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<rfc xmlns:xi="http://www.w3.org/2001/XInclude" ipr="trust200902" docName="draft-ietf-cose-dilithium-05" category="std" consensus="true" submissionType="IETF" tocInclude="true" sortRefs="true" symRefs="true" version="3">
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  <front>
    <title abbrev="jose-cose-dilithium">ML-DSA for JOSE and COSE</title>
    <seriesInfo name="Internet-Draft" value="draft-ietf-cose-dilithium-05"/>
    <author fullname="Michael Prorock">
      <organization>mesur.io</organization>
      <address>
        <email>mprorock@mesur.io</email>
      </address>
    </author>
    <author fullname="Orie Steele">
      <organization>Transmute</organization>
      <address>
        <email>orie@transmute.industries</email>
      </address>
    </author>
    <author fullname="Rafael Misoczki">
      <organization>Google</organization>
      <address>
        <email>rafaelmisoczki@google.com</email>
      </address>
    </author>
    <author fullname="Michael Osborne">
      <organization>IBM</organization>
      <address>
        <email>osb@zurich.ibm.com</email>
      </address>
    </author>
    <author fullname="Christine Cloostermans">
      <organization>NXP</organization>
      <address>
        <email>christine.cloostermans@nxp.com</email>
      </address>
    </author>
    <date year="2024" month="December" day="18"/>
    <area>Security</area>
    <workgroup>CBOR Object Signing and Encryption</workgroup>
    <keyword>JOSE</keyword>
    <keyword>COSE</keyword>
    <keyword>PQC</keyword>
    <keyword>DILITHIUM</keyword>
    <keyword>ML-DSA</keyword>
    <abstract>
      <?line 72?>

<t>This document describes JSON Object Signing and Encryption (JOSE) and CBOR Object Signing and Encryption (COSE) serializations for Module-Lattice-Based Digital Signature Standard (ML-DSA), a Post-Quantum Cryptography (PQC) digital signature scheme defined in FIPS 204.</t>
    </abstract>
    <note removeInRFC="true">
      <name>About This Document</name>
      <t>
        The latest revision of this draft can be found at <eref target="https://cose-wg.github.io/draft-ietf-cose-dilithium/draft-ietf-cose-dilithium.html"/>.
        Status information for this document may be found at <eref target="https://datatracker.ietf.org/doc/draft-ietf-cose-dilithium/"/>.
      </t>
      <t>
        Discussion of this document takes place on the
        CBOR Object Signing and Encryption Working Group mailing list (<eref target="mailto:cose@ietf.org"/>),
        which is archived at <eref target="https://mailarchive.ietf.org/arch/browse/cose/"/>.
        Subscribe at <eref target="https://www.ietf.org/mailman/listinfo/cose/"/>.
      </t>
      <t>Source for this draft and an issue tracker can be found at
        <eref target="https://github.com/cose-wg/draft-ietf-cose-dilithium"/>.</t>
    </note>
  </front>
  <middle>
    <?line 76?>

<section anchor="introduction">
      <name>Introduction</name>
      <t>This document describes how to use ML-DSA keys and signatures as described in <xref target="FIPS-204"/> with JOSE and COSE.</t>
    </section>
    <section anchor="terminology">
      <name>Terminology</name>
      <t>The key words "<bcp14>MUST</bcp14>", "<bcp14>MUST NOT</bcp14>", "<bcp14>REQUIRED</bcp14>", "<bcp14>SHALL</bcp14>", "<bcp14>SHALL
NOT</bcp14>", "<bcp14>SHOULD</bcp14>", "<bcp14>SHOULD NOT</bcp14>", "<bcp14>RECOMMENDED</bcp14>", "<bcp14>NOT RECOMMENDED</bcp14>",
"<bcp14>MAY</bcp14>", and "<bcp14>OPTIONAL</bcp14>" 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>
      <?line -18?>

<t>Some examples in this specification are truncated using "..." for readability.</t>
    </section>
    <section anchor="algorithm-key-pair-type">
      <name>Algorithm Key Pair Type</name>
      <t>This section describes a generic cryptographic key structure for use with algorithms not limited to those registered in this document.
The Algorithm Key Pair (AKP) Type is used to express Public and Private Keys for use with Algorithms.
When this key type is used the "alg" JSON Web Key Parameter or COSE Key Common Parameter is <bcp14>REQUIRED</bcp14>.</t>
      <t>The "pub" parameter contains a public key, this parameter contains public information.
The "priv" parameter contains a private key, sometimes called a secret key, this parameter contains private information.
The concept of public and private information classes originates from <xref section="8.1" sectionFormat="of" target="RFC7517"/>.</t>
      <t>The "pub" and "priv" parameters contain byte strings in a format specified by the "alg" value.
The values of "pub" and "priv" <bcp14>MAY</bcp14> have additional structure or length checks depending on the associated "alg" parameter and its requirements.</t>
      <t>When AKP keys are expressed in JWK, "pub" and "priv" are base64url encoded.</t>
      <t>This document requests the registration of the following key types in <xref target="IANA.jose"/>:</t>
      <table align="left" anchor="jose-key-type">
        <name>Algorithm Key Pair Type for JOSE</name>
        <thead>
          <tr>
            <th align="left">Name</th>
            <th align="left">kty</th>
            <th align="left">Description</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td align="left">Algorithm Key Pair</td>
            <td align="left">AKP</td>
            <td align="left">JSON Web Key Type for the Algorithm Key Pair.</td>
          </tr>
        </tbody>
      </table>
      <t>An example truncated private key for use with ML-DSA-44 in JWK format is provided below:</t>
      <figure anchor="json-web-key-example">
        <name>The all zeros ML-DSA-44 JSON Web Key</name>
        <artwork align="left"><![CDATA[
{
   "kid": "T4xl70S7MT6Zeq6r9V9fPJGVn76wfnXJ21-gyo0Gu6o",
   "kty": "AKP",
   "alg": "ML-DSA-44",
   "pub": "unH59k4Ru...DZgbTP07e7gEWzw4MFRrndjbDQ",
   "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
}
]]></artwork>
      </figure>
      <t>This document requests the registration of the following key type in <xref target="IANA.cose"/>:</t>
      <table align="left" anchor="cose-key-type">
        <name>Algorithm Key Pair Type for COSE</name>
        <thead>
          <tr>
            <th align="left">Name</th>
            <th align="left">kty</th>
            <th align="left">Description</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td align="left">AKP</td>
            <td align="left">TBD (requested assignment 7)</td>
            <td align="left">COSE Key Type for the Algorithm Key Pair.</td>
          </tr>
        </tbody>
      </table>
      <t>An example truncated private key for use with ML-DSA-44 in COSE_Key format is provided below:</t>
      <figure anchor="cose-key-example">
        <name>The all zeros ML-DSA-44 COSE Key</name>
        <artwork align="left"><![CDATA[
{
   / kid /   2: h'b8969ab4b37da9f068...6f0583bf5b8d3a8059a',
   / kty /   1: 7, / AKP /
   / alg /   3: -48, / ML-DSA-44 /
   / pub  / -1: h'ba71f9f64e11baeb58...c3830546b9dd8db0d',
   / priv / -2: h'00000000000000...0000000000000000'
}
]]></artwork>
      </figure>
      <t>The AKP key type and thumbprint computation for the AKP key type is generic, and suitable for use with algorithms other than ML-DSA.</t>
    </section>
    <section anchor="ml-dsa-private-keys">
      <name>ML-DSA Private Keys</name>
      <t>Note that FIPS 204 defines 2 expressions for private keys: a seed, and a private key that is expanded from the seed.
For the algorithms defined in this document, the "priv" parameter is always the seed, and never the expanded expression.
This definition mirrors the one used in <xref section="6" sectionFormat="of" target="I-D.draft-ietf-lamps-dilithium-certificates"/>.</t>
    </section>
    <section anchor="ml-dsa-algorithms">
      <name>ML-DSA Algorithms</name>
      <t>The ML-DSA Signature Scheme is parameterized to support different security levels.</t>
      <t>In this document, the abbreviations ML-DSA-44, ML-DSA-65, and ML-DSA-87 are used to refer to ML-DSA
with the parameter choices given in Table 1 of FIPS-204.</t>
      <t>This document requests the registration of the following algorithms in <xref target="IANA.jose"/>:</t>
      <table align="left" anchor="jose-algorithms">
        <name>JOSE algorithms for ML-DSA</name>
        <thead>
          <tr>
            <th align="left">Name</th>
            <th align="left">value</th>
            <th align="left">Description</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td align="left">ML-DSA-44</td>
            <td align="left">ML-DSA-44</td>
            <td align="left">JSON Web Signature Algorithm for ML-DSA-44</td>
          </tr>
          <tr>
            <td align="left">ML-DSA-65</td>
            <td align="left">ML-DSA-65</td>
            <td align="left">JSON Web Signature Algorithm for ML-DSA-65</td>
          </tr>
          <tr>
            <td align="left">ML-DSA-87</td>
            <td align="left">ML-DSA-87</td>
            <td align="left">JSON Web Signature Algorithm for ML-DSA-87</td>
          </tr>
        </tbody>
      </table>
      <t>This document requests the registration of the following algorithms in <xref target="IANA.cose"/>:</t>
      <table align="left" anchor="cose-algorithms">
        <name>COSE algorithms for ML-DSA</name>
        <thead>
          <tr>
            <th align="left">Name</th>
            <th align="left">value</th>
            <th align="left">Description</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td align="left">ML-DSA-44</td>
            <td align="left">TBD (requested assignment -48)</td>
            <td align="left">CBOR Object Signing Algorithm for ML-DSA-44</td>
          </tr>
          <tr>
            <td align="left">ML-DSA-65</td>
            <td align="left">TBD (requested assignment -49)</td>
            <td align="left">CBOR Object Signing Algorithm for ML-DSA-65</td>
          </tr>
          <tr>
            <td align="left">ML-DSA-87</td>
            <td align="left">TBD (requested assignment -50)</td>
            <td align="left">CBOR Object Signing Algorithm for ML-DSA-87</td>
          </tr>
        </tbody>
      </table>
      <t>In accordance with Algorithm Key Pair Type section of this document, when present in AKP Keys the "pub" and "priv" parameters have the following additional constraints:</t>
      <t>The "pub" parameter is the ML-DSA public key, as described in Section 5.3 of FIPS-204.</t>
      <t>The size of "pub", and the associated signature for each of these algorithms is defined in Table 2 of FIPS-204, and repeated here for convenience:</t>
      <table align="left" anchor="fips-204-table-2">
        <name>Sizes (in bytes) of keys and signatures of ML-DSA</name>
        <thead>
          <tr>
            <th align="left">Algorithm</th>
            <th align="left">Private Key</th>
            <th align="left">Public Key</th>
            <th align="left">Signature Size</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td align="left">ML-DSA-44</td>
            <td align="left">2560</td>
            <td align="left">1312</td>
            <td align="left">2420</td>
          </tr>
          <tr>
            <td align="left">ML-DSA-65</td>
            <td align="left">4032</td>
            <td align="left">1952</td>
            <td align="left">3309</td>
          </tr>
          <tr>
            <td align="left">ML-DSA-87</td>
            <td align="left">4896</td>
            <td align="left">2592</td>
            <td align="left">4627</td>
          </tr>
        </tbody>
      </table>
      <t>Note that "priv" size is always 32 bytes, and that KeyGen_internal is called to produce the private key sizes in the table above.
See the ML-DSA Private Keys section of this document for more details.</t>
      <t>These algorithms are used to produce signatures as described in Algorithm 2 of FIPS-204.
The ctx parameter <bcp14>MUST</bcp14> be the empty string for ML-DSA-44, ML-DSA-65 and ML-DSA-87.</t>
      <t>Signatures are encoded as bytestrings using th algorithms defined in Section 7.2 of FIPS-204.</t>
      <t>When producing JSON Web Signatures, the signature bytestrings are base64url encoded, and the encoded signature size is larger than described in the table above.</t>
    </section>
    <section anchor="akp-thumbprints">
      <name>AKP Thumbprints</name>
      <t>When computing the COSE Key Thumbprint as described in <xref target="I-D.draft-ietf-cose-key-thumbprint"/>, the required parameters for algorithm key pairs are:</t>
      <ul spacing="normal">
        <li>
          <t>"kty" (label: 1, data type: int, value: 7)</t>
        </li>
        <li>
          <t>"alg" (label: 3, data type: int, value: int)</t>
        </li>
        <li>
          <t>"pub" (label: -1, value: bstr)</t>
        </li>
      </ul>
      <t>The COSE Key Thumbprint is produced according to the process described in <xref section="3" sectionFormat="of" target="I-D.draft-ietf-cose-key-thumbprint"/>.</t>
      <t>When computing the JWK Thumbprint as described in <xref target="RFC7638"/>, the required parameters for algorithm key pairs are:</t>
      <ul spacing="normal">
        <li>
          <t>"kty"</t>
        </li>
        <li>
          <t>"alg"</t>
        </li>
        <li>
          <t>"pub"</t>
        </li>
      </ul>
      <t>Their lexicographic order, per <xref section="3.3" sectionFormat="of" target="RFC7638"/>, is:</t>
      <ul spacing="normal">
        <li>
          <t>"alg"</t>
        </li>
        <li>
          <t>"kty"</t>
        </li>
        <li>
          <t>"pub"</t>
        </li>
      </ul>
      <t>The JWK Key Thumbprint is produced according to the process described in <xref section="3" sectionFormat="of" target="RFC7638"/>.</t>
      <t>See the <tt>kid</tt> values in the JSON Web Key and COSE Key examples in the appendix for examples of AKP thumbprints.</t>
    </section>
    <section anchor="security-considerations">
      <name>Security Considerations</name>
      <t>The security considerations of <xref target="RFC7515"/>, <xref target="RFC7517"/> and <xref target="RFC9053"/> applies to this specification as well.</t>
      <t>A detailed security analysis of ML-DSA is beyond the scope of this specification, see <xref target="FIPS-204"/> for additional details.</t>
      <section anchor="size-of-keys-and-signatures">
        <name>Size of keys and signatures</name>
        <t>Table 2 of FIPS-204 describes the size of keys and signatures.
ML-DSA might not be the best choice for use cases that require small keys or signatures.
Use of thumbprints as described in <xref target="RFC7638"/> and <xref target="I-D.draft-ietf-cose-key-thumbprint"/> can reduce the need to repeat public key representations.</t>
      </section>
      <section anchor="regarding-hashml-dsa">
        <name>Regarding HashML-DSA</name>
        <t>This document does not specify algorithms for use with HashML-DSA as described in Section 5.4 of FIPS-204.</t>
      </section>
      <section anchor="validation-of-keys">
        <name>Validation of keys</name>
        <t>When an AKP algorithm requires or encourages that a key be validated before being used, the "pub" and "priv" parameters <bcp14>MUST</bcp14> be validated.</t>
        <t>Section 7.2 of FIPS-204 describes the encoding of ML-DSA keys and signatures.
The "pub" key parameter <bcp14>MUST</bcp14> be validated according to the pkEncode and pkDecode algorithms before being used.
For the ML-DSA algorithms registered in this document, the "priv" key parameter is a seed, and as such only a length check <bcp14>MUST</bcp14> be performed.
The length of the seed is 256 bits, which is 32 bytes.
However, if the private key derived from the seed using KeyGen_internal is stored as part of some implementation, the skEncode and skDecode algorithms <bcp14>MUST</bcp14> be used.
FIPS-204 notes, "skDecode should only be run on inputs that come from trusted sources" and that "as the seed can be used to compute the private key, it is sensitive
data and shall be treated with the same safeguards as a private key".</t>
      </section>
      <section anchor="mismatched-akp-parameters">
        <name>Mismatched AKP parameters</name>
        <t>When using an AKP key with an algorithm, it is possible that the "pub" and "priv" parameters have been tampered with or mismatched.
Depending on the algorithm and implementation, the consequences of using mismatched parameters can range from operations failing to key compromise.</t>
      </section>
    </section>
    <section anchor="iana-considerations">
      <name>IANA Considerations</name>
      <section anchor="additions-to-existing-registries">
        <name>Additions to Existing Registries</name>
        <section anchor="new-cose-algorithms">
          <name>New COSE Algorithms</name>
          <t>IANA is requested to add the following entries to the COSE Algorithms Registry.
The following completed registration templates are provided as described in RFC9053 and RFC9054.</t>
          <section anchor="ml-dsa-44">
            <name>ML-DSA-44</name>
            <ul spacing="normal">
              <li>
                <t>Name: ML-DSA-44</t>
              </li>
              <li>
                <t>Value: TBD (requested assignment -48)</t>
              </li>
              <li>
                <t>Description: CBOR Object Signing Algorithm for ML-DSA-44</t>
              </li>
              <li>
                <t>Capabilities: <tt>[kty]</tt></t>
              </li>
              <li>
                <t>Reference: RFC XXXX</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </section>
          <section anchor="ml-dsa-65">
            <name>ML-DSA-65</name>
            <ul spacing="normal">
              <li>
                <t>Name: ML-DSA-65</t>
              </li>
              <li>
                <t>Value: TBD (requested assignment -49)</t>
              </li>
              <li>
                <t>Description: CBOR Object Signing Algorithm for ML-DSA-65</t>
              </li>
              <li>
                <t>Capabilities: <tt>[kty]</tt></t>
              </li>
              <li>
                <t>Reference: RFC XXXX</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </section>
          <section anchor="ml-dsa-87">
            <name>ML-DSA-87</name>
            <ul spacing="normal">
              <li>
                <t>Name: ML-DSA-87</t>
              </li>
              <li>
                <t>Value: TBD (requested assignment -50)</t>
              </li>
              <li>
                <t>Description: CBOR Object Signing Algorithm for ML-DSA-87</t>
              </li>
              <li>
                <t>Capabilities: <tt>[kty]</tt></t>
              </li>
              <li>
                <t>Reference: RFC XXXX</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </section>
        </section>
        <section anchor="new-cose-key-types">
          <name>New COSE Key Types</name>
          <t>IANA is requested to add the following entries to the COSE Key Types Registry.
The following completed registration templates are provided as described in RFC9053.</t>
          <section anchor="akp">
            <name>AKP</name>
            <ul spacing="normal">
              <li>
                <t>Name: AKP</t>
              </li>
              <li>
                <t>Value: TBD (requested assignment 7)</t>
              </li>
              <li>
                <t>Description: COSE Key Type for Algorithm Key Pairs</t>
              </li>
              <li>
                <t>Capabilities: <tt>[kty(7)]</tt></t>
              </li>
              <li>
                <t>Reference: RFC XXXX</t>
              </li>
            </ul>
          </section>
        </section>
        <section anchor="new-cose-key-type-parameters">
          <name>New COSE Key Type Parameters</name>
          <t>IANA is requested to add the following entries to the COSE Key Type Parameters.
The following completed registration templates are provided as described in RFC9053.</t>
        </section>
        <section anchor="ml-dsa-public-key">
          <name>ML-DSA Public Key</name>
          <ul spacing="normal">
            <li>
              <t>Key Type: TBD (requested assignment 7)</t>
            </li>
            <li>
              <t>Name: pub</t>
            </li>
            <li>
              <t>Label: -1</t>
            </li>
            <li>
              <t>CBOR Type: bstr</t>
            </li>
            <li>
              <t>Description: Public key</t>
            </li>
            <li>
              <t>Reference: RFC XXXX</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-private-key">
          <name>ML-DSA Private Key</name>
          <ul spacing="normal">
            <li>
              <t>Key Type: TBD (requested assignment 7)</t>
            </li>
            <li>
              <t>Name: priv</t>
            </li>
            <li>
              <t>Label: -2</t>
            </li>
            <li>
              <t>CBOR Type: bstr</t>
            </li>
            <li>
              <t>Description: Private key or seed used to derive a private key.</t>
            </li>
            <li>
              <t>Reference: RFC XXXX</t>
            </li>
          </ul>
        </section>
        <section anchor="new-jose-algorithms">
          <name>New JOSE Algorithms</name>
          <t>IANA is requested to add the following entries to the JSON Web Signature and Encryption Algorithms Registry.
The following completed registration templates are provided as described in RFC7518.</t>
          <section anchor="ml-dsa-44-1">
            <name>ML-DSA-44</name>
            <ul spacing="normal">
              <li>
                <t>Algorithm Name: ML-DSA-44</t>
              </li>
              <li>
                <t>Algorithm Description: ML-DSA-44 as described in FIPS 204.</t>
              </li>
              <li>
                <t>Algorithm Usage Location(s): alg</t>
              </li>
              <li>
                <t>JOSE Implementation Requirements: Optional</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Value registry: <xref target="IANA.jose"/> Algorithms</t>
              </li>
              <li>
                <t>Specification Document(s): RFC XXXX</t>
              </li>
              <li>
                <t>Algorithm Analysis Documents(s): <xref target="FIPS-204"/></t>
              </li>
            </ul>
          </section>
          <section anchor="ml-dsa-65-1">
            <name>ML-DSA-65</name>
            <ul spacing="normal">
              <li>
                <t>Algorithm Name: ML-DSA-65</t>
              </li>
              <li>
                <t>Algorithm Description: ML-DSA-65 as described in FIPS 204.</t>
              </li>
              <li>
                <t>Algorithm Usage Location(s): alg</t>
              </li>
              <li>
                <t>JOSE Implementation Requirements: Optional</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Value registry: <xref target="IANA.jose"/> Algorithms</t>
              </li>
              <li>
                <t>Specification Document(s): RFC XXXX</t>
              </li>
              <li>
                <t>Algorithm Analysis Documents(s): <xref target="FIPS-204"/></t>
              </li>
            </ul>
          </section>
          <section anchor="ml-dsa-87-1">
            <name>ML-DSA-87</name>
            <ul spacing="normal">
              <li>
                <t>Algorithm Name: ML-DSA-87</t>
              </li>
              <li>
                <t>Algorithm Description: ML-DSA-87 as described in FIPS 204.</t>
              </li>
              <li>
                <t>Algorithm Usage Location(s): alg</t>
              </li>
              <li>
                <t>JOSE Implementation Requirements: Optional</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Value registry: <xref target="IANA.jose"/> Algorithms</t>
              </li>
              <li>
                <t>Specification Document(s): RFC XXXX</t>
              </li>
              <li>
                <t>Algorithm Analysis Documents(s): <xref target="FIPS-204"/></t>
              </li>
            </ul>
          </section>
        </section>
        <section anchor="new-jose-key-types">
          <name>New JOSE Key Types</name>
          <t>IANA is requested to add the following entries to the JSON Web Key Types Registry.
The following completed registration templates are provided as described in RFC7518 RFC7638.</t>
          <section anchor="akp-1">
            <name>AKP</name>
            <ul spacing="normal">
              <li>
                <t>"kty" Parameter Value: AKP</t>
              </li>
              <li>
                <t>Key Type Description: Algorithm Key Pair</t>
              </li>
              <li>
                <t>JOSE Implementation Requirements: Optional</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Specification Document(s): RFC XXXX</t>
              </li>
            </ul>
          </section>
        </section>
        <section anchor="new-json-web-key-parameters">
          <name>New JSON Web Key Parameters</name>
          <t>IANA is requested to add the following entries to the JSON Web Key Parameters Registry.
The following completed registration templates are provided as described in RFC7517, and RFC7638.</t>
          <section anchor="akp-public-key">
            <name>AKP Public Key</name>
            <ul spacing="normal">
              <li>
                <t>Parameter Name: pub</t>
              </li>
              <li>
                <t>Parameter Description: Public key</t>
              </li>
              <li>
                <t>Used with "kty" Value(s): AKP</t>
              </li>
              <li>
                <t>Parameter Information Class: Public</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Specification Document(s): RFC XXXX</t>
              </li>
            </ul>
          </section>
          <section anchor="akp-private-key">
            <name>AKP Private Key</name>
            <ul spacing="normal">
              <li>
                <t>Parameter Name: priv</t>
              </li>
              <li>
                <t>Parameter Description: Private key or seed used to derive a private key.</t>
              </li>
              <li>
                <t>Used with "kty" Value(s): AKP</t>
              </li>
              <li>
                <t>Parameter Information Class: Private</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Specification Document(s): RFC XXXX</t>
              </li>
            </ul>
          </section>
        </section>
      </section>
    </section>
  </middle>
  <back>
    <references anchor="sec-combined-references">
      <name>References</name>
      <references anchor="sec-normative-references">
        <name>Normative References</name>
        <reference anchor="IANA.jose" target="https://www.iana.org/assignments/jose">
          <front>
            <title>JSON Object Signing and Encryption (JOSE)</title>
            <author>
              <organization>IANA</organization>
            </author>
          </front>
        </reference>
        <reference anchor="IANA.cose" target="https://www.iana.org/assignments/cose">
          <front>
            <title>CBOR Object Signing and Encryption (COSE)</title>
            <author>
              <organization>IANA</organization>
            </author>
          </front>
        </reference>
        <reference anchor="RFC7515">
          <front>
            <title>JSON Web Signature (JWS)</title>
            <author fullname="M. Jones" initials="M." surname="Jones"/>
            <author fullname="J. Bradley" initials="J." surname="Bradley"/>
            <author fullname="N. Sakimura" initials="N." surname="Sakimura"/>
            <date month="May" year="2015"/>
            <abstract>
              <t>JSON Web Signature (JWS) represents content secured with digital signatures or Message Authentication Codes (MACs) using JSON-based data structures. Cryptographic algorithms and identifiers for use with this specification are described in the separate JSON Web Algorithms (JWA) specification and an IANA registry defined by that specification. Related encryption capabilities are described in the separate JSON Web Encryption (JWE) specification.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="7515"/>
          <seriesInfo name="DOI" value="10.17487/RFC7515"/>
        </reference>
        <reference anchor="RFC7517">
          <front>
            <title>JSON Web Key (JWK)</title>
            <author fullname="M. Jones" initials="M." surname="Jones"/>
            <date month="May" year="2015"/>
            <abstract>
              <t>A JSON Web Key (JWK) is a JavaScript Object Notation (JSON) data structure that represents a cryptographic key. This specification also defines a JWK Set JSON data structure that represents a set of JWKs. Cryptographic algorithms and identifiers for use with this specification are described in the separate JSON Web Algorithms (JWA) specification and IANA registries established by that specification.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="7517"/>
          <seriesInfo name="DOI" value="10.17487/RFC7517"/>
        </reference>
        <reference anchor="RFC9053">
          <front>
            <title>CBOR Object Signing and Encryption (COSE): Initial Algorithms</title>
            <author fullname="J. Schaad" initials="J." surname="Schaad"/>
            <date month="August" year="2022"/>
            <abstract>
              <t>Concise Binary Object Representation (CBOR) is a data format designed for small code size and small message size. There is a need to be able to define basic security services for this data format. This document defines a set of algorithms that can be used with the CBOR Object Signing and Encryption (COSE) protocol (RFC 9052).</t>
              <t>This document, along with RFC 9052, obsoletes RFC 8152.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9053"/>
          <seriesInfo name="DOI" value="10.17487/RFC9053"/>
        </reference>
        <reference anchor="RFC7638">
          <front>
            <title>JSON Web Key (JWK) Thumbprint</title>
            <author fullname="M. Jones" initials="M." surname="Jones"/>
            <author fullname="N. Sakimura" initials="N." surname="Sakimura"/>
            <date month="September" year="2015"/>
            <abstract>
              <t>This specification defines a method for computing a hash value over a JSON Web Key (JWK). It defines which fields in a JWK are used in the hash computation, the method of creating a canonical form for those fields, and how to convert the resulting Unicode string into a byte sequence to be hashed. The resulting hash value can be used for identifying or selecting the key represented by the JWK that is the subject of the thumbprint.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="7638"/>
          <seriesInfo name="DOI" value="10.17487/RFC7638"/>
        </reference>
        <reference anchor="I-D.draft-ietf-cose-key-thumbprint">
          <front>
            <title>CBOR Object Signing and Encryption (COSE) Key Thumbprint</title>
            <author fullname="Kohei Isobe" initials="K." surname="Isobe">
              <organization>SECOM CO., LTD.</organization>
            </author>
            <author fullname="Hannes Tschofenig" initials="H." surname="Tschofenig">
              <organization>University of Applied Sciences Bonn-Rhein-Sieg</organization>
            </author>
            <author fullname="Orie Steele" initials="O." surname="Steele">
              <organization>Transmute</organization>
            </author>
            <date day="6" month="September" year="2024"/>
            <abstract>
              <t>   This specification defines a method for computing a hash value over a
   CBOR Object Signing and Encryption (COSE) Key. It specifies which
   fields within the COSE Key structure are included in the
   cryptographic hash computation, the process for creating a canonical
   representation of these fields, and how to hash the resulting byte
   sequence.  The resulting hash value, referred to as a "thumbprint,"
   can be used to identify or select the corresponding key.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-cose-key-thumbprint-06"/>
        </reference>
        <reference anchor="RFC2119">
          <front>
            <title>Key words for use in RFCs to Indicate Requirement Levels</title>
            <author fullname="S. Bradner" initials="S." surname="Bradner"/>
            <date month="March" year="1997"/>
            <abstract>
              <t>In many standards track documents several words are used to signify the requirements in the specification. These words are often capitalized. This document defines these words as they should be interpreted in IETF documents. This document specifies an Internet Best Current Practices for the Internet Community, and requests discussion and suggestions for improvements.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="2119"/>
          <seriesInfo name="DOI" value="10.17487/RFC2119"/>
        </reference>
        <reference anchor="RFC8174">
          <front>
            <title>Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words</title>
            <author fullname="B. Leiba" initials="B." surname="Leiba"/>
            <date month="May" year="2017"/>
            <abstract>
              <t>RFC 2119 specifies common key words that may be used in protocol specifications. This document aims to reduce the ambiguity by clarifying that only UPPERCASE usage of the key words have the defined special meanings.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="8174"/>
          <seriesInfo name="DOI" value="10.17487/RFC8174"/>
        </reference>
      </references>
      <references anchor="sec-informative-references">
        <name>Informative References</name>
        <reference anchor="I-D.draft-ietf-lamps-dilithium-certificates">
          <front>
            <title>Internet X.509 Public Key Infrastructure: Algorithm Identifiers for ML-DSA</title>
            <author fullname="Jake Massimo" initials="J." surname="Massimo">
              <organization>AWS</organization>
            </author>
            <author fullname="Panos Kampanakis" initials="P." surname="Kampanakis">
              <organization>AWS</organization>
            </author>
            <author fullname="Sean Turner" initials="S." surname="Turner">
              <organization>sn3rd</organization>
            </author>
            <author fullname="Bas Westerbaan" initials="B." surname="Westerbaan">
              <organization>Cloudflare</organization>
            </author>
            <date day="4" month="November" year="2024"/>
            <abstract>
              <t>   Digital signatures are used within X.509 certificates, Certificate
   Revocation Lists (CRLs), and to sign messages.  This document
   describes the conventions for using FIPS 204, the Module-Lattice-
   Based Digital Signature Algorithm (ML-DSA) in Internet X.509
   certificates and certificate revocation lists.  The conventions for
   the associated signatures, subject public keys, and private key are
   also described.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-lamps-dilithium-certificates-05"/>
        </reference>
        <reference anchor="FIPS-204" target="https://doi.org/10.6028/NIST.FIPS.204">
          <front>
            <title>Module-Lattice-Based Digital Signature Standard</title>
            <author>
              <organization/>
            </author>
            <date>n.d.</date>
          </front>
        </reference>
        <reference anchor="NIST-PQC-2022" target="https://csrc.nist.gov/Projects/post-quantum-cryptography/selected-algorithms-2022">
          <front>
            <title>Selected Algorithms 2022</title>
            <author>
              <organization/>
            </author>
            <date>n.d.</date>
          </front>
        </reference>
      </references>
    </references>
    <?line 423?>

<section anchor="examples">
      <name>Examples</name>
      <section anchor="jose">
        <name>JOSE</name>
        <figure anchor="jose_example_ML_DSA_44">
          <name>ML_DSA_44</name>
          <artwork><![CDATA[
{
  "seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "T4xl70S7MT6Zeq6r9V9fPJGVn76wfnXJ21-gyo0Gu6o",
    "kty": "AKP",
    "alg": "ML-DSA-44",
    "pub": "unH59k4RuutY-pxvu24U5h8YZD2rSVtHU5qRZsoBmBMcRPgmu9VuNOVdteXi1zNIXjnqJg_GAAxepLqA00Vc3lO0bzRIKu39VFD8Lhuk8l0V-cFEJC-zm7UihxiQMMUEmOFxe3x1ixkKZ0jqmqP3rKryx8tSbtcXyfea64QhT6XNje2SoMP6FViBDxLHBQo2dwjRls0k5a-XSQSu2OTOiHLoaWsLe8pQ5FLNfTDqmkrawDEdZyxr3oSWJAsHQxRjcIiVzZuvwxYy1zl2STiP2vy_fTBaPemkleynQzqPg7oPCyXEE8bjnJbrfWkbNNN8438e6tHPIX4l7zTuzz98YPhLjt_d6EBdT4MldsYe-Y4KLyjaGHcAlTkk9oa5RhRwW89T0z_t1DSO3dvfKLUGXh8gd1BD6Fz5MfgpF5NjoafnQEqDjsAAhrCXY4b-Y3yYJEdX4_dp3dRGdHG_rWcPmgX4JG7lCnser4f8QGnDriqiAzJYEXeS8LzUngg_0bx0lqv_KcyU5IaLISFO0xZSU5mmEPvdSoDnyAcV8pV44qhLtAvd29n0ehG259oRihtljTWeiu9V60a1N2tbZVl5mEqSK-6_xZvNYA1TCdzNctvweH24unV7U3wer9XA9Q6kvJWDVJ4oKaQsKMrCSMlteBJMRxWbGK7ddUq6F7GdQw-3j2M-qdJvVKm9UPjY9rc1lPgol25-oJxTu7nxGlbJUH-4m5pevAN6NyZ6lfhbjWTKlxkrEKZvQXs_Yf6cpXEwpI_ZJeriq1UC1XHIpRkDwdOY9MH3an4RdDl2r9vGl_IwlKPNdh_5aF3jLgn7PCit1FNJAwC8fIncAXgAlgcXIpRXdfJk4bBiO89GGccSyDh2EgXYdpG3XvNgGWy7npuSoNTE7WIyblAk13UQuO4sdCbMIuriCdyfE73mvwj15xgb07RZRQtFGlFTmnFcIdZ90zDrWXDbANntv7KCKwNvoTuv64bY3HiGbj-NQ-U9eMylWVpvr4hrXcES8c9K3PqHWADZC0iIOvlzFv4VBoc_wVflcOrL_SIoaNFCNBAZZq-2v5lAgpJTqVOtqJ_HVraoSfcKy5g45p-qULunXj6Jwq21fobQiKubBKKOZwcJFyJD7F4ACKXOrz-HIvSHMCWW_9dVrRuCpJw0s0aVFbRqopDNhu446nqb4_EDYQM1tTHMozPd_jKxRRD0sH75X8ZoToxFSpLBDbtdWcenxj-zBf6IGWfZnmaetjKEBYJWC7QDQx1A91pJVJCEgieCkoIfTqkeQuePpIyu48g2FG3P1zjRF-kumhUTfSjo5qS0YiZQy0E1BMs6M11EvuxXRsHClLHoy5nLYI2Sj4zjVjYyxSHyPRPGGo9hwB34yWxzYNtPPGiqXS_dNCpi_zRZwRY4lCGrQ-hYTEWIK1Dm5OlttvC4_eiQ1dv63NiGkLRJ5kJA3bICN0fzCDY-MBqnd1cWn8YVBijVkgtaoascjL9EywDgJdeHnXK0eeOvUxHHhXJVkNqcibn8O4RQdpVU60TSA-uiu675ytIjcBHC6kTv8A8pmkj_4oypPd-F92YIJC741swkYQoeIHj8rE-ThcMUkF7KqC5VORbZTRp8HsZSqgiJcIPaouuxd1-8Rxrid3fXkE6p8bkrysPYoxWEJgh7ZFsRCPDWX-yTeJwFN0PKFP1j0F6YtlLfK5wv-c4F8ZQHA_-yc_gODicy7KmWDZgbTP07e7gEWzw4MFRrndjbDQ",
    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
  "jws": "eyJhbGciOiJNTC1EU0EtNDQiLCJraWQiOiJUNHhsNzBTN01UNlplcTZyOVY5ZlBKR1ZuNzZ3Zm5YSjIxLWd5bzBHdTZvIn0.SXTigJlzIGEgZGFuZ2Vyb3VzIGJ1c2luZXNzLCBGcm9kbywgZ29pbmcgb3V0IHlvdXIgZG9vci4.knI1Q_9CIzLH5Xy94Kkc7WVKqZcAgtJ3mNf0GUj1uLA6YXAWFJfXkh-zQxUtEl3UIC7zPCiUwKTDR6ZsuUmFj8Ctb_6aH64hElN7weS_1m5okCy8GqHNL2lsfclCH3Y2f4QNP-DLVS1XsuboDA7Dw3ir2IdYKIfWJyIU7ROHgd24nuun1zJbxcLJC2EKt2M8R0wZudcIE9nm5oPzYXq0z-hPsKoXp9leVYkqgMmO9Lo8SP_1YYIEth3B8v-GuP249KDTFRKPjISmK4aPCknjtjihHsQVv2XePXxKExatHl4qhsiiW-y-EJXa1Kfw4WYpLA7B4_5Ids--cIJmIx7f6xxAWKh5qoBWq1QIOaaFuzsAraRW3NOEuzThew1En85gI3GcRTZGp-VDGyxHm0Al04cyWo2bxAVOF0fbDc265iP2mCNw6Qg10jIJeAhGB4OAMYcBUWJAG0l1MN1U_koEmGh5dXKnQTRl461ea_Cq3DLkcA2Dj2woWUFyDTmQ8oO_yheASfJacyRm7_suj88z5XFNo8F53P8OxTG9xUPlrwvH-TAq7AH3NU4SNXApyVKTU3zhx1tJ34nlTILcTujXVJVo_f0DZfUxr6JSCYqvy4z1Kl0wDQzd55aopyFtQxvOPhcCHbAN34g2Ug750Jm835fl7NOxcqoMbuTcgH68kr37M-Pdh2K9WazXUJgCupgdIWW8WjfOjmTiF59CrVtfVtK2qDzF40OENCfqtNPQlZe5cN5p0P8arj4USB8HCPh7NdqQBAeWrw0wsYhdiM39lrSkA8mLRYMhZnqKGCTPCrHXDdEjRKYRNaqIUT44laYl5c27K0v-ozjKPu6tzEhkYSC4XZ3LehEFtmAzOE0mHbhKMgXqjoPJjOrGIPibX3jwK8_Q5RmMOXtXo8R3vXfBaUdQoLeeyywNYE0nIcsl4z5a8_utwEFiVf0VK2pdviyiOPVSi3zOMAmqz6gFhVy8aMMQOWZAEAuTyDw7ZWG6diwptmrgSXZotW63I19S2ZH7keCXRIq_pFLuYhOuG6dD4MkouILRdC9bXZMLrNDq7COpUOO86aQVlYd0pR935WpUw-V6obSRnHlRFZSmUSIB7h1Q0ImciRzojN93Xhw7qpzGzdzDEO3OOTayXaSG_0YHQyy-eH4hBbmgt_LBx120g1eY4XHeHFRfTfetHkL5ZZusX1jQ_nk9ez4XBG_6hRtTNSuVBsYlH8-KUuR5-qTP8dkvRf8Wk2hHoUr2sz5YO_xDFCMMTrt8ahiMyfjo5ih5Fwo3riFbFUGKibniTLXspFd4spcNK_WchlZLRgkPK4jh6Z_X8JJkHxvQhpyouHQFyGxgBrl24x-_EB1zbWMhJthmm8DiKt-nzKaJz8Cju1-HwCpg76CRqRsEz2hyKEpbb4M5KQSj3AsENCroVmQ5QIv3K2XNRkve4vjBmP6sV2b6GSY_UeRvPElA7SUgBGTKbn-c0aYhBuB8plPhRTBa55_cFqAmNmavF1-fdMktJuIaH2f-K0zZCzbHw54998T7kIWgyMsyGCAvynEB_khOqwT7tCjg5HQ8SIjdnRYW0kjZfjt5LJbGA-PnRo8gPVQVGeYDP2vsSXhNJY94AitKCY1srcSsuYDrhNBKrnoJ1uEsMPVHsgFw_ZHMyAEaVQughSNW4fm8q6_1Nv4zLutDITzmAL6a6i6-WS6QRIs_4VUtwr5cXXIFDDeHVWeGcNivQ6W9urEUP4crguiq7z_DTiYaGfUksub-T7mw0zU8ZoOSd5pUTpJLv-IYIUAl6CscHvunnRLEKqpW1Sa1dcFZs5VP4AfR3mg7wX4Vlq1AHnpFxE2L1LZiKoTc9jDEOvTDkxr86gMkwMm6RdyPF_q48AVJ1br8Qp88-4B84X52zZ5cw-IJYe-HiVJ29LpeYm340_rWivpy-UB5i9TKlMrxf94y1okzZTPbP3_v1_XX0nE7RTLz98EA96euJ7l3EpbEqks7mh6i1FJNnvvlM_u29sYobJ6PUT-i1VlQnF_JBARKEz74pBXm1l5Y5Lo15rsIlaQHinUBCO8fHCHI59LAfKusN4JmodDqLYwkWijEL_sfrC6LtrbXqpM1pw09zSrs_tS1RQ-LnWHuPrU5KLCzv53JKrh8lU_cdBowe_F-Ib_Ui4bQ2FME-0mnyG0XijHUsrGMZ9dfowvIkr83JpqwlFOZAwMmSGPNPEJRw9kDshjotndUB5S1UCfv_U4IoVn7WgvxeCS-BBxqyWfh7YTdf73EnmGwVYxVjlXaHCeeTZmUacnT4MQUAcbFjTq6BBlboAQGWP2FZWpd6HNnruv744VeWmfgLk9z5567wFhwuXMkmE2xvDo4wP80xutjUfsePx5YkLxhY1XsWqTZr19tInxJWWq8RLZsWPmtq5wZ5ucBMasCLpOABenYZdSAcQNhC73wLS0Z2s1HQhBoIl7lr1p372LZs_Seu1u_8Fo7DoJqRpKaNoc2_JUMmn7TUZS8zLyzxgeq8R8iNbRP20DwDBNXocsTDBKaQrtB-QiEPySQtJa4G61XeNZyh5aGzfoWZ9OmjZG9pbbehcqwIrt-ESjPyeT6sfSrvOfTZr7fBXwpUs2rS4BrlNse5g_h8CQiik8aaOTOEPkXiyg4s5DewRlgDZHS-3g-YXPUIBNO62_HxknkMpkJvKW-tkvDbgtxvy4nG80ul6W_KeRsoEKDTRYNKZWxXjZITNa0h6agnwNCJKEbFg3Qhre394c0i60mfP9YIgKTXrCX3Yt2eX-6mPzYmLbSbV5jH69v6WZqYV2WAj-9DU0diR4hOfYQaJnBZhTtKb-SQsYiFuN1BDJ3v9eM9K8hq91NBdCHVa-Thk9Dov-JkcTZnZGRRyW5yXHUV4NOEltBXh8GkjjDvs5Yo3u-2rPCXjK1aGPSI1W8BaUJLQY5sbfAVCAuUHBv-Vlh5Qamt-lgeKguhqTSuy-tjabOb5kiBOG7xGQt3z-XYXtnWFDCii-5h11XfZsQ-xQxy8gSfdMz4hDK9Nw_VQt6fzWiQY0Th_dHzVki0MUfVfsDUjgblhD6j0wgbs3zdj-GM3rtt8oit0wXx11bIOaOKgf07tP0wimVXMRqRWe7LCUAKTE5PkRKU1x_h4iusrzi5uwKDhc4SmRwm6KssNrmCAkiNDZCREVKd3yMnrjA4PAGDzdKWVplcHJ6jKmrsbrEztHd9QAAAAAAAAAAAAAAABIfMEQ",
  "raw_to_be_signed": "65794a68624763694f694a4e54433145553045744e4451694c434a72615751694f694a554e4868734e7a42544e3031554e6c706c63545a794f5659355a6c424b52315a754e7a5a335a6d3559536a49784c576435627a424864545a76496e302e53585469674a6c7a494745675a4746755a3256796233567a49474a3163326c755a584e7a4c434247636d396b627977675a323970626d63676233563049486c76645849675a473976636934",
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}
]]></artwork>
        </figure>
        <figure anchor="jose_example_ML_DSA_65">
          <name>ML_DSA_65</name>
          <artwork><![CDATA[
{
  "seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "Suiu29qbfuaBaR4Ats-c6XQBePB_OpAxAwcTR_0KXVM",
    "kty": "AKP",
    "alg": "ML-DSA-65",
    "pub": "QksvJn5Y1bO0TXGs_Gpla7JpUNV8YdsciAvPof6rRD8JQquL2619cIq7w1YHj22ZolInH-YsdAkeuUr7m5JkxQqIjg3-2AzV-yy9NmfmDVOevkSTAhnNT67RXbs0VaJkgCufSbzkLudVD-_91GQqVa3mk4aKRgy-wD9PyZpOMLzP-opHXlOVOWZ067galJN1h4gPbb0nvxxPWp7kPN2LDlOzt_tJxzrfvC1PjFQwNSDCm_l-Ju5X2zQtlXyJOTZSLQlCtB2C7jdyoAVwrftUXBFDkisElvgmoKlwBks23fU0tfjhwc0LVWXqhGtFQx8GGBQ-zol3e7P2EXmtIClf4KbgYq5u7Lwu848qwaItyTt7EmM2IjxVth64wHlVQruy3GXnIurcaGb_qWg764qZmteoPl5uAWwuTDX292Sa071S7GfsHFxue5lydxIYvpVUu6dyfwuExEubCovYMfz_LJd5zNTKMMatdbBJg-Qd6JPuXznqc1UYC3CccEXCLTOgg_auB6EUdG0b_cy-5bkEOHm7Wi4SDipGNig_ShzUkkot5qSqPZnd2I9IqqToi_0ep2nYLBB3ny3teW21Qpccoom3aGPt5Zl7fpzhg7Q8zsJ4sQ2SuHRCzgQ1uxYlFx21VUtHAjnFDSoMOkGyo4gH2wcLR7-z59EPPNl51pljyNefgCnMSkjrBPyz1wiET-uqi23f8Bq2TVk1jmUFxOwdfLsU7SIS30WOzvwD_gMDexUFpMlEQyL1-Y36kaTLjEWGCi2tx1FTULttQx5JpryPW6lW5oKw5RMyGpfRliYCiRyQePYqipZGoxOHpvCWhCZIN4meDY7H0RxWWQEpiyCzRQgWkOtMViwao6Jb7wZWbLNMebwLJeQJXWunk-gTEeQaMykVJobwDUiX-E_E7fSybVRTZXherY1jrvZKh8C5Gi5VADg5Vs319uN8-dVILRyOOlvjjxclmsRcn6HEvTvxd9MS7lKm2gI8BXIqhzgnTdqNGwTpmDHPV8hygqJWxWXCltBSSgY6OkGkioMAmXjZjYq_Ya9o6AE7WU_hUdm-wZmQLExwtJWEIBdDxrUxA9L9JL3weNyQtaGItPjXcheZiNBBbJTUxXwIYLnXtT1M0mHzMqGFFWXVKsN_AIdHyv4yDzY9m-tuQRfbQ_2K7r5eDOL1Tj8DZ-s8yXG74MMBqOUvlglJNgNcbuPKLRPbSDoN0E3BYkfeDgiUrXy34a5-vU-PkAWCsgAh539wJUUBxqw90V1Du7eTHFKDJEMSFYwusbPhEX4ZTwoeTHg--8Ysn4HCFWLQ00pfBCteqvMvMflcWwVfTnogcPsJb1bEFVSc3nTzhk6Ln8J-MplyS0Y5mGBEtVko_WlyeFsoDCWj4hqrgU7L-ww8vsCRSQfskH8lodiLzj0xmugiKjWUXbYq98x1zSnB9dmPy5P3UNwwMQdpebtR38N9I-jup4Bzok0-JsaOe7EORZ8ld7kAgDWa4K7BAxjc2eD540Apwxs-VLGFVkXbQgYYeDNG2tW1Xt20-XezJqZVUl6-IZXsqc7DijwNInO3fT5o8ZAcLKUUlzSlEXe8sIlHaxjLoJ-oubRtlKKUbzWOHeyxmYZSxYqQhSQj4sheedGXJEYWJ-Y5DRqB-xpy-cftxL10fdXIUhe1hWFBAoQU3b5xRY8KCytYnfLhsFF4O49xhnax3vuumLpJbCqTXpLureoKg5PvWfnpFPB0P-ZWQN35mBzqbb3ZV6U0rU55DvyXTuiZOK2Z1TxbaAd1OZMmg0cpuzewgueV-Nh_UubIqNto5RXCd7vqgqdXDUKAiWyYegYIkD4wbGMqIjxV8Oo2ggOcSj9UQPS1rD5u0rLckAzsxyty9Q5JsmKa0w8Eh7Jwe4Yob4xPVWWbJfm916avRgzDxXo5gmY7txdGFYHhlolJKdhBU9h6f0gtKEtbiUzhp4IWsqAR8riHQs7lLVEz6P537a4kL1r5FjfDf_yjJDBQmy_kdWMDqaNln-MlKK8eENjUO-qZGy0Ql4bMZtNbHXjfJUuSzapA-RqYfkqSLKgQUOW8NTDKhUk73yqCU3TQqDEKaGAoTsPscyMm7u_8QrvUK8kbc-XnxrWZ0BZJBjdinzh2w-QvjbWQ5mqFp4OMgY94__tIU8vvCUNJiYA1RdyodlfPfH5-avpxOCvBD6C7ZIDyQ-6huGEQEAb6DP8ydWIZQ8xY603DoEKKXkJWcP6CJo3nHFEdj_vcEbDQ-WESDpcQFa1fRIiGuALj-sEWcjGdSHyE8QATOcuWl4TLVzRPKAf4tCXx1zyvhJbXQu0jf0yfzVpOhPun4n-xqK4SxPBCeuJOkQ2VG9jDXWH4pnjbAcrqjveJqVti7huMXTLGuqU2uoihBw6mGqu_WSlOP2-XTEyRyvxbv2t-z9V6GPt1V9ceBukA0oGwtJqgD-q7NXFK8zhw7desI5PZMXf3nuVgbJ3xdvAlzkmm5f9RoqQS6_hqwPQEcclq1MEZ3yML5hc99TDtZWy9gGkhR0Hs3QJxxgP7bEqGFP-HjTPnJsrGaT6TjKP7qCxJlcFKLUr5AU_kxMULeUysWWtSGJ9mpxBvsyW1Juo",
    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
  "jws": "eyJhbGciOiJNTC1EU0EtNjUiLCJraWQiOiJTdWl1MjlxYmZ1YUJhUjRBdHMtYzZYUUJlUEJfT3BBeEF3Y1RSXzBLWFZNIn0.SXTigJlzIGEgZGFuZ2Vyb3VzIGJ1c2luZXNzLCBGcm9kbywgZ29pbmcgb3V0IHlvdXIgZG9vci4.zmO9_0bLgJAegoVNymfRo4nGPK5lVtSFGnDbzfzYAD5mUEXpaBUg4itvZ8rAUZi4HLb59QqDQSBSpMXC0axajXOMV_YttfmwGgC6FMyaMRZkx-A92bGiNLutqX9jcwRLJqXjMkUGhz2YpHe_mV9QpxokRCH9K6jkyFZp4hZIwFXhRt1z0OGIa5rOoHKsxOCAUZhTXKiASb3vk9lUASW0-Y58WKT4rVmst7_dvk7FVbe9A9I21IH-Tqlg1zSMoI8ozh1aBSG92uPursBd5KRcOlJwhNUYJDgHScIHXM6Hzk6u98W5orKPHu1rDIK7rHJI4Zrui4wBjmQLsPE01LcZHRx4zexDCTMCGSojbL1FiT9CU3oUep4oWOytTEAf2eCi3qDD0iSrp5IslCueoNjtGOFSnUKlsnCeiZF-tNqTy1KpJ3ErTaNPcCzCvsEalhJwFa7NOWyQOEJUzcLaPY_VEFwcCX1Gk4bEI-1rLDiyZqkXgny-U2oRnll0d3u-e2S_Rg-_eL1H_XEbPs_km-822G7JY9li4muZ5KVvfQf_5hza1V4GweqvmeWuZL1gBU2HPS7x1tWL798ALOk1rMnxsvBOPiSLxAEdPoIuw0_qMlKjTavJcDFaihgCgGMUk5SjU65IWQS9t4rgxv9Idu0OCsozo9iCBqrVcnaOwUpkMhV6KeiXA7kQNcegVaMio40cjSyMiEkhGIOEOf8L6eohOh_bPPRYs-8NrZ-VOBJCa0ubJcDU1cTuGNCa7nWWxAqfVjcMyNDx9XHBYBnSOcFNfMP7S9nvqw3KC50U_t2PH5SfwS9w4DLvcgrlEP_gwSgOXuf-i0tRGLQly3IMB7O8QOnkofyFaCUDZeurFkGTpoBfT6lzbJznQAMIDPNcWUsRlNTXsH7atC1nxl4xDJLmmPLCxiErfxbCW5gMWox0kLDwfsFj57hsXG75cZ4jiBbq9b0VjD7Vkf8xlc06ExdzBhGXz8oJiaT5WHDsuzGtrFmh6diN1cO4Cxjr6KdNE8IlyxsfXxQ4AI-0ke3gMyi0DOGeHgHuNc-JHD7oZ6njUMSTBkR1aUMNT7n_2nfFTDCdqW1HaMsMwIHfLOk6dayKXE1oMqY5Op8S5k_SAaknR0vNxmhlTA5h3bZJ28NZxM6R7D00_eBEYrH20rmRP7G7kXKzLvmWeaKAh4oQHiqjVhgauiePDRiMmjx0OhdQnMCtO8PWbx06SiviRn_5hswdVV08B48MVHqbM2AxCLLJYinC2Ep0302Uo0DI-rTNZ1Znn58kM7VCskcxDLsH9AYvPz-HQr3H7Xg0ElwjYn-jJXgZ_cdnLFt4_TuKQdpw_qhvyrNjOx0Mdc-1PrwoWqpA9sSv_pS5lwI2qNVHI2Vj2mZHByod1QUeOQExf3SBjP_FHEAUzUu1OK8M-1SQZGzJT2su3a6ZnMnp0U5qdXyMONFoI2jJ2hDjt7QEQsLx-rvaLxZMJtc2z0MHdwJGAC_kug7XjH3SWQZzBu7zzreIaSwr2A2oobeZiAydwb8LX2QsY9Jr_NphGAMAqzrpkuaMyBd_pFTKMp9s0GYxwyG1ZD9uRuPI9imA4CS7bt-O8YvbWg6eQ-qa9OqDlxNt3Xc32TniQFVxVxN6PDY33XXU-Rpvd1w47NZ48nkyJzjD8Xlbvk9p2ynxWHr-Sto5HXZdru4j8ETUW7ri3mEG1m_dxAbAe2kVbsBp2I1vQppugbmRexuMRLdYFIKqNm0qpQoWTr_k2t5KHnWolrSbFH7Usm8Pwyi4sNhh4_yRHADO2q2o19zCCx2plDSMeYI74CQPRGLlK_GLM4E5Bzfny3E2eaE5_gQBTSGNHpQtJB0ipPwDjqsjDCXqXupCkRta1vxng4coi2-vWYvKu6mq9HhdovHAaWrZRyvuPPI4ZDN_NkmfQR8HogR6NLVhLlRp1cwMArSSDA3f8QlnjdbaeutxRXvFnCCjBk79ws8VGdWAuRmIWgoEFeVAVxkJjJ07zOW8I3kNfB6pnxsZmJwWAGqWc1UlPmkNBstmSXinAzbdl-W-kn1XRDuhzTafHnkCbKS5XgJKsWD2FrhcnCaxxRxuxIGxijofjD4ihmJoYDFh1FYs9IcC-szEfMSekanWOIZCHd1fVzTSbLr5bNaOXR2sO1muFX7w22m8pBVD3fyOHK2JnK4FBCnEBrruMIDaqqu8Z4xesAHKfxY67w-25eUuvVCGL3xpXSyp90684ICkG4STztP1shLVsxKDA-37sKKplqemERlMPY4vDM1Np8JlVawbSGIuom20g6p2KV_zpIPwx9vd1nAiaeZbryf3N5gtL-dOq-c6uZhTCx9OLBtLGE3BcAmn5JFjMGQFxyTL07BluNu24Kf-lttGj9jzbwPZYrok-SnMilXGFEqB3D3cKCOlWjsgg_3cUW1uMp4KlWQvkimV9Pd7cY70w607jcYBJ3MlFZ8EeWeYPZ9qu6xwidA8XlLHxXxfLIJOgfpU8MTppfxdnMhqNSvH_Hx57oDphbUks5K1Z8-O4dSnNqQ-ZWbhaAydYQFDKuUF6HYTAvaWhJmACxhTkTp2t6-P3bev-FcdFIdszJC9LxWtJ96LY_GV4Qvp0hiIdyP1BukWNHtsXK2Rxres3_4Cndg2BOGxVcKZ9YpQDCUy76GRbTCenqjD-SG5sVUEVha5yxbKArPr2-Xpgk8cuZBRSAdmPNRdxCgUtldfCLeL7xhJvryMouxfQ75PMBaImHcsMd95075ePt_VkClUaUj55Y9E81FbOEchPfud2w3TtSvRPvB8-RgY8sLJUAclxcUGE4PnKSZJ7TIBUtHD6uyZ0-nC5KGxbXZsBEzUeHns4ix0Wmo6-6vAM4PGK3qRA1VAhtKXyvNcAfVccVi8KJMK9Mz2eIOXPATvyRy34Ltrcg8tcgK0ftYqEWYpAZ2fVpZBXcYfTIinuLN0-qLra388EZuu59jvmRD7mUv1msMWVMGVeBoNP3lJaJGGWK8iYyu4q7Grq-6WXr5qCz_7kwAtVJdb-zW8U3jLJ3tRSYlyjlpzeVAGjDQ6Yni5y9x4BF-5QUqcoGMLLglyx2WOCELT8IW7nsV21QnqqAbtCzZ76UtEdmUuEOTyqiKQZ0lrjMRm3YrCvJKxtR5thhTRka708NzBvwSRs-JxGG__EWjHhT-aB4VL3IL_oz3mt3iQoszfA-SzHcKU1laZMBuUCyxks6KiJgQGZRPXyaxxDtqZdaRP8Ic5CmuPeyu3kafi0L6LFijsUxnSGxTpgu7hfvcmowQijfE9_ylvg8k_EbI2miG11giODVCYb7k9Yjyriwc9dSUUZ7XoiS24hWYUX6BGGQNN3wVHPkDkOVSDBYTjto99ulquryx4K_UMCu9sQVNxBfMh8tLN7O9-MXlnJbHfKfqFHiPGdIYOBpwuqJdAJiyiuSG3gJxMG_wuwNkBWoO--iOm6PIarCyvL8_P-tuUfT4zIgjJJ3o6YJhbo-q2K82ZFmHuILyzfDSGtHDZpZIR7XnRQWet90cJEHL5k653kvyEHJg0iUiE0iwNA5d_4gBq3vmw1J74hwAHx0Z_iYEcPS6hDGow8M8D7UJTZDkUV_86zj2YqGm_QC_aAeD__NP6sa61bI9-gTOzvYc0JiExKTDjOK9fIvHaV-HN4xr2vWner8o6jPyETvGM8D7aEezlUVOEFwALmhJPSMAq_Fk9JlcIUuC-ITJZNtNz9Awfiru3wkPja1bXN76WAuRHjia0x5ptgMCy2py_vSHZybfIS85ZjsOQ-i_e_niBzhyzXwzBaLEyEitbF4ZQx5c88lXKDMpe9tirAI6XAcqLf4UZkD8Wm2YV7hhVfxLQ1AWLekWE9DZljCtE-SbS1EWNGR8faXKCvaZznRyoqdWz8IN3w7KvaA_ZrEKkIXkkreztG6pI06DlDHCl_sU6rCOoyQf6y1AY77Ob4SdkSRoBHGgR6Uv-LrxHpyJ6trzccu0kqxubHrkW2yHcqe6enVf43zYwWKUeJJZ10bt3a92ziSne-3aj6v3guiKoJoLnV_9h8rUF6zorTWE-Tq58tYfb5SmGf4iCJ5cy9LTY0COIfwJtPkUmyBCZwUhWJnV24P5pOZPe_CckQ28xv5J7Zf4Bvqrq_rhubFEhTJ5JvdMfz8Whc56WSHX7GRKEMqXVp3pHohBvOyT9BmotzIlibVklJy4gzkzUcjJJOld-BOaM_cnMiHpoyKXSJAXTNwXngzEpbvDP2Y0fnrgqDpO3RR3gINaZLRmeG0WI4wWBMMfw8PHjpyV17C_1hmfRI-darbZcX7PD3N4Rw4lBACyk_wnOHBcAS-5cLZEzNmFmhc4iO4msz_seQ1N0drbB0NoUVWBmcY3pGC9TiY6f6Pn-FBUnQkuBhIyPtgAAAAAAAAAABgwVHCUv",
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}
]]></artwork>
        </figure>
        <figure anchor="jose_example_ML_DSA_87">
          <name>ML_DSA_87</name>
          <artwork><![CDATA[
{
  "seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "tRn1JNIkgMsABVQBlXeDHxAIcclh-2IX0UdDEzPt5XU",
    "kty": "AKP",
    "alg": "ML-DSA-87",
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    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
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}
]]></artwork>
        </figure>
      </section>
      <section anchor="cose">
        <name>COSE</name>
        <figure anchor="cose_example_ML_DSA_44">
          <name>ML_DSA_44</name>
          <artwork><![CDATA[
{
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}
]]></artwork>
        </figure>
        <figure anchor="cose_example_ML_DSA_65">
          <name>ML_DSA_65</name>
          <artwork><![CDATA[
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}
]]></artwork>
        </figure>
        <figure anchor="cose_example_ML_DSA_87">
          <name>ML_DSA_87</name>
          <artwork><![CDATA[
{
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}
]]></artwork>
        </figure>
      </section>
    </section>
    <section numbered="false" anchor="acknowledgments">
      <name>Acknowledgments</name>
      <t>We would like to thank Simo Sorce, Ilari Liusvaara, Neil Madden, Anders Rundgren, David Waite, Russ Housley, and Lucas Prabel for their comments and reviews of this document.</t>
    </section>
  </back>
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