Appendix C. Examples
Cette section conserve le texte RFC pour ML-KEM dans PKIX, y compris algorithm identifiers, SubjectPublicKeyInfo, private key formats, ASN.1 objects, security considerations et examples.
Appendix C. Examples
This appendix contains examples of ML-KEM public keys, private keys,
certificates, and inconsistent seed and expanded private keys.
C.1. Example Private Keys
The following examples show ML-KEM private keys in different formats,
all derived from the same seed 000102...1e1f. For each security
level, we show the seed-only format (using a context-specific [0]
primitive tag with an implicit encoding of OCTET STRING), the
expanded format, and both formats together.
| NOTE: All examples use the same seed value, showing how the
| same seed produces different expanded private keys for each
| security level.
C.1.1. ML-KEM-512 Private Key Examples
Each of the examples includes the textual encoding [RFC7468] followed
by the so-called "pretty print"; the private keys are the same.
C.1.1.1. Seed Format
-----BEGIN PRIVATE KEY-----
MFQCAQAwCwYJYIZIAWUDBAQBBEKAQAABAgMEBQYHCAkKCwwNDg8QERITFBUWFxgZ
GhscHR4fICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9Pj8=
-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
OCTET_STRING {
[0 PRIMITIVE] { `000102030405060708090a0b0c0d0e0f10111213141
5161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f30313233343
5363738393a3b3c3d3e3f` }
}
}
C.1.1.2. Expanded Format
-----BEGIN PRIVATE KEY-----
MIIGeAIBADALBglghkgBZQMEBAEEggZkBIIGYHBVT9Q2NE8nhbGzsbrBhLZnkAMz
bCbxWn3oeMSCXGvgPzxKSA91t0hqrTHToAUYYj/SB6tSjdYnIUlYNa4AYsNnt0px
uvEKrQ6KKQIHa+MTSL6xXMwJV83rtK/yJnVrvGAbZWireErLrrNHAvD4aiYgIRiy
KyP4NVh3bHnBTbqYM3nIA+DcwxYKEXVwMOacaRl5jYHraYqaRIOpnlpcssMcmmYX
mfPMiceQcG6gQWKQRdQqg67YiGDjlMaRh+IQXSjMFOw5NZLWfdAKpD/otOrkQUAC
hmtccTxqjX0Wz3i4GdbxLp5adCM5CPCxXjxLqDKcXN2lXISSjjqoBj5aqWdkA/kX
NbEQEMf1kwkTZNyGRFvIBIQKmiFyQhJGn4p7DOCsaY64bK05p/SCTZpRY6rCHuaA
iwU8ij+ssLZ0S1Jiu8smpD9mTIcytkz8es8JlgX0HHlgYJdqxDODP+ADQ/sYKDAK
QkdBEW5LRbsnbqgRKaDbTG5gvOYREB6MYlR0kl4CImeTCKPncI0Zcqe0I+sjKFHD
bS7VPT7Tu3UAY3BhpdwikvocRmwHNUaDMovsLB7Sy1yZt47KCWkDjPfDTdEYck4x
yuCGIGs0MCtSD10Xet7Vs8zgKszoCOomvMByYl/bk/F0WKX8HU2jlDgKH1fpzGYQ
lDigdfDSgT/MShmcx22zgj8nCwBhWUGSlAQRo3/7r64sFQFlzsXGv3PFlfuSzRUx
JgfaBwd4ZSvZlEvEi8fRpTQzi60LrWZWxdUCznhQqxWHJE7rWPQ5q14IV0pxjIqs
PXfHmLuhVCczvnNEjyP7cMDlNTonyIMixSGEk6+7OAhkNNbWCla6iH3UmMOrJqCH
CZOBWqakCXXyGK3KFYLWT/yGUvuzqab7wwT5GUX6Sq7yh4/XFd9wET0jefRIhvgS
yD/ytxmmnh7HSuSxWszTrtWlPOdqewmCRxYzuXPLQKGgAV0KQk+hGkecAjAXQ20q
KQDpk+taCgZ0AMf0qt8gH8T6MSZKY7rpXMjWXDmVgV5ZfRBDVc8pqlMzyTJRhp1b
zb5IcST2Ari2pmwWxHYWSK12XPXYAGtRXpBafwrAdrDGLvoygVPnylcBaZ8TBfHm
vG+QsOSbaTUSts6ZKouAFt38GmYsfj+WGcvYad13GvMIlszVkYrGy3dGbF53mZbW
f/mqvJdQPyx7fi0ADYZFD7GAfKTKvaRlgloxx4mht6SRqzhydl0yDQtxkg+iE8lA
k0Frg7gSTmn2XmLLUADcw3qpoP/3OXDEdy81fSQYnKb1MFVowOI3ajdipoxgXlY8
XSCVcuD8dTLKKUcpU1VntfxBPF6HktJGRTbMgI+YrddGZPFBVm+QFqkKVBgpqYoE
ZM5BqLtEwtT6PCwglGByjvFKGnxMm5jRIgO0zDUpFgqasteDj3/2tTrgWqMafWRr
evpsRZMlJqPDdVYZvplMIRwqMcBbNEeDbLIVC+GCna5rBMVTXP9Ubjkrp5dBFyD5
JPSQpaxUlfITVtVQt4KmTBaItrZVvMeEIZekNML2Vjtbfwmni8xIgjJ4NWHRb0y6
tnVUAAUHgVcMZmBLgXrRJSKUc26LAYYaS1p0UZuLb+UUiaUHI5Llh2JscTd2V10z
gGocjicyr5fCaA9RZmMxxOuLvAQxxPloMtrxs8RVKPuhU/bHixwZhwKUfM0zdyek
b7U7oR3ly0GRNGhZUWy2rXJADzzyCbI2rvNaWArIfrPjD6/WaXPKin3SZ1r0H3oX
thQzzRr4D3cIhp9mVIhJeYCxrBCgzctjagDthoGzXkKRJMqANQcluF+DperDpKPM
FgCQPmUpNWC5szblrw1SnawaBIEZMCy3qbzBELlIUb8CEX8ZncSFqFK3Rz8JuDGm
gx1bVMC3kNIlz2u5LZRiomzbM92lEjx6rw4moLg2Ve6ii/OoB0clAY/WuuS2Ac9h
uqtxp6PTUZejQ+dLSicsEl1UCJZCbYW3lY07OKa6mH7DciXHtEzbEt3kU5tKsII2
NoPwS/egnMXEHf6DChsWLgsyQzQ2LwhKFEZ3IzRLrdAA+NjFN8SPmY8FMHzr0e3g
uBw7xZoGWhttY7JsgvEB/2SAY7N24rtsW3RV9lWlDC/q2t4VDvoODm82WuogISIj
JCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+Pw==
-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
OCTET_STRING {
OCTET_STRING { `70554fd436344f2785b1b3b1bac184b6679003336c26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` }
}
}
C.1.1.3. Both Format
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
OCTET_STRING {
SEQUENCE {
OCTET_STRING { `000102030405060708090a0b0c0d0e0f1011121314
15161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
OCTET_STRING { `70554fd436344f2785b1b3b1bac184b6679003336c
26f15a7de878c4825c6be03f3c4a480f75b7486aad31d3a00518623fd207ab52
8dd62721495835ae0062c367b74a71baf10aad0e8a2902076be31348beb15ccc
0957cdebb4aff226756bbc601b6568ab784acbaeb34702f0f86a26202118b22b
23f83558776c79c14dba983379c803e0dcc3160a11757030e69c6919798d81eb
698a9a4483a99e5a5cb2c31c9a661799f3cc89c790706ea041629045d42a83ae
d88860e394c69187e2105d28cc14ec393592d67dd00aa43fe8b4eae441400286
6b5c713c6a8d7d16cf78b819d6f12e9e5a74233908f0b15e3c4ba8329c5cdda5
5c84928e3aa8063e5aa9676403f91735b11010c7f593091364dc86445bc80484
0a9a21724212469f8a7b0ce0ac698eb86cad39a7f4824d9a5163aac21ee6808b
053c8a3facb0b6744b5262bbcb26a43f664c8732b64cfc7acf099605f41c7960
60976ac433833fe00343fb1828300a424741116e4b45bb276ea81129a0db4c6e
60bce611101e8c625474925e0222679308a3e7708d1972a7b423eb232851c36d
2ed53d3ed3bb7500637061a5dc2292fa1c466c07354683328bec2c1ed2cb5c99
b78eca0969038cf7c34dd118724e31cae086206b34302b520f5d177aded5b3cc
e02acce808ea26bcc072625fdb93f17458a5fc1d4da394380a1f57e9cc661094
38a075f0d2813fcc4a199cc76db3823f270b0061594192940411a37ffbafae2c
150165cec5c6bf73c595fb92cd15312607da070778652bd9944bc48bc7d1a534
338bad0bad6656c5d502ce7850ab1587244eeb58f439ab5e08574a718c8aac3d
77c798bba1542733be73448f23fb70c0e5353a27c88322c5218493afbb380864
34d6d60a56ba887dd498c3ab26a0870993815aa6a40975f218adca1582d64ffc
8652fbb3a9a6fbc304f91945fa4aaef2878fd715df70113d2379f44886f812c8
3ff2b719a69e1ec74ae4b15accd3aed5a53ce76a7b0982471633b973cb40a1a0
015d0a424fa11a479c023017436d2a2900e993eb5a0a067400c7f4aadf201fc4
fa31264a63bae95cc8d65c3995815e597d104355cf29aa5333c93251869d5bcd
be487124f602b8b6a66c16c4761648ad765cf5d8006b515e905a7f0ac076b0c6
2efa328153e7ca5701699f1305f1e6bc6f90b0e49b693512b6ce992a8b8016dd
fc1a662c7e3f9619cbd869dd771af30896ccd5918ac6cb77466c5e779996d67f
f9aabc97503f2c7b7e2d000d86450fb1807ca4cabda465825a31c789a1b7a491
ab3872765d320d0b71920fa213c94093416b83b8124e69f65e62cb5000dcc37a
a9a0fff73970c4772f357d24189ca6f5305568c0e2376a3762a68c605e563c5d
209572e0fc7532ca294729535567b5fc413c5e8792d2464536cc808f98add746
64f141566f9016a90a541829a98a0464ce41a8bb44c2d4fa3c2c209460728ef1
4a1a7c4c9b98d12203b4cc3529160a9ab2d7838f7ff6b53ae05aa31a7d646b7a
fa6c45932526a3c3755619be994c211c2a31c05b3447836cb2150be1829dae6b
04c5535cff546e392ba797411720f924f490a5ac5495f21356d550b782a64c16
88b6b655bcc7842197a434c2f6563b5b7f09a78bcc488232783561d16f4cbab6
755400050781570c66604b817ad1252294736e8b01861a4b5a74519b8b6fe514
89a5072392e587626c713776575d33806a1c8e2732af97c2680f51666331c4eb
8bbc0431c4f96832daf1b3c45528fba153f6c78b1c198702947ccd337727a46f
b53ba11de5cb4191346859516cb6ad72400f3cf209b236aef35a580ac87eb3e3
0fafd66973ca8a7dd2675af41f7a17b61433cd1af80f7708869f665488497980
b1ac10a0cdcb636a00ed8681b35e429124ca80350725b85f83a5eac3a4a3cc16
00903e65293560b9b336e5af0d529dac1a048119302cb7a9bcc110b94851bf02
117f199dc485a852b7473f09b831a6831d5b54c0b790d225cf6bb92d9462a26c
db33dda5123c7aaf0e26a0b83655eea28bf3a8074725018fd6bae4b601cf61ba
ab71a7a3d35197a343e74b4a272c125d540896426d85b7958d3b38a6ba987ec3
7225c7b44cdb12dde4539b4ab082363683f04bf7a09cc5c41dfe830a1b162e0b
324334362f084a14467723344badd000f8d8c537c48f998f05307cebd1ede0b8
1c3bc59a065a1b6d63b26c82f101ff648063b376e2bb6c5b7455f655a50c2fea
dade150efa0e0e6f365aea202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
}
}
}
C.1.2. ML-KEM-768 Private Key Examples
Each of the examples includes the textual encoding [RFC7468] followed
by the so-called "pretty print"; the private keys are the same.
C.1.2.1. Seed Format
-----BEGIN PRIVATE KEY-----
MFQCAQAwCwYJYIZIAWUDBAQCBEKAQAABAgMEBQYHCAkKCwwNDg8QERITFBUWFxgZ
GhscHR4fICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9Pj8=
-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
OCTET_STRING {
[0 PRIMITIVE] { `000102030405060708090a0b0c0d0e0f10111213141
5161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f30313233343
5363738393a3b3c3d3e3f` }
}
}
C.1.2.2. Expanded Format
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
OCTET_STRING {
OCTET_STRING { `27d2a77f33756f61208ef113abe82595873d4abc730e
5b5d679529bf6a4ceb6383427231a8612f41550515acba52e48ead8b942833bb
e6865d13d14a79d2c5c3e07f0a056d8de7aadfcaba058c493c80b37cab8c5627
53bb3ba6b6ec8297f885eaa7540d530015a84406e55b1366b577e236ce58a26d
8a1eb5a44d542323c2167d9bf4a47f985699ca05bae43b8dec617f02380a3890
afd4b8c7ec7ede26553a025f3ce5bc5d7a62130304235cb1ad4836b566b5b863
bd9bdb45a2844a7047b6c8d383e448525e040b4dc8a2b48c6c37c96d62d43f3f
d88e2881c40a205c9e248f652b592781a779f86880f2a147b67863f391cc1a5a
908c0095e07212291e2ef8a36eb9a9c0c6073225b34703a4af049382c47573da
68fde9245ad444e31b1fbdb521f1f61f37bc0cef292067e670d28a1ffd904f6f
1190a996918a13037a6cabf3c373bf8296cd37ab33ba7746809cc3f8ade1b363
9bd57bfcc69650aaaf1de198fc4c0463299e52c461780cc428fc5d04a5c51850
cba6c2a5274340675793dda09be44c29e6395c65f85d2a0a7c6df411e6911b1f
2cb6c351cd2e875f51b638be776097e93e2f2b2f83da0beef4aa85ba9e763ab6
4502a0ca5222e9eab5b3b7088ed52060e8c8269b943a71ab0ae1c5b1b687d2e0
19cf8036bcf9bf6e7bac3aaa36e41660faa4540f2648cd93a189ec5c2dea70ba
caaa4ffc906f90810ea1b67bf24f2c78cf6ba881aaea61c0652bff95b1bae442
6d1773b9cc2ca82c21e38c636e3b1c523244986b0be8a83f5dd5cf2d54762fb3
c5ebf59b8e885302b1ce47033edf760f4e029be40b6d566b19dd758acd5c7412
878131244f90172c53f26663c21d905301d48baf91c917cc7779e9d8802cc10d
89a3705099a2ad3a3a8896743c1144698093be257dacb66dc785228b912c8d96
5d14aa28342c3ac4a93fefa532b20945ddc1020139c14d638b908c4ddde9a064
5b95b2e4414d40bb79f04413830f15a873c28bb7059c2741002015f20408f058
e715b0bf995b5380b7dd325a056ab97e659a2be0cdf6c33731c683a634b771e8
c92a139aee4bb0e49c7077321d42fc199f7c1f298ca625d223a5c263a03cc481
59b7812665b78637e4e18720b2c29a6b99f42766a4cbc4dc508ba94ba83b89c3
a5c78f8bb26bbd9b79beb8c8182490f5793ee5b96013b74b7e169e29d162f131
5464ea7d72436d89b755161192c81cc2dd1c8b8bba795ef426ee1cc01c37aaa3
7b2cff8b0a378b47cbd0b4d49398cfc2712959699fa0bd8cd84666acc61f541b
84fa96b9c854e4e75e9144addb44b8566a57dfbb545ce423c03346f2b2c1a917
80d152a8de1a4d4c9cacde7392c996888cc2399c02c38b3353adf8acab283924
da00a05b76e738c72c930d6cba09ae168990faa1fef2226e780861d416eff402
f4f759fc648ab1f97100109087f96e4b148d2cb31e4805314ea0cd95fb023eac
0d989474ba4201d7b41d26f5394b217eea5b34b71a8b37931c0e594271e0b7c7
33257240233e7ba735603e425a87dee77079e37cb28a21764594ce5350d8da2b
62a07174943032ec89c98809c73b6423d30c1d283a766a64d89703c3d629b497
828d48320c346210797a298aa10d423c8dda069d02bc59e6cdf03a096b8b3da4
cab9b80ca4a14907672ccef1ec4faf234a0bc5b7e9d473f2b3133b3b26a1d175
cb67a7805919699c02f76531b99c5f89180704bb4ca4535c5b8972679c660a07
c5e514b87009c862eb8f5157695efb3fc40a9def6b81c1cc02a249ae4f094ad0
d9bd3485c1c1c68080520a7c8c632032cee738154e5c5176c07da56024776a43
0fe76eacf665a3f7b832102215bc82f10939c8355704336a8fac1d81e4bb0485
aa5d7c74d6b59bbe5c5e972a0d8bac411b55b5d5557cd680a1a8f71b4eb86bc4
8c9a0509731a54bd9d7290b27963e4372dc9b199cfdcac0b01acd28a62395112
e4c43648d622c48c8234d01440e8cc376c927f23a5afc9ac0474c662274e4245
25c8552ece3b3fe26516de901bc7d515bde89558e626c95c80b93342f8010004
f39e6c6c94871c5e344cab3966c835f9a96a59afd31c40286b38b1c1a78470ba
b947518934453ce86736a919f1f5a6d510a86f5454fc3980cb5c765bd2bd5f7b
36b1410d6635c8ceb47c4dda0d76a28eac939c71c3024804866c716266584421
63c2c22117e50acefce6378a985652302a4ef0c2ce0cc716b7796e2b6b2e3777
dfa1ac3da259a31b5a9b530f8cb638a81a62ac301849abaf95a7301bda300689
09bfdb7e67dbccbb38a5551a25b1a3a0f685748ad5753d8880f0016c62748616
6384c5571fe2365900364d038311e2d875db366686932b5ec602430a369e87a6
ef5c338786657825bd4c057aceb923eb0935e6905e63b4ced7f80857a773dd64
b150d26612ea9ac12052db2017bf1843ccb4b3281b690dc728adfa85c00281b8
e3c09287335f856b4fc2892f69a2f57921ada01914c40988662d57769662a786
351b9b66493dab79594d986de2100d65ba0ff4ea58b81538d24a4435a258fac2
5404aa7f41f658b1385065e158dcb60115732720f40459aaac15e406953a90ac
52997d1ccd070060efc65db9e653354467fad56ec713c86e7540c423acf2669f
52fa6f4ac6888d871ef3e847c029a8aafbb92e17b24aa079b1f419ba6175b442
afb11909d4a56b70a0335b28739218aa7c9348e2c3c2f3eb3d15a41e6417c0dd
94bfeb21419b311a7bb13a180bbe833218a9a6b17447cc85f225859587a73077
049acbcfd44d0f025438e15d1538270d586e1bf83192a9459cf63c0e972f8529
7679831ecf121509851cb8340f6f107b0fa1a0efd1b36a8189bc085c4f5cb784
e553f41b918f80397ce1956f785bee377ca9aa8be6998ada30c26b7c3d8c6b55
254cc96203b20c42aee0ac4e1ebb408e49a9e3f879d0ab0785eb7025425d1305
a2299c015e120d163b0e19494ce57253d0246d182745cb8197ab7438b3c1bb79
72bec5a306eba3567855c014699fef65ae54c770a0d85c18400cf642aedc6607
77ba4b138502bd5a7812f621f84a48296b98dd4322b6f15828b8a8f0e00a8ba4
4a53c3a8b143571b0740abd567daf1cde9c79c204b6d5e259d1766a31bbbcb4e
6a05cf4502176b301c1c2f41247750157bcec85e809b30a4d60d7747cdd0f5b9
9aa8c826987517793aaa8080a0b124a8558df72bbe37b75f4edbb6be8216d6c6
33fb2b2280e25113d8695e43481c3eeb397eb192505229b67a201ea893c3e2cb
32da8bc342fa4dea0578a24e16d8f8f9383a95b77050f4d9fd2f5733eec1d63e
f3c23ebf9918173669a7202122232425262728292a2b2c2d2e2f303132333435
363738393a3b3c3d3e3f` }
}
}
C.1.2.3. Both Format
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
OCTET_STRING {
SEQUENCE {
OCTET_STRING { `000102030405060708090a0b0c0d0e0f1011121314
15161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
OCTET_STRING { `27d2a77f33756f61208ef113abe82595873d4abc73
0e5b5d679529bf6a4ceb6383427231a8612f41550515acba52e48ead8b942833
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0777ba4b138502bd5a7812f621f84a48296b98dd4322b6f15828b8a8f0e00a8b
a44a53c3a8b143571b0740abd567daf1cde9c79c204b6d5e259d1766a31bbbcb
4e6a05cf4502176b301c1c2f41247750157bcec85e809b30a4d60d7747cdd0f5
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cb32da8bc342fa4dea0578a24e16d8f8f9383a95b77050f4d9fd2f5733eec1d6
3ef3c23ebf9918173669a7202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
}
}
}
C.1.3. ML-KEM-1024 Private Key Examples
Each of the examples includes the textual encoding [RFC7468] followed
by the so-called "pretty print"; the private keys are the same.
C.1.3.1. Seed Format
-----BEGIN PRIVATE KEY-----
MFQCAQAwCwYJYIZIAWUDBAQDBEKAQAABAgMEBQYHCAkKCwwNDg8QERITFBUWFxgZ
GhscHR4fICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9Pj8=
-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
OCTET_STRING {
[0 PRIMITIVE] { `000102030405060708090a0b0c0d0e0f10111213141
5161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f30313233343
5363738393a3b3c3d3e3f` }
}
}
C.1.3.2. Expanded Format
-----BEGIN PRIVATE KEY-----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buHwv+o0qs+jPS7HkeUHUtTQNMsclRVyyqpcTZCUe2sXWm3Txip3u496ya4kcZtT
wrEgoodphuIXtyvXzuRKcmWxHO4asiYXYrMaNzg4aWnAgl+3lFLmUuEUL8c8nfb7
pBF5W0cXkispui1Tq+WowNzBYBsJbJbXk4/VpoqHl8e5R3qGpHLrXaJQyy/sMY2D
yPQ7vo4Rw143fTSTZshcQ4JZf2/CegBRwPsAsCwByiD5pCfxclmUd8ppDMEyfg8C
X4DsM4qAoVnjCMEqJ9safhuWCpnTffwihy5Rkw8oxlGrIh9Tq67iC62aPqvLq5Ey
Ub8TW+spYXtXVDM8TarbIjg0HCrZN4GGKA9kSUQLeEunj12sRNj2Wzt0IZUDl8OR
Oi3SPsbRy3F7NqX8la8ZHieClpSMElTqhrTsAEuUwpRQERGRgjs1FMmsHqPZglzL
hjk6LfsEZU+iGS03v60cSXxlAu7lyoCnO/zguvWlSohYWkATl6PSMvQmp6+wgrwh
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L82cTjRKESj6nhHgQ1jhku0BSyMjKn7isi4jcX9EER7jNXU5nDdkbamBPsmyEq/p
Tl3FwjMKcpTMH0I0ptP7tPFoWriJLASssXzRwXDXsGEbanF2x5TMjGf1X8kjwq0g
MQDzZZkYgsMCQ9d4E4Q7XsfJZAMiY3BgkuzwDHUWvmTkWYykImwGm7XmfkF1zyKG
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cntMSlwsEEEhKqEnSAi4IRGzd+x1IU6bGXj3YATUE52YYT9LjpjSCve1NAc6UJqV
m3p1ZPm0DKIYv2GCkyCoUCAXlU0yjXrGx2nsKXAHVuewaFs0DV4RgFlQSkmppQoQ
GY6xCleEZ460J9e0uruVUpM7BiiXlz4TGOrwoOrDdYSmVAGxcD4EKszYN1MUg/JB
ytzRwdN4EZ5pRCnbGZrIkeTFNDdXCFuzrng2ZzUMRFjZdnLoYegLHSZ5UQ6jpvI2
DHekaULHoGpVTSKAgMhLR67xTbF2IMsWwGqzChvkzacIK+n4fpwhHEaRY0mluo6q
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ez2LBOsLPCJWAR5McWwZqLoHUr9xSSEXZJ8GFcMpD8KaRv3kvVLbkobWAziCRCWc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-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
OCTET_STRING {
OCTET_STRING { `f77b7f6b15c73fe2cc546b67fb774ca19b42cd463ea9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363738393a3b3c3d3e3f` }
}
}
C.1.3.3. Both Format
-----BEGIN PRIVATE KEY-----
MIIMvgIBADALBglghkgBZQMEBAMEggyqMIIMpgRAAAECAwQFBgcICQoLDA0ODxAR
EhMUFRYXGBkaGxwdHh8gISIjJCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+PwSC
DGD3e39rFcc/4sxUa2f7d0yhm0LNRj6p+7mEykd6d7bHEIfL8FGr5HNqkHLG6HDI
MRxVlj9QCjx7G48qWFWPScYlJ7bFlLXnrLO89ZcnOldDUX0VEgi9SqYedbpnsL1Z
SplJGWJ6wKgE1InhcTNrwzn0ZmcG5RNEErNmgj1QMYyL8mGrEgoooE/sAcwV8rcZ
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bMIaU3RrIJlwd7uhVXM7KKTn+gd2OZUkdj60gc6qETZsNHSgRoX0DD8IsEJPQL/5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8781N0rcOSA1ynxYO5loW8pUGggHsWOs0IiL4Dhd6oINpG5Nu0TS5GLHNLg6Rz/t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-----END PRIVATE KEY-----
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
OCTET_STRING {
SEQUENCE {
OCTET_STRING { `000102030405060708090a0b0c0d0e0f1011121314
15161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
OCTET_STRING { `f77b7f6b15c73fe2cc546b67fb774ca19b42cd463e
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6482653eb89947877c118d370c696a6ffcc1018ae413a08a8d0ffaa819945da7
a167c229913290cad1c80a369258762610ea253e62dc24226a30c892c12136c3
26f13f4446664712b0b90bc063b4028593cbde06cdc22289e240c7e296b59172
c1aeda8c99e0512d1a0163a942ea33148e6937c026029424b81b996b1df22ea0
623ec65c6bf093500cf3bf35374adc392035ca7c583b99685bca541a0807b163
acd0888be0385dea820da46e4dbb44d2e462c734b83a473fed1364273159257c
c259a8c5676c1c76d41d56b9907ec1c3599c9e8907403a27a705e3619b04b0ad
046e8ec8169c17b460d44c0c0c4464d044c946186bc725965083a892bcc495c0
540311ff9b3e5192c303d88f8ba46a901c782ef02388f1b2addab6a5350fc363
9700e3154337337e4a178d351cd2b56ee1f0bfea34aacfa33d2ec791e50752d4
d034cb1c951572caaa5c4d90947b6b175a6dd3c62a77bb8f7ac9ae24719b53c2
b120a2876986e217b72bd7cee44a7265b11cee1ab2261762b31a3738386969c0
825fb79452e652e1142fc73c9df6fba411795b4717922b29ba2d53abe5a8c0dc
c1601b096c96d7938fd5a68a8797c7b9477a86a472eb5da250cb2fec318d83c8
f43bbe8e11c35e377d349366c85c4382597f6fc27a0051c0fb00b02c01ca20f9
a427f172599477ca690cc1327e0f025f80ec338a80a159e308c12a27db1a7e1b
960a99d37dfc22872e51930f28c651ab221f53abaee20bad9a3eabcbab913251
bf135beb29617b5754333c4daadb2238341c2ad9378186280f6449440b784ba7
8f5dac44d8f65b3b7421950397c3913a2dd23ec6d1cb717b36a5fc95af191e27
8296948c1254ea86b4ec004b94c29450111191823b3514c9ac1ea3d9825ccb86
393a2dfb04654fa2192d37bfad1c497c6502eee5ca80a73bfce0baf5a54a8858
5a401397a3d232f426a7afb082bc21a44317090eaac7592c2ea88a653c4491ea
193931335f52e989a3c4cc56d9c553732d57c470fb41ab759b65d2d04445382f
cd9c4e344a1128fa9e11e04358e192ed014b23232a7ee2b22e23717f44111ee3
3575399c37646da9813ec9b212afe94e5dc5c2330a7294cc1f4234a6d3fbb4f1
685ab8892c04acb17cd1c170d7b0611b6a7176c794cc8c67f55fc923c2ad2031
00f365991882c30243d77813843b5ec7c964032263706092ecf00c7516be64e4
598ca4226c069bb5e67e4175cf2286c8dd5c488a6c5861f31baa0bd0269470e8
b551dd3bcd38c86c12f9cdb176c77dc8b6c02a701f478902c8553f694c0d8272
7b4c4a5c2c1041212aa1274808b82111b377ec75214e9b1978f76004d4139d98
613f4b8e98d20af7b534073a509a959b7a7564f9b40ca218bf61829320a85020
17954d328d7ac6c769ec29700756e7b0685b340d5e118059504a49a9a50a1019
8eb10a5784678eb427d7b4babb9552933b062897973e1318eaf0a0eac37584a6
5401b1703e042accd837531483f241cadcd1c1d378119e694429db199ac891e4
c5343757085bb3ae783667350c4458d97672e861e80b1d2679510ea3a6f2360c
77a46942c7a06a554d228080c84b47aef14db17620cb16c06ab30a1be4cda708
2be9f87e9c211c46916349a5ba8eaa5201c7294a3c0885b53b657452108825ec
646c90a04612324ee7d031afe5343132cbef67b6efb1a5ec2809b773538ce77b
3d8b04eb0b3c2256011e4c716c19a8ba0752bf71492117649f0615c3290fc29a
46fde4bd52db9286d603388244259c15a7ac2b640a60cc03376a5841a3fb8a47
3568fa9b1a267215f34c01697b0f0e627175d72105b7707c29b9e614bdc33a6f
6c818a95370b427882d7b476796a9ec6eb993274cd9b2391a82ba45e3393d2e9
ae9721ca9d6c1b988b5827713f90a6585de9433528c02b03ce10bb5f720138d0
fbb4c30c1266b918e52925dfe17b37f95d22bca54f475919ac859098c0f0d08a
c5875ef29b56fd141e6ef15f700a0b66f39595c588177373c4669b21bc071e4c
3aa5f0b4a31b6258f35da24ac3cd29c7f2092410c5078355b138fb53a6b9ae6e
0b9c08243e7baa45c47376eb8c7f13d4cf51aa736fa31540c9241f370da544bf
9f9c28d9a57e2f2a7ca95a4e4b466e641ab3bcc76adf1139d567a6f12b52f3a6
5e7ec0aae26bcaa8c55833b04e59998ebc9a1930fbb6d2233c53d2c1f8b9518e
3c2de73a19dee6b380a5b32971cf64e129fd6c1fa6e75d4a234501e966dd3a54
0af5c8f4f34a6b4a253ee28492566d5e67c6f55855fcb0506fb06c156744d9a0
3a31a26fa94cad14f157b7f303d07a69c773768fcb4d079c09059703a0c3a94d
e4b99ea3a2f16583d0f9170a3950db07b4f0bc30802927f9f7961b6259892636
a9502a2705303637799dd344da451c1cf7bf67840ceb3079ab8c6b8c1927f640
53c612450c45c9e603bc16666e596b3471e103b6f15447424d17022048111ffb
d37e1c670f64f14b8a7b32b94c1a49b45dd2fc38cd5289d910ad63602cf5e130
42c64ac6797b89fb551ad08e05a92d200cccb7e712ef23c9312cb350f029ab53
7e287347fd3075ac10906a783f1c6c07ccb88f41228c4be1c640f790b5c3a5d5
d3ca792495d74bc461562658c07ac600276b924ab5bc9be1f0494cb76f82f460
a7480972663381e169996061d799859ec54d4f5ca5c411c01db1597b16597766
9de13a928a34afbac258fea8c4764239c9421dc3119bf5b47699206978327b1c
5345ef746a7983841f056e2534100ab24d4e9abbd0b17c6a95bd4c3c0e40f69e
1612aceeb28b99086c95116e7204273893390bf46b899b36286b0ebf1947bb98
84f732ca27da82b19b5dc0cc7f8885714910888b2310c4f9319d410b34e6433b
9003e2176bb995257456106e8952163b8ba592530cc5aa0aeb43ad398fe9e97b
aa523d7a4431677c3d3af0719e475db85ca95af5089beabeb05b2faab4896ba6
0f81c88472a57b46a828826a0cdfb446f8189182d2bf5eac4ec1cc5deaf599c8
a13e48235406d17ffddc8344b6c66984a868aa92fa02227a086950eb0c8701ed
58dc628776b983882e117561349e5c131a7e116a0463861d7d18663c5627c38c
7147ddaadfd48acd7a4535202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
}
}
}
C.2. Example Public Keys
The following is the ML-KEM-512 public key corresponding to the
private key in the previous section. The textual encoding [RFC7468]
is followed by the so-called "pretty print"; the public keys are the
same.
-----BEGIN PUBLIC KEY-----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-----END PUBLIC KEY-----
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
BIT_STRING { `00` `3995815e597d104355cf29aa5333c93251869d5bcdb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` }
}
The following is the ML-KEM-768 public key corresponding to the
private key in the previous section. The textual encoding [RFC7468]
is followed by the so-called "pretty print"; the public keys are the
same.
-----BEGIN PUBLIC KEY-----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-----END PUBLIC KEY-----
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
BIT_STRING { `00` `298aa10d423c8dda069d02bc59e6cdf03a096b8b3da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` }
}
The following is the ML-KEM-1024 public key corresponding to the
private key in the previous section. The textual encoding [RFC7468]
is followed by the so-called "pretty print"; the public keys are the
same.
-----BEGIN PUBLIC KEY-----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Vv0UHm7xX3AKC2bzlZXFiBdzc8RmmyG8Bx5MOqXwtKMbYljzXaJKw80px/IJJBDF
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fi8qfKlaTktGbmQas7zHat8ROdVnpvErUvOmXn7AquJryqjFWDOwTlmZjryaGTD7
ttIjPFPSwfi5UY48Lec6Gd7ms4Clsylxz2ThKf1sH6bnXUojRQHpZt06VAr1yPTz
SmtKJT7ihJJWbV5nxvVYVfywUG+wbBVnRNmgOjGib6lMrRTxV7fzA9B6acdzdo/L
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MDY3eZ3TRNpFHBz3v2eEDOsweauMa4wZJ/ZAU8YSRQxFyeYDvBZmbllrNHHhA7bx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-----END PUBLIC KEY-----
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
BIT_STRING { `00` `4b94c29450111191823b3514c9ac1ea3d9825ccb863
93a2dfb04654fa2192d37bfad1c497c6502eee5ca80a73bfce0baf5a54a88585
a401397a3d232f426a7afb082bc21a44317090eaac7592c2ea88a653c4491ea1
93931335f52e989a3c4cc56d9c553732d57c470fb41ab759b65d2d04445382fc
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7a46942c7a06a554d228080c84b47aef14db17620cb16c06ab30a1be4cda7082
be9f87e9c211c46916349a5ba8eaa5201c7294a3c0885b53b657452108825ec6
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d8b04eb0b3c2256011e4c716c19a8ba0752bf71492117649f0615c3290fc29a4
6fde4bd52db9286d603388244259c15a7ac2b640a60cc03376a5841a3fb8a473
568fa9b1a267215f34c01697b0f0e627175d72105b7707c29b9e614bdc33a6f6
c818a95370b427882d7b476796a9ec6eb993274cd9b2391a82ba45e3393d2e9a
e9721ca9d6c1b988b5827713f90a6585de9433528c02b03ce10bb5f720138d0f
bb4c30c1266b918e52925dfe17b37f95d22bca54f475919ac859098c0f0d08ac
5875ef29b56fd141e6ef15f700a0b66f39595c588177373c4669b21bc071e4c3
aa5f0b4a31b6258f35da24ac3cd29c7f2092410c5078355b138fb53a6b9ae6e0
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e7ec0aae26bcaa8c55833b04e59998ebc9a1930fbb6d2233c53d2c1f8b9518e3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` }
}
C.3. Example Certificates
The following is the ML-KEM-512 certificate corresponding to the
public key in the previous section signed with the ML-DSA-44 private
key from [RFC9881]. The textual encoding [RFC7468] is followed by
the so-called "pretty print"; the certificates are the same.
-----BEGIN CERTIFICATE-----
MIINpDCCBBqgAwIBAgIUFZ/+byL9XMQsUk32/V4o0N44808wCwYJYIZIAWUDBAMR
MCIxDTALBgNVBAoTBElFVEYxETAPBgNVBAMTCExBTVBTIFdHMB4XDTIwMDIwMzA0
MzIxMFoXDTQwMDEyOTA0MzIxMFowIjENMAsGA1UEChMESUVURjERMA8GA1UEAxMI
TEFNUFMgV0cwggMyMAsGCWCGSAFlAwQEAQOCAyEAOZWBXll9EENVzymqUzPJMlGG
nVvNvkhxJPYCuLambBbEdhZIrXZc9dgAa1FekFp/CsB2sMYu+jKBU+fKVwFpnxMF
8ea8b5Cw5JtpNRK2zpkqi4AW3fwaZix+P5YZy9hp3Xca8wiWzNWRisbLd0ZsXneZ
ltZ/+aq8l1A/LHt+LQANhkUPsYB8pMq9pGWCWjHHiaG3pJGrOHJ2XTINC3GSD6IT
yUCTQWuDuBJOafZeYstQANzDeqmg//c5cMR3LzV9JBicpvUwVWjA4jdqN2KmjGBe
VjxdIJVy4Px1MsopRylTVWe1/EE8XoeS0kZFNsyAj5it10Zk8UFWb5AWqQpUGCmp
igRkzkGou0TC1Po8LCCUYHKO8UoafEybmNEiA7TMNSkWCpqy14OPf/a1OuBaoxp9
ZGt6+mxFkyUmo8N1Vhm+mUwhHCoxwFs0R4NsshUL4YKdrmsExVNc/1RuOSunl0EX
IPkk9JClrFSV8hNW1VC3gqZMFoi2tlW8x4Qhl6Q0wvZWO1t/CaeLzEiCMng1YdFv
TLq2dVQABQeBVwxmYEuBetElIpRzbosBhhpLWnRRm4tv5RSJpQcjkuWHYmxxN3ZX
XTOAahyOJzKvl8JoD1FmYzHE64u8BDHE+Wgy2vGzxFUo+6FT9seLHBmHApR8zTN3
J6RvtTuhHeXLQZE0aFlRbLatckAPPPIJsjau81pYCsh+s+MPr9Zpc8qKfdJnWvQf
ehe2FDPNGvgPdwiGn2ZUiEl5gLGsEKDNy2NqAO2GgbNeQpEkyoA1ByW4X4Ol6sOk
o8wWAJA+ZSk1YLmzNuWvDVKdrBoEgRkwLLepvMEQuUhRvwIRfxmdxIWoUrdHPwm4
MaaDHVtUwLeQ0iXPa7ktlGKibNsz3aUSPHqvDiaguDZV7qKL86gHRyUBj9a65LYB
z2G6q3Gno9NRl6ND50tKJywSXVQIlkJthbeVjTs4prqYfsNyJce0TNsS3eRTm0qw
gjY2g/BL96CcxcQd/oMKGxYuCzJDNDYvCEoURncjNEut0AD42MU3xI+ZjwUwfOvR
7eC4HDvFmgZaG21jsmyjUjBQMA4GA1UdDwEB/wQEAwIFIDAdBgNVHQ4EFgQUDsWS
pZcefo2geKhuRnTy+xH26NcwHwYDVR0jBBgwFoAUMpoHsfq7SPUqMJ8RoYmPhI4j
Iv8wCwYJYIZIAWUDBAMRA4IJdQDcV8LA/De8Ss6UL3tMcHXKc0iTXaBPPLyoCimW
KG/BhZ299qdyg6Qv/hWMxXfuQLvBIJUiE9boIUvDJH1Bv5q+wBXDM4Pcb585a972
fB7Lj7rTYwGezp4QRGsn4bMOUHtOS/9MaD9LAw8XlEDSl69KgN+jN+Cak+PS1Q3O
u+TpeM2fo304+3vTfHlNiePSNOqkd1pzs2nwVIbQGIWctpF1rIHC7NJ/XOO3ZsN3
Cr758OLyAotCdGCRnj16Fhxh1rJ976b6y+Yo96CDMgl22lYPJoihlBekuKc4ugkE
g4vJEwAtPlMoaogn7XJcWkKIhGKp1M7nG9KvgQxCRvIfRURuDyHaiOAkOayK+Hp6
4AV02pbYX/w1X9bW1KOeId42EUQpF2iFu3ilOJi1JmMFyMP8lZZYq/8fPv3KGZPF
YJpd6yaA7ReIQaNiFgCMqx7nw/Zti7sa2a5dor3YqYRjZ8UlJUuYUKxNDde/u46W
mIEGSYcynpOiEYbyeWmXW4ye7qhT1Q7bmFPV8Mjzn3rXytzUzUZfrK8j9cHxAozY
sF7RDuBmauliYfV1jaroCcHrohVTnSSiSMQKV4q6HjKPIpf4qENs4SVh9xkWXdbB
OaiGgFhsI+sxlDGPRwbKrj6gVcbyFuJIPRL1LylJ2qFXzpzHyfAS3fHFvgv+S0AJ
DnfNk3OcT7G9jQhESQOkTXA4LqxPI+0c6asvauXlICnN8RdOjraY4+DQL8cYidEi
SAnXsOKNSzj+b225zdPvfBB/4eJTtV7VdnQOhETJErofxEWbpA8zobl/+bu2smdY
Pg1a83hwVo+HxfkSz1iHW9WT9+iwhnm28RqzLdmmzZGJSfgEFkADriwXUEr+LIkX
0xeMGvyXxdxv9S6Y6y+n0Al0ql0tzGviVoDqA0xNLU+Mupou5ftDTJj7U1oxIUHj
HlFeE06+JRoTPbDcl+cBil31SlxuZ1u7cOE33nbPOw0jWDXeA8M5uE3aMQah5VRf
tZXmdijH4zEN1/++Q5oJAF1SCTsnTkZ0lk3ZlIfpO0H1sJpINzLlBO04dLlQx2Nc
NFIExuPsVO7kW1rDLqkh8srBKrdUa/8ngD3kppXW7iaBhSnUE0N6lrwi5g/fJbNU
H0W7r0b31u0KDQ8cNKlK8PZL5pu/ulJTGZ5Dz4HORwVt2aXQojZfGQ0rashKxes8
F+Ewgse7NUAt3HqX94+0SWpfpNCVlZknK5XfhZJV08XVZ2TkTDoJ6aBLqua/a5Xg
jWTwroAJuB84jx2B1eCeYxjt+3cEaB274XU++H6m5kP/1QtJ3L1r545NaRQAylZF
MwCtCTVyAavhrTcrQwhl8rVGAKOlXaCfHSln8y9u26qMHeL9BIP7JeMeZxCYQQ5b
QxN0WvGmK11W6XG2CTc0qQ0RdUOvfrXTfl5A+I6DS4T2Z26APgkoq2JSQihO3JEg
S7zknl2NoAummhweGU/qSPzX+4/KlxwcCCs8mD8ZkkwhdB5poU4uTES/eCO+rrm3
wxLmiIcv2RwNdN8bRkxm35SQCCfc6riit4AxkaRKz5b27FWedfkH9bOgQaQGxm/v
5IwGHsFGeQFJyV1pNvo0aB9vvMTL3VZOsoXooxrdlc0kv7jJ9Q6eF8ZAFYXvxnaS
D+/OsH1b1+6WCVZIDRzRsMauvaifYUZNMQQ/CKSkDkFPjBDY5Xca9yZkGl+S+Pzz
7ODu6y3lvvUk+V6sPKEAS4ejZOocriV75SPfz0WlRZoljJXOm3tKCo6L2e56ntVs
hRiIBaLG5stQf2EihTSZUf21zNjb15E7KcdbTtr8TE0iJAuVYxBtNRWsVhExOMO/
QqXWnHL015pv8Dubwt6iDr8ObCDNOItPtszlNjCz4yN51aGTrHGZ0CJcbcUWqxOm
W1wrQmnYWUaz1eDahmbnowXshqI8RcGqvzUlZ0/g6nEbAJZgbk7jozC1VlwOKMM4
erhkw5mrrpicX3cvP3wl3JyhB6vbAfK4XQH3CfrnK12BhpgG0+9V5DKxTL02f+5m
ckJI9cZqSYx8rhlDlNbR33kSOY0Ba2RwvmMxhdypd38l5S8oSwTRu5eJ4VrrSeeM
wiW3gIxLA+o+SD2iFKyafsWLeu+Axx5/HlIVB+g82dGKkZrrESEvO9LpdlaS+AMW
9BccbDD2SGE2UZKlK4zx2QwYvnFG/ZDRjmvQV0dQOxiy0j2l7WHmbedlTTUUd5FU
0cfSG+cJHnToa/VRU4mDHvFpnV+AF0dA1s0oemhN5vOqhDzHnKasFFpUDH88mS7K
gbXELYiHTQEB/s/Hr0crjwVQQCbJFe4bBJzhcnwuOcdNUKLmF7MidvoyKYYu20oE
P6F0/RoDwS2FW3RyrKeSzlLWnuarfTq84iMaPgKrOl8XNfaSgGRsG3kxGe0s3rVs
iwzaO8THoCLp6WpEebfucmSCMXtKfVG/28u/dvQkz1D0oqTcWqhQiDLqZI3HjdDr
io44DARVGKAsEvq75Jq91GXP+1R8yejpP1lZU4onX1i0E8DMuVEU85JN+kFXbS83
6nZHmYhgwj93IvetNiK5cJs2M19LnJj5GrONmPMizoXCIBjzDx0MO/3CoRF5achF
p598lYloyvlS1VYhwmLrpFmz0BB9OEepvdq0ZX11XM532I6WIF4lAUh0YEx1FInO
XJ74LC2uMxa92W6nceJAjiraJKhi4VnURhPa7MUt/2oA5WY8zzmVGn94UlPsEmPj
/nl7vXBVLb9Nojt9AkIO637bT+1wszCvOH8nelnzNDsCBi9B8+mdgzizEN08UKSk
dCaNbCB86LVeo+umyY5abmgr2NOI7XaSTqWMs7ezemR5AkIUka35LgVIKvZw2WEz
G3KxZImSviV+XMsakqGTdXof7k1usEcmbJ/EJLi9ecaxMZKuLjT9sFtNo8uvE/m1
1pf4bGnGXgBERGpZsqnm+JNxDDTbD1WntdPpyeF8/6iXd/eNiHboV830Olj0dXJ4
YbTrQBcWbfUeZ8+8gGJ0bgshMtPCrOdYVMAfWfcu7DyFi0tQdtS1pmo5Co+OwLxe
IyKgwlIYOghCE3r6SBCrx0+sTP0sixV5Refu2JIBkjoywPavmK3+109l1F0BkzST
fQ1pAwENGx0oLVFdZHB1f4CSlZaiq8Te7AtOfX6Qtba4w8bP1+j2FSVCWGt4goSv
s7TAwcrR1drv9BRiaH2qytnr8PcAAAAAAAAAAAAAAAAAAAAAFSM2QA==
-----END CERTIFICATE-----
SEQUENCE {
SEQUENCE {
[0] {
INTEGER { 2 }
}
INTEGER { `159ffe6f22fd5cc42c524df6fd5e28d0de38f34f` }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.17 }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
UTCTime { "200203043210Z" }
UTCTime { "400129043210Z" }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
BIT_STRING { `00` `3995815e597d104355cf29aa5333c93251869d5
bcdbe487124f602b8b6a66c16c4761648ad765cf5d8006b515e905a7f0ac076b
0c62efa328153e7ca5701699f1305f1e6bc6f90b0e49b693512b6ce992a8b801
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67ff9aabc97503f2c7b7e2d000d86450fb1807ca4cabda465825a31c789a1b7a
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37aa9a0fff73970c4772f357d24189ca6f5305568c0e2376a3762a68c605e563
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74664f141566f9016a90a541829a98a0464ce41a8bb44c2d4fa3c2c209460728
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b7afa6c45932526a3c3755619be994c211c2a31c05b3447836cb2150be1829da
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c1688b6b655bcc7842197a434c2f6563b5b7f09a78bcc488232783561d16f4cb
ab6755400050781570c66604b817ad1252294736e8b01861a4b5a74519b8b6fe
51489a5072392e587626c713776575d33806a1c8e2732af97c2680f51666331c
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3e30fafd66973ca8a7dd2675af41f7a17b61433cd1af80f7708869f665488497
980b1ac10a0cdcb636a00ed8681b35e429124ca80350725b85f83a5eac3a4a3c
c1600903e65293560b9b336e5af0d529dac1a048119302cb7a9bcc110b94851b
f02117f199dc485a852b7473f09b831a6831d5b54c0b790d225cf6bb92d9462a
26cdb33dda5123c7aaf0e26a0b83655eea28bf3a8074725018fd6bae4b601cf6
1baab71a7a3d35197a343e74b4a272c125d540896426d85b7958d3b38a6ba987
ec37225c7b44cdb12dde4539b4ab082363683f04bf7a09cc5c41dfe830a1b162
e0b324334362f084a14467723344badd000f8d8c537c48f998f05307cebd1ede
0b81c3bc59a065a1b6d63b26c` }
}
[3] {
SEQUENCE {
SEQUENCE {
# keyUsage
OBJECT_IDENTIFIER { 2.5.29.15 }
BOOLEAN { TRUE }
OCTET_STRING {
BIT_STRING { b`001` }
}
}
SEQUENCE {
# subjectKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.14 }
OCTET_STRING {
OCTET_STRING { `0ec592a5971e7e8da078a86e4674f2fb11f6
e8d7` }
}
}
SEQUENCE {
# authorityKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.35 }
OCTET_STRING {
SEQUENCE {
[0 PRIMITIVE] { `329a07b1fabb48f52a309f11a1898f848
e2322ff` }
}
}
}
}
}
}
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.17 }
}
BIT_STRING { `00` `dc57c2c0fc37bc4ace942f7b4c7075ca7348935da04
f3cbca80a2996286fc1859dbdf6a77283a42ffe158cc577ee40bbc120952213d
6e8214bc3247d41bf9abec015c33383dc6f9f396bdef67c1ecb8fbad363019ec
e9e10446b27e1b30e507b4e4bff4c683f4b030f179440d297af4a80dfa337e09
a93e3d2d50dcebbe4e978cd9fa37d38fb7bd37c794d89e3d234eaa4775a73b36
9f05486d018859cb69175ac81c2ecd27f5ce3b766c3770abef9f0e2f2028b427
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4b8a738ba0904838bc913002d3e53286a8827ed725c5a42888462a9d4cee71bd
2af810c4246f21f45446e0f21da88e02439ac8af87a7ae00574da96d85ffc355
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959538a275f58b413c0ccb95114f3924dfa41576d2f37ea7647998860c23f772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` }
}
The following is the ML-KEM-768 certificate corresponding to the
public key in the previous section signed with the ML-DSA-65 private
key from [RFC9881]. The textual encoding [RFC7468] is followed by
the so-called "pretty print"; the certificates are the same.
-----BEGIN CERTIFICATE-----
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0qHWt1xSO0G6FPK4zTyEY/84z+ecXFvxxynXLYYCm5kEhK06PYiVY5OKOaBe9vma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-----END CERTIFICATE-----
SEQUENCE {
SEQUENCE {
[0] {
INTEGER { 2 }
}
INTEGER { `159ffe6f22fd5cc42c524df6fd5e28d0de38f34f` }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.18 }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
UTCTime { "200203043210Z" }
UTCTime { "400129043210Z" }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
BIT_STRING { `00` `298aa10d423c8dda069d02bc59e6cdf03a096b8
b3da4cab9b80ca4a14907672ccef1ec4faf234a0bc5b7e9d473f2b3133b3b26a
1d175cb67a7805919699c02f76531b99c5f89180704bb4ca4535c5b8972679c6
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e87a6ef5c338786657825bd4c057aceb923eb0935e6905e63b4ced7f80857a77
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cb784e553f41b918f80397ce1956f785bee377ca9aa8be6998ada30c26b7c3d8
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1bb7972bec5a306eba3567855c014699fef65ae54c770a0d85c18400cf642aed
c660777ba4b138502bd5a7812f621f84a48296b98dd4322b6f15828b8a8f0e00
a8ba44a53c3a8b143571b0740abd567daf1cde9c79c204b6d5e259d1766a31bb
bcb4e6a05cf4502176b301c1c2f41247750157bcec85e809b30a4d60d7747cdd
0f5b99aa8c826987517793aaa8080a0b124a8558df72bbe37b75f4edbb6be821
6d6c633fb2b2280e25113d8695e43481c3eeb397eb192505229b67a201ea893c
3e2cb32da8bc342fa4dea0578` }
}
[3] {
SEQUENCE {
SEQUENCE {
# keyUsage
OBJECT_IDENTIFIER { 2.5.29.15 }
BOOLEAN { TRUE }
OCTET_STRING {
BIT_STRING { b`001` }
}
}
SEQUENCE {
# subjectKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.14 }
OCTET_STRING {
OCTET_STRING { `42bcb5a167fa330449612dbd8187056a7518
f787` }
}
}
SEQUENCE {
# authorityKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.35 }
OCTET_STRING {
SEQUENCE {
[0 PRIMITIVE] { `1b0563e3cd3346149c8c9ebcf23b0a4e5
a900eea` }
}
}
}
}
}
}
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.18 }
}
BIT_STRING { `00` `f26b7c753fb82773fe37fa0c08d5b6cfc8b16191b3d
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e2dda62c654f5cc9fc61ec071b2927d09514952828faa34050dd9be604f3cebd
cb146d4539a2816008f3ac7bad1fbe72a11043bdcc49ee53744e6dc40f903411
98c4373a189b886cce10e694e8f084549dcff8dfa5266ff433694d69881a92cd
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41681af19fefe5e416f9a525b1a7e1409a68739468366c14132201c30001c3ef
f4520cf80f4d2236c2da299dd1325ffad2dfead2c0e8f8051edcd317dcae2fc1
5223e6db2ebf60a343c6d929ea3cce114216b8b363a83afb4d9102364a6beed0
00000000000000000000000000000000000050c15191f25` }
}
The following is the ML-KEM-1024 certificate corresponding to the
public key in the previous section signed with the ML-DSA-87 private
key from [RFC9881]. The textual encoding [RFC7468] is followed by
the so-called "pretty print"; the certificates are the same.
-----BEGIN CERTIFICATE-----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-----END CERTIFICATE-----
SEQUENCE {
SEQUENCE {
[0] {
INTEGER { 2 }
}
INTEGER { `159ffe6f22fd5cc42c524df6fd5e28d0de38f34f` }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.19 }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
UTCTime { "200203043210Z" }
UTCTime { "400129043210Z" }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
BIT_STRING { `00` `4b94c29450111191823b3514c9ac1ea3d9825cc
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}
[3] {
SEQUENCE {
SEQUENCE {
# keyUsage
OBJECT_IDENTIFIER { 2.5.29.15 }
BOOLEAN { TRUE }
OCTET_STRING {
BIT_STRING { b`001` }
}
}
SEQUENCE {
# subjectKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.14 }
OCTET_STRING {
OCTET_STRING { `da82182c39ebdb350d904ee4bc507b72043f
fa23` }
}
}
SEQUENCE {
# authorityKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.35 }
OCTET_STRING {
SEQUENCE {
[0 PRIMITIVE] { `89886750b57c24db3fc012e61ede59753
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}
}
}
}
}
}
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.19 }
}
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7f8575e7aa8c6c9070c1c245b737f939bc8edf272777f90d820229e000000000
000000000000000000000000000000000000000000004080f171d292e31` }
}
C.4. Examples of Bad Private Keys
| WARNING: These private keys are purposely bad. Do not use them
| in production systems.
The following examples demonstrate inconsistent seed and expanded
private keys.
C.4.1. ML-KEM Inconsistent Seed and Expanded Private Keys
Four ML-KEM-512-PrivateKey examples of inconsistent seed and expanded
private keys are shown as follows:
1. The first ML-KEM-512-PrivateKey example includes the both CHOICE,
i.e., both seed and expandedKey are included. The seed and
expanded values can be checked for inconsistencies.
2. The second ML-KEM-512-PrivateKey example includes only
expandedKey. The expanded private key has a mutated s_0 and a
valid public key hash, but a pairwise consistency check would
find that the public key fails to match private.
3. The third ML-KEM-512-PrivateKey example includes only
expandedKey. The expanded private key has a mutated H(ek); both
a public key digest check and a pairwise consistency check should
fail.
4. The fourth ML-KEM-512-PrivateKey example includes the both
CHOICE, i.e., both seed and expandedKey are included. There is
mismatch of the seed and expanded private key in only the z
implicit rejection secret; here, the private and public vectors
match and the pairwise consistency check passes, but z is
different.
The following is the first example:
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
The following is the second example:
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
The following is the third example:
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
The following is the fourth example:
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----