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<rfc xmlns:xi="http://www.w3.org/2001/XInclude" ipr="trust200902" docName="draft-ietf-jose-pq-composite-sigs-02" category="std" consensus="true" submissionType="IETF" tocInclude="true" sortRefs="true" symRefs="true" version="3">
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  <front>
    <title abbrev="JOSE/COSE Composite Signatures">PQ/T Hybrid Composite Signatures for JOSE and COSE</title>
    <seriesInfo name="Internet-Draft" value="draft-ietf-jose-pq-composite-sigs-02"/>
    <author initials="L." surname="Prabel" fullname="Lucas Prabel">
      <organization>Huawei</organization>
      <address>
        <email>lucas.prabel@huawei.com</email>
      </address>
    </author>
    <author initials="S." surname="Sun" fullname="Sun Shuzhou">
      <organization>Huawei</organization>
      <address>
        <email>sunshuzhou@huawei.com</email>
      </address>
    </author>
    <author initials="J." surname="Gray" fullname="John Gray">
      <organization abbrev="Entrust">Entrust Limited</organization>
      <address>
        <email>john.gray@entrust.com</email>
      </address>
    </author>
    <author initials="T." surname="Reddy" fullname="Tirumaleswar Reddy">
      <organization>Nokia</organization>
      <address>
        <postal>
          <city>Bangalore</city>
          <region>Karnataka</region>
          <country>India</country>
        </postal>
        <email>kondtir@gmail.com</email>
      </address>
    </author>
    <date year="2026" month="July" day="06"/>
    <area>Security</area>
    <workgroup>Javascript Object Signing and Encryption</workgroup>
    <keyword>JOSE</keyword>
    <keyword>COSE</keyword>
    <keyword>PQC</keyword>
    <keyword>ML-DSA</keyword>
    <keyword>Signature</keyword>
    <keyword>Hybrid</keyword>
    <abstract>
      <?line 92?>

<t>This document describes JSON Object Signing and Encryption (JOSE) and CBOR Object Signing and Encryption (COSE) serializations for PQ/T hybrid composite signatures. The composite algorithms described combine ML-DSA as the post-quantum component and either ECDSA or EdDSA as the traditional component.</t>
    </abstract>
    <note removeInRFC="true">
      <name>About This Document</name>
      <t>
        The latest revision of this draft can be found at <eref target="https://ietf-wg-jose.github.io/draft-ietf-jose-pq-composite-sigs/draft-ietf-jose-pq-composite-sigs.html"/>.
        Status information for this document may be found at <eref target="https://datatracker.ietf.org/doc/draft-ietf-jose-pq-composite-sigs/"/>.
      </t>
      <t>
        Discussion of this document takes place on the
        Javascript Object Signing and Encryption Working Group mailing list (<eref target="mailto:jose@ietf.org"/>),
        which is archived at <eref target="https://mailarchive.ietf.org/arch/browse/jose/"/>.
        Subscribe at <eref target="https://www.ietf.org/mailman/listinfo/jose/"/>.
      </t>
      <t>Source for this draft and an issue tracker can be found at
        <eref target="https://github.com/ietf-wg-jose/draft-ietf-jose-pq-composite-sigs"/>.</t>
    </note>
  </front>
  <middle>
    <?line 96?>

<section anchor="introduction">
      <name>Introduction</name>
      <t>The impact of a potential Cryptographically Relevant Quantum Computer (CRQC) on algorithms whose security is based on mathematical problems such as integer factorisation or discrete logarithms over finite fields or elliptic curves raises the need for new algorithms that are perceived to be secure against CRQC as well as classical computers. Such algorithms are called post-quantum, while algorithms based on integer factorisation or discrete logarithms are called traditional.</t>
      <t>While switching from a traditional algorithm to a post-quantum one intends to strengthen the security against an adversary possessing a quantum computer, the lack of maturing time of post-quantum algorithms compared to traditional algorithms raises uncertainty about their security.</t>
      <t>Thus, the joint use of a traditional algorithm and a post-quantum algorithm in protocols represents a solution to this problem by providing security as long as at least one of the traditional or post-quantum components remains secure.</t>
      <t>This document describes JSON Object Signing and Encryption (JOSE) and CBOR Object Signing and Encryption (COSE) serializations for hybrid composite signatures. The composite algorithms described combine ML-DSA as the post-quantum component and either ECDSA or EdDSA as the traditional component.</t>
    </section>
    <section anchor="conventions-and-definitions">
      <name>Conventions and Definitions</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>This document follows the terminology for post-quantum hybrid schemes defined in <xref target="I-D.draft-ietf-pquip-pqt-hybrid-terminology"/>.</t>
      <t>This section recalls some of this terminology, but also adds other definitions used throughout the whole document:</t>
      <t>"Asymmetric Traditional Cryptographic Algorithm":
         An asymmetric cryptographic algorithm based on integer factorisation, finite field discrete logarithms, elliptic curve discrete logarithms, or related mathematical problems. A related mathematical problem is one that can be solved by solving the integer factorisation, finite field discrete logarithm or elliptic curve discrete logarithm problem. Where there is little risk of confusion asymmetric traditional cryptographic algorithms can also be referred to as traditional algorithms for brevity.</t>
      <t>"Post-Quantum Algorithm":
         An asymmetric cryptographic algorithm that is intended to be secure against attacks using quantum computers as well as classical computers. As with all cryptography, it always remains the case that attacks, either quantum or classical, may be found against post-quantum algorithms. Therefore it should not be assumed that just because an algorithm is designed to provide post-quantum security it will not be compromised.</t>
      <t>"Post-Quantum Traditional (PQ/T) Hybrid Scheme":
         A multi-algorithm scheme where at least one component algorithm is a post-quantum algorithm and at least one is a traditional algorithm.</t>
      <t>"PQ/T Hybrid Digital Signature":
         A multi-algorithm digital signature scheme made up of two or more component digital signature algorithms where at least one is a post-quantum algorithm and at least one is a traditional algorithm.</t>
      <t>"Composite Algorithm":
          An algorithm which is a sequence of two component algorithms, as defined in <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>.</t>
      <t>"Component Algorithm":
         Each cryptographic algorithm that forms part of a cryptographic scheme.</t>
    </section>
    <section anchor="algorithm-key-pair-akp-type">
      <name>Algorithm Key Pair (AKP) Type</name>
      <t>This document makes use of the Algorithm Key Pair (AKP) type which is defined in <xref target="I-D.draft-ietf-cose-dilithium"/>.</t>
      <t>As a reminder, the AKP type is used to express public and private keys for use with algorithms. The parameters for public and private keys contain byte strings.</t>
      <t>This document makes use of the serialization routines defined in <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/> to obtain the byte string encodings of the composite public and private keys, adapted to use raw fixed-length encodings for ECDSA components.</t>
      <t>The process to compute JWK Thumbprint and COSE Key Thumbprint as described in <xref target="RFC7638"/> and <xref target="RFC9679"/> is detailed in <xref target="I-D.draft-ietf-cose-dilithium"/>.</t>
    </section>
    <section anchor="composite-signature-algorithm">
      <name>Composite Signature Algorithm</name>
      <t>The structures of the composite keys and composite signatures follow an approach similar to <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>. The composite design is chosen so that composite keys and signatures can be used as a drop-in replacement in JOSE / COSE object formats. This section gives some details about their construction.</t>
      <section anchor="composite-key-generation">
        <name>Composite Key Generation</name>
        <t>Composite public and private keys are generated by calling the key generation functions of the two component algorithms and concatenating the keys in an order given by the registered composite algorithm.</t>
        <t><tt>
Composite Public Key &lt;- Public Key of the 1st Algorithm || Public Key of the 2nd Algorithm
</tt>
and</t>
        <t><tt>
Composite Private Key &lt;- Private Key of the 1st Algorithm || Private Key of the 2nd Algorithm
</tt></t>
        <t>For the composite algorithms described in this document (ML-DSA with ECDSA or EdDSA), the Key Generation process is as follows:</t>
        <artwork><![CDATA[
Composite-ML-DSA.KeyGen() -> (pk, sk)

1. Generate component keys

    mldsaSeed = Random(32)
    (mldsaPK, mldsaSK) = ML-DSA.KeyGen_internal(mldsaSeed)

    (tradPK, tradSK) = Trad.KeyGen()

2. Check for component key generation failure

    if NOT (mldsaPK, mldsaSK) or NOT (tradPK, tradSK):
        output "Key generation error"

3. Serialize keys into composite form

    pk <- SerializePublicKey(mldsaPK, tradPK)
    sk <- SerializePrivateKey(mldsaSeed, tradSK)

4. Output the composite public and private keys

    return (pk, sk)
]]></artwork>
        <t>As in <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>, this keygen routine uses the seed-based ML-DSA.KeyGen_internal defined in Algorithm 6 of <xref target="FIPS.204"/>.</t>
        <t>This document makes use of the serialization routines from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/> to obtain the byte string encodings of the composite public and private keys. However, for the ECDSA component, this document departs from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>, which requires Ecdsa-Sig-Value <xref target="RFC3279"/> and ECPrivateKey <xref target="RFC5915"/>. Instead, the ECDSA signature, private key, and public key <bcp14>MUST</bcp14> use the raw fixed-length encodings already defined for ECDSA in JOSE (<xref section="3.4" sectionFormat="of" target="RFC7518"/> and <xref section="6.2.1.1" sectionFormat="of" target="RFC7518"/>) and in COSE (<xref section="2.1" sectionFormat="of" target="RFC9053"/> and <xref section="7.1" sectionFormat="of" target="RFC9053"/>).
These encodings are then used with the AKP Key Type. For more information, see the <tt>SerializePublicKey</tt>, <tt>DeserializePublicKey</tt>, <tt>SerializePrivateKey</tt> and <tt>DeserializePrivateKey</tt> algorithms from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>.</t>
        <t>For the AKP JSON Web Key Type and AKP COSE Key Type, point compression is performed for the EdDSA component, but not for the ECDSA component.</t>
        <t>In this document, as in <xref target="I-D.draft-ietf-cose-dilithium"/>, the ML-DSA private key <bcp14>MUST</bcp14> be a 32-bytes seed.</t>
      </section>
      <section anchor="composite-sign">
        <name>Composite Sign</name>
        <t>When signing a message M with the composite Sign algorithm, the signature combiner prepends a prefix as well as a label value specific to the composite algorithm used to bind the two component signatures to the composite algorithm and achieve weak non-separability, as defined in <xref target="I-D.draft-ietf-pquip-hybrid-signature-spectrums"/>.</t>
        <t>However, only the pure ML-DSA component algorithm is used internally.</t>
        <t>A composite signature's value <bcp14>MUST</bcp14> include the two signature components and the two components <bcp14>MUST</bcp14> be in the same order as the components from the corresponding signing key.</t>
        <t>A composite signature for the message M is generated by:</t>
        <ul spacing="normal">
          <li>
            <t>computing the pre-hash of the message M;</t>
          </li>
          <li>
            <t>concatenating the prefix, the label, a byte 0x00 and the pre-hash;</t>
          </li>
          <li>
            <t>encoding the resulting message;</t>
          </li>
          <li>
            <t>calling the two signature component algorithms on this new message;</t>
          </li>
          <li>
            <t>concatenating the two output signatures.</t>
          </li>
        </ul>
        <t>For the composite algorithms described in this document (ML-DSA with ECDSA or EdDSA), the signature process of a message M is as follows:</t>
        <artwork><![CDATA[
Composite-ML-DSA.Sign(sk, M) -> s

1. Compute the Message representative M'

    M' <- Prefix || Label || 0x00 || PH(M)
    M' <- Encode(M')

2. Separate the private key sk into component keys and re-generate the ML-DSA key from seed

    (mldsaSeed, tradSK) = DeserializePrivateKey(sk)
    (_, mldsaSK) = ML-DSA.KeyGen_internal(mldsaSeed)

3. Generate the two component signatures

    mldsaSig <- ML-DSA.Sign(mldsaSK, M', ctx=Label)
    tradSig <- Trad.Sign(tradSK, M')

4. If either ML-DSA.Sign() or Trad.Sign() return an error, then this process MUST return an error.

    if NOT mldsaSig or NOT tradSig:
      output "Signature generation error"

5. Output the encoded composite signature value.

    s <- SerializeSignatureValue(mldsaSig, tradSig)
    return s
]]></artwork>
        <t>The serialization routines from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/> are again used to obtain the byte string encoding of the composite signature. The <tt>SerializeSignatureValue</tt> routine simply concatenates the fixed-length ML-DSA signature value and the signature value from the traditional algorithm. However, for the ECDSA component, this document departs from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>, which requires Ecdsa-Sig-Value <xref target="RFC3279"/> and ECPrivateKey <xref target="RFC5915"/>. Instead, the ECDSA signature, private key, and public key <bcp14>MUST</bcp14> use the raw fixed-length encodings already defined for ECDSA in JOSE (<xref section="3.4" sectionFormat="of" target="RFC7518"/> and <xref section="6.2.1.1" sectionFormat="of" target="RFC7518"/>) and in COSE (<xref section="2.1" sectionFormat="of" target="RFC9053"/> and <xref section="7.1" sectionFormat="of" target="RFC9053"/>). For more information, see the <tt>SerializeSignatureValue</tt> and <tt>DeserializeSignatureValue</tt> algorithms from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>.</t>
        <t>The prefix "Prefix" string is defined as in <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/> as the byte encoding of the string "CompositeAlgorithmSignatures2025", which in hex is 436F6D706F73697465416C676F726974686D5369676E61747572657332303235. It can be used by a traditional verifier to detect if the composite signature has been stripped apart.</t>
        <t>A signature label "Label" is defined in the same way as <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>. It is specific to each composite algorithm. Additionally, the composite label is passed into the underlying ML-DSA primitive as the ctx. Signature Label values can be found in <xref target="tab-sig-alg-label"/>.</t>
        <t>Similarly to <xref target="I-D.draft-ietf-cose-dilithium"/> which indicates that the ctx parameter <bcp14>MUST</bcp14> be the empty string, the application context passed in to the composite signature algorithm <bcp14>MUST</bcp14> be the empty string. To align with the structure of the <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/> combiner, the byte 0x00 is appended in the message M' after the label to indicate the context has length 0. However, a second non-empty context, defined as the label, is passed down into the underlying pure ML-DSA component algorithm, to bind the Composite-ML-DSA algorithm used.</t>
        <t><xref target="tab-jose-algs"/> (resp. <xref target="tab-cose-algs"/>) indicates the pre-hash algorithms to use for JOSE (resp. COSE).</t>
        <t>For JOSE (resp. COSE), M' is base64url-encoded (resp. binary encoded) before signature computations.</t>
      </section>
      <section anchor="composite-verify">
        <name>Composite Verify</name>
        <t>The Verify algorithm <bcp14>MUST</bcp14> validate a signature only if all component signatures were successfully validated.</t>
        <t>The verification process of a signature sig is as follows:</t>
        <ul spacing="normal">
          <li>
            <t>separate the composite public key into the component public keys;</t>
          </li>
          <li>
            <t>separate the composite signature into its 2 component signatures;</t>
          </li>
          <li>
            <t>compute the message M' from the message M whose signature is to be verified;</t>
          </li>
          <li>
            <t>encode the resulting message M';</t>
          </li>
          <li>
            <t>verify each component signature.</t>
          </li>
        </ul>
        <artwork><![CDATA[
Composite-ML-DSA.Verify(pk, M, s) -> true or false

1. Separate the keys and signatures

    (mldsaPK, tradPK) <- DeserializePublicKey(pk)
    (mldsaSig, tradSig) <- DeserializeSignatureValue(s)

    If Error during deserialization, or if any of the component keys or signature values are not of the correct type or length for the given component algorithm then output "Invalid signature" and stop.

2. Compute the message representative M'

    M' <- Prefix || Label || 0x00 || PH(M)
    M' <- Encode(M')

3. Check each component signature individually, according to its algorithm specification.

    if NOT ML-DSA.Verify(mldsaPK, M', ctx=Label)
        output "Invalid signature"
    if NOT Trad.Verify(tradPK, M')
        output "Invalid signature"
    if all succeeded, then
        output "Valid signature"
]]></artwork>
        <t>The <tt>DeserializePublicKey</tt> and <tt>DeserializeSignatureValue</tt> serialization routines from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/> are used to get the component public keys and the component signatures. For more information, see the <tt>DeserializePublicKey</tt> and <tt>DeserializeSignatureValue</tt> algorithms from <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>.</t>
      </section>
      <section anchor="encoding-rules">
        <name>Encoding Rules</name>
        <t>In each combination, the byte streams of the keys and of the signatures are directly concatenated.</t>
        <t><tt>
Signature of the 1st Algorithm || Signature of the 2nd Algorithm
</tt></t>
        <t>Since all combinations presented in this document start with the ML-DSA algorithm and the key or signature sizes are fixed as defined in <xref target="FIPS.204"/>, it is unambiguous to encode or decode a composite key or signature.</t>
        <t><xref target="tab-ml-dsa-size"/> lists sizes of the three parameter sets of the ML-DSA algorithm.</t>
        <table anchor="tab-ml-dsa-size">
          <name>Sizes (in bytes) of keys and signatures of ML-DSA</name>
          <thead>
            <tr>
              <th align="left"> </th>
              <th align="left">Private Key (seed)</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">32</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">32</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">32</td>
              <td align="left">4896</td>
              <td align="left">2592</td>
              <td align="left">4627</td>
            </tr>
          </tbody>
        </table>
        <t>Note that the seed is always 32 bytes, and that  ML-DSA.KeyGen_internal from <xref target="FIPS.204"/> is called to produce the expanded private key from the seed, whose size corresponds to the sizes of the private key in the table above.</t>
      </section>
    </section>
    <section anchor="composite-signature-instantiations">
      <name>Composite Signature Instantiations</name>
      <t>The ML-DSA signature scheme supports three possible parameter sets, each of which corresponding to a specific security strength. See <xref target="FIPS.204"/> for more considerations on that matter.</t>
      <t>The traditional signature algorithm for each combination in <xref target="tab-jose-algs"/> and <xref target="tab-cose-algs"/> was chosen to match the security level of the ML-DSA post-quantum component.</t>
      <t>The <xref target="FIPS.204"/> specification defines both pure and pre-hash modes for ML-DSA, referred to as "ML-DSA" and "HashML-DSA" respectively. This document only specifies a single mode which is similar in construction to HashML-DSA. However, because the pre-hashing is done at the composite level, only the pure ML-DSA algorithm is used as the underlying ML-DSA primitive.</t>
      <section anchor="jose-algorithms">
        <name>JOSE algorithms</name>
        <t>The following table defines a list of algorithms associated with specific PQ/T combinations to be registered in <xref target="IANA.JOSE"/>.</t>
        <table anchor="tab-jose-algs">
          <name>JOSE Composite Signature Algorithms for ML-DSA</name>
          <thead>
            <tr>
              <th align="left">Name</th>
              <th align="left">First Algorithm</th>
              <th align="left">Second Algorithm</th>
              <th align="left">Pre-Hash</th>
              <th align="left">Description</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">ML-DSA-44-ES256</td>
              <td align="left">ML-DSA-44</td>
              <td align="left">ecdsa-with-SHA256 with secp256r1</td>
              <td align="left">SHA256</td>
              <td align="left">Composite Signature with ML-DSA-44 and ECDSA using P-256 curve and SHA256</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-65-ES256</td>
              <td align="left">ML-DSA-65</td>
              <td align="left">ecdsa-with-SHA256 with secp256r1</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-65 and ECDSA using P-256 curve and SHA256</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-87-ES384</td>
              <td align="left">ML-DSA-87</td>
              <td align="left">ecdsa-with-SHA384 with secp384r1</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-87 and ECDSA using P-384 curve and SHA384</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-44-Ed25519</td>
              <td align="left">ML-DSA-44</td>
              <td align="left">Ed25519</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-44 and Ed25519</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-65-Ed25519</td>
              <td align="left">ML-DSA-65</td>
              <td align="left">Ed25519</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-65 and Ed25519</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-87-Ed448</td>
              <td align="left">ML-DSA-87</td>
              <td align="left">Ed448</td>
              <td align="left">SHAKE256</td>
              <td align="left">Composite Signature with ML-DSA-87 and Ed448</td>
            </tr>
          </tbody>
        </table>
        <t>Examples can be found in <xref target="appdx-jose"/>.</t>
      </section>
      <section anchor="cose-algorithms">
        <name>COSE algorithms</name>
        <t>The following table defines a list of algorithms associated with specific PQ/T combinations to be registered in <xref target="IANA.COSE"/>.</t>
        <table anchor="tab-cose-algs">
          <name>COSE Composite Signature Algorithms for ML-DSA</name>
          <thead>
            <tr>
              <th align="left">Name</th>
              <th align="left">COSE Value</th>
              <th align="left">First Algorithm</th>
              <th align="left">Second Algorithm</th>
              <th align="left">Pre-Hash</th>
              <th align="left">Description</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">ML-DSA-44-ES256</td>
              <td align="left">TBD (request assignment -51)</td>
              <td align="left">ML-DSA-44</td>
              <td align="left">ecdsa-with-SHA256 with secp256r1</td>
              <td align="left">SHA256</td>
              <td align="left">Composite Signature with ML-DSA-44 and ECDSA using P-256 curve and SHA256</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-65-ES256</td>
              <td align="left">TBD (request assignment -52)</td>
              <td align="left">ML-DSA-65</td>
              <td align="left">ecdsa-with-SHA256 with secp256r1</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-65 and ECDSA using P-256 curve and SHA256</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-87-ES384</td>
              <td align="left">TBD (request assignment -53)</td>
              <td align="left">ML-DSA-87</td>
              <td align="left">ecdsa-with-SHA384 with secp384r1</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-87 and ECDSA using P-384 curve and SHA384</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-44-Ed25519</td>
              <td align="left">TBD (request assignment -54)</td>
              <td align="left">ML-DSA-44</td>
              <td align="left">Ed25519</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-44 and Ed25519</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-65-Ed25519</td>
              <td align="left">TBD (request assignment -55)</td>
              <td align="left">ML-DSA-65</td>
              <td align="left">Ed25519</td>
              <td align="left">SHA512</td>
              <td align="left">Composite Signature with ML-DSA-65 and Ed25519</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-87-Ed448</td>
              <td align="left">TBD (request assignment -56)</td>
              <td align="left">ML-DSA-87</td>
              <td align="left">Ed448</td>
              <td align="left">SHAKE256</td>
              <td align="left">Composite Signature with ML-DSA-87 and Ed448</td>
            </tr>
          </tbody>
        </table>
        <t>Examples can be found in <xref target="appdx-cose"/>.</t>
      </section>
      <section anchor="composite-labels-for-jose-and-cose">
        <name>Composite Labels for JOSE and COSE</name>
        <t>The JOSE and COSE composite label values are listed in <xref target="tab-sig-alg-label"/>.</t>
        <t>They are represented here as ASCII strings, but implementers <bcp14>MUST</bcp14> convert them to byte strings using the obvious ASCII conversions prior to concatenating them with other byte values, as in <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>.</t>
        <table anchor="tab-sig-alg-label">
          <name>JOSE/COSE Composite Label Values</name>
          <thead>
            <tr>
              <th align="left">"alg" Header Parameter</th>
              <th align="left">Label (in ASCII)</th>
              <th align="left">Label (in Hex encoding)</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">ML-DSA-44-ES256</td>
              <td align="left">COMPSIG-MLDSA44-ECDSA-P256-SHA256</td>
              <td align="left">434F4D505349472D4D4C44534134342D45434453412D503235362D534841323536</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-65-ES256</td>
              <td align="left">COMPSIG-MLDSA65-ECDSA-P256-SHA512</td>
              <td align="left">434F4D505349472D4D4C44534136352D45434453412D503235362D534841353132</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-87-ES384</td>
              <td align="left">COMPSIG-MLDSA87-ECDSA-P384-SHA512</td>
              <td align="left">434F4D505349472D4D4C44534138372D45434453412D503338342D534841353132</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-44-Ed25519</td>
              <td align="left">COMPSIG-MLDSA44-Ed25519-SHA512</td>
              <td align="left">434F4D505349472D4D4C44534134342D456432353531392D534841353132</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-65-Ed25519</td>
              <td align="left">COMPSIG-MLDSA65-Ed25519-SHA512</td>
              <td align="left">434F4D505349472D4D4C44534136352D456432353531392D534841353132</td>
            </tr>
            <tr>
              <td align="left">ML-DSA-87-Ed448</td>
              <td align="left">COMPSIG-MLDSA87-Ed448-SHAKE256</td>
              <td align="left">434F4D505349472D4D4C44534138372D45643434382D5348414B45323536</td>
            </tr>
          </tbody>
        </table>
      </section>
    </section>
    <section anchor="security-considerations">
      <name>Security Considerations</name>
      <t>The security considerations of the component algorithms (ML-DSA, ECDSA, and EdDSA) as described in <xref target="FIPS.204"/>, <xref target="RFC6090"/>, and <xref target="RFC8032"/> apply to this document.</t>
      <t>Similarly, the security considerations relative to the JWS, JWK, and COSE structures <xref target="RFC7515"/>, <xref target="RFC7517"/> and <xref target="RFC9053"/> apply to this document.</t>
      <t>In addition, the following considerations specific to the composite design and its use in JOSE/COSE must be taken into account.</t>
      <section anchor="hybrid-security-and-quantum-resistance">
        <name>Hybrid Security and Quantum Resistance</name>
        <t>An important objective of Composite ML-DSA is to provide protection against CRQCs. Under a CRQC, traditional signature algorithms (RSA, ECDSA, and EdDSA) are vulnerable to private-key recovery, enabling attackers to forge arbitrary JWS objects or COSE_Sign/COSE_Sign1 structures and fully impersonate the signer.</t>
        <t>By requiring the successful verification of both the ML-DSA component and the traditional component, this construction ensures:</t>
        <ul spacing="normal">
          <li>
            <t><strong>Dual-Algorithm Security:</strong> An adversary that compromises only one of the component algorithms cannot produce cryptographically protected JOSE/COSE objects as long as the other component remains secure.</t>
          </li>
          <li>
            <t><strong>Impersonation Prevention:</strong> In particular, this prevents JOSE/COSE signature spoofing and impersonation attacks even if the traditional signature component is compromised.</t>
          </li>
          <li>
            <t><strong>EUF-CMA Security:</strong> The scheme provides existential unforgeability under chosen-message attack (EUF-CMA) provided that at least one component algorithm is EUF-CMA secure and the pre-hash function <tt>PH</tt> is collision-resistant. This is the case for all combinations present in this document.</t>
          </li>
        </ul>
      </section>
      <section anchor="component-key-integrity-and-reuse">
        <name>Component Key Integrity and Reuse</name>
        <t>To maintain the security properties of the composite scheme, strict key management is required:</t>
        <ul spacing="normal">
          <li>
            <t><strong>No Key Reuse:</strong> To avoid key reuse, when generating a new composite key, the generation functions for both component algorithms <bcp14>MUST</bcp14> be executed. Moreover, compliant parties <bcp14>MUST NOT</bcp14> use, import, or export component keys that are used in other contexts, combinations, or as standalone keys.</t>
          </li>
          <li>
            <t><strong>Certificate-Level Protection:</strong> The integrity of the composite public key is protected through mandatory validation of the certificate header (the <tt>x5c</tt> header in JOSE per <xref target="RFC7515"/> or the <tt>x5chain</tt> header in COSE per <xref target="RFC9360"/>). Because the certificate itself is protected by a composite signature, an attacker cannot forge a fake certificate to swap a public key even if the traditional algorithm is broken. These specifications require the validation of the composite signature on the certificate itself.</t>
          </li>
        </ul>
      </section>
      <section anchor="domain-separation-and-non-separability">
        <name>Domain Separation and Non-Separability</name>
        <t>This document uses a signature combiner that prepends a fixed <tt>Prefix</tt> and a specific <tt>Label</tt> to the message representative <tt>M'</tt>.</t>
        <ul spacing="normal">
          <li>
            <t><strong>Non-separability:</strong> By binding the two component signatures to the specific composite algorithm, the composite scheme achieves "weak non-separability" as defined in <xref target="I-D.draft-ietf-pquip-hybrid-signature-spectrums"/>.</t>
          </li>
          <li>
            <t><strong>Cross-Algorithm Prevention:</strong> The unique label, specific to each composite algorithm, ensures that signatures cannot be removed from the composite and used in other contexts.</t>
          </li>
        </ul>
        <t>For more information about the security properties relative to the signature combiner, the user can read <xref target="I-D.draft-ietf-lamps-pq-composite-sigs"/>.</t>
      </section>
      <section anchor="security-objectives-and-limitations">
        <name>Security Objectives and Limitations</name>
        <t>In JOSE/COSE, the security objective of digital signatures is to ensure that only an authorized signer can produce a valid signature over a given protected header and payload.</t>
        <t>Therefore, users should be aware of specific scenarios where Composite ML-DSA may not be appropriate:</t>
        <ul spacing="normal">
          <li>
            <t><strong>SUF-CMA Security:</strong> While the construction is SUF-CMA secure against classical adversaries when paired with Ed25519 or Ed448, it is not SUF-CMA secure against quantum adversaries (who can break the traditional component). Consequently, applications for which SUF-CMA security is a strict requirement <bcp14>MUST NOT</bcp14> use Composite ML-DSA.</t>
          </li>
          <li>
            <t><strong>Non-repudiation:</strong> Composite ML-DSA is not suitable for use cases that require non-repudiation or signature uniqueness guarantees. In the JOSE/COSE threat model described above, existential unforgeability under chosen-message attack (EUF-CMA) is sufficient to meet the intended security goals.</t>
          </li>
          <li>
            <t><strong>Replay Protection:</strong> This is not handled by the signature itself but must be addressed through claims such as <tt>exp</tt>, <tt>nbf</tt>, and <tt>jti</tt> in JOSE (<xref section="4.1" sectionFormat="of" target="RFC7519"/>) or the equivalent claims in COSE (<xref section="3" sectionFormat="of" target="RFC8392"/>).</t>
          </li>
        </ul>
      </section>
    </section>
    <section anchor="iana-considerations">
      <name>IANA Considerations</name>
      <section anchor="jose-algorithms-1">
        <name>JOSE Algorithms</name>
        <t>The following values of the JWS "alg" (algorithm) are requested to be added to the "JSON Web Signature and Encryption Algorithms" registry.
They are represented following the registration template provided in <xref target="RFC7518"/>.</t>
        <section anchor="ml-dsa-44-es256">
          <name>ML-DSA-44-ES256</name>
          <ul spacing="normal">
            <li>
              <t>Algorithm Name: ML-DSA-44-ES256</t>
            </li>
            <li>
              <t>Algorithm Description: Composite Signature with ML-DSA-44 and ECDSA using P-256 curve and SHA-256</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>Specification Document(s): n/a</t>
            </li>
            <li>
              <t>Algorithm Analysis Documents(s): TBD</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-65-es256">
          <name>ML-DSA-65-ES256</name>
          <ul spacing="normal">
            <li>
              <t>Algorithm Name: ML-DSA-65-ES256</t>
            </li>
            <li>
              <t>Algorithm Description: Composite Signature with ML-DSA-65 and ECDSA using P-256 curve and SHA-256</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>Specification Document(s): n/a</t>
            </li>
            <li>
              <t>Algorithm Analysis Documents(s): TBD</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-87-es384">
          <name>ML-DSA-87-ES384</name>
          <ul spacing="normal">
            <li>
              <t>Algorithm Name: ML-DSA-87-ES384</t>
            </li>
            <li>
              <t>Algorithm Description: Composite Signature with ML-DSA-87 and ECDSA using P-384 curve and SHA-384</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>Specification Document(s): n/a</t>
            </li>
            <li>
              <t>Algorithm Analysis Documents(s): TBD</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-44-ed25519">
          <name>ML-DSA-44-Ed25519</name>
          <ul spacing="normal">
            <li>
              <t>Algorithm Name: ML-DSA-44-Ed25519</t>
            </li>
            <li>
              <t>Algorithm Description: Composite Signature with ML-DSA-44 and Ed25519 using SHA-512</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>Specification Document(s): n/a</t>
            </li>
            <li>
              <t>Algorithm Analysis Document(s): TBD</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-65-ed25519">
          <name>ML-DSA-65-Ed25519</name>
          <ul spacing="normal">
            <li>
              <t>Algorithm Name: ML-DSA-65-Ed25519</t>
            </li>
            <li>
              <t>Algorithm Description: Composite Signature with ML-DSA-65 and Ed25519 using SHA-512</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>Specification Document(s): n/a</t>
            </li>
            <li>
              <t>Algorithm Analysis Document(s): TBD</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-87-ed448">
          <name>ML-DSA-87-Ed448</name>
          <ul spacing="normal">
            <li>
              <t>Algorithm Name: ML-DSA-87-Ed448</t>
            </li>
            <li>
              <t>Algorithm Description: Composite Signature with ML-DSA-87 and Ed448 using SHAKE-256</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>Specification Document(s): n/a</t>
            </li>
            <li>
              <t>Algorithm Analysis Document(s): TBD</t>
            </li>
          </ul>
        </section>
      </section>
      <section anchor="cose-algorithms-1">
        <name>COSE Algorithms</name>
        <t>The following values are requested to be added to the "COSE Algorithms" registry.
They are represented following the registration template provided in <xref target="RFC9053"/>, <xref target="RFC9054"/>.</t>
        <section anchor="ml-dsa-44-es256-1">
          <name>ML-DSA-44-ES256</name>
          <ul spacing="normal">
            <li>
              <t>Name: ML-DSA-44-ES256</t>
            </li>
            <li>
              <t>Value: TBD (request assignment -51)</t>
            </li>
            <li>
              <t>Description: Composite Signature with ML-DSA-44 and ECDSA using P-256 curve and SHA-256</t>
            </li>
            <li>
              <t>Capabilities: <tt>[kty]</tt></t>
            </li>
            <li>
              <t>Change Controller: IETF</t>
            </li>
            <li>
              <t>Reference: n/a</t>
            </li>
            <li>
              <t>Recommended: Yes</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-65-es256-1">
          <name>ML-DSA-65-ES256</name>
          <ul spacing="normal">
            <li>
              <t>Name: ML-DSA-65-ES256</t>
            </li>
            <li>
              <t>Value: TBD (request assignment -52)</t>
            </li>
            <li>
              <t>Description: Composite Signature with ML-DSA-65 and ECDSA using P-256 curve and SHA-256</t>
            </li>
            <li>
              <t>Capabilities: <tt>[kty]</tt></t>
            </li>
            <li>
              <t>Change Controller: IETF</t>
            </li>
            <li>
              <t>Reference: n/a</t>
            </li>
            <li>
              <t>Recommended: Yes</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-87-es384-1">
          <name>ML-DSA-87-ES384</name>
          <ul spacing="normal">
            <li>
              <t>Name: ML-DSA-87-ES384</t>
            </li>
            <li>
              <t>Value: TBD (request assignment -53)</t>
            </li>
            <li>
              <t>Description: Composite Signature with ML-DSA-87 and ECDSA using P-384 curve and SHA-384</t>
            </li>
            <li>
              <t>Capabilities: <tt>[kty]</tt></t>
            </li>
            <li>
              <t>Change Controller: IETF</t>
            </li>
            <li>
              <t>Reference: n/a</t>
            </li>
            <li>
              <t>Recommended: Yes</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-44-ed25519-1">
          <name>ML-DSA-44-Ed25519</name>
          <ul spacing="normal">
            <li>
              <t>Name: ML-DSA-44-Ed25519</t>
            </li>
            <li>
              <t>Value: TBD (request assignment -54)</t>
            </li>
            <li>
              <t>Description: Composite Signature with ML-DSA-44 and Ed25519 using SHA-512</t>
            </li>
            <li>
              <t>Capabilities: <tt>[kty]</tt></t>
            </li>
            <li>
              <t>Change Controller: IETF</t>
            </li>
            <li>
              <t>Reference: n/a</t>
            </li>
            <li>
              <t>Recommended: Yes</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-65-ed25519-1">
          <name>ML-DSA-65-Ed25519</name>
          <ul spacing="normal">
            <li>
              <t>Name: ML-DSA-65-Ed25519</t>
            </li>
            <li>
              <t>Value: TBD (request assignment -55)</t>
            </li>
            <li>
              <t>Description: Composite Signature with ML-DSA-65 and Ed25519 using SHA-512</t>
            </li>
            <li>
              <t>Capabilities: <tt>[kty]</tt></t>
            </li>
            <li>
              <t>Change Controller: IETF</t>
            </li>
            <li>
              <t>Reference: n/a</t>
            </li>
            <li>
              <t>Recommended: Yes</t>
            </li>
          </ul>
        </section>
        <section anchor="ml-dsa-87-ed448-1">
          <name>ML-DSA-87-Ed448</name>
          <ul spacing="normal">
            <li>
              <t>Name: ML-DSA-87-Ed448</t>
            </li>
            <li>
              <t>Value: TBD (request assignment -56)</t>
            </li>
            <li>
              <t>Description: Composite Signature with ML-DSA-87 and Ed448 using SHAKE-256</t>
            </li>
            <li>
              <t>Capabilities: <tt>[kty]</tt></t>
            </li>
            <li>
              <t>Change Controller: IETF</t>
            </li>
            <li>
              <t>Reference: n/a</t>
            </li>
            <li>
              <t>Recommended: Yes</t>
            </li>
          </ul>
        </section>
      </section>
    </section>
  </middle>
  <back>
    <references anchor="sec-combined-references">
      <name>References</name>
      <references anchor="sec-normative-references">
        <name>Normative References</name>
        <reference anchor="RFC6090">
          <front>
            <title>Fundamental Elliptic Curve Cryptography Algorithms</title>
            <author fullname="D. McGrew" initials="D." surname="McGrew"/>
            <author fullname="K. Igoe" initials="K." surname="Igoe"/>
            <author fullname="M. Salter" initials="M." surname="Salter"/>
            <date month="February" year="2011"/>
            <abstract>
              <t>This note describes the fundamental algorithms of Elliptic Curve Cryptography (ECC) as they were defined in some seminal references from 1994 and earlier. These descriptions may be useful for implementing the fundamental algorithms without using any of the specialized methods that were developed in following years. Only elliptic curves defined over fields of characteristic greater than three are in scope; these curves are those used in Suite B. This document is not an Internet Standards Track specification; it is published for informational purposes.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="6090"/>
          <seriesInfo name="DOI" value="10.17487/RFC6090"/>
        </reference>
        <reference anchor="RFC8032">
          <front>
            <title>Edwards-Curve Digital Signature Algorithm (EdDSA)</title>
            <author fullname="S. Josefsson" initials="S." surname="Josefsson"/>
            <author fullname="I. Liusvaara" initials="I." surname="Liusvaara"/>
            <date month="January" year="2017"/>
            <abstract>
              <t>This document describes elliptic curve signature scheme Edwards-curve Digital Signature Algorithm (EdDSA). The algorithm is instantiated with recommended parameters for the edwards25519 and edwards448 curves. An example implementation and test vectors are provided.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="8032"/>
          <seriesInfo name="DOI" value="10.17487/RFC8032"/>
        </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="RFC7518">
          <front>
            <title>JSON Web Algorithms (JWA)</title>
            <author fullname="M. Jones" initials="M." surname="Jones"/>
            <date month="May" year="2015"/>
            <abstract>
              <t>This specification registers cryptographic algorithms and identifiers to be used with the JSON Web Signature (JWS), JSON Web Encryption (JWE), and JSON Web Key (JWK) specifications. It defines several IANA registries for these identifiers.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="7518"/>
          <seriesInfo name="DOI" value="10.17487/RFC7518"/>
        </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="RFC9679">
          <front>
            <title>CBOR Object Signing and Encryption (COSE) Key Thumbprint</title>
            <author fullname="K. Isobe" initials="K." surname="Isobe"/>
            <author fullname="H. Tschofenig" initials="H." surname="Tschofenig"/>
            <author fullname="O. Steele" initials="O." surname="Steele"/>
            <date month="December" 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="RFC" value="9679"/>
          <seriesInfo name="DOI" value="10.17487/RFC9679"/>
        </reference>
        <reference anchor="IANA.JOSE" target="https://www.iana.org/assignments/jose/jose.xhtml">
          <front>
            <title>JSON Object Signing and Encryption (JOSE)</title>
            <author>
              <organization>IANA</organization>
            </author>
            <date>n.d.</date>
          </front>
        </reference>
        <reference anchor="IANA.COSE" target="https://www.iana.org/assignments/cose/cose.xhtml">
          <front>
            <title>CBOR Object Signing and Encryption (COSE)</title>
            <author>
              <organization>IANA</organization>
            </author>
            <date>n.d.</date>
          </front>
        </reference>
        <reference anchor="FIPS.204" target="https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.204.pdf">
          <front>
            <title>Module-Lattice-Based Digital Signature Standard</title>
            <author>
              <organization>National Institute of Standards and Technology (NIST)</organization>
            </author>
            <date year="2024" month="August"/>
          </front>
        </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="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="RFC9054">
          <front>
            <title>CBOR Object Signing and Encryption (COSE): Hash Algorithms</title>
            <author fullname="J. Schaad" initials="J." surname="Schaad"/>
            <date month="August" year="2022"/>
            <abstract>
              <t>The CBOR Object Signing and Encryption (COSE) syntax (see RFC 9052) does not define any direct methods for using hash algorithms. There are, however, circumstances where hash algorithms are used, such as indirect signatures, where the hash of one or more contents are signed, and identification of an X.509 certificate or other object by the use of a fingerprint. This document defines hash algorithms that are identified by COSE algorithm identifiers.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9054"/>
          <seriesInfo name="DOI" value="10.17487/RFC9054"/>
        </reference>
        <reference anchor="RFC7519">
          <front>
            <title>JSON Web Token (JWT)</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 Token (JWT) is a compact, URL-safe means of representing claims to be transferred between two parties. The claims in a JWT are encoded as a JSON object that is used as the payload of a JSON Web Signature (JWS) structure or as the plaintext of a JSON Web Encryption (JWE) structure, enabling the claims to be digitally signed or integrity protected with a Message Authentication Code (MAC) and/or encrypted.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="7519"/>
          <seriesInfo name="DOI" value="10.17487/RFC7519"/>
        </reference>
        <reference anchor="RFC8392">
          <front>
            <title>CBOR Web Token (CWT)</title>
            <author fullname="M. Jones" initials="M." surname="Jones"/>
            <author fullname="E. Wahlstroem" initials="E." surname="Wahlstroem"/>
            <author fullname="S. Erdtman" initials="S." surname="Erdtman"/>
            <author fullname="H. Tschofenig" initials="H." surname="Tschofenig"/>
            <date month="May" year="2018"/>
            <abstract>
              <t>CBOR Web Token (CWT) is a compact means of representing claims to be transferred between two parties. The claims in a CWT are encoded in the Concise Binary Object Representation (CBOR), and CBOR Object Signing and Encryption (COSE) is used for added application-layer security protection. A claim is a piece of information asserted about a subject and is represented as a name/value pair consisting of a claim name and a claim value. CWT is derived from JSON Web Token (JWT) but uses CBOR rather than JSON.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="8392"/>
          <seriesInfo name="DOI" value="10.17487/RFC8392"/>
        </reference>
        <reference anchor="RFC9360">
          <front>
            <title>CBOR Object Signing and Encryption (COSE): Header Parameters for Carrying and Referencing X.509 Certificates</title>
            <author fullname="J. Schaad" initials="J." surname="Schaad"/>
            <date month="February" year="2023"/>
            <abstract>
              <t>The CBOR Object Signing and Encryption (COSE) message structure uses references to keys in general. For some algorithms, additional properties are defined that carry parameters relating to keys as needed. The COSE Key structure is used for transporting keys outside of COSE messages. This document extends the way that keys can be identified and transported by providing attributes that refer to or contain X.509 certificates.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9360"/>
          <seriesInfo name="DOI" value="10.17487/RFC9360"/>
        </reference>
        <reference anchor="RFC3279">
          <front>
            <title>Algorithms and Identifiers for the Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile</title>
            <author fullname="L. Bassham" initials="L." surname="Bassham"/>
            <author fullname="W. Polk" initials="W." surname="Polk"/>
            <author fullname="R. Housley" initials="R." surname="Housley"/>
            <date month="May" year="2002"/>
            <abstract>
              <t>This document specifies algorithm identifiers and ASN.1 encoding formats for digital signatures and subject public keys used in the Internet X.509 Public Key Infrastructure (PKI). Digital signatures are used to sign certificates and certificate revocation list (CRLs). Certificates include the public key of the named subject. [STANDARDS-TRACK]</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="3279"/>
          <seriesInfo name="DOI" value="10.17487/RFC3279"/>
        </reference>
        <reference anchor="RFC5915">
          <front>
            <title>Elliptic Curve Private Key Structure</title>
            <author fullname="S. Turner" initials="S." surname="Turner"/>
            <author fullname="D. Brown" initials="D." surname="Brown"/>
            <date month="June" year="2010"/>
            <abstract>
              <t>This document specifies the syntax and semantics for conveying Elliptic Curve (EC) private key information. The syntax and semantics defined herein are based on similar syntax and semantics defined by the Standards for Efficient Cryptography Group (SECG). This document is not an Internet Standards Track specification; it is published for informational purposes.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="5915"/>
          <seriesInfo name="DOI" value="10.17487/RFC5915"/>
        </reference>
        <reference anchor="I-D.draft-ietf-lamps-pq-composite-sigs">
          <front>
            <title>Composite Module-Lattice-Based Digital Signature Algorithm (ML-DSA) for use in X.509 Public Key Infrastructure</title>
            <author fullname="Mike Ounsworth" initials="M." surname="Ounsworth">
              <organization>Entrust Limited</organization>
            </author>
            <author fullname="John Gray" initials="J." surname="Gray">
              <organization>Entrust Limited</organization>
            </author>
            <author fullname="Massimiliano Pala" initials="M." surname="Pala">
              <organization>OpenCA Labs</organization>
            </author>
            <author fullname="Jan Klaußner" initials="J." surname="Klaußner">
              <organization>Bundesdruckerei GmbH</organization>
            </author>
            <author fullname="Scott Fluhrer" initials="S." surname="Fluhrer">
              <organization>Cisco Systems</organization>
            </author>
            <date day="21" month="April" year="2026"/>
            <abstract>
              <t>   This document defines combinations of US NIST Module-Lattice-Based
   Digital Signature Algorithm (ML-DSA) in hybrid with traditional
   algorithms RSASSA-PKCS1-v1.5, RSASSA-PSS, ECDSA, Ed25519, and Ed448.
   These combinations are tailored to meet regulatory guidelines in
   certain regions.  Composite ML-DSA is applicable in applications that
   use X.509 or PKIX data structures that accept ML-DSA, but where the
   operator wants extra protection against breaks or catastrophic bugs
   in ML-DSA, and where existential unforgeability (EUF-CMA) level
   security is acceptable.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-lamps-pq-composite-sigs-19"/>
        </reference>
        <reference anchor="I-D.draft-ietf-pquip-pqt-hybrid-terminology">
          <front>
            <title>Terminology for Post-Quantum Traditional Hybrid Schemes</title>
            <author fullname="Flo D" initials="F." surname="D">
              <organization>UK National Cyber Security Centre</organization>
            </author>
            <author fullname="Michael P" initials="M." surname="P">
              <organization>UK National Cyber Security Centre</organization>
            </author>
            <author fullname="Britta Hale" initials="B." surname="Hale">
              <organization>Naval Postgraduate School</organization>
            </author>
            <date day="10" month="January" year="2025"/>
            <abstract>
              <t>   One aspect of the transition to post-quantum algorithms in
   cryptographic protocols is the development of hybrid schemes that
   incorporate both post-quantum and traditional asymmetric algorithms.
   This document defines terminology for such schemes.  It is intended
   to be used as a reference and, hopefully, to ensure consistency and
   clarity across different protocols, standards, and organisations.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-pquip-pqt-hybrid-terminology-06"/>
        </reference>
        <reference anchor="I-D.draft-ietf-pquip-hybrid-signature-spectrums">
          <front>
            <title>Hybrid signature spectrums</title>
            <author fullname="Nina Bindel" initials="N." surname="Bindel">
              <organization>SandboxAQ</organization>
            </author>
            <author fullname="Britta Hale" initials="B." surname="Hale">
              <organization>Naval Postgraduate School</organization>
            </author>
            <author fullname="Deirdre Connolly" initials="D." surname="Connolly">
              <organization>SandboxAQ</organization>
            </author>
            <author fullname="Flo D" initials="F." surname="D">
              <organization>UK National Cyber Security Centre</organization>
            </author>
            <date day="20" month="June" year="2025"/>
            <abstract>
              <t>   This document describes classification of design goals and security
   considerations for hybrid digital signature schemes, including proof
   composability, non-separability of the component signatures given a
   hybrid signature, backwards/forwards compatibility, hybrid
   generality, and simultaneous verification.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-pquip-hybrid-signature-spectrums-07"/>
        </reference>
        <reference anchor="I-D.draft-ietf-cose-dilithium">
          <front>
            <title>ML-DSA for JOSE and COSE</title>
            <author fullname="Michael Prorock" initials="M." surname="Prorock">
              <organization>Tradeverifyd</organization>
            </author>
            <author fullname="Orie Steele" initials="O." surname="Steele">
              <organization>Tradeverifyd</organization>
            </author>
            <date day="15" month="November" year="2025"/>
            <abstract>
              <t>   This document specifies 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 US NIST FIPS
   204.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-cose-dilithium-11"/>
        </reference>
      </references>
    </references>
    <?line 569?>

<section anchor="appdx">
      <name>Examples</name>
      <section anchor="appdx-jose">
        <name>JOSE</name>
        <figure anchor="jose_example_ML_DSA_44_ES256">
          <name>ML-DSA-44-ES256</name>
          <artwork><![CDATA[
{
  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "ecdsa_d": "0000000000000000000000000000000000000000000000000000000000000001",
  "jwk": {
    "kid": "hV-Q1oYd3jbigYtSV3Uz4iidxU1eJ_0A3otBX1v793E",
    "kty": "AKP",
    "alg": "ML-DSA-44-ES256",
    "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_gODicy7KmWDZgbTP07e7gEWzw4MFRrndjbDWsX0fLhLEJH-Lzm5WOkQPJ3A32BLeszoPShOUXYmMKWT-NC4v4af5uO5-tKfA-eFivOM1drMV7Oy7ZAaDe_UfU",
    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQ"
  },
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  "raw_to_be_signed": "436f6d706f73697465416c676f726974686d5369676e61747572657332303235434f4d505349472d4d4c44534134342d45434453412d503235362d534841323536004dc3664a13a79a1e3b82ba12b77a0716b5a3eb10f399eb89d881f5812650f9e7",
  "raw_composite_signature": 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}
]]></artwork>
        </figure>
        <figure anchor="jose_example_ML_DSA_44_Ed25519">
          <name>ML-DSA-44-Ed25519</name>
          <artwork><![CDATA[
{
  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "eddsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "5ETztyaAQkvflhmjJ6mtdwlWEb3Nr4ymcDpN8eXQ8h4",
    "kty": "AKP",
    "alg": "ML-DSA-44-Ed25519",
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    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
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  "raw_composite_public_key": "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"
}
]]></artwork>
        </figure>
        <figure anchor="jose_example_ML_DSA_65_ES256">
          <name>ML-DSA-65-ES256</name>
          <artwork><![CDATA[
{
  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "ecdsa_d": "0000000000000000000000000000000000000000000000000000000000000001",
  "jwk": {
    "kid": "dLQ8GfiefROi1IaLjZ1oOfI0TVwfy5oW0Pg0cVX5NRo",
    "kty": "AKP",
    "alg": "ML-DSA-65-ES256",
    "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_kxMULeUysWWtSGJ9mpxBvsyW1JuprF9Hy4SxCR_i85uVjpEDydwN9gS3rM6D0oTlF2JjClk_jQuL-Gn-bjufrSnwPnhYrzjNXazFezsu2QGg3v1H1",
    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQ"
  },
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}
]]></artwork>
        </figure>
        <figure anchor="jose_example_ML_DSA_65_Ed25519">
          <name>ML-DSA-65-Ed25519</name>
          <artwork><![CDATA[
{
  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "eddsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "87Vn3JTmvTdxvpetv0rA5GwfoLnCkMxBDCJvYgFVuh4",
    "kty": "AKP",
    "alg": "ML-DSA-65-Ed25519",
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    "priv": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"
  },
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}
]]></artwork>
        </figure>
        <figure anchor="jose_example_ML_DSA_87_ES384">
          <name>ML-DSA-87-ES384</name>
          <artwork><![CDATA[
{
  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "ecdsa_d": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
  "jwk": {
    "kid": "TM2gBuGEnvbcEeIDbrxcb_4_EN9CjEXhfqeDwCTMfKs",
    "kty": "AKP",
    "alg": "ML-DSA-87-ES384",
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}
]]></artwork>
        </figure>
        <figure anchor="jose_example_ML_DSA_87_Ed448">
          <name>ML-DSA-87-Ed448</name>
          <artwork><![CDATA[
{
  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "eddsa_seed": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
  "jwk": {
    "kid": "qVsShuAUuE5EUbqI481LsrarR_kKdrix0rnVJ226Ko4",
    "kty": "AKP",
    "alg": "ML-DSA-87-Ed448",
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}
]]></artwork>
        </figure>
      </section>
      <section anchor="appdx-cose">
        <name>COSE</name>
        <figure anchor="cose_example_ML_DSA_44_ES256">
          <name>ML-DSA-44-ES256</name>
          <artwork><![CDATA[
{
  "priv": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
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}
]]></artwork>
        </figure>
        <figure anchor="cose_example_ML_DSA_44_Ed25519">
          <name>ML-DSA-44-Ed25519</name>
          <artwork><![CDATA[
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}
]]></artwork>
        </figure>
        <figure anchor="cose_example_ML_DSA_65_ES256">
          <name>ML-DSA-65-ES256</name>
          <artwork><![CDATA[
{
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  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
  "ecdsa_d": "0000000000000000000000000000000000000000000000000000000000000001",
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  "key_diag": "{1: 7, 2: h'ccdbb5898f1992cb', 3: -52, -1: h'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', -2: h'00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001'}",
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}
]]></artwork>
        </figure>
        <figure anchor="cose_example_ML_DSA_65_Ed25519">
          <name>ML-DSA-65-Ed25519</name>
          <artwork><![CDATA[
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}
]]></artwork>
        </figure>
        <figure anchor="cose_example_ML_DSA_87_ES384">
          <name>ML-DSA-87-ES384</name>
          <artwork><![CDATA[
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}
]]></artwork>
        </figure>
        <figure anchor="cose_example_ML_DSA_87_Ed448">
          <name>ML-DSA-87-Ed448</name>
          <artwork><![CDATA[
{
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  "mldsa_seed": "0000000000000000000000000000000000000000000000000000000000000000",
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}
]]></artwork>
        </figure>
      </section>
    </section>
    <section anchor="acknowledgments">
      <name>Acknowledgments</name>
      <t>We thank Orie Steele for his valuable comments on this document.</t>
    </section>
  </back>
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