Crypto Forum B. E. Westerbaan Internet-Draft C. A. Wood Intended status: Informational Cloudflare Expires: 12 October 2023 10 April 2023 X25519Kyber768Draft00 hybrid post-quantum KEM for HPKE draft-westerbaan-cfrg-hpke-xyber768d00-01 Abstract This memo defines X25519Kyber768Draft00, a hybrid post-quantum KEM, for HPKE (RFC9180). This KEM does not support the authenticated modes of HPKE. About This Document This note is to be removed before publishing as an RFC. The latest revision of this draft can be found at https://bwesterb.github.io/draft-westerbaan-cfrg-hpke-xyber768d00/ draft-westerbaan-cfrg-hpke-xyber768d00.html. Status information for this document may be found at https://datatracker.ietf.org/doc/draft- westerbaan-cfrg-hpke-xyber768d00/. Discussion of this document takes place on the Crypto Forum Research Group mailing list (mailto:cfrg@ietf.org), which is archived at https://mailarchive.ietf.org/arch/search/?email_list=cfrg. Subscribe at https://www.ietf.org/mailman/listinfo/cfrg/. Source for this draft and an issue tracker can be found at https://github.com/bwesterb/draft-westerbaan-cfrg-hpke-xyber768d00. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet- Drafts is at https://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." Westerbaan & Wood Expires 12 October 2023 [Page 1] Internet-Draft hpke-xyber768d00 April 2023 This Internet-Draft will expire on 12 October 2023. Copyright Notice Copyright (c) 2023 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/ license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Table of Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1. Motivation . . . . . . . . . . . . . . . . . . . . . . . 2 1.2. Not an authenticated KEM . . . . . . . . . . . . . . . . 3 2. Conventions and Definitions . . . . . . . . . . . . . . . . . 3 3. Construction . . . . . . . . . . . . . . . . . . . . . . . . 3 3.1. SerializePublicKey and DeserializePublicKey . . . . . . . 3 3.2. SerializePrivateKey and DeserializePrivateKey . . . . . . 4 3.3. DeriveKeyPair . . . . . . . . . . . . . . . . . . . . . . 4 3.4. Encap and Decap . . . . . . . . . . . . . . . . . . . . . 5 3.5. AuthEncap and AuthDecap . . . . . . . . . . . . . . . . . 5 4. Security Considerations . . . . . . . . . . . . . . . . . . . 6 5. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 6 6. References . . . . . . . . . . . . . . . . . . . . . . . . . 6 6.1. Normative References . . . . . . . . . . . . . . . . . . 6 6.2. Informative References . . . . . . . . . . . . . . . . . 7 Appendix A. Acknowledgements . . . . . . . . . . . . . . . . . . 8 Appendix B. Change log . . . . . . . . . . . . . . . . . . . . . 8 B.1. Since draft-westerbaan-cfrg-hpke-xyber768d00-00 . . . . . 8 Appendix C. Test Vectors . . . . . . . . . . . . . . . . . . . . 8 C.1. DHKEM(X25519, HKDF-SHA256)+Kyber768Draft00, HKDF-SHA256, AES-128-GCM . . . . . . . . . . . . . . . . . . . . . . . 8 C.1.1. Base Setup Information . . . . . . . . . . . . . . . 8 C.1.2. PSK Setup Information . . . . . . . . . . . . . . . . 19 Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 30 1. Introduction 1.1. Motivation The final draft for Kyber is expected in 2024. There is a desire to deploy post-quantum cryptography earlier than that. To promote interoperability of early implementations, this document specifies a preliminary hybrid post-quantum key agreement. Westerbaan & Wood Expires 12 October 2023 [Page 2] Internet-Draft hpke-xyber768d00 April 2023 1.2. Not an authenticated KEM Kyber is a plain KEM that does not support the static-ephemeral key exchange that allows HPKE based on Diffie-Hellman based KEMs its (optional) authenticated modes. 2. Conventions and Definitions The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here. 3. Construction In short, X25519Kyber768Draft00 is the parallel combination of DHKEM(X25519, HKDF-SHA256) [RFC9180] [RFC7748] and Kyber768Draft00 [KYBER]: wire encodings of public key, private key, cipher texts and shared secrets are simple concatenations. A KEM private key is a tuple of an DHKEM(X25519, HKDF-SHA256) private key and Kyber768Draft00 private key, where each is an octet string of length 32 and 2400 bytes, respectively. Similarly, a KEM public key is a tuple of an DHKEM(X25519, HKDF-SHA256) public key and Kyber768Draft00 public key. Kyber768Draft00 is Kyber768 as submitted to the third round of the NIST PQC process [KyberV302], where it is also known as v3.02. Note that this hybrid KEM is different from the one defined in [TLS-XYBER] based on [HYBRID] for TLS, as raw X25519 shared secrets can be used, thanks to the message transcript. We use HKDF-SHA256 as the HPKE HKDF. We denote the DHKEM(X25519, HKDF-SHA256) KEM as DHKEM throughout the document. 3.1. SerializePublicKey and DeserializePublicKey SerializePublicKey and DeserializePublicKey encode and decode X25519Kyber768Draft00 public keys to and from their wire format representation. Their implementation is described below. Note that DHKEM public keys MUST be validated before they can be used as stipulated in Section 7.1.1 of [RFC9180]. Westerbaan & Wood Expires 12 October 2023 [Page 3] Internet-Draft hpke-xyber768d00 April 2023 def SerializePublicKey(pkX): (pkA, pkB) = pkX return concat( DHKEM.SerializePublicKey(pkA), pkB ) def DeserializePublicKey(pkXm): return ( DHKEM.DeserializePublicKey(pkXm[0:32]), pkXm[32:1216] ) DHKEM.SerializePublicKey() and DHKEM.DeserializePublicKey() are SerializePublicKey() and respectively DeserializePublicKey() as defined for DHKEM in Section 7.1.1 of [RFC9180]. 3.2. SerializePrivateKey and DeserializePrivateKey SerializePrivateKey and DeserializePrivateKey encode and decode X25519Kyber768Draft00 private keys to and from their wire format representation. Their implementation is described below. def SerializePrivateKey(skX): (skA, skB) = skX return concat( DHKEM.SerializePrivateKey(skA), skB ) def DeserializePrivateKey(skXm): return ( DHKEM.DeserializePrivateKey(skXm[0:32]), skXm[32:2432] ) DHKEM.SerializePrivateKey() and DHKEM.DeserializePrivateKey() are SerializePrivateKey() and respectively DeserializePrivateKey() as defined for DHKEM in Section 7.1.2 of [RFC9180]. 3.3. DeriveKeyPair DeriveKeyPair deterministically derives a X25519Kyber768Draft00 private and public key pair from a fixed-length seed. In particular, a single seed is stretched and passed to the relevant key derivation functions for DHKEM and Kyber768Draft00. Westerbaan & Wood Expires 12 October 2023 [Page 4] Internet-Draft hpke-xyber768d00 April 2023 def DeriveKeyPair(ikm): dkp_prk = LabeledExtract("", "dkp_prk", ikm) seed = LabeledExpand(dkp_prk, "sk", 32 + 64) seed1 = seed[0:32] seed2 = seed[32:96] sk1, pk1 = DHKEM.DeriveKeyPair(seed1) sk2, pk2 = Kyber768Draft00.DeriveKeyPair(seed2) return (concat(sk1, sk2), concat(pk1, pk2)) DHKEM.DeriveKeyPair() is DeriveKeyPair() defined for DHKEM in Section 7.1.3 of [RFC9180]. Kyber768Draft00.DeriveKeyPair() is the key generation as defined in Section 11.1 of [KYBER]. ikm SHOULD be at least 32 octets in length. (This is contrary to [RFC9180] which stipulates it should be at least Nsk=2432 octets in length.) 3.4. Encap and Decap Encap and Decap are the primary KEM functions. Their implementation is described below. def Encap(pkR): (pkA, pkB) = pkR (ss1, enc1) = DHKEM.Encap(pkA) (ss2, enc2) = Kyber768Draft00.Encap(pkB) return ( concat(ss1, ss2), concat(enc1, enc2) ) def Decap(enc, skR): (skA, skB) = skR enc1 = enc[0:32] enc2 = enc[32:1120] ss1 = DHKEM.Decap(enc1, skA) ss2 = Kyber768Draft00.Decap(enc2, skB) return concat(ss1, ss2) 3.5. AuthEncap and AuthDecap X25519Kyber768Draft00 is not an authenticeted KEM and does not support AuthEncap() or AuthDecap(), see Section 1.2. Westerbaan & Wood Expires 12 October 2023 [Page 5] Internet-Draft hpke-xyber768d00 April 2023 4. Security Considerations We aim for IND-CCA2 robustness: that means that if either constituent KEM is not IND-CCA2 secure, but the other is, the combined hybrid remains IND-CCA2 secure. In general [GHP18] [COMBINERS] this requires a combiner that mixes in the cipher texts, such as, assuming fixed-length cipher texts and shared secrets: HKDF(concat(ss1, ss2, enc1, enc2)). In the present case, DHKEM(X25519, -) and Kyber768Draft00 already mix in the respective cipher texts into their shared secrets. Thus we can forgo mixing in the cipher texts a second time. Furthermore, in HPKE, the shared secret is never used directly, but passed through HKDF (via KeySchedule), and thus we can forgo the call to HKDF as well. 5. IANA Considerations This document requests/registers a new entry to the "HPKE KEM Identifiers" registry. Value: 0x30 (please) KEM: X25519Kyber768Draft00 Nsecret: 64 Nenc: 1120 Npk: 1216 Nsk: 2432 Auth: no Reference: This document 6. References 6.1. Normative References Westerbaan & Wood Expires 12 October 2023 [Page 6] Internet-Draft hpke-xyber768d00 April 2023 [KYBER] Schwabe, P. and B. Westerbaan, "Kyber Post-Quantum KEM", Work in Progress, Internet-Draft, draft-cfrg-schwabe- kyber-02, 31 March 2023, . [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, March 1997, . [RFC7748] Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves for Security", RFC 7748, DOI 10.17487/RFC7748, January 2016, . [RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, May 2017, . [RFC9180] Barnes, R., Bhargavan, K., Lipp, B., and C. Wood, "Hybrid Public Key Encryption", RFC 9180, DOI 10.17487/RFC9180, February 2022, . 6.2. Informative References [COMBINERS] Ounsworth, M., Wussler, A., and S. Kousidis, "Combiner function for hybrid key encapsulation mechanisms (Hybrid KEMs)", Work in Progress, Internet-Draft, draft-ounsworth- cfrg-kem-combiners-03, 13 March 2023, . [GHP18] Giacon, F., Heuer, F., and B. Poettering, "KEM Combiners", 2018, . [HYBRID] Stebila, D., Fluhrer, S., and S. Gueron, "Hybrid key exchange in TLS 1.3", Work in Progress, Internet-Draft, draft-ietf-tls-hybrid-design-06, 27 February 2023, . Westerbaan & Wood Expires 12 October 2023 [Page 7] Internet-Draft hpke-xyber768d00 April 2023 [KyberV302] Avanzi, R., Bos, J., Ducas, L., Kiltz, E., Lepoint, T., Lyubashevsky, V., Schanck, J., Schwabe, P., Seiler, G., and D. Stehle, "CRYSTALS-Kyber, Algorithm Specification And Supporting Documentation (version 3.02)", 2021, . [TLS-XYBER] Westerbaan, B. and D. Stebila, "X25519Kyber768Draft00 hybrid post-quantum key agreement", Work in Progress, Internet-Draft, draft-tls-westerbaan-xyber768d00-02, 31 March 2023, . Appendix A. Acknowledgements The authors would like to thank P. Kampanakis, I. Liusvaara, T. Wiggers, and S. Farrell for their input. Appendix B. Change log *RFC Editor's Note:* Please remove this section prior to publication of a final version of this document. B.1. Since draft-westerbaan-cfrg-hpke-xyber768d00-00 * Add acknowledgements. * Elaborate on missing authenticated modes. * Add test vectors for the PSK mode. Appendix C. Test Vectors This section contains test vectors formatted similary to that which are found in [RFC9180], except that it only contains vectors for the non-authenticated modes of operation. C.1. DHKEM(X25519, HKDF-SHA256)+Kyber768Draft00, HKDF-SHA256, AES- 128-GCM C.1.1. Base Setup Information Westerbaan & Wood Expires 12 October 2023 [Page 8] Internet-Draft hpke-xyber768d00 April 2023 mode: 0 kem_id: 48 kdf_id: 1 aead_id: 1 info: 486561722068656172 ikmE: 35b8cc873c23dc62b8d260169afa2f75ab916a58d974918835d25e6a435085b2 pkEm: 0491416883b53a65d505b58c6a4c86fbe307a781d949d7327192d783c9f5e0 68e1668f965484ead8c398db8a9f769bd73a7f5b7999c8828b9acb8d9035004c8bba 5395cef5a35cecd98053d21240653cf8fb6a9f5868eb785e89b43ffc11ae9b7aa311 00c80b2590392a40f1a309803cab9265a3229874cf8351185777360c35cb928806a9 57f4199a6d6a220ef62a4324ba3b0b1d629b17d037a3fc5c925afb82d7e317f66767 7185b72203cc14d439f8bca986026a223c84e7c3115edb5a53dc5eabb5c694b9186f bb5388d8436e38b112eaa789496151ea819273c03e0c3b35d1c156f6221555390d75 2c0c83c77111238080382bfa673de09feab77ff802983a8722812c4f1ee3ac50d1b9 2cb692c8695749a52ef9e852a5b721d545a4de50b384872e7f21ab84f7208b048e2f faadba718ec5ea206e417683c2ae3ac658ec5b29af278a543496459a46c817a04d64 589a9064d2b1c927e60359c734fc4362453428d19ca85e215a83fbc8fc8c12366034 7e425440c6248865bc40560fcf77382ac6853a826536c754d0299afeca277949863f 5a1292f8a29c70ca7545ac1491bc1ba3c58eb21a43f74e9e6c81d055586a632558c9 bf6365186f296061f32d8866891216b7ac086c22f6866b61070b457910538b6b144e 3b086d5885c347f2120c1889bfa344e468ce6689241fc1a445d5006a3981f9c1c192 d70772177f645aa71fe411a66cce1150b7b7217ae8b2a13c9932a942713750ae4e22 5c168aa502c10c8f0c9ce6899ad83a3798190f092c373a37678df71308b4a7291099 2c44690463cee48b146b51680f06c301731d17282f1f30b88de42be62018299190bb 70c689916f170b9705863fa7b4618d8426a8c5a7f3b74e782acc2abc10fee92e5163 ba129889d32a0f04434fc7e704e195599c779de8a34f768a6b40b1ba227b5456ec49 179b5e21827bfb6137328c72c730ac74aa557e6879b243bfdcb7527cb5c1add881af d8a9c1e0c5edc648682748c90bc4e2538f0681b4dca888061090f2f89909f7c891b0 30f3b4beef5084a025bcb155c5645a126f9cb1fd81ac19f7164f680078e0025cb478 7b949422fa17b7590ee27b4163bc46dc5b399ba4cb4153b151b6a6bf29c7133838a6 fb87f0d24b1dd75f967403a136061793157bfc4b6a85553b3cab43d7bd5fe3a51501 9955b33f4eebbd8c710365069cff238f838a6993320fef8368d9356f020a419c6576 ffc4cc98d521f8193534b30f963925e0490012048b04251432c74287542aeb228249 d2c1df2521cc9a8e34e9c96418368c5c3f097b1ad392bd0cd1856935a482f1abbb84 53f671a9fb4c3d57fa7dbf8919eba6b8a573cc423abbd5a92883f9878055672e04a0 933b9dd489a02609abe4124e604a4f2a20b56d8387448b8ff9648c75624a0ec83572 774caf5b013398512e769257fa74d09b44da280140a06fc97788d68a44d18b90d9a8 9066561318ec11259359d6895a96308773a784cb159dc36b7f81097ab27b5d0b1b51 8af414f5576f48aa84efdc701d0a2fb0b74ec736028b0a82b6b40a2ad08278d017f9 a67fd8acb7dbea12179a066745547f922047332115901a262a764caaa890a371d6d5 048c8b4935034646247b74b913d820b4679354e285cc26305c1ef0b845b848f0bd20 e9cbab84275bde0b23ea4a9faa093b90be366b11a06bec7ca6d70044f7 skEm: 7f886105f814bd804028361f89d7c1d1cb1851366dbe76040ac09bc9bcc4c8 43cb20b3c136f75dbe80a143a29b3730cf25252d1e63622a543bccb1c0962a0b8231 563be0291ca85d0af04027b34503e50c6ee02ba9012475758931cb606633485db8b2 da88a4b552cbf284b62a9bb618a39638cc180a42c5a4d56cbbb7c212fc62605403c7 b1bf54468db79766210749aef6c4cf907f542281e0230979d90d32c30a6cf2cb96fa Westerbaan & Wood Expires 12 October 2023 [Page 9] Internet-Draft hpke-xyber768d00 April 2023 1f3036a56f4572f0b29625c9c3f2755d7eb55c80ba3239c90569a2bdd8648fe44c9e 714c8f779a3664818342d7712945ab78f1cf28292a87586bae32c705d99bad733673 299df946bb5ccaae562a951857625aa22f31750ace3a18c2c271a4396c5140787663 57bc34628cb20125558413401b45e4594c7b1e00cc5d13d04ec1f929dfa6bfd8fa84 02662c02f0b5b6154dcbfb6244648176256a80c9613b102630529dbf04c233ca3c18 42b15be90300861ca0a256a8256f3642606631a7e2858ba501087a8c1e4961856426 c2396c19f0dc375df351fc463f014b3ba76c931f6b4729a3849d55868e61ad624ba2 eb29186057c157ea843826084ce912e959674e53b741d80df8e6a441f4999f1c3614 24b55c9bbe6aa23502268761157237c109c2f709ecf96b9399867c18ab9f0b8afcfc 3f656465feb17134322882c05b8b477cf1862bdca0787c153122fc02db6a15489138 94cc5f14e8937f6c6bbba61149b07aac66ad45540a6cc088772997afac6b72a00c25 658eee5a6e1c794ba4116db6e1955a0807b22b08f4a83a08f625fae11f6fc1273521 b27440aada1c05f038ca2ab21ec8c3164f968c5079a02c9268f1b041343ac89cb2cf 8ef38b65b36ada248551f3592f76c19053b136e93b1ac3168ed76283c67e4483c536 2bb116e9c4ad0aa917a11eee283aee9c283ab413f3a7899cc1b90ca57baf47c00709 16d49b8cc057812e643b9ef08fa716065a0363ba688c3c20c1041c519ba198a3e31d c093c537903e0e22906a72b64ce881be52b06d55ad66ec12ada7c75dfb4e35b8a8ac 9641bc541bfe2b2b24484964e48cbdd0409597bee5b0ab79cb1cb1e752c5682fb72b be28706a9cec72cb7a6e055a45818035d2e50994512f41a1299c1c5b6e984771485c ee492dd8428005816636876d82ba8ede631a3a4c7825f829479c166216ce87245510 c66ea591a651e7771ea8b37e8b763cd63f06709d56e6588d3b6ca4f1c958f141915a 249303109a60afe8d08dc3769fc05732b752381fc1bbbbc28080264c1dcb51c998bd b5a72cac32671023b1c7246e9c312afb685f9d193787b2c963a458adc6b06e8ba5ed 07901f10833fda28b315a35af46e6f30210361ce0976187cda0ab23916411b455310 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9064d2b1c927e60359c734fc4362453428d19ca85e215a83fbc8fc8c123660347e42 5440c6248865bc40560fcf77382ac6853a826536c754d0299afeca277949863f5a12 92f8a29c70ca7545ac1491bc1ba3c58eb21a43f74e9e6c81d055586a632558c9bf63 65186f296061f32d8866891216b7ac086c22f6866b61070b457910538b6b144e3b08 6d5885c347f2120c1889bfa344e468ce6689241fc1a445d5006a3981f9c1c192d707 72177f645aa71fe411a66cce1150b7b7217ae8b2a13c9932a942713750ae4e225c16 8aa502c10c8f0c9ce6899ad83a3798190f092c373a37678df71308b4a72910992c44 690463cee48b146b51680f06c301731d17282f1f30b88de42be62018299190bb70c6 89916f170b9705863fa7b4618d8426a8c5a7f3b74e782acc2abc10fee92e5163ba12 9889d32a0f04434fc7e704e195599c779de8a34f768a6b40b1ba227b5456ec49179b Westerbaan & Wood Expires 12 October 2023 [Page 10] Internet-Draft hpke-xyber768d00 April 2023 5e21827bfb6137328c72c730ac74aa557e6879b243bfdcb7527cb5c1add881afd8a9 c1e0c5edc648682748c90bc4e2538f0681b4dca888061090f2f89909f7c891b030f3 b4beef5084a025bcb155c5645a126f9cb1fd81ac19f7164f680078e0025cb4787b94 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e7c66eb89cb4443a44edc40869b8c2d90c5d484554557c408da7b46752bec1487681 5334b783207f60943d1738b5183d64394e27bb8f1dbb6ed9c58aa338171967bf5a61 Westerbaan & Wood Expires 12 October 2023 [Page 13] Internet-Draft hpke-xyber768d00 April 2023 3e9194c13395573615cee02012438a68aa104afd56a943d05caefc7f20a0104e2cce d2a5191a1a68fe431920e1844a8154fc42a73d70c82f26846ec332fda50c340c1c50 37965daaccd3cacfcab3c85a7516d712890fd6a2b1f5cb7c745cf1798dc0a49ed757 17630c78d56bb8db272a85a009b2685ca9f4840c948226d224de1a0385565e569b89 01c4508ae7b9214b88b6c2ac63807710d85e593a01ba20541cd03fa8364b4cb79f11 0745b30818521a7d0b6015a20483dde33188e94fc4aa224558bd53d384a9f6916964 bbef0b0770b11e7b4117f41639bbe0c9ce119c8f8aab451608c2f06a8cd85f37519b 7e3c1f9f07a6449059a972260cf80c23e52fe1b559e11c723b2618752672bfab6730 5358e7f048960475f1c720d8ba5fe4883981065c462c5062757bddd2666de6726599 0d0053229693a8bfd8811c84494853095c875639dcbcfcc02785910e35643f5bb4b0 aa59af7a86ae94dcc01f952eb1d151c4ba1aa4da02c100b461904229f7b11aac35d3 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6f705268b3838b8974e28c12b4f9bbc8623c936b32a015262d4a33172b7f3a69b6c2 fab5a3c18ffdab2927e77598d1556d51a8559550c251796290b617ac9804167bd9a7 6e9d8bba64059d165acfe2483e9ed0cbc11cb71dd148776aa1cb862ce2b1026e7736 00d101a300671a70710a877a5c1732275c362085b2b8cc66206b3ec37c82ac873d1e c1862a8aa457fc9776960b396c23768c931cdc77731792c569c2088c52ddb5cc0c90 ab9187c1e0ca2c98818859aa86fe44801be483cc1469d636cd3e019267c1cc684640 359ca67c5abd1dc100c4d3c5924acf1b988d3b5019e7b06ef238412b7608dd23115c 6047a59b4b1d7a731126925728c645c140aa4704c1b808b6c401be736bf18bb7d654 342c6576236565c6c5b0727b25ae773c5fb76be794304dc1b672aa5909659b6bb8a1 f430a141882b0f9753662794e625885782154dc148e632b6b2079087958d83c6c82c f55a47eb4ed819a409d94ceb0c74e8d497b95975a0a5c659f5bf0a033d2adca98a69 3304413fff95342319a09fd62f263b91a2c6540d2196dd2ba90dd113042428aeeb15 156c03949660776b80bc1501b0d80a946a623906291ed3668f3c99c1889d3ae3c598 19c38f6b0c46558c2ca520c2107c166452b917cea53bb50c4cb839a99f60e54e9236 c6a419a8de5508f4e3545409499b97939ee940a9d48ed5547003350e391b4c96d657 cb395b5c035370e9c8ece32c83b3cff347ca16bb1e2943669f370f48e70462d4369a 07804bc09fcf399bc2d11b47b0370660916944a179423519a310cc0737407c55ef09 255530c7ec817999c95e20aa23f8f6782aa820d34c89c2299ff0ec9a9021b6f7dbbd 19503fa6f170d8770e12875d558bbb2ca66fd1136e0e5729ef30346109cd289a1ce0 c531a493581ed64533e1749fc818b85ab664255bbfe4a641f6bdf43ac1695c28ab2b 58b3bab5bed5893439455b669b63d65ceff75b8c5857f4ba5cf767cf57aa8e28691c c6dc67fca434e3b1560c6c53ce37c2a2f14764c1cf1e5697cd8757a544b05b766f44 00cef7ecc46ec29a1d679d7fe385c4366579db06d1d840c9911fab8b6b5df2035cb9 Westerbaan & Wood Expires 12 October 2023 [Page 14] Internet-Draft hpke-xyber768d00 April 2023 5410f79b861411b4eb5a4119208f8872674639617452f6b6394c94c6d6f5b833690d d98406b5e7c0827b1a3617a03ba90c3d185a954252f1ba5b157a3f61749548e281fc 543dec205e757932bcc717b99b7df7123500f3bcc660c080093b3fbac56ff51b9c3b 037f76e3f43c0e46b5588cf617f4de85044390a9947daacba87cd5137b60651b30bf 805da1597faef1bc8b2645cda273144c4af1d13eaa2ad9101c7b58b14601aff81754 afc776f8b7f7b9324d420b66706b96ea7f99f8fa11bed3c348342d192f0458ab53d1 9c1dc135d11b48978c878bca6d7d1bc91428259e43aadc9700b76aa9aa66a65db91a 77d72513e40697226557b53400bb6752fb4e11a5ba2fe12644698a48c9948ec121cc 9c9ce7384c65f798012c9df8f5ac0cd371d7d19d9a24c30cb0909c665e43c8932873 5fe95a62653352fad3cfe6330b436a4f72c9ac9323babd912cf5970222eb0dd178c8 10bcc79beba0813039ec4333c33b13d4cc5183b6b14dc09cb9604d46242353a1a1df 82999e4a4929f28f498c330d552ac64156cf123cceebbccf81b2fd86218f2a911204 0943a359d7a858cd641467e54b25f03d66b9a150fbcf3f19bbd1791abec47269b2a7 2f4083a79c2559fbb6d0500208a78baa7392874443c39c38577b4c40db6220ca5c84 b148ffb344164c723df1c0fb37ae52c0854bea023e2a45efaa8869c924ecf3600086 07e7079187978fdac30e8b76a3110349de272b25f5490dc87e3d8caf59a5a51a5723 0ea702dfda0f5d2c0fe94442254834b0f6aa71852601a8c5b7b211f108c1de2b1092 e9b89df4a9feea882aa00ab97235940924e8a81d8f83597f72383f7a1b99c3c84819 53be917fef0b44e32b0aa1f862eedc8d0d94030ae92e73097cde1b34de9b82792933 22e0b5f9564395cb4998810818544ad2025018c40debf0b97bca2f1d861f8d5b51a2 a84f35503cb37112b280ad0a4c99a2eb9c43300ce7c66eb89cb4443a44edc40869b8 c2d90c5d484554557c408da7b46752bec14876815334b783207f60943d1738b5183d 64394e27bb8f1dbb6ed9c58aa338171967bf5a613e9194c13395573615cee0201243 8a68aa104afd56a943d05caefc7f20a0104e2cced2a5191a1a68fe431920e1844a81 54fc42a73d70c82f26846ec332fda50c340c1c5037965daaccd3cacfcab3c85a7516 d712890fd6a2b1f5cb7c745cf1798dc0a49ed75717630c78d56bb8db272a85a009b2 685ca9f4840c948226d224de1a0385565e569b8901c4508ae7b9214b88b6c2ac6380 7710d85e593a01ba20541cd03fa8364b4cb79f110745b30818521a7d0b6015a20483 dde33188e94fc4aa224558bd53d384a9f6916964bbef0b0770b11e7b4117f41639bb e0c9ce119c8f8aab451608c2f06a8cd85f37519b7e3c1f9f07a6449059a972260cf8 0c23e52fe1b559e11c723b2618752672bfab67305358e7f048960475f1c720d8ba5f e4883981065c462c5062757bddd2666de67265990d0053229693a8bfd8811c844948 53095c875639dcbcfcc02785910e35643f5bb4b0aa59af7a86ae94dcc01f952eb1d1 51c4ba1aa4da02c100b461904229f7b11aac35d307ab187255baa32eed32b3b262aa f2db6019089ad4250079280a0efb109ab27a364135ac3067ace5c82dea1fafb04dfe dba9fabc196832878eb7b4314556e8aa8210e2c72959723e23176b703d4db42aabba 62229790f6a743a2ec3c43dc8dbe0b4c36dc2323ec0ef21c116941b43bb12763460e ed032a7a039185e36dcbf69d88f645e6728d3ba79dae0a25ddd4c3a8bba8334aa8fb 6658a9dca99a8cc6362745d6080b0fd8af6af71e9f752d7b763035ec40c0fc983260 81ea4c36cdf992e73a16719b9fb7c06e6c1bb7210747403222b16597f4881d694c12 366c53fde2b3d346b7ee87b16dd42f44ec594cea6ba78b256092cbbc16baaf6ccc46 f2386da22de9d142f593739eb9c245018e0c61975514ac42639d3c5b0299b772acd5 9d55520a5d660f135075e33a673fd5b9e2d56803889fc62b0362f8cbe9990cb36b4c def17586c8cc58d72d84fb9398f1c1efb0a6282508083c23965a9851acb89afc723e 7a6c60bc4007a41ad1950c4590a2f8d2bb3b832f5db1707ad8bad1c4c426aaa7da97 b34a921283415851f19b0f01ca3924754dba6596f9329454b1e3d9b5f357a66c59bf 5fc4a045908b5eb107d3302f0cb9be0af9584846c1475b92d3c16051935dc7411aca a64c80c836b0643fd72b38cb0a33feb11f4813b66f705268b3838b8974e28c12b4f9 Westerbaan & Wood Expires 12 October 2023 [Page 15] Internet-Draft hpke-xyber768d00 April 2023 bbc8623c936b32a015262d4a33172b7f3a69b6c2fab5a3c18ffdab2927e77598d155 6d51a8559550c251796290b617ac9804167bd9a76e9d8bba64059d165acfe2483e9e d0cbc11cb71dd148776aa1cb862ce2b1026e773600d101a300671a70710a877a5c17 32275c362085b2b8cc66206b3ec37c82ac873d1ec1862a8aa457fc9776960b396c23 768c931cdc77731792c569c2088c52ddb5cc0c90ab9187c1e0ca2c98818859aa86fe 44801be483cc1469d636cd3e019267c1cc684640359ca67c5abd1dc100c4d3c5924a cf1b988d3b5019e7b06ef238412b7608dd23115c6047a59b4b1d7a731126925728c6 45c140aa4704c1b808b6c401be736bf18bb7d654342c6576236565c6c5b0727b25ae 773c5fb76be794304dc1b672aa5909659b6bb8a1f430a141882b0f9753662794e625 885782154dc148e632b6b2079087958d83c6c82cf55a47eb4ed819a409d94ceb0c74 e8d497b95975a0a5c659f5bf0a033d2adca98a693304413fff95342319a09fd62f26 3b91a2c6540d2196dd2ba90dd113042428aeeb15156c03949660776b80bc1501b0d8 0a946a623906291ed3668f3c99c1889d3ae3c59819c38f6b0c46558c2ca520c2107c 166452b917cea53bb50c4cb839a99f60e54e9236c6a419a8de5508f4e3545409499b 97939ee940a9d48ed5547003350e391b4c96d657cb395b5c035370e9c8ece32c83b3 cff347ca16bb1e2943669f370f48e70462d4369a07804bc09fcf399bc2d11b47b037 0660916944a179423519a310cc0737407c55ef09255530c7ec817999c95e20aa23f8 f6782aa820d34c89c2299ff0ec9a9021b6f7dbbd19503fa6f170d8770e12875d558b bb2ca66fd1136e0e5729ef30346109cd289a1ce0c531a493581ed64533e1749fc818 b85ab664255bbfe4a641f6bdf43ac1695c28ab2b58b3bab5bed5893439455b669b63 d65ceff75b8c5857f4ba5cf767cf57aa8e28691cc6dc67fca434e3b1560c6c53ce37 c2a2f14764c1cf1e5697cd8757a544b05b766f4400cef7ecc46ec29a1d679d7fe385 c4366579db06d1d840c9911fab8b6b5df2035cb95410f79b861411b4eb5a4119208f 8872674639617452f6b6394c94c6d6f5b833690dd98406b5e7c0827b1a3617a03ba9 0c3d185a954252f1ba5b157a3f61749548e281fc543dec205e757932bcc717b99b7d f7123500f3bcc660c080093b3fbac56ff51b9c3b037f76e3f43c0e46b5588cf617f4 de85044390a9947daacba87cd5137b60651b30bf805da1597faef1bc8b2645cda273 144c4af1d13eaa2ad9101c7b58b14601aff81754afc776f8b7f7b9324d420b66706b 96ea7f99f8fa11bed3 enc: 3b318bb960e01effe285886a645e642e74b9e816de0447a6a1feec8a52ee912 135b7af5ddb14d0431db01f5a9fca6ab0fad2b11edeb5a78eff2617369e0e38c6888 4092e6a4834ee9389eba6e4bb81753173f80f9a0438e92d632ab5ff14e56c8db96ae 97d9c40869208b2f241309cda0288682e226725d5047d9b4afa08c1d60255a2d47a2 ecfbee5e23f03dd7e6999753d4484427cff0518e6c6abaff064729cf8e8810a583e0 fc024fc812e54687c8d3026cff8dbb3f1e8f5ed678f4e39e105522f7e5b0dcd6dcf1 eac77ab7f76a4ee330cca2fa896d64e7fa314e18237ba78fdc3bb0554a3c4857a810 e0dfe8288ad7792d8f559848704d982a61743e77d3d5f23a8227fade4cb6a3d6747e 2f1de9b6478268efd10e8fba9fc14158a7039e44f571fb02f3d58bb5a3ca2c390c3e 43c2c0a8d6f7ec495ff11a9297b9811b93c98af4d952e33b73023cfac698e8de34c1 081e4c99b97f2e6fe85235f2122b06a45b9a958f06346c9db77770991de49dc60f4a 8a415ab06a2cce479776bc19b1b83c3ddcb8d291ab7b7a59710f742d647ca170a19c f3bd0f637512ad6e0c3bf89c6ff0e3c684706b80747715a45f594ca67af25615bfff c0b6ea331cef61204e8fbf7699ae980be7b1fe86125ac3ae09296a533988d1eb2619 30d652b8a0f87d30126844ef5b6374c90557b2e93455d3fdd3e10bc06ee6f5d82b13 95cb3690b03a7f9f009fa779487c2c0383a3eed26accd2c0e5102a62572505111152 1fd11471f73ee575d4613bd1532eea423cca3f9b8f26741878f9fbb04e2836185f95 e2a8781ea28feb7c4fbee88c5247d7c86f9947deaaaaf638b6f3b3fabba16b2d1751 d3a488026b16b66fcd664cc1ec054175141dda64b0a990ae1a1457a41fedd8c6de0c Westerbaan & Wood Expires 12 October 2023 [Page 16] Internet-Draft hpke-xyber768d00 April 2023 69e0fda46caf1f31fd6e747310aec3ead445f34267716ce54e6205e3d63752c56010 9c16094649a23ab61344add598ed76dd6849dcd8a932ff79ebc04d682e7bd3020050 c0c3cc516f3a3f232847b6da2d41674dd11bf8675c71076379066c97ca21b5a35914 920f7935a36006901b84e276cd0e57416d2bdbdd03a213a51d1411c4c6ac4b56ba4e fc3ac8e167bf1e06c59627d56dc02b0f91aa13a6992717d21c1d00f7af24fd86ae72 4040a4cd2ad411a93506ef501ff0343b0e668e7144bc7fb78e4cd82b008b54bcc959 23de3a73ab38b6433343805e134dda4134e8b4b1f619314c906128d2767c9a39897b 2019a9a6125156594bd855317b4b6016cf7726b7bd356419d72edb88aa7db1715f46 b9b4720c14ab695694e82e8d5e2d1331c7d3ec8fb4d7f18efeae5168d45212cb7f62 78771c03ce42b35dfd8b8891b7c7f6317f2f39f1894347e1021da8c8d8c7f0a7f136 fbcf309eb2bf882c7efbf9c9ff405a0b1b0e12c349801931e041abdf2cc35cad6c2b 941bdb6149d03879118fbf168d22d7cfd5cbf7389c04ba1e674f30de05bb0dc2d1c6 8cc39c94c22753b6f3f0190e5da3ff5d714823903726f4ee5839e172445729db6c18 c5977921000ebc611589e754e47a42a105852984257da6a13973bd9981ad6f93f1d5 e shared_secret: 26ab3d8881f99ed01ff31f14efae313ac3d517ff57151ce2ce056 0e4e91c9863f2df0d01b2fb8230b2ce1e50d6801843086fcbfb86376a10e2a4f2e99 bf32f54 key_schedule_context: 009f749a195d1c8b3eaa8d5c3f571dc7231aafbbc0405e 4b484738352667c484867584e32e844cdf74d17b4ee224cc521bbc8bed221f21f34f 8ccc9842772686cb secret: f3efa52f183afb712f81cf043047fb598dcc9baf32ec0f8a8da5d4a1b3dee038 key: c75965d9044755d9276cd09f6d4c7599 base_nonce: 45645a4246ef241a626734f4 exporter_secret: 0803c31f34a29914990db3dce59eaecf24d96bc6bd0d8ee3a9306754d9a8bdde C.1.1.1. Encryptions Westerbaan & Wood Expires 12 October 2023 [Page 17] Internet-Draft hpke-xyber768d00 April 2023 sequence number: 0 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d30 nonce: 45645a4246ef241a626734f4 ct: b220ff5717f4930d6880e0548d13b0866478d030bee18ebb239ac09ee9889e19 13a665fc2bce3c33c270fa62a92350b8087d sequence number: 1 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d31 nonce: 45645a4246ef241a626734f5 ct: 1077bae5d1feb0665f91d7afbee2b63533670da049fe5c5f724e90122e4ae198 14de6766fe951804666670a1ad3092621f1e sequence number: 2 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d32 nonce: 45645a4246ef241a626734f6 ct: c4a52f100a134c36b88c55cd1ddebaa286e0c4a2705481a2d720fe0955a7b036 f1ae3c12be11c38ef65407e69f3f0bd74dc3 sequence number: 4 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d34 nonce: 45645a4246ef241a626734f0 ct: 2aaf6d542422ac074b5329555b976f91acd0b830e555972c3ac9d327de13d4ba 16e143ae5d1cb304a54e0b0849d9470e9271 sequence number: 255 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323535 nonce: 45645a4246ef241a6267340b ct: 9aac24e649de8d11c1288434f91d473dc3b7f688eec08f4e59a4e337cc538608 e3376dde6ef587d1bbf513369e90cba1e9b1 sequence number: 256 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323536 nonce: 45645a4246ef241a626735f4 ct: e5d9d0052f25702335473d42b9dec6de0ae8dcac78d62e05b379e6e71aa7a823 1b63e89879d1a7c953075b5021f88100ce4b Westerbaan & Wood Expires 12 October 2023 [Page 18] Internet-Draft hpke-xyber768d00 April 2023 C.1.1.2. Exported Values exporter_context: L: 32 exported_value: aa80ec309b030fd76025048c785d23c59e8e4bbe790e91a9dc7d6a4fab9fec52 exporter_context: 00 L: 32 exported_value: 8802f71f844c77d4f1ccff0cc1399588f5747f1a665b3899f50799893c5752ad exporter_context: 54657374436f6e74657874 L: 32 exported_value: 06164ab56f6949d8f70717f637b3d9093577db25e7c613340bfaf06a93a25761 C.1.2. PSK Setup Information mode: 1 kem_id: 48 kdf_id: 1 aead_id: 1 info: 486561722068656172 ikmE: 35b8cc873c23dc62b8d260169afa2f75ab916a58d974918835d25e6a435085b2 pkEm: 0491416883b53a65d505b58c6a4c86fbe307a781d949d7327192d783c9f5e0 68e1668f965484ead8c398db8a9f769bd73a7f5b7999c8828b9acb8d9035004c8bba 5395cef5a35cecd98053d21240653cf8fb6a9f5868eb785e89b43ffc11ae9b7aa311 00c80b2590392a40f1a309803cab9265a3229874cf8351185777360c35cb928806a9 57f4199a6d6a220ef62a4324ba3b0b1d629b17d037a3fc5c925afb82d7e317f66767 7185b72203cc14d439f8bca986026a223c84e7c3115edb5a53dc5eabb5c694b9186f bb5388d8436e38b112eaa789496151ea819273c03e0c3b35d1c156f6221555390d75 2c0c83c77111238080382bfa673de09feab77ff802983a8722812c4f1ee3ac50d1b9 2cb692c8695749a52ef9e852a5b721d545a4de50b384872e7f21ab84f7208b048e2f faadba718ec5ea206e417683c2ae3ac658ec5b29af278a543496459a46c817a04d64 589a9064d2b1c927e60359c734fc4362453428d19ca85e215a83fbc8fc8c12366034 7e425440c6248865bc40560fcf77382ac6853a826536c754d0299afeca277949863f 5a1292f8a29c70ca7545ac1491bc1ba3c58eb21a43f74e9e6c81d055586a632558c9 bf6365186f296061f32d8866891216b7ac086c22f6866b61070b457910538b6b144e 3b086d5885c347f2120c1889bfa344e468ce6689241fc1a445d5006a3981f9c1c192 d70772177f645aa71fe411a66cce1150b7b7217ae8b2a13c9932a942713750ae4e22 5c168aa502c10c8f0c9ce6899ad83a3798190f092c373a37678df71308b4a7291099 2c44690463cee48b146b51680f06c301731d17282f1f30b88de42be62018299190bb 70c689916f170b9705863fa7b4618d8426a8c5a7f3b74e782acc2abc10fee92e5163 ba129889d32a0f04434fc7e704e195599c779de8a34f768a6b40b1ba227b5456ec49 179b5e21827bfb6137328c72c730ac74aa557e6879b243bfdcb7527cb5c1add881af d8a9c1e0c5edc648682748c90bc4e2538f0681b4dca888061090f2f89909f7c891b0 Westerbaan & Wood Expires 12 October 2023 [Page 19] Internet-Draft hpke-xyber768d00 April 2023 30f3b4beef5084a025bcb155c5645a126f9cb1fd81ac19f7164f680078e0025cb478 7b949422fa17b7590ee27b4163bc46dc5b399ba4cb4153b151b6a6bf29c7133838a6 fb87f0d24b1dd75f967403a136061793157bfc4b6a85553b3cab43d7bd5fe3a51501 9955b33f4eebbd8c710365069cff238f838a6993320fef8368d9356f020a419c6576 ffc4cc98d521f8193534b30f963925e0490012048b04251432c74287542aeb228249 d2c1df2521cc9a8e34e9c96418368c5c3f097b1ad392bd0cd1856935a482f1abbb84 53f671a9fb4c3d57fa7dbf8919eba6b8a573cc423abbd5a92883f9878055672e04a0 933b9dd489a02609abe4124e604a4f2a20b56d8387448b8ff9648c75624a0ec83572 774caf5b013398512e769257fa74d09b44da280140a06fc97788d68a44d18b90d9a8 9066561318ec11259359d6895a96308773a784cb159dc36b7f81097ab27b5d0b1b51 8af414f5576f48aa84efdc701d0a2fb0b74ec736028b0a82b6b40a2ad08278d017f9 a67fd8acb7dbea12179a066745547f922047332115901a262a764caaa890a371d6d5 048c8b4935034646247b74b913d820b4679354e285cc26305c1ef0b845b848f0bd20 e9cbab84275bde0b23ea4a9faa093b90be366b11a06bec7ca6d70044f7 skEm: 7f886105f814bd804028361f89d7c1d1cb1851366dbe76040ac09bc9bcc4c8 43cb20b3c136f75dbe80a143a29b3730cf25252d1e63622a543bccb1c0962a0b8231 563be0291ca85d0af04027b34503e50c6ee02ba9012475758931cb606633485db8b2 da88a4b552cbf284b62a9bb618a39638cc180a42c5a4d56cbbb7c212fc62605403c7 b1bf54468db79766210749aef6c4cf907f542281e0230979d90d32c30a6cf2cb96fa 1f3036a56f4572f0b29625c9c3f2755d7eb55c80ba3239c90569a2bdd8648fe44c9e 714c8f779a3664818342d7712945ab78f1cf28292a87586bae32c705d99bad733673 299df946bb5ccaae562a951857625aa22f31750ace3a18c2c271a4396c5140787663 57bc34628cb20125558413401b45e4594c7b1e00cc5d13d04ec1f929dfa6bfd8fa84 02662c02f0b5b6154dcbfb6244648176256a80c9613b102630529dbf04c233ca3c18 42b15be90300861ca0a256a8256f3642606631a7e2858ba501087a8c1e4961856426 c2396c19f0dc375df351fc463f014b3ba76c931f6b4729a3849d55868e61ad624ba2 eb29186057c157ea843826084ce912e959674e53b741d80df8e6a441f4999f1c3614 24b55c9bbe6aa23502268761157237c109c2f709ecf96b9399867c18ab9f0b8afcfc 3f656465feb17134322882c05b8b477cf1862bdca0787c153122fc02db6a15489138 94cc5f14e8937f6c6bbba61149b07aac66ad45540a6cc088772997afac6b72a00c25 658eee5a6e1c794ba4116db6e1955a0807b22b08f4a83a08f625fae11f6fc1273521 b27440aada1c05f038ca2ab21ec8c3164f968c5079a02c9268f1b041343ac89cb2cf 8ef38b65b36ada248551f3592f76c19053b136e93b1ac3168ed76283c67e4483c536 2bb116e9c4ad0aa917a11eee283aee9c283ab413f3a7899cc1b90ca57baf47c00709 16d49b8cc057812e643b9ef08fa716065a0363ba688c3c20c1041c519ba198a3e31d c093c537903e0e22906a72b64ce881be52b06d55ad66ec12ada7c75dfb4e35b8a8ac 9641bc541bfe2b2b24484964e48cbdd0409597bee5b0ab79cb1cb1e752c5682fb72b be28706a9cec72cb7a6e055a45818035d2e50994512f41a1299c1c5b6e984771485c ee492dd8428005816636876d82ba8ede631a3a4c7825f829479c166216ce87245510 c66ea591a651e7771ea8b37e8b763cd63f06709d56e6588d3b6ca4f1c958f141915a 249303109a60afe8d08dc3769fc05732b752381fc1bbbbc28080264c1dcb51c998bd b5a72cac32671023b1c7246e9c312afb685f9d193787b2c963a458adc6b06e8ba5ed 07901f10833fda28b315a35af46e6f30210361ce0976187cda0ab23916411b455310 b99884512b5abcd988af4689969e211f3fca0c0a1527cb51c9b3170635841f1d292d 94ea5cd45b5852b3c64085868b7376eabacf4aa002d1c16cd8d840dae1b064e00d66 55bb3fd40ff762ca6caacac7130daa0b00ce02cbae03c564d826b838b0850b673f30 778607a611468787e32c947bbabe25586b2650acbb1f5e5ba75b65b8624b50413146 2564b7af4c6325022468c4517c05bed9b242dc25c047b607dbd48d050387dd0731e1 Westerbaan & Wood Expires 12 October 2023 [Page 20] Internet-Draft hpke-xyber768d00 April 2023 668f965484ead8c398db8a9f769bd73a7f5b7999c8828b9acb8d9035004c8bba5395 cef5a35cecd98053d21240653cf8fb6a9f5868eb785e89b43ffc11ae9b7aa31100c8 0b2590392a40f1a309803cab9265a3229874cf8351185777360c35cb928806a957f4 199a6d6a220ef62a4324ba3b0b1d629b17d037a3fc5c925afb82d7e317f667677185 b72203cc14d439f8bca986026a223c84e7c3115edb5a53dc5eabb5c694b9186fbb53 88d8436e38b112eaa789496151ea819273c03e0c3b35d1c156f6221555390d752c0c 83c77111238080382bfa673de09feab77ff802983a8722812c4f1ee3ac50d1b92cb6 92c8695749a52ef9e852a5b721d545a4de50b384872e7f21ab84f7208b048e2ffaad ba718ec5ea206e417683c2ae3ac658ec5b29af278a543496459a46c817a04d64589a 9064d2b1c927e60359c734fc4362453428d19ca85e215a83fbc8fc8c123660347e42 5440c6248865bc40560fcf77382ac6853a826536c754d0299afeca277949863f5a12 92f8a29c70ca7545ac1491bc1ba3c58eb21a43f74e9e6c81d055586a632558c9bf63 65186f296061f32d8866891216b7ac086c22f6866b61070b457910538b6b144e3b08 6d5885c347f2120c1889bfa344e468ce6689241fc1a445d5006a3981f9c1c192d707 72177f645aa71fe411a66cce1150b7b7217ae8b2a13c9932a942713750ae4e225c16 8aa502c10c8f0c9ce6899ad83a3798190f092c373a37678df71308b4a72910992c44 690463cee48b146b51680f06c301731d17282f1f30b88de42be62018299190bb70c6 89916f170b9705863fa7b4618d8426a8c5a7f3b74e782acc2abc10fee92e5163ba12 9889d32a0f04434fc7e704e195599c779de8a34f768a6b40b1ba227b5456ec49179b 5e21827bfb6137328c72c730ac74aa557e6879b243bfdcb7527cb5c1add881afd8a9 c1e0c5edc648682748c90bc4e2538f0681b4dca888061090f2f89909f7c891b030f3 b4beef5084a025bcb155c5645a126f9cb1fd81ac19f7164f680078e0025cb4787b94 9422fa17b7590ee27b4163bc46dc5b399ba4cb4153b151b6a6bf29c7133838a6fb87 f0d24b1dd75f967403a136061793157bfc4b6a85553b3cab43d7bd5fe3a515019955 b33f4eebbd8c710365069cff238f838a6993320fef8368d9356f020a419c6576ffc4 cc98d521f8193534b30f963925e0490012048b04251432c74287542aeb228249d2c1 df2521cc9a8e34e9c96418368c5c3f097b1ad392bd0cd1856935a482f1abbb8453f6 71a9fb4c3d57fa7dbf8919eba6b8a573cc423abbd5a92883f9878055672e04a0933b 9dd489a02609abe4124e604a4f2a20b56d8387448b8ff9648c75624a0ec83572774c af5b013398512e769257fa74d09b44da280140a06fc97788d68a44d18b90d9a89066 561318ec11259359d6895a96308773a784cb159dc36b7f81097ab27b5d0b1b518af4 14f5576f48aa84efdc701d0a2fb0b74ec736028b0a82b6b40a2ad08278d017f9a67f d8acb7dbea12179a066745547f922047332115901a262a764caaa890a371d6d5048c 8b4935034646247b74b913d820b4679354e285cc26305c1ef0b845b848f0bd20e9cb ab84275bde0b23ea4a9faa093b90be366b11a06bec7ca6d70044f7cd10bbc2f74aeb 220b0927327be7536c8a9fd84a18715c322d5840de593daa5df30819a7037f1f91d5 bedaa376af6b5806ff3dcd95b9013333eabf362df9a15e7f886105f814bd80402836 1f89d7c1d1cb1851366dbe76040ac09bc9bcc4c843cb20b3c136f75dbe80a143a29b 3730cf25252d1e63622a543bccb1c0962a0b8231563be0291ca85d0af04027b34503 e50c6ee02ba9012475758931cb606633485db8b2da88a4b552cbf284b62a9bb618a3 9638cc180a42c5a4d56cbbb7c212fc62605403c7b1bf54468db79766210749aef6c4 cf907f542281e0230979d90d32c30a6cf2cb96fa1f3036a56f4572f0b29625c9c3f2 755d7eb55c80ba3239c90569a2bdd8648fe44c9e714c8f779a3664818342d7712945 ab78f1cf28292a87586bae32c705d99bad733673299df946bb5ccaae562a95185762 5aa22f31750ace3a18c2c271a4396c514078766357bc34628cb20125558413401b45 e4594c7b1e00cc5d13d04ec1f929dfa6bfd8fa8402662c02f0b5b6154dcbfb624464 8176256a80c9613b102630529dbf04c233ca3c1842b15be90300861ca0a256a8256f 3642606631a7e2858ba501087a8c1e4961856426c2396c19f0dc375df351fc463f01 Westerbaan & Wood Expires 12 October 2023 [Page 21] Internet-Draft hpke-xyber768d00 April 2023 4b3ba76c931f6b4729a3849d55868e61ad624ba2eb29186057c157ea843826084ce9 12e959674e53b741d80df8e6a441f4999f1c361424b55c9bbe6aa235022687611572 37c109c2f709ecf96b9399867c18ab9f0b8afcfc3f656465feb17134322882c05b8b 477cf1862bdca0787c153122fc02db6a1548913894cc5f14e8937f6c6bbba61149b0 7aac66ad45540a6cc088772997afac6b72a00c25658eee5a6e1c794ba4116db6e195 5a0807b22b08f4a83a08f625fae11f6fc1273521b27440aada1c05f038ca2ab21ec8 c3164f968c5079a02c9268f1b041343ac89cb2cf8ef38b65b36ada248551f3592f76 c19053b136e93b1ac3168ed76283c67e4483c5362bb116e9c4ad0aa917a11eee283a ee9c283ab413f3a7899cc1b90ca57baf47c0070916d49b8cc057812e643b9ef08fa7 16065a0363ba688c3c20c1041c519ba198a3e31dc093c537903e0e22906a72b64ce8 81be52b06d55ad66ec12ada7c75dfb4e35b8a8ac9641bc541bfe2b2b24484964e48c bdd0409597bee5b0ab79cb1cb1e752c5682fb72bbe28706a9cec72cb7a6e055a4581 8035d2e50994512f41a1299c1c5b6e984771485cee492dd8428005816636876d82ba 8ede631a3a4c7825f829479c166216ce87245510c66ea591a651e7771ea8b37e8b76 3cd63f06709d56e6588d3b6ca4f1c958f141915a249303109a60afe8d08dc3769fc0 5732b752381fc1bbbbc28080264c1dcb51c998bdb5a72cac32671023b1c7246e9c31 2afb685f9d193787b2c963a458adc6b06e8ba5ed07901f10833fda28b315a35af46e 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5b399ba4cb4153b151b6a6bf29c7133838a6fb87f0d24b1dd75f967403a136061793 157bfc4b6a85553b3cab43d7bd5fe3a515019955b33f4eebbd8c710365069cff238f 838a6993320fef8368d9356f020a419c6576ffc4cc98d521f8193534b30f963925e0 Westerbaan & Wood Expires 12 October 2023 [Page 22] Internet-Draft hpke-xyber768d00 April 2023 490012048b04251432c74287542aeb228249d2c1df2521cc9a8e34e9c96418368c5c 3f097b1ad392bd0cd1856935a482f1abbb8453f671a9fb4c3d57fa7dbf8919eba6b8 a573cc423abbd5a92883f9878055672e04a0933b9dd489a02609abe4124e604a4f2a 20b56d8387448b8ff9648c75624a0ec83572774caf5b013398512e769257fa74d09b 44da280140a06fc97788d68a44d18b90d9a89066561318ec11259359d6895a963087 73a784cb159dc36b7f81097ab27b5d0b1b518af414f5576f48aa84efdc701d0a2fb0 b74ec736028b0a82b6b40a2ad08278d017f9a67fd8acb7dbea12179a066745547f92 2047332115901a262a764caaa890a371d6d5048c8b4935034646247b74b913d820b4 679354e285cc26305c1ef0b845b848f0bd20e9cbab84275bde0b23ea4a9faa093b90 be366b11a06bec7ca6d70044f7cd10bbc2f74aeb220b0927327be7536c8a9fd84a18 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00d101a300671a70710a877a5c1732275c362085b2b8cc66206b3ec37c82ac873d1e Westerbaan & Wood Expires 12 October 2023 [Page 24] Internet-Draft hpke-xyber768d00 April 2023 c1862a8aa457fc9776960b396c23768c931cdc77731792c569c2088c52ddb5cc0c90 ab9187c1e0ca2c98818859aa86fe44801be483cc1469d636cd3e019267c1cc684640 359ca67c5abd1dc100c4d3c5924acf1b988d3b5019e7b06ef238412b7608dd23115c 6047a59b4b1d7a731126925728c645c140aa4704c1b808b6c401be736bf18bb7d654 342c6576236565c6c5b0727b25ae773c5fb76be794304dc1b672aa5909659b6bb8a1 f430a141882b0f9753662794e625885782154dc148e632b6b2079087958d83c6c82c f55a47eb4ed819a409d94ceb0c74e8d497b95975a0a5c659f5bf0a033d2adca98a69 3304413fff95342319a09fd62f263b91a2c6540d2196dd2ba90dd113042428aeeb15 156c03949660776b80bc1501b0d80a946a623906291ed3668f3c99c1889d3ae3c598 19c38f6b0c46558c2ca520c2107c166452b917cea53bb50c4cb839a99f60e54e9236 c6a419a8de5508f4e3545409499b97939ee940a9d48ed5547003350e391b4c96d657 cb395b5c035370e9c8ece32c83b3cff347ca16bb1e2943669f370f48e70462d4369a 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c2d90c5d484554557c408da7b46752bec14876815334b783207f60943d1738b5183d 64394e27bb8f1dbb6ed9c58aa338171967bf5a613e9194c13395573615cee0201243 8a68aa104afd56a943d05caefc7f20a0104e2cced2a5191a1a68fe431920e1844a81 54fc42a73d70c82f26846ec332fda50c340c1c5037965daaccd3cacfcab3c85a7516 d712890fd6a2b1f5cb7c745cf1798dc0a49ed75717630c78d56bb8db272a85a009b2 685ca9f4840c948226d224de1a0385565e569b8901c4508ae7b9214b88b6c2ac6380 7710d85e593a01ba20541cd03fa8364b4cb79f110745b30818521a7d0b6015a20483 dde33188e94fc4aa224558bd53d384a9f6916964bbef0b0770b11e7b4117f41639bb Westerbaan & Wood Expires 12 October 2023 [Page 25] Internet-Draft hpke-xyber768d00 April 2023 e0c9ce119c8f8aab451608c2f06a8cd85f37519b7e3c1f9f07a6449059a972260cf8 0c23e52fe1b559e11c723b2618752672bfab67305358e7f048960475f1c720d8ba5f e4883981065c462c5062757bddd2666de67265990d0053229693a8bfd8811c844948 53095c875639dcbcfcc02785910e35643f5bb4b0aa59af7a86ae94dcc01f952eb1d1 51c4ba1aa4da02c100b461904229f7b11aac35d307ab187255baa32eed32b3b262aa 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bbc8623c936b32a015262d4a33172b7f3a69b6c2fab5a3c18ffdab2927e77598d155 6d51a8559550c251796290b617ac9804167bd9a76e9d8bba64059d165acfe2483e9e d0cbc11cb71dd148776aa1cb862ce2b1026e773600d101a300671a70710a877a5c17 32275c362085b2b8cc66206b3ec37c82ac873d1ec1862a8aa457fc9776960b396c23 768c931cdc77731792c569c2088c52ddb5cc0c90ab9187c1e0ca2c98818859aa86fe 44801be483cc1469d636cd3e019267c1cc684640359ca67c5abd1dc100c4d3c5924a cf1b988d3b5019e7b06ef238412b7608dd23115c6047a59b4b1d7a731126925728c6 45c140aa4704c1b808b6c401be736bf18bb7d654342c6576236565c6c5b0727b25ae 773c5fb76be794304dc1b672aa5909659b6bb8a1f430a141882b0f9753662794e625 885782154dc148e632b6b2079087958d83c6c82cf55a47eb4ed819a409d94ceb0c74 e8d497b95975a0a5c659f5bf0a033d2adca98a693304413fff95342319a09fd62f26 3b91a2c6540d2196dd2ba90dd113042428aeeb15156c03949660776b80bc1501b0d8 0a946a623906291ed3668f3c99c1889d3ae3c59819c38f6b0c46558c2ca520c2107c 166452b917cea53bb50c4cb839a99f60e54e9236c6a419a8de5508f4e3545409499b 97939ee940a9d48ed5547003350e391b4c96d657cb395b5c035370e9c8ece32c83b3 cff347ca16bb1e2943669f370f48e70462d4369a07804bc09fcf399bc2d11b47b037 0660916944a179423519a310cc0737407c55ef09255530c7ec817999c95e20aa23f8 f6782aa820d34c89c2299ff0ec9a9021b6f7dbbd19503fa6f170d8770e12875d558b bb2ca66fd1136e0e5729ef30346109cd289a1ce0c531a493581ed64533e1749fc818 b85ab664255bbfe4a641f6bdf43ac1695c28ab2b58b3bab5bed5893439455b669b63 d65ceff75b8c5857f4ba5cf767cf57aa8e28691cc6dc67fca434e3b1560c6c53ce37 c2a2f14764c1cf1e5697cd8757a544b05b766f4400cef7ecc46ec29a1d679d7fe385 c4366579db06d1d840c9911fab8b6b5df2035cb95410f79b861411b4eb5a4119208f 8872674639617452f6b6394c94c6d6f5b833690dd98406b5e7c0827b1a3617a03ba9 0c3d185a954252f1ba5b157a3f61749548e281fc543dec205e757932bcc717b99b7d f7123500f3bcc660c080093b3fbac56ff51b9c3b037f76e3f43c0e46b5588cf617f4 de85044390a9947daacba87cd5137b60651b30bf805da1597faef1bc8b2645cda273 144c4af1d13eaa2ad9101c7b58b14601aff81754afc776f8b7f7b9324d420b66706b 96ea7f99f8fa11bed3 Westerbaan & Wood Expires 12 October 2023 [Page 26] Internet-Draft hpke-xyber768d00 April 2023 psk: 7f9c2ba4e88f827d616045507605853ed73b8093f6efbc88eb1a6eacfa66ef26 psk_id: 6265666f7265206576657279626f647920666f72206576657279626f6479 20666f722065766572797468696e67 enc: 133d1a52235bbebafd648b19f6379c8914874c6150f4c49a030966474411f87 9002051d1c05a4989f59ee9bbf446198cc987d892c5970c0e17881dacec23caafcbb ba2fe82f9f51f6f01cac2b23e8eaea9ee2067964c7c259f4caa366a729fd2d7cc95e 3f7387a9e2a8ba6910ed195d3d1505faa11c2c9b7db84dc29369e0ccb517147930f3 3029a30875227c077b2adfa907bb925222bdf0abff602052645c7a2c75db9e72b887 fc784000e1e5f33eb1a6207e8fbd544bc09d02598f8adea10853404ecf73a0d13c36 6994cbaa6d2ed6063ea15991c7a550c5434170b86d52a09e4764f1ffc74473fcad87 69ec5d898d086eca56d296b6b9a9cf92242043ac4c06ef8531e0401acdae8a8c1e69 f57c0275f372782f1935a6c35d6b8a62662ed3a56ca802d0991a5df5d9d3d8a53cf1 5d5e3e53c4a1b0df02b44ad451b5dca9eccd7ced5ae19bebcd4d6bfe3d894e2e8ad7 9ab74b511e2f68b01493d5ccebf0888bae62df36766c39fed5650bc503fb2a1542b8 aaac729526d5947f596f90343b825ab46e0486574a2e6480035d16f3e5fc79e82005 35d99454a4140ea0a99435bdb9e70b222fd64b9f6d9f61ff56ffbeac3e114538de15 20e438a84c2159472dc2a9b0782aa29576228218e56eea7c2b86cb9cd7049b9e7bfc a0cc239b48009f46730e7ecbb9c21dc19a18076a33f6de6d3d209c6dbd77bacb92eb 02ae3c176316d18a2853f3a435ee752e8ed1153c8f545dd0b1164e2dbf3177a78d9d 869089bf7493e87643acef1b745913ddf8824448e27853eb9c69e059633491c03d17 97b7ab059099d08aa0076970c88fd0514020fb4ba2a84e43d695eedf56a03e970eed 635a5a32673db90f272e1e6e793626ec1bd5f19d88222ff5e9757d1fd181f94ab72b 27ef0c2e7698169ed7935552262364ca0879311eea3af7afada323f3eb3059d27f33 4e67316abe3f7287c1449cbde0a7404066caa6ebb2799d3efd97f2dd731fa8b88136 0f2d179476dde575bc4024e927f677d50ebc7c0a635ea8da9b59765e4941b12a1f21 b33c467cbe335e149781cb18c6dff5271ea9b93c811aedcbacf7e28b9c0f82694cfd bd1d76f12c8fb3604e3a92313e4655c59659878bedd149906ecd87dee110667f0f3d 81e916f150765e0d350ca03544b7b288c25f52e5452a7b3fac501c01b605820e8d87 f5125602e40225f8e3f9c9fc08c2c0b85e9e36257abe1a4cfa9d799d4df8c6de83d2 009e774ef188e4d206247d4e62e2bab2e8c44883015f5f1dc70e30bb8110dcdf6f10 292b708fe05b8435fd3deb8141f186939bb564352a3a1b131542e13782630cabd0d0 550ee01d6b67fe48c5835235906ea23b506bc3870514a32d73440c41e9169fd59d12 ede12f2995582309b6d52ce7be213608542824b500e8315c2e91f3709e061cf29494 6366ad343181c1b5f5ac0c9c3b250a4699a241b72a9ebb8547e358fa7104d04f1614 df7f9591685b3d323368d1fde5a849f85545efd6abae468b99e2dd4a0046289fb974 9dacf6dd404e575b17ef5f60583a649783e02eea7613d86c60c17e7685955a7afb4c 8 shared_secret: 3bf33b5b68b06f4be5722906efbb923ff43cf60fd711e27d2bf54 accd9cf17f1b567f9d01df089dfe25e032e31e3254e19b69b016357f9cbdd503bcdb 0d98178 key_schedule_context: 011c0e82b54d88402f8c14c546eb2c5d2ddf5c0ad00953 b8c7917e143a660122927584e32e844cdf74d17b4ee224cc521bbc8bed221f21f34f 8ccc9842772686cb secret: 30aec63132bb87e4c9963bf0dad9e5a1e4fc0f0c9552cb2685698d661b86e3cc key: 8fe10a8a79dead7d4d595f20b6e8ccd6 base_nonce: 12d25f985b62f1fa39c6e8e1 Westerbaan & Wood Expires 12 October 2023 [Page 27] Internet-Draft hpke-xyber768d00 April 2023 exporter_secret: 6d1a63ac2579209ebfd97ea18e74dfb2388d0dcdda6233afda202ba89d8d9170 C.1.2.1. Encryptions Westerbaan & Wood Expires 12 October 2023 [Page 28] Internet-Draft hpke-xyber768d00 April 2023 sequence number: 0 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d30 nonce: 12d25f985b62f1fa39c6e8e1 ct: 97f902c0c6ef6fe8053e3aad3559eb2b6c76a9947371681907b62fb0626ecbf2 8320ddffe076814db6216ae76655b83a1a14 sequence number: 1 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d31 nonce: 12d25f985b62f1fa39c6e8e0 ct: 9c38f61cfda2348adb2088480c44991ede3b830f91d9bc02632e60aac567d820 e1f269d141c465495aa1b71cf2fbb7193457 sequence number: 2 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d32 nonce: 12d25f985b62f1fa39c6e8e3 ct: a8d73ff26295bce92db8ff4df3506b73e95875fb1f065340bd3795516cd765cb aa7210351e6500a9f01d18998cd2edd3b2dd sequence number: 4 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d34 nonce: 12d25f985b62f1fa39c6e8e5 ct: e6976d68ef14b7d059387d4a5bff7be4f1c4ad77ee7736a733a5f54a26420afa 17f0819f8a497a2261846629c81c67883a24 sequence number: 255 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323535 nonce: 12d25f985b62f1fa39c6e81e ct: 2b8cc3f055454b0393a9bd0ceaff0457fd1775a9fc68e3b7a522d1c76c00ac67 3fd50eeb3c74846218bcb5cf2565f2cfc9a4 sequence number: 256 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323536 nonce: 12d25f985b62f1fa39c6e9e1 ct: 00b2e16603a9f819e672d7322f9ac822176a9c46608cea5433825a7fac47d16d f4b9fddc4097916224a090bee43cc2887ba2 Westerbaan & Wood Expires 12 October 2023 [Page 29] Internet-Draft hpke-xyber768d00 April 2023 C.1.2.2. Exported Values exporter_context: L: 32 exported_value: e7233e50071b83771866a677e5eabfb94df526eeeb4fe9784ca4686ebc29598f exporter_context: 00 L: 32 exported_value: accb634b03b17d3d1c8c4c7d1991ecb1e613a84292d9fc22ff2ca4d4d0dd36aa exporter_context: 54657374436f6e74657874 L: 32 exported_value: 1f6ddd10fb469ecce2be15dc653141f91137f342a0479f4261c330e1f4f8a8dd Authors' Addresses Bas Westerbaan Cloudflare Email: bas@cloudflare.com Christopher A. Wood Cloudflare Email: caw@heapingbits.net Westerbaan & Wood Expires 12 October 2023 [Page 30]