the existing IKEv2 transform types.
                They are interpreted as an indication of additional key exchange methods that peers agree to perform
                in a series of IKE_INTERMEDIATE exchanges following the IKE_SA_INIT exchange.  The allowed transform IDs for these transform types 
                are the same as the IDs for Transform Type 4, so they all share a single IANA registry for transform IDs.
                </t>

                <t> Key exchange method negotiated via Transform Type 4 always takes place
                in the IKE_SA_INIT exchange, as defined in <xref target="RFC7296" />.  Additional key exchanges negotiated via newly
                defined transforms MUST take place in a series of IKE_INTERMEDIATE exchanges following the IKE_SA_INIT exchange, 
                performed in an order of the values of their transform types, so that key exchange negotiated using Additional Key Exchange i always precedes that of
                Additional Key Exchange i + 1. Each additional key exchange method MUST be fully completed before the next one is started.
                </t>

                <t> Note that with these semantics, Additional Key Exchange transforms are not associated
                with any particular type of key exchange and do not have any specific per transform type transform IDs IANA registry. 
                Instead they all share a single registry for transform IDs, namely "Key Exchange Method Transform IDs", which are also shared by Transform Type 4. 
                All key exchange algorithms (both classical or post-quantum) should be added to this registry.
                This approach gives peers flexibility in defining the ways they want 
                to combine different key exchange methods. 
                </t>

                <t> When forming a proposal the initiator adds transforms for the IKE_SA_INIT exchange
                using Transform Type 4.  In most cases they will contain classical (EC)DH key exchange methods, 
                however it is not a requirement.  Additional key exchange methods are proposed using Additional Key Exchange 
                transform types.  All of these transform types are optional, the initiator is free 
                to select any of them for proposing additional key exchange methods.  Consequently, 
                if none of the Additional Key Exchange transforms is included in the proposal, then this proposal
                indicates performing standard IKEv2, as defined in <xref target="RFC7296"/>.
                On the other hand, if the initiator includes any Additional Key Exchange transform in the proposal, 
                the responder MUST select one of the algorithms proposed using this type.  Note that this is not a
                new requirement, but that this behavior is already specified in Section 2.7 of <xref target="RFC7296"/>.
                A transform ID NONE MAY be added to those transform types which contain key exchange methods that
                the initiator believes is optional according to its local policy.
                </t>

                <t> The responder performs the negotiation using the standard IKEv2 procedure described in Section 3.3 of <xref target="RFC7296"/>.
                However, for the Additional Key Exchange types, the responder's choice MUST NOT contain duplicated algorithms (those with identical Transform ID and attributes),
                except for the transform ID of NONE.  An algorithm is represented as a transform, in some cases the transform
                could include a set of associated attributes that define details of the algorithm. In this case, two 
                transforms can be the same, but the attributes must be different.  Additionally, the order of the attributes
                does not affect the equality of the algorithm, so two transforms (ID=alg1,ATTR1=attr1,ATTR2=attr2) and
                (ID=alg1,ATTR2=attr2,ATTR1=attr1) define the same algorithm. If the responder is unable 
		to select non-duplicated algorithm for each proposed key exchange (either 
		because the proposal contains too few choices or due to the local policy restrictions on using the proposed algorithms),
		then the responder MUST reject the message with an error notification of type NO_PROPOSAL_CHOSEN.
		If the responder's message contains one or more duplicated choices, the initiator
                should log the error and MUST treat the exchange as failed.
		The initiator MUST NOT initiate any IKE_INTERMEDIATE (or IKE_FOLLOWUP_KE) exchanges, so that no new SA is created.
		If this happens in the CREATE_CHILD_SA exchange, then the initiator MAY delete the IKE SA,  
		over which the invalid message was received, by sending a Delete payload.
                </t>

                <t> If the responder selects NONE for some Additional Key Exchange types (provided they are proposed by the initiator), 
                then the corresponding Additional Key Exchange(s) in the IKE_INTERMEDIATE exchanges MUST NOT take place.
                Therefore if the initiator includes NONE in all of the Additional Key Exchange transforms and the
                responder selects this value for all of them, then no IKE_INTERMEDIATE messages performing additional key
                exchanges will take place between the peers.  Note that the IKE_INTERMEDIATE exchanges may still take place for other purposes.
                </t>

                <t>The initiator MAY propose non-consecutive Additional Key Exchange transforms, for example
                proposing Additional Key Exchange 2 and Additional Key Exchange 5 transforms only.  The responder
                MUST treat all of the omitted Additional Key Exchange transforms as if they are proposed with
                Transform ID NONE.</t>
    
                <t> Below is an example of the SA payload in the initiator's IKE_SA_INIT request message.
                Here the abbreviation AKEi is used to denote the i-th Additional Key Exchange transform defined in this document,
                and an abbreviation KE for the Key Exchange transform,
                that this document renames from the Diffie-Hellman Group transform.
                Additionally, the notations PQ_KEM_1, PQ_KEM_2 and PQ_KEM_3 are used to
                represent some not-yet defined Transform IDs of some popular post-quantum
                key exchange methods.</t>

                <figure><artwork align="center" ><![CDATA[
SA Payload
   |
   +--- Proposal #1 ( Proto ID = IKE(1), SPI size = 8,
         |            9 transforms,      SPI = 0x35a1d6f22564f89d )
         |
         +-- Transform ENCR ( ID = ENCR_AES_GCM_16 )
         |     +-- Attribute ( Key Length = 256 )
         |
         +-- Transform KE ( ID = 4096-bit MODP Group )
         |
         +-- Transform PRF ( ID = PRF_HMAC_SHA2_256 )
         |
         +-- Transform AKE2 ( ID = PQ_KEM_1 )
         |
         +-- Transform AKE2 ( ID = PQ_KEM_2 )
         |
         +-- Transform AKE3 ( ID = PQ_KEM_1 )
         |
         +-- Transform AKE3 ( ID = PQ_KEM_2 )
         |
         +-- Transform AKE5 ( ID = PQ_KEM_3 )
         |
         +-- Transform AKE5 ( ID = NONE )

                ]]></artwork></figure>

                <t> In this example, the initiator proposes to perform initial key exchange using 4096-bit MODP group
                followed by two mandatory additional key exchanges (i.e. Transforms AKE2 and AKE3) using PQ_KEM_1 and
                PQ_KEM_2 methods in any order, then followed by additional key exchange (i.e. Transform AKE5) using
                PQ_KEM_3 method that may be omitted.
                </t>

                <t> The responder might return the following SA payload, indicating that it agrees to 
                perform two additional key exchanges PQ_KEM_2 followed by PQ_KEM_1 and does not
                want to perform PQ_KEM_3 additionally.
                </t>

                <figure><artwork align="center" ><![CDATA[
SA Payload
   |
   +--- Proposal #1 ( Proto ID = IKE(1), SPI size = 8,
         |            6 transforms,      SPI = 0x8df52b331a196e7b )
         |
         +-- Transform ENCR ( ID = ENCR_AES_GCM_16 )
         |     +-- Attribute ( Key Length = 256 )
         |
         +-- Transform KE ( ID = 4096-bit MODP Group )
         |
         +-- Transform PRF ( ID = PRF_HMAC_SHA2_256 )
         |
         +-- Transform AKE2 ( ID = PQ_KEM_2 )
         |
         +-- Transform AKE3 ( ID = PQ_KEM_1 )
         |
         +-- Transform AKE5 ( ID = NONE )

                ]]></artwork></figure>

                <t> If the initiator includes any Additional Key Exchange transform types into the SA payload in the IKE_SA_INIT exchange request message,
                then it MUST also negotiate the use of the IKE_INTERMEDIATE exchange as described in <xref target="RFC9242" />,
                by including INTERMEDIATE_EXCHANGE_SUPPORTED notification in the same message.
                If the responder agrees to use additional key exchanges while establishing initial IKE SA, 
                it MUST also return this notification in the IKE_SA_INIT response message,
                thus confirming that IKE_INTERMEDIATE exchange is supported and will be used for transferring additional key exchange data.
                If the IKE_INTERMEDIATE exchange is not negotiated, then the peers MUST treat any Additional Key Exchange transforms
                in the IKE_SA_INIT exchange messages as unknown transform types and skip the proposals they appear in.
                If no other proposals are present in the SA payload, the peers will proceed as if no proposal is chosen
                (i.e. the responder will send NO_PROPOSAL_CHOSEN notification).
                </t>

                <figure><artwork align="center" ><![CDATA[
Initiator                          Responder
---------------------------------------------------------------------
HDR, SAi1(.. AKE*...), KEi, Ni,
N(INTERMEDIATE_EXCHANGE_SUPPORTED)    --->
                                   HDR, SAr1(.. AKE*...), KEr, Nr,
                                   [CERTREQ],
                           <---    N(INTERMEDIATE_EXCHANGE_SUPPORTED)
                ]]></artwork></figure>

		<t> It is possible that an attacker manages to send a response to the initiator's IKE_SA_INIT request 
		before the legitimate responder does.  If the initiator continues to create the IKE SA using this response, the attempt will fail.
		Implementers may wish to consider a possible defense technique described in Section 2.4 of <xref target="RFC7296" />.
		</t>
            </section>
        
        	<section title="IKE_INTERMEDIATE Round: Additional Key Exchanges" anchor="additional_ke">
                <t> For each additional key exchange agreed to in the IKE_SA_INIT exchange,
        		the initiator and the responder perform IKE_INTERMEDIATE exchange, 
                as described in <xref target="RFC9242"/>.</t>
        
                <figure><artwork align="center" ><![CDATA[
Initiator                          Responder
---------------------------------------------------------------------
HDR, SK {KEi(n)}    -->
                            <--    HDR, SK {KEr(n)}
                ]]></artwork></figure>

                <t> The initiator sends key exchange data in the KEi(n) payload.
                This message is protected with the current SK_ei/SK_ai keys.
                The notation KEi(n) denotes the n-th IKE_INTERMEDIATE KE payload from the initiator
                and the integer n is sequential starting from 1.</t>
        
                <t> On receiving this, the responder sends back key exchange payload KEr(n),
                which denotes the n-th IKE_INTERMEDIATE KE payload from the responder.
                As before, this message is protected with the current SK_er/SK_ar keys.</t>

                <t> The former "Diffie-Hellman Group Num" (now called "Key Exchange Method") field in the KEi(n) and KEr(n) payloads MUST match the
                n-th negotiated additional key exchange.
                <!--  Note that the negotiated transform types (the encryption type, integrity type, prf type) are not modified. (do we need to say this?) -->
                </t>
        
                <t> Once this exchange is done, both sides compute an updated keying material:</t>
        
                <figure><artwork align="center" ><![CDATA[
SKEYSEED(n) = prf(SK_d(n-1), SK(n) | Ni | Nr)
                ]]></artwork></figure>

                <t> where SK(n) is the resulting shared secret of this key exchange,
                Ni and Nr are nonces from the IKE_SA_INIT exchange and SK_d(n-1) is the 
                last generated SK_d, (derived from IKE_SA_INIT for the first use of IKE_INTERMEDIATE, otherwise from the previous IKE_INTERMEDIATE exchange).
                The other keying materials SK_d, SK_ai, SK_ar, SK_ei, SK_er, SK_pi, SK_pr are generated from the SKEYSEED(n) as follows:</t>
    
                <figure><artwork align="center" ><![CDATA[
{SK_d(n) | SK_ai(n) | SK_ar(n) | SK_ei(n) | SK_er(n) | SK_pi(n) | 
 SK_pr(n)} = prf+ (SKEYSEED(n), Ni | Nr | SPIi | SPIr)
                ]]></artwork></figure>

                <t> Both the initiator and the responder use these updated key
        		values in the next exchange (IKE_INTERMEDIATE or IKE_AUTH).</t>
            </section>
    
        	<section title="IKE_AUTH Exchange">
                <t> After all IKE_INTERMEDIATE exchanges have completed, the initiator and
        		the responder perform an IKE_AUTH exchange.  This exchange is
        		the standard IKE exchange as described in <xref target="RFC7296"/> with
			the modification of AUTH payload calculation described in 
			<xref target="RFC9242"/>.</t>
        	</section>
        
            <section title="CREATE_CHILD_SA Exchange" anchor="create_child_sa_exchange">
                <t> The CREATE_CHILD_SA exchange is used in IKEv2 for the purposes 
                of creating additional Child SAs, rekeying these and rekeying IKE SA itself.
                When creating or rekeying Child SAs, the peers may optionally 
                perform a key exchange to add a fresh entropy into the session keys. 
                In case of IKE SA rekey, the key exchange is mandatory.
                Peers supporting this specification may want to use multiple key exchanges
                in these situations.
                </t>

                <t> Using multiple key exchanges with CREATE_CHILD_SA exchange is negotiated 
                similarly as in the initial IKE exchange, see <xref target="negotiation" />.
                If the initiator includes any Additional Key Exchange transform in the SA payload
                (along with Transform Type 4) and the responder agrees to perform additional
                key exchanges, then the additional key exchanges are performed in a series 
                of new IKE_FOLLOWUP_KE exchanges that follows the CREATE_CHILD_SA exchange.
                The IKE_FOLLOWUP_KE exchange is introduced as a dedicated exchange for transferring data of additional key exchanges 
                following the key exchange performed in the CREATE_CHILD_SA. Its Exchange Type value is 44.
                </t>

                <t> Key exchange negotiated via Transform Type 4 always takes place in the CREATE_CHILD_SA exchange, as per IKEv2 specification. 
                Additional key exchanges are performed in an order of the values of their transform types, so that 
                key exchange negotiated using Transform Type n always precedes key exchange negotiated using
                Transform Type n + 1. Each additional key exchange method MUST be fully completed before the next one is started.
                Note, that this document assumes, that each key exchange method consumes exactly one IKE_FOLLOWUP_KE exchange.
                For the methods requiring multiple round trips, a separate document should define how such
                methods are split into several IKE_FOLLOWUP_KE exchanges.
                </t>

                <t> After an IKE SA is created the window size may be greater than one and multiple
                concurrent exchanges may be in progress, it is essential to link the IKE_FOLLOWUP_KE exchanges together 
                with the corresponding CREATE_CHILD_SA exchange.  Due to the fact that once an IKE SA is created, all IKE exchanges 
		are independent and don't have built-in means to link one with another, a new status type
   		notification ADDITIONAL_KEY_EXCHANGE is introduced for this purpose.
  		Its Notify Message Type value is 16441, and Protocol ID and SPI Size 
                are both set to 0.  The data associated with this notification is a blob meaningful 
                only to the responder, so that the responder can correctly link successive
                exchanges.  For the initiator the content of this notification is an opaque blob.
                </t>

                <t> The responder MUST include this notification in a CREATE_CHILD_SA or 
                IKE_FOLLOWUP_KE response message in case the next IKE_FOLLOWUP_KE exchange is expected, filling it with
                some data that would allow linking the current exchange to the next one.  The initiator 
                MUST send back this notification intact in the request message of the next IKE_FOLLOWUP_KE exchange.
                </t>
        
                <t> Below is an example of CREATE_CHILD_SA exchange followed by three additional key exchanges.
                </t>
        
                <figure><artwork align="center" ><![CDATA[
Initiator                             Responder
---------------------------------------------------------------------
HDR(CREATE_CHILD_SA), SK {SA, Ni, KEi} -->
                          <--  HDR(CREATE_CHILD_SA), SK {SA, Nr, KEr,
                                   N(ADDITIONAL_KEY_EXCHANGE)(link1)}

HDR(IKE_FOLLOWUP_KE), SK {KEi(1),
 N(ADDITIONAL_KEY_EXCHANGE)(link1)} -->
                               <--  HDR(IKE_FOLLOWUP_KE), SK {KEr(1),
                                   N(ADDITIONAL_KEY_EXCHANGE)(link2)}

HDR(IKE_FOLLOWUP_KE), SK {KEi(2),
 N(ADDITIONAL_KEY_EXCHANGE)(link2)} -->
                               <--  HDR(IKE_FOLLOWUP_KE), SK {KEr(2),
                                   N(ADDITIONAL_KEY_EXCHANGE)(link3)}

HDR(IKE_FOLLOWUP_KE), SK {KEi(3),
 N(ADDITIONAL_KEY_EXCHANGE)(link3)} -->
                               <--  HDR(IKE_FOLLOWUP_KE), SK {KEr(3)}
                ]]></artwork></figure>

                <t> The former "Diffie-Hellman Group Num" (now called "Key Exchange Method") field in the KEi(n) and KEr(n) payloads MUST match the
                n-th negotiated additional key exchange.
                </t>

                <t> It is possible that due to some unexpected events (e.g. reboot)
                the initiator may lose its state and forget that it is in the process of performing
                additional key exchanges and thus never start the remaining IKE_FOLLOWUP_KE exchanges.
                The responder MUST handle this situation gracefully and delete
                the associated state if it does not receive the next expected 
                IKE_FOLLOWUP_KE request after some reasonable period of time.
                Note that due to various factors such as computational resource and
                key exchange algorithm used, it is not possible to give a normative
                guidance on how long this timeout period should be. In general, 5-20
                seconds of waiting time should be appropriate in most cases.  
                </t>

                <t> It is also possible that the initiator may take too long to 
		prepare and send the next IKE_FOLLOWUP_KE request or due to the network
		conditions, the request is retransmitted. In this case, the message may reach the responder  
		when it has already deleted the associated state
		following the advice above. If the responder receives IKE_FOLLOWUP_KE and the content of this notify does not correspond
                to any active key exchange state the responder has, it MUST send back a new error type notification
                STATE_NOT_FOUND.  This is a non-fatal error notification, its Notify Message Type is 47, 
                Protocol ID and SPI Size are both set to 0 and the data is empty.  If the initiator receives
                this notification in response to IKE_FOLLOWUP_KE exchange performing additional
                key exchange, it MUST cancel this exchange and MUST treat the whole series 
                of exchanges started from the CREATE_CHILD_SA exchange as failed.
                In most cases, the receipt of this notification is caused by premature deletion
                of the corresponding state on the responder (the time period between
                IKE_FOLLOWUP_KE exchanges appeared too long from the responder's point of view, e.g. due
                to a temporary network failure).  After receiving this notification the initiator MAY 
                start a new CREATE_CHILD_SA exchange which may eventually be followed by the IKE_FOLLOWUP_KE exchanges,
                to retry the failed attempt.  If the initiator continues to receive
                STATE_NOT_FOUND notifications after several retries, it MUST treat this situation 
                as a fatal error and delete IKE SA by sending a DELETE payload.
                </t>

                <t> When rekeying the IKE SA or the Child SA, it is possible that the peers start doing this
                at the same time, which is called simultaneous rekeying.  Sections 2.8.1 and 2.8.2 of 
                <xref target="RFC7296" /> describe how IKEv2 handles this situation.  In a nutshell
                IKEv2 follows the rule that if in case of simultaneous rekeying, two identical new
                IKE SAs (or two pairs of Child SAs) are created, then one of them should be deleted. 
                Which one is to be deleted is determined by comparing the values of four nonces
                that are used in the colliding CREATE_CHILD_SA exchanges. The IKE SA (or pair of Child SAs) 
                that is created by the exchange in which the smallest nonce is used should be deleted by 
                the initiator of this exchange.
                </t>

                <t> With multiple key exchanges, the SAs are not yet created when the CREATE_CHILD_SA is completed,
                they would be created only after the series of IKE_FOLLOWUP_KE exchanges is finished.
                For this reason, if additional key exchanges are negotiated in the CREATE_CHILD_SA
                exchange in which the smallest nonce is used, then because there is nothing to delete
                yet, the initiator of this exchange just stops the rekeying process and it MUST NOT
                initiate the IKE_FOLLOWUP_KE exchange.
                </t>

                <t> In most cases, rekey collisions are resolved in the CREATE_CHILD_SA exchange.
                However, a situation may occur when due to packet loss, one of the peers receives the CREATE_CHILD_SA message
                requesting rekey of SA that is already being rekeyed by this peer (i.e. the CREATE_CHILD_SA
                exchange initiated by this peer has been already completed and the series of IKE_FOLLOWUP_KE exchanges is in progress).
                In this case, a TEMPORARY_FAILURE notification MUST be sent in response to such a request.
                </t>

                <t> If multiple key exchanges are negotiated in the CREATE_CHILD_SA exchange, then the resulting keys are 
                computed as follows.</t>
		    
		        <t>In case of IKE SA rekey:
                </t>

                <figure><artwork align="center" ><![CDATA[
SKEYSEED = prf(SK_d, SK(0) | Ni | Nr | SK(1) | ... SK(n))
                ]]></artwork></figure>

                <t> In case of Child SA creation or rekey:
                </t>

                <figure><artwork align="center" ><![CDATA[
KEYMAT = prf+ (SK_d, SK(0) | Ni | Nr | SK(1) |  ... SK(n))
                ]]></artwork></figure>

                <t> In both cases, SK_d is from the existing IKE SA; SK(0), Ni, Nr are the shared key and nonces
                from the CREATE_CHILD_SA respectively; SK(1)...SK(n) are the shared keys from additional key exchanges.
                </t>

            </section>

            <section title="Interaction with IKEv2 Extensions">
	    <t> It is believed that this specification requires no modification to the IKEv2 extensions defined so far.
	    In particular, IKE SA resumption mechanism defined in <xref target="RFC5723" /> can be used to resume
	    IKE SAs created using this specification. 
	    </t>
	    
	    <section title="Interaction with Childless IKE SA">
            <t>It is possible to establish IKE SAs with post-quantum algorithms only using additional key exchanges,
            but without using IKE_INTERMEDIATE exchanges.  In this case, the IKE SA created from IKE_SA_INIT exchange
            can be immediately rekeyed with CREATE_CHILD_SA using additional key exchanges where IKE_FOLLOWUP_KE
            messages are used to carry the key exchange payload.  If classical key exchange method is used in
            the IKE_SA_INIT message, the very first Child SA created in IKE_AUTH will offer no resistance against the
            quantum threats.  Consequently, if the peers' local policy requires that all Child SAs to be post-quantum
            secure, then the peers can avoid creating the very first Child SA by adopting <xref target="RFC6023"/>.  
	    In this case, the initiator sends two types of
            proposal in the IKE_SA_INIT request, one with and another one without Additional
            Key Exchange transform(s).  The responder chooses the latter proposal type and includes
            CHILDLESS_IKEV2_SUPPORTED notification in the IKE_SA_INIT response.  Assuming that
            the initiator supports childless IKE SA extension, then both peers performs
            the modified IKE_AUTH exchange described in <xref target="RFC6023"/> and no
            Child SA is created in this exchange.  The peers should then immediately rekey
            the IKE SA and subsequently create the Child SAs, all with additional key
            exchanges using CREATE_CHILD_SA exchange.</t>

            <t>It is also possible for the initiator to send proposals without Additional Key
            Exchange transform(s) in the IKE_SA_INIT message and in this instance, the responder will have
            no information whether or not the initiator supports the extension in this
            specification.  This may not be efficient as the responder will have to wait for
            the subsequent CREATE_CHILD_SA request to determine whether or not the initiator's 
            request is appropriate for its local policy.</t>

            <t>The support for childless IKE SA is not negotiated, but it is the responder that
            indicates the support for this mode.  As such, the responder cannot enforce the
            initiator to use this mode and therefore, it is entirely possible that the
            initiator does not support this extension and sends IKE_AUTH request as per
            <xref target="RFC7296"/> instead of <xref target="RFC6023"/>.  In this case, the
            responder may respond with non-fatal error such as NO_PROPOSAL_CHOSEN notify message type.</t>
            
            <t>Note that if the initial IKE SA is used to transfer sensitive information, then this information
            will not be protected using the additional key exchanges, which may use post-quantum algorithms.  In this arrangement,
            the peers will have to use post-quantum algorithm in Transform Type 4 in order to mitigate the risk of quantum attack. </t>	
	    </section>
            </section>
        </section>
    </section>

    <section title="IANA Considerations" anchor="IANA">

        <t>This document adds new exchange type into the "IKEv2 Exchange Types" registry:</t>

<figure align="center"><artwork align="left"><![CDATA[
44         IKE_FOLLOWUP_KE
]]></artwork></figure>

        <t>This document renames Transform Type 4 defined in "Transform Type Values" registry
        from "Diffie-Hellman Group (D-H)" to "Key Exchange Method (KE)".</t>

        <t>This document renames IKEv2 registry "Transform Type 4 - Diffie-Hellman Group Transform IDs" to 
        "Transform Type 4 - Key Exchange Method Transform IDs".</t>

        <t>This document adds the following Transform Types to the "Transform Type Values" registry:</t>
        <figure align="left"><artwork align="left"><![CDATA[
Type     Description                   Used In                    
-----------------------------------------------------------------
6        Additional Key Exchange 1     (optional in IKE, AH, ESP)
7        Additional Key Exchange 2     (optional in IKE, AH, ESP)
8        Additional Key Exchange 3     (optional in IKE, AH, ESP)
9        Additional Key Exchange 4     (optional in IKE, AH, ESP)
10       Additional Key Exchange 5     (optional in IKE, AH, ESP)
11       Additional Key Exchange 6     (optional in IKE, AH, ESP)
12       Additional Key Exchange 7     (optional in IKE, AH, ESP)
        ]]></artwork></figure>

        <t>This document defines a new Notify Message Type in the "Notify Message Types - Status Types" registry:</t>

        <figure align="center"><artwork align="left"><![CDATA[
16441       ADDITIONAL_KEY_EXCHANGE
        ]]></artwork></figure>

        <t>and a new Notify Message Type in the "Notify Message Types - Error Types" registry:</t>

        <figure align="center"><artwork align="left"><![CDATA[
47         STATE_NOT_FOUND
        ]]></artwork></figure>
    
        <section title="Additional Considerations and Changes">

            <t>The IANA is requested to add the following instructions for designated experts
            for Transform Type 4 sub-registry.</t>

            <t>While adding new KE methods, the following considerations must be applied.
            A KE method must take exactly one round-trip (one IKE exchange) and at the end
            of this exchange, both peers must be able to derive the shared secret. In addition, any public value peers exchanged during a KE method must fit into a single IKE
            message.  If these restrictions are not met for a KE method, then there must be
            documentation on how this KE method is used in IKEv2.</t>
        
            <t>The following changes to IANA are also requested. It is assumed that
            RFCXXXX refers to this specification.</t>
            <t><list style="symbols">
              
              <t>Add a reference to RFCXXXX in the "Transform Type 4 - Diffie-Hellman Group Transform IDs"
              registry.</t>
              
              <t>Replace the note on "Transform Type 4 - Diffie-Hellman Group Transform IDs" registry with:
              This registry was originally named "Transform Type 4 - Diffie-Hellman Group Transform IDs" and
              was renamed to its current name by [RFCXXXX].  It has been referenced in its original name in
              a number of RFCs prior to [RFCXXXX].  To find out requirement levels for Key Exchange Methods
              for IKEv2, see [RFC8247].</t>

              <t>Add this note to "Transform Type Values" registry: Transform Type "Transform Type 4 - Key
              Exchange Method Transform IDs" was originally named "Transform Type 4 - Diffie-Hellman Group
              Transform IDs" and was renamed to its current name by [RFCXXXX].  It has been referenced in its
              original name in a number of RFCs prior to [RFCXXXX].  All "Additional Key Exchange" entries use
              the same "Transform Type 4 - Key Exchange Method Transform IDs" as the "Key Exchange Method (KE)".</t>

              <t>Append RFCXXXX to the Reference column of Transform Type 4 in the Transform Type Values registry.</t>

              <t>Append this note to "Transform Type 4 - Diffie-Hellman Group Transform IDs" registry: All
               "Additional Key Exchange" entries use these values as the "Key Exchange Method (KE)".</t>
            </list></t>
        </section>

    </section>

	<section title="Security Considerations" anchor="security">
        <t>The extension in this document is intended to mitigate two possible threats in IKEv2, namely
        the compromise of (EC)DH key exchange using Shor's algorithm while remaining backward compatible;
        and the potential compromise of existing or future PQC key exchange algorithms.  To address the
        former threat, this extension allows the establishment of a shared secret by using multiple key
        exchanges, typically one classical (EC)DH and the other one post-quantum algorithm.  In order to
        address the latter threat, multiple key exchanges using a post-quantum algorithm can be composed to
        form the shared key.   
        </t>

        <t>Unlike key exchange methods (Transform Type 4), the Encryption Algorithm (Transform Type 1),
        the Pseudorandom Function (Transform Type 2) and the Integrity Algorithm (Transform Type 3) are
        not susceptible to Shor's algorithm.  However, they are susceptible to Grover's attack <xref target="GROVER"/>,
        which allows a quantum computer to perform a brute force key search using quadratically fewer
        steps than the classical counterpart.  Simply increasing the key length can mitigate this attack.
        It was previously believed that one needed to double the key length of these algorithms.  However,
        there are a number of factors that suggest that it is quite unlikely to achieve the quadratic speed up
        using Grover's algorithm.  According to NIST <xref target="NISTPQCFAQ"/>, current applications can
        continue using AES algorithm with the minimum key length of 128 bit.  Nevertheless, if the data
        needs to remain secure for many years to come, one may want to consider using a longer key size for the
        algorithms in Transform Types 1-3.
        </t>
    
    	<t>SKEYSEED is calculated from shared SK(x) using an algorithm defined
    	in Transform Type 2.  While a quantum attacker may learn the value
    	of SK(x), if this value is obtained by means of a classical key exchange,
    	other SK(x) values generated by means of a post-quantum algorithm
    	ensure that the final SKEYSEED is not compromised.  This assumes that
    	the algorithm defined in the Transform Type 2 is quantum resistant.
    	</t>

        <t>The ordering of the additional key exchanges should not matter in general,
        as only the final shared secret is of interest.  Nonetheless, because the strength
        of the running shared secret increases with every additional key exchange, an
        implementer may want to first perform the most secure method (in some metrics) and
        followed by less secure one(s).</t>

        <t> The main focus of this document is to prevent a passive attacker
        performing a "harvest and decrypt" attack.  In other words, an attacker
        that records messages exchanged today and proceeds to decrypt them once
        he owns a quantum computer.  This attack is prevented due to the hybrid
        nature of the key exchange.  Other attacks involving an active attacker
        using a quantum-computer are not completely solved by this
        document.  This is for two reasons.</t>

        <t> The first reason is because the authentication step remains
        classical.  In particular, the authenticity of the SAs established
        under IKEv2 is protected using a pre-shared key or digital signature
        algorithms.  Whilst the pre-shared key option, provided the key is
        long enough, is post-quantum secure, the other algorithms are not.   Moreover,
        in implementations where scalability is a requirement, the pre-shared
        key method may not be suitable.  Post-quantum authenticity may be
        provided by using a post-quantum digital signature.
        </t>

        <t> Secondly, it should be noted that the purpose of post-quantum algorithms is
        to provide resistance to attacks mounted in the future.  The current
        threat is that encrypted sessions are subject to eavesdropping and
        archived with decryption by quantum computers taking place at some
        point in the future.  Until quantum computers become available there
        is no point in attacking the authenticity of a connection because
        there are no possibilities for exploitation.  These only occur at
        the time of the connection, for example by mounting an on-path
        attack.  Consequently there is less urgency for
        post-quantum authenticity compared to post-quantum confidentiality.</t>

        <t> Performing multiple key exchanges while establishing IKE SA 
        increases the responder's susceptibility to DoS attacks, because 
        of an increased amount of resources needed before the initiator
        is authenticated.  This is especially true for post-quantum
        key exchange methods, where many of them are more memory and/or CPU intensive than the classical counterparts.
        </t>

        <t> Responders may consider recommendations from <xref target="RFC8019" />
        to deal with increased DoS attack susceptibility.  It is also possible that 
        the responder only agrees to create initial IKE SA without performing 
        additional key exchanges, provided the initiator includes such an option in its proposals.  Then peers immediately rekey 
        the initial IKE SA with the CREATE_CHILD_SA exchange and additional key exchanges performed via the IKE_FOLLOWUP_KE exchanges.
        In this case, at the point when resource-intensive operations are required,
        the peers have already authenticated each other.
        However, in the context of hybrid post-quantum key exchange this scenario would leave
        the initial IKE SA (and initial Child SA if it is created) unprotected
        against quantum computers. Nevertheless the rekeyed IKE SA (and Child
        SAs that will be created over it) will have a full protection.
        This is similar to the scenario described in <xref target="RFC8784" />.
        Depending on the arrangement and peers' policy, this scenario may or may not be appropriate.
	For example, in the G-IKEv2 protocol <xref target="I-D.ietf-ipsecme-g-ikev2"/> 
	the cryptographic materials are sent from the group controller to the group members 
	when the initial IKE SA is created. 
        </t>
    </section>
    
    <section title="Acknowledgements" anchor="acknowledgements">
        <t> The authors would like to thank Frederic Detienne and Olivier
        Pelerin for their comments and suggestions, including the idea to
        negotiate the post-quantum algorithms using the existing KE payload.
        The authors are also grateful to Tobias Heider and Tobias Guggemos for valuable comments.
        Thanks to Paul Wouters for reviewing the document.</t>
    </section>

	</middle>

	<back>
        <references title='Normative References'>
    	&RFC2119;
    	&RFC7296;
    	&RFC8174;
	&RFC9242;
	</references>
    <references title='Informative References'>
        &RFC6023;
        &RFC7383;
        &RFC8019;
        <reference anchor="GROVER"><front>
            <title>A Fast Quantum Mechanical Algorithm for Database Search</title>
            <author fullname="L. Grover" initials="L." surname="Grover">
            </author>
            <date year="1996"/>
            </front>
            <seriesInfo name="Proc." value="of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing (STOC 1996)"/>
        </reference>
        &RFC8784;
        &RFC5723;
        &I-D.ietf-ipsecme-g-ikev2;
	&I-D.tjhai-ikev2-beyond-64k-limit;
        <reference anchor="IKEV2TYPE4ID" target="https://www.iana.org/assignments/ikev2-parameters/ikev2-parameters.xhtml#ikev2-parameters-8">
            <front>
                <title>Internet Key Exchange Version 2 (IKEv2) Parameters: Transform Type 4 - Diffie-Hellman Group Transform IDs</title>
                <author fullname="IANA"></author>
            </front>
        </reference>        
        <reference anchor="NISTPQCFAQ" target="https://csrc.nist.gov/Projects/post-quantum-cryptography/faqs">
            <front>
                <title>Post-Quantum Cryptography Standardization: FAQs</title>
                <author fullname="NIST"></author>
            </front>
        </reference>        
    </references>

  <section title="Sample Multiple Key Exchanges" anchor="sample-exchanges">
    <t>This appendix shows some examples of multiple key exchanges.  These examples are non-normative
    and they describe some message flow scenarios that may occur in establishing an IKE or CHILD SA.  Note
    that some payloads that are not relevant to multiple key exchanges may be omitted for brevity.
    </t>

    <section title="IKE_INTERMEDIATE Exchanges Carrying Additional Key Exchange Payloads" anchor="sample-ake-ike-intermediate">
      <t>The exchanges below show that the initiator proposes the use of additional key exchanges
        to establish an IKE SA.  The initiator proposes three sets of additional key exchanges and all of which are optional.  
        So the responder can choose NONE for some or all of the additional exchanges
        if the proposed key exchange methods are not supported or for whatever reasons the responder decides not to perform
        the additional key exchange.</t>

        <figure><artwork align="center"><![CDATA[
Initiator                     Responder
---------------------------------------------------------------------
HDR(IKE_SA_INIT), SAi1(.. AKE*...), --->
KEi(Curve25519), Ni, N(IKEV2_FRAG_SUPPORTED),
N(INTERMEDIATE_EXCHANGE_SUPPORTED)
    Proposal #1
    Transform ECR (ID = ENCR_AES_GCM_16,
                    256-bit key)
    Transform PRF (ID = PRF_HMAC_SHA2_512)
    Transform KE (ID = Curve25519)
    Transform AKE1 (ID = PQ_KEM_1)
    Transform AKE1 (ID = PQ_KEM_2)
    Transform AKE1 (ID = NONE)
    Transform AKE2 (ID = PQ_KEM_3)
    Transform AKE2 (ID = PQ_KEM_4)
    Transform AKE2 (ID = NONE)
    Transform AKE3 (ID = PQ_KEM_5)
    Transform AKE3 (ID = PQ_KEM_6)
    Transform AKE3 (ID = NONE)
                   <--- HDR(IKE_SA_INIT), SAr1(.. AKE*...),
                        KEr(Curve25519), Nr, N(IKEV2_FRAG_SUPPORTED),
                        N(INTERMEDIATE_EXCHANGE_SUPPORTED)
                        Proposal #1
                          Transform ECR (ID = ENCR_AES_GCM_16,
                                         256-bit key)
                          Transform PRF (ID = PRF_HMAC_SHA2_512)
                          Transform KE (ID = Curve25519)
                          Transform AKE1 (ID = PQ_KEM_2)
                          Transform AKE2 (ID = NONE)
                          Transform AKE3 (ID = PQ_KEM_5)

HDR(IKE_INTERMEDIATE), SK {KEi(1)(PQ_KEM_2)} -->
                   <--- HDR(IKE_INTERMEDIATE), SK {KEr(1)(PQ_KEM_2)}
HDR(IKE_INTERMEDIATE), SK {KEi(2)(PQ_KEM_5)} -->
                   <--- HDR(IKE_INTERMEDIATE), SK {KEr(2)(PQ_KEM_5)}

HDR(IKE_AUTH), SK{ IDi, AUTH, SAi2, TSi, TSr } --->
                      <--- HDR(IKE_AUTH), SK{ IDr, AUTH, SAr2,
                           TSi, TSr }
        ]]></artwork></figure>

        <t>In this particular example, the responder chooses to perform two additional key exchanges.  It selects
            PQ_KEM_2, NONE and PQ_KEM_5 for the first, second and third additional key exchanges respectively.  
            As per <xref target="RFC7296"/> specification, a set of keying materials are derived, in particular
            SK_d, SK_a[i/r], SK_e[i/r].  Both peers then perform an IKE_INTERMEDIATE exchange carrying PQ_KEM_2 payload
            which is protected with SK_e[i/r] and SK_a[i/r] keys.  After the completion of this IKE_INTERMEDIATE exchange,
            the SKEYSEED is updated using SK(1), which is the PQ_KEM_2 shared secret, as follows.</t>
             
            <figure><artwork align="left" ><![CDATA[
SKEYSEED(1) = prf(SK_d, SK(1) | Ni | Nr)
            ]]></artwork></figure>
            
            <t>The updated SKEYSEED value is then used to derive the following keying materials</t>
            
            <figure><artwork align="left" ><![CDATA[
{SK_d(1) | SK_ai(1) | SK_ar(1) | SK_ei(1) | SK_er(1) | SK_pi(1) | 
 SK_pr(1)} = prf+ (SKEYSEED(1), Ni | Nr | SPIi | SPIr)
            ]]></artwork></figure>

            <t>As per <xref target="RFC9242"/> specification, both peers compute IntAuth_i1 and IntAuth_r1 using the SK_pi(1)
            and SK_pr(1) keys respectively.  These values are required in the IKE_AUTH phase of the exchange.</t>
                            
            <t>In the next IKE_INTERMEDIATE exchange, the peers use SK_e[i/r](1) and SK_a[i/r](1) keys to protect the PQ_KEM_5 payload.  
            After completing this exchange, keying materials are updated as below</t>
            
            <figure><artwork align="left" ><![CDATA[
SKEYSEED(2) = prf(SK_d(1), SK(2) | Ni | Nr)
{SK_d(2) | SK_ai(2) | SK_ar(2) | SK_ei(2) | SK_er(2) | SK_pi(2) | 
    SK_pr(2)} = prf+ (SKEYSEED(2), Ni | Nr | SPIi | SPIr)
            ]]></artwork></figure>
            
            <t>where SK(2) is the shared secret from the third additional key exchange, i.e. PQ_KEM_5.  Both peers then compute
            the values of IntAuth_[i/r]2 using the SK_p[i/r](2) keys.
            </t>

            <t>After the completion of the second IKE_INTERMEDIATE exchange, both peers continue to the IKE_AUTH exchange phase.  
            As defined in <xref target="RFC9242"/>, the values IntAuth_[i/r]2 are used to compute IntAuth which in turn is used to calculate
            the payload to be signed or MACed, i.e. InitiatorSignedOctets and ResponderSignedOctets.</t>
    </section>

    <section title="No Additional Key Exchange Used" anchor="sample-exchanges-none-selected">
      <t>The initiator proposes two sets of optional additional key exchanges, but the responder does not
      support any of them.  The responder chooses NONE for each set and consequently, IKE_INTERMEDIATE
      exchange does not takes place and the exchange proceeds to IKE_AUTH phase.  The resulting keying
      materials are the same as those derived with <xref target="RFC7296"/>.</t>

      <figure><artwork align="center"><![CDATA[
Initiator                     Responder
---------------------------------------------------------------------
HDR(IKE_SA_INIT), SAi1(.. AKE*...), --->
KEi(Curve25519), Ni, N(IKEV2_FRAG_SUPPORTED),
N(INTERMEDIATE_EXCHANGE_SUPPORTED)
  Proposal #1
    Transform ECR (ID = ENCR_AES_GCM_16,
                   256-bit key)
    Transform PRF (ID = PRF_HMAC_SHA2_512)
    Transform KE (ID = Curve25519)
    Transform AKE1 (ID = PQ_KEM_1)
    Transform AKE1 (ID = PQ_KEM_2)
    Transform AKE1 (ID = NONE)
    Transform AKE2 (ID = PQ_KEM_3)
    Transform AKE2 (ID = PQ_KEM_4)
    Transform AKE2 (ID = NONE)
                   <--- HDR(IKE_SA_INIT), SAr1(.. AKE*...),
                        KEr(Curve25519), Nr, N(IKEV2_FRAG_SUPPORTED),
                        N(INTERMEDIATE_EXCHANGE_SUPPORTED)
                          Proposal #1
                            Transform ECR (ID = ENCR_AES_GCM_16,
                                           256-bit key)
                            Transform PRF (ID = PRF_HMAC_SHA2_512)
                            Transform KE (ID = Curve25519)
                            Transform AKE1 (ID = NONE)
                            Transform AKE2 (ID = NONE)

HDR(IKE_AUTH), SK{ IDi, AUTH, SAi2, TSi, TSr } --->
                   <--- HDR(IKE_AUTH), SK{ IDr, AUTH, SAr2,
                        TSi, TSr }
      ]]></artwork></figure>
    </section>

    <section title="Additional Key Exchange in the CREATE_CHILD_SA Exchange only" anchor="sample-exchanges-ake-child-sas">
      <t>The exchanges below show that the initiator does not propose the use of additional key exchanges
      to establish an IKE SA, but they are required in order to establish a Child SA.  In order
      to establish a fully quantum-resistant IPsec SA, the responder includes a CHILDLESS_IKEV2_SUPPORTED
      notification in their IKE_SA_INIT response message.  The initiator understands
      and supports this notification, then exchanges a modified IKE_AUTH message with the
      responder and rekeys the IKE SA immediately with additional key exchanges.  Any
      Child SA will have to be created via subsequent CREATED_CHILD_SA exchange.
      </t>

      <figure><artwork align="center"><![CDATA[
Initiator                     Responder
---------------------------------------------------------------------
HDR(IKE_SA_INIT), SAi1, --->
KEi(Curve25519), Ni, N(IKEV2_FRAG_SUPPORTED)
                   <--- HDR(IKE_SA_INIT), SAr1,
                        KEr(Curve25519), Nr, N(IKEV2_FRAG_SUPPORTED),
                        N(CHILDLESS_IKEV2_SUPPORTED)
			
HDR(IKE_AUTH), SK{ IDi, AUTH  } --->
                   <--- HDR(IKE_AUTH), SK{ IDr, AUTH }

HDR(CREATE_CHILD_SA), SK{ SAi(.. AKE*...), Ni, KEi(Curve25519) } --->
  Proposal #1
    Transform ECR (ID = ENCR_AES_GCM_16,
                   256-bit key)
    Transform PRF (ID = PRF_HMAC_SHA2_512)
    Transform KE (ID = Curve25519)
    Transform AKE1 (ID = PQ_KEM_1)
    Transform AKE1 (ID = PQ_KEM_2)
    Transform AKE2 (ID = PQ_KEM_5)
    Transform AKE2 (ID = PQ_KEM_6)
    Transform AKE2 (ID = NONE)
                   <--- HDR(CREATE_CHILD_SA), SK{ SAr(.. AKE*...),
                        Nr, KEr(Curve25519),
                        N(ADDITIONAL_KEY_EXCHANGE)(link1) }
                          Proposal #1
                            Transform ECR (ID = ENCR_AES_GCM_16,
                                           256-bit key)
                            Transform PRF (ID = PRF_HMAC_SHA2_512)
                            Transform KE (ID = Curve25519)
                            Transform AKE1 (ID = PQ_KEM_2)
                            Transform AKE2 (ID = PQ_KEM_5)

HDR(IKE_FOLLOWUP_KE), SK{ KEi(1)(PQ_KEM_2), --->
N(ADDITIONAL_KEY_EXCHANGE)(link1) }
                  <--- HDR(IKE_FOLLOWUP_KE), SK{ KEr(1)(PQ_KEM_2),
                        N(ADDITIONAL_KEY_EXCHANGE)(link2) }

HDR(IKE_FOLLOWUP_KE), SK{ KEi(2)(PQ_KEM_5), --->
N(ADDITIONAL_KEY_EXCHANGE)(link2) }
                  <--- HDR(IKE_FOLLOWUP_KE), SK{ KEr(2)(PQ_KEM_5) }
      ]]></artwork></figure>
    </section>

    <section title="No Matching Proposal for Additional Key Exchanges" anchor="sample-exchanges-no-proposal-chosen">
      <t>The initiator proposes the combination of PQ_KEM_1, PQ_KEM_2, PQ_KEM_3, and PQ_KEM_4 as
      the additional key exchanges.  The initiator indicates that either PQ_KEM_1 or PQ_KEM_2 must be
      used to establish an IKE SA, but Additional Key Exchange 2 is optional so the responder
      can either select PQ_KEM_3 or PQ_KEM_4 or omit this key exchange by selecting NONE.  The responder,
      although supports the optional PQ_KEM_3 and PQ_KEM_4 methods, does not support either PQ_KEM_1 or
      PQ_KEM_2 mandatory method and therefore responds with NO_PROPOSAL_CHOSEN notification.  </t>

      <figure><artwork align="center"><![CDATA[
Initiator                     Responder
---------------------------------------------------------------------
HDR(IKE_SA_INIT), SAi1(.. AKE*...), --->
KEi(Curve25519), Ni, N(IKEV2_FRAG_SUPPORTED),
N(INTERMEDIATE_EXCHANGE_SUPPORTED)
  Proposal #1
    Transform ECR (ID = ENCR_AES_GCM_16,
                   256-bit key)
    Transform PRF (ID = PRF_HMAC_SHA2_512)
    Transform KE (ID = Curve25519)
    Transform AKE1 (ID = PQ_KEM_1)
    Transform AKE1 (ID = PQ_KEM_2)
    Transform AKE2 (ID = PQ_KEM_3)
    Transform AKE2 (ID = PQ_KEM_4)
    Transform AKE2 (ID = NONE)
                         <--- HDR(IKE_SA_INIT), N(NO_PROPOSAL_CHOSEN)
      ]]></artwork></figure>
    </section>
  </section>

	<section title="Design Criteria" anchor="design">
        <t>
        The design of the extension is driven by the
        following criteria:</t>
    
    	<t><list style="hanging" hangIndent="5"><t hangText="1)">
    	Need for PQC in IPsec.  Quantum computers, which might become feasible in the near future, pose a threat to
        our classical public key cryptography.  PQC, a family of public key cryptography that is believed to
        be resistant against these computers, needs to be integrated into the IPsec protocol suite to restore
        confidentiality and authenticity.</t>
    
    	<t hangText="2)">
    	Hybrid.  There is currently no post-quantum key exchange that is trusted at
        the level that (EC)DH is trusted for against conventional (non-quantum)
        adversaries.  A hybrid post-quantum algorithm to be introduced along
        with the well-established primitives addresses this concern, since the
        overall security is at least as strong as each individual primitive.
    	</t>
    
    	<t hangText="3)">
    	Focus on post-quantum confidentiality.  A passive attacker
    	can store all monitored encrypted IPsec communication today and decrypt it 
	once a quantum computer is available in the future. This attack can have serious 
	consequences that won't be visible for years to come. On the other hand,
	an attacker can only perform active attacks such as impersonation of the
        communicating peers once a quantum computer is available,
        sometime in the future. Thus, this specification focuses on
        confidentiality due to the urgency of this problem and 
        presents a defense against the serious attack described above, but 
	it does not address authentication since it is less urgent at this stage.
    	</t>
    
    	<t hangText="4)">
    	Limit amount of exchanged data.  The protocol design should be
    	such that the amount of exchanged data, such as public-keys, is
        kept as small as possible even if initiator and responder need
        to agree on a hybrid group or multiple public-keys need to be
        exchanged.
    	</t>
    
    	<t hangText="5)">
    	Not post-quantum specific.  Any cryptographic algorithm could be potentially
    	broken in the future by currently unknown or impractical
        attacks: quantum computers are merely the most concrete example
        of this.  The design does not categorize algorithms as "post-quantum"
    	or "non post-quantum" nor does it create assumptions
        about the properties of the algorithms, meaning that if
        algorithms with different properties become necessary in the future,
        this extension can be used unchanged to facilitate migration to
        those algorithms.
    	</t>
    
    	<t hangText="6)">
    	Limited amount of changes.  A key goal is to limit the number of
    	changes required when enabling a post-quantum handshake.  This
        ensures easier and quicker adoption in existing implementations.
    	</t>
    
    	<t hangText="7)">
    	Localized changes.  Another key requirement is that changes to
    	the protocol are limited in scope, in particular, limiting
        changes in the exchanged messages and in the state machine, so
        that they can be easily implemented.
    	</t>
    
    	<t hangText="8)">
    	Deterministic operation.  This requirement means that the hybrid
    	post-quantum exchange, and thus, the computed keys, will be based
        on algorithms that both client and server wish to support.
    	</t>
    
    	<t hangText="9)">
    	Fragmentation support.  Some PQC algorithms could be relatively
    	bulky and they might require fragmentation.  Thus, a design goal
        is the adaptation and adoption of an existing fragmentation
        method or the design of a new method that allows for the
        fragmentation of the key shares.
    	</t>
    
    	<t hangText="10)">
    	Backwards compatibility and interoperability.  This is a
    	fundamental requirement to ensure that hybrid post-quantum IKEv2
        and standard IKEv2 implementations as per <xref target="RFC7296"/> specification are interoperable.
    	</t>
    
    	<t hangText="11)">
    	USA Federal Information Processing Standards (FIPS) compliance.  IPsec is widely used in Federal Information
    	Systems and FIPS certification is an important requirement.
        However, at the time of writing, none of the algorithms that is believed
        to be post-quantum is FIPS compliant yet.  Nonetheless, it is possible to combine
        this post-quantum algorithm with a FIPS compliant key establishment method so that
        the overall design remains FIPS compliant <xref target="NISTPQCFAQ"/>.
    	</t>
    
        <t hangText="12)">
        Ability to use this method with multiple classical (EC)DH key exchanges.
        In some situations peers have no single mutually trusted key exchange
        algorithm (e.g., due to local policy restrictions).
        The ability to combine two (or more) key exchange methods
        in such a way that the resulting shared key depends on all of them
        allows peers to communicate in this situation.
        </t>

        </list>
    	</t>

	</section>

    <section title="Alternative Design" anchor="altdesign">
        <t>
        This section gives an overview on a number of alternative approaches
        that have been considered, but later discarded.  These approaches are:</t>

        <t><list style="symbols">
        <t>Sending the classical and post-quantum key
        exchanges as a single transform<vspace blankLines="1"/>
        A method to combine the various key exchanges into a single large
        KE payload was considered; this effort is documented in a previous version of this
        draft (draft-tjhai-ipsecme-hybrid-qske-ikev2-01).  This does allow us
        to cleanly apply hybrid key exchanges during the Child SA; however it
        does add considerable complexity, and requires an independent
        fragmentation solution.
        </t>

        <t>Sending post-quantum proposals and policies in KE payload
        only<vspace blankLines="1"/>
        With the objective of not introducing unnecessary notify
        payloads, a method to communicate the hybrid post-quantum proposal
        in the KE payload during the first pass of the protocol exchange
        was considered.  Unfortunately, this design is susceptible to the following
        downgrade attack.  Consider the scenario where there is an on-path attacker
        sitting between an initiator and a responder.  The initiator proposes,
        through SAi payload, to use a hybrid post-quantum group and as a fallback
        a Diffie-Hellman group, and through KEi payload, the initiator proposes
        a list of hybrid post-quantum proposals and policies.  The on-path attacker
        intercepts this traffic and replies with N(INVALID_KE_PAYLOAD) suggesting
        to downgrade to the fallback Diffie-Hellman group instead.  The initiator
        then resends the same SAi payload and the KEi payload containing the
        public value of the fallback Diffie-Hellman group.  Note that the attacker
        may forward the second IKE_SA_INIT message only to the responder, and
        therefore at this point in time, the responder will not have the
        information that the initiator prefers the hybrid group.  Of course,
        it is possible for the responder to have a policy to reject an
        IKE_SA_INIT message that (a) offers a hybrid group but not offering
        the corresponding public value in the KEi payload; and (b) the
        responder has not specifically acknowledged that it does not
        supported the requested hybrid group.  However, the checking of this
        policy introduces unnecessary protocol complexity.  Therefore, in
        order to fully prevent any downgrade attacks, using KE payload alone
        is not sufficient and that the initiator MUST always indicate its
        preferred post-quantum proposals and policies in a notify payload
        in the subsequent IKE_SA_INIT messages following a
        N(INVALID_KE_PAYLOAD) response.</t>

        <t>New payload types to negotiate hybrid proposal and to carry post-
        quantum public values<vspace blankLines="1"/>
        Semantically, it makes sense to use a new payload type, which
        mimics the SA payload, to carry a hybrid proposal.  Likewise, another new
        payload type that mimics the KE payload, could be used to transport hybrid
        public value.  Although, in theory a new payload type could be made
        backwards compatible by not setting its critical flag as per Section 2.5
        of <xref target="RFC7296" />, it is believed that it may not be that simple
        in practice.  Since
        the original release of IKEv2 in RFC4306, no new payload type has ever
        been proposed and therefore, this creates a potential risk of having a
        backward compatibility issue from non-conformant IKEv2
        implementations.  Since there appears to be no other compelling advantages
        apart from a semantic one, the existing transform type and
        notify payloads are used instead.
        </t>

        <t>Hybrid public value payload<vspace blankLines="1"/>
        One way to transport the negotiated hybrid public payload, which contains
        one classical Diffie-Hellman public value and one or more post-quantum
        public values, is to bundle these into a single KE payload.  Alternatively,
        these could also be transported in a single new hybrid public value
        payload, but following the same reasoning as above, this may not be
        a good idea from a backward compatibility perspective.  Using a single
        KE payload would require an encoding or formatting to be defined so
        that both peers are able to compose and extract the individual public
        values.  However, it is believed that it is cleaner to send the hybrid
        public values in multiple KE payloads--one for each group or
        algorithm.  Furthermore, at this point in the protocol exchange, both
        peers should have indicated support of handling multiple KE payloads.
        </t>

        <t>Fragmentation<vspace blankLines="1"/>
        Handling of large IKE_SA_INIT messages has been one of the most
        challenging tasks.  A number of approaches have been considered
        and the two prominent ones that have been discarded are outlined as
        follows.
        <vspace blankLines="1"/>
        The first approach is to treat the entire IKE_SA_INIT message as
        a stream of bytes, which is then split it into a number of
        fragments, each of which is wrapped onto a payload that will fit
        into the size of the network MTU.  The payload that wraps each
        fragment has a new payload type and it is envisaged that this new
        payload type will not cause a backward compatibility issue because
        at this stage of the protocol, both peers should have indicated
        support of fragmentation in the first pass of the IKE_SA_INIT
        exchange.  The negotiation of fragmentation is performed using  a
        notify payload, which also defines supporting parameters such as
        the size of fragment in octets and the fragment identifier.  The
        new payload that wraps each fragment of the messages in this
        exchange is assigned the same fragment identifier. Furthermore, it
        also has other parameters such as a fragment index and total
        number of fragments.  This approach has been discarded due to
        its blanket approach to fragmentation.  In cases where only a few
        payloads need to be fragmented, this approach appears to be
        overly complicated.
        <vspace blankLines="1"/>
        Another idea that has been discarded was fragmenting an individual
        payload without introducing a new payload type.  The idea is to
        use the 9-th bit (the bit after the critical flag in the RESERVED
        field) in the generic payload header as a flag to mark that this
        payload is fragmented.  As an example, if a KE payload is to be
        fragmented, it may look as follows.
        </t>

        </list>
        </t>

        <figure><artwork align="center" ><![CDATA[
                 1                   2                   3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Next Payload  |C|F| RESERVED  |         Payload Length        |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|  Diffie-Hellman Group Number  |     Fragment Identifier       |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|         Fragment Index        |        Total Fragments        |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                  Total KE Payload Data Length                 |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                                                               |
~                       Fragmented KE Payload                   ~
|                                                               |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ]]></artwork></figure>

        <t><list hangIndent="3" style="hanging"><t>
        When the flag F is set, this means the current KE payload is a
        fragment of a larger KE payload.  The Payload Length field denotes
        the size of this payload fragment in octets--including the size of
        the generic payload header.  The two-octet RESERVED field
        following Diffie-Hellman Group Number was to be used as a fragment
        identifier to help assembly and disassembly of fragments.  The
        Fragment Index and Total Fragments fields are self-explanatory.
        The Total KE Payload Data Length indicates the size of the
        assembled KE payload data in octets.  Finally, the actual fragment
        is carried in Fragment KE Payload field.</t>

        </list>
        </t>

        <t><list hangIndent="3" style="hanging"><t>
        This approach has been discarded because it is believed that the working
        group may not want to use the RESERVED field to change the
        format of a packet and that implementers may not like the
        added complexity from checking the fragmentation flag in each
        received payload.  More importantly, fragmenting the messages
        in this way may leave the system to be more prone to denial of
        service (DoS) attacks.  By using IKE_INTERMEDIATE to transport the large
        post-quantum key exchange payloads, and using the generic IKEv2
        fragmentation protocol <xref target="RFC7383" /> solve the issue.</t>
        </list>
        </t>

        <t><list style="symbols"><t>Group sub-identifier<vspace blankLines="1"/>
        As discussed before, each group identifier is used to
        distinguish a post-quantum algorithm.  Further classification
        could be made on a particular post-quantum algorithm by assigning
        additional value alongside the group identifier.  This sub-
        identifier value may be used to assign different security
        parameter sets to a given post-quantum algorithm.  However, this
        level of details does not fit the principles of the document where
        it should deal with generic hybrid key exchange protocol, not a
        specific ciphersuite.  Furthermore, there are enough Diffie-
        Hellman group identifiers should this be required in the future.
        </t>

        </list>
        </t>

    </section>

    </back>

	</rfc>
