RFC 9500
Standard Public Key Cryptography (PKC) Test Keys
Standard Public Key Cryptography (PKC) Test Keys πβ¨
RFC 9500 π Internet Engineering Task Force (IETF)
- Authors: P. Gutmann (University of Auckland) and C. Bonnell (DigiCert) π
- Category: Informational π¦
- Date: December 2023 πΈ
- ISSN: 2070-1721
- Obsoletes / Updates: nothing is listed in the header, so this doc doesn't obsolete or update anything π ββοΈ
Abstract π
okay so this doc hands you a set of standard PKC test keys π you can use whenever you need pre-made keys and stuff like digital signatures. it's giving EICAR and GTUBE energy, bestie π¦. these public test keys can be spotted by the apps using them as purely for testing, with zero security properties assigned π
Status of This Memo π
this one is NOT a standards track spec, it's just published for info π§
it's still an IETF product that reflects the consensus of the IETF community π«Ά. it got public review and was approved by the IESG. not every IESG-approved doc is up for any level of Internet Standard though, so see Section 2 of RFC 7841 π
check https://www.rfc-editor.org/info/rfc9500 for the current status, errata, and where to send feedback π
Copyright Notice βοΈ
Copyright (c) 2023 IETF Trust and the persons identified as the document authors. All rights reserved. π
this doc is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/license-info) as in effect on the publication date. please actually read those, they spell out your rights and restrictions π. code components pulled out of this doc must include Revised BSD License text as described in Section 4.e of the Trust Legal Provisions, and they come with no warranty, as the Revised BSD License says π₯
this doc may contain material from IETF Documents or IETF Contributions published or made publicly available before November 10, 2008. the copyright holders of some of that stuff may not have let the IETF Trust allow modifications outside the IETF Standards Process π. so unless you get a proper license from them, this doc can't be modified outside the IETF Standards Process, and derivative works can't be made outside it either. the only exceptions are formatting it for RFC publication or translating it into languages other than English π
Table of Contents πΊοΈ
1. Introduction
2. Publicly Known Test Keys
2.1. RSA Keys
2.2. DLP Keys
2.3. ECDLP Keys
3. IANA Considerations
4. Security Considerations
Authors' Addresses
1. Introduction β¨
okay bestie, the internet runs on public key cryptosystems, so there are TONS of publicly known keys floating around π. some are just for testing, and some ship preconfigured in apps. the problem? nobody keeps a record of them, so relying parties often don't realize the keys provide no security π±. this doc fixes that by giving you a set of standard public test keys for when you need a preconfigured or sample key, and also for situations where those keys get used, like testing digitally signed data π.
its vibe is basically the EICAR test file (a non-virus that antivirus products use to test themselves) and the GTUBE file (a similar one for spam-detection products) π¦.
the keys cover three major algorithm families π:
- RSA
- algorithms based on the Discrete Logarithm Problem (DLP), such as DSA, Diffie-Hellman (DH), and Elgamal
- algorithms based on the Elliptic Curve Discrete Logarithm Problem (ECDLP), such as ECDSA and Elliptic Curve Diffie-Hellman (ECDH)
some of these algorithms and key sizes aren't recommended anymore π, but the keys for them are still included so the huge installed base of existing implementations that use them stays supported π«Ά.
this doc doesn't try to cover every possible algorithm family, because there are WAY too many and new ones keep popping up (and some disappear) πͺοΈ. if similar docs get created for more families, they should update this document, and for ease of implementation and use they should stay compatible with the format and naming conventions used here π.
2. Publicly Known Test Keys π
this section gives you the test keys for each algorithm group in a bunch of sizes, written in a C-like notation π . you can drop them straight into crypto code in C-like languages such as C, C++, Java, JavaScript, Go, Swift, and Rust, which covers most of the languages people actually use for crypto code π₯.
they also come in encoded form, specifically the OpenSSL private key format, which lots of applications can process directly π§.
each key element is written as a count in bits (the value the nominal key size comes from), followed by a byte string holding that element in big-endian form. for example, here's a sample key component for the RSA p value. 0xCF is the most significant byte of the RSA p value, and 0x03 is the least significant byte π:
/* p */
512,
{ 0xCF, 0xDA, 0xF9, 0x99, 0x6F, 0x05, 0x95, 0x84,
0x09, 0x90, 0xB3, 0xAB, 0x39, 0xB7, 0xDD, 0x1D,
[...]
0xE1, 0x2C, 0x0D, 0xF7, 0x30, 0xE2, 0xB8, 0x09,
0x73, 0x50, 0x28, 0xF6, 0x55, 0x85, 0x57, 0x03 },
on top of the key data, every key gets a recommended name for use in source code, so there's one standard reference for each one π.
2.1. RSA Keys π
the following publicly known test keys may be used for RSA π¦.
RSA-1024 key "testRSA1024":
/* n */
1024,
{ 0xB0, 0xD1, 0x83, 0x52, 0xA8, 0x8F, 0x53, 0xD5,
0x51, 0x6F, 0x46, 0xC2, 0x0E, 0x7A, 0x36, 0x7D,
0x7D, 0xE8, 0x8A, 0xCF, 0x54, 0xA0, 0x19, 0xF6,
0xDE, 0xF5, 0x7A, 0xB9, 0xB4, 0x4C, 0xED, 0xDB,
0x22, 0x42, 0xB1, 0xBC, 0xA0, 0xFB, 0x1B, 0x5C,
0xB8, 0x2B, 0x30, 0x36, 0x17, 0x6A, 0x63, 0x90,
0x35, 0x64, 0xDE, 0xC6, 0xEB, 0x41, 0xDB, 0x2F,
0x8F, 0xC7, 0x87, 0xF4, 0xE5, 0x2E, 0x11, 0x49,
0xE3, 0x33, 0x47, 0x57, 0x29, 0x73, 0xF6, 0x60,
0xC3, 0xC7, 0x7C, 0xA9, 0xE0, 0x82, 0x1C, 0x2B,
0x69, 0x5B, 0xE7, 0xAE, 0x9D, 0x7D, 0x30, 0xF4,
0x07, 0x91, 0x10, 0xF4, 0x8A, 0xAE, 0x6F, 0x8B,
0x70, 0x2D, 0x47, 0x4B, 0x29, 0x00, 0x81, 0x7F,
0x28, 0x66, 0x24, 0x9B, 0xEC, 0x12, 0xA2, 0xB1,
0x9B, 0x82, 0x78, 0x41, 0x68, 0x08, 0xF8, 0x1A,
0xE1, 0xFC, 0xF9, 0xB7, 0x77, 0x8A, 0x62, 0x3F },
/* e */
17,
{ 0x01, 0x00, 0x01 },
/* d */
1023,
{ 0x48, 0x2E, 0x9F, 0x8F, 0xA4, 0xE4, 0x2D, 0xF3,
0x0D, 0x75, 0x81, 0xCB, 0x42, 0xA1, 0xBD, 0x90,
0xE9, 0x4F, 0x7F, 0x2B, 0x38, 0x7E, 0xCB, 0x5A,
0xAE, 0x96, 0x43, 0xED, 0x7F, 0x9F, 0x50, 0x12,
0x7F, 0x1F, 0xFE, 0xF2, 0xE4, 0x3C, 0xDE, 0x64,
0xB1, 0x82, 0x60, 0x02, 0x14, 0xF9, 0x07, 0x80,
0x1D, 0x6B, 0xFA, 0x4D, 0xF6, 0x48, 0x42, 0x34,
0x5E, 0x5B, 0xB4, 0x32, 0xD3, 0x44, 0x45, 0x25,
0xD8, 0x30, 0x16, 0x54, 0xC5, 0x44, 0x2B, 0x0A,
0x5E, 0x11, 0xB9, 0xC7, 0xE2, 0x01, 0xFA, 0x32,
0xF4, 0x1A, 0xBA, 0xF4, 0xF0, 0xA6, 0xE0, 0x3C,
0xF0, 0xE0, 0xCB, 0x82, 0x66, 0xC6, 0x2A, 0xD1,
0x1D, 0x95, 0x6D, 0x53, 0xC9, 0x46, 0x6E, 0x48,
0x99, 0x5F, 0xEA, 0x26, 0x0C, 0x85, 0x36, 0xF0,
0x41, 0xCB, 0x35, 0x62, 0xFA, 0xAC, 0x51, 0x1C,
0x4D, 0x66, 0xA8, 0xFE, 0xD1, 0x11, 0xB2, 0x91 },
/* p */
512,
{ 0xE9, 0xD8, 0x6E, 0x4D, 0xC3, 0x4A, 0x98, 0x5A,
0x7E, 0xC7, 0x5A, 0x6F, 0x54, 0xA7, 0x5C, 0xE4,
0x51, 0x39, 0xE4, 0x52, 0x40, 0xB3, 0x86, 0xAB,
0x71, 0x1D, 0xB7, 0x91, 0xBC, 0xD9, 0x87, 0x18,
0xA1, 0x3B, 0xAF, 0x21, 0x8C, 0x24, 0x49, 0x36,
0x46, 0x68, 0x07, 0x56, 0xCB, 0x50, 0xA6, 0xCB,
0xEE, 0x15, 0x8E, 0x25, 0x21, 0x44, 0x99, 0x12,
0x30, 0x1C, 0x0D, 0x41, 0x49, 0x11, 0x18, 0x45 },
/* q */
512,
{ 0xC1, 0x91, 0xFA, 0x3B, 0x55, 0x0B, 0x39, 0x1A,
0x7C, 0xB0, 0x72, 0x83, 0x76, 0x27, 0x72, 0x95,
0xE6, 0x1C, 0x65, 0x4F, 0x0B, 0xEF, 0x2F, 0x58,
0xDC, 0xE5, 0xC9, 0x62, 0xA1, 0x0B, 0x7D, 0xD7,
0x5F, 0x06, 0x01, 0x54, 0x65, 0xE5, 0x50, 0x76,
0xE4, 0x66, 0x26, 0x3E, 0xEB, 0xCA, 0xED, 0x20,
0xD2, 0xEB, 0xAB, 0x39, 0x31, 0x3E, 0x8B, 0xC5,
0x67, 0x32, 0x0F, 0xE8, 0xB2, 0xDC, 0x62, 0xB3 },
/* u */
512,
{ 0xB9, 0x9D, 0x7F, 0x8F, 0x4D, 0x4D, 0x45, 0x5F,
0x1F, 0xBA, 0x46, 0x2D, 0x99, 0x0A, 0x2E, 0x84,
0x8C, 0x42, 0x8C, 0x1E, 0xBE, 0xE0, 0x1D, 0xC0,
0x01, 0x84, 0xC8, 0xA7, 0x65, 0x83, 0xAD, 0x37,
0x9F, 0x69, 0xAD, 0xAF, 0x54, 0x75, 0x54, 0x30,
0xF6, 0x3C, 0x42, 0x53, 0xD1, 0xBB, 0x78, 0xCC,
0x9B, 0xD2, 0x32, 0x64, 0x34, 0x00, 0x80, 0xB8,
0x4C, 0x1A, 0x91, 0x7D, 0xE0, 0x8B, 0x6E, 0xDB },
/* exponent1 */
512,
{ 0xE7, 0x3A, 0xE0, 0x37, 0x7C, 0xB8, 0xB2, 0x56,
0x29, 0xAE, 0xAE, 0xBA, 0x0F, 0x97, 0x3E, 0xBF,
0x75, 0xA2, 0x2D, 0x27, 0x38, 0x5B, 0x4C, 0xFB,
0x11, 0xEB, 0x34, 0xAD, 0xA3, 0x73, 0xE5, 0xA6,
0x71, 0x28, 0x37, 0x50, 0x90, 0xE7, 0x00, 0x8D,
0xEE, 0xA8, 0xC7, 0x39, 0x07, 0xEA, 0x44, 0x44,
0xBA, 0xB4, 0x0D, 0xCE, 0xA1, 0x4A, 0xD7, 0xA1,
0xA8, 0x78, 0xD4, 0x92, 0x8D, 0xD1, 0x9D, 0x91 },
/* exponent2 */
511,
{ 0x41, 0x99, 0x79, 0x16, 0x16, 0x72, 0x21, 0x3E,
0x0A, 0xB7, 0xB9, 0x77, 0x37, 0xD9, 0x92, 0x89,
0x9E, 0x5C, 0x4D, 0x31, 0x06, 0xB8, 0x5E, 0x71,
0x5D, 0x1B, 0x3A, 0xAE, 0x84, 0x29, 0x62, 0xD2,
0x54, 0x4F, 0xB2, 0xAF, 0xA9, 0x80, 0x97, 0x4E,
0x53, 0x85, 0x12, 0xBD, 0x0C, 0x27, 0xCF, 0x48,
0xEA, 0x72, 0x17, 0xAA, 0xE0, 0x37, 0x74, 0x22,
0xC8, 0x20, 0x3D, 0x27, 0xFD, 0x45, 0x96, 0xE5 }
RSA-1024 key in encoded form:
Okay bestie, here's the first key in its raw PEM form πβ¨
-----BEGIN RSA PRIVATE KEY-----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-----END RSA PRIVATE KEY-----
Now the same key broken out into its parts, starting with testRSA2048 π
RSA-2048 key "testRSA2048":
/* n */
2048,
{ 0xB0, 0xF9, 0xE8, 0x19, 0x43, 0xA7, 0xAE, 0x98,
0x92, 0xAA, 0xDE, 0x17, 0xCA, 0x7C, 0x40, 0xF8,
0x74, 0x4F, 0xED, 0x2F, 0x81, 0x48, 0xE6, 0xC8,
0xEA, 0xA2, 0x7B, 0x7D, 0x00, 0x15, 0x48, 0xFB,
0x51, 0x92, 0xAB, 0x28, 0xB5, 0x6C, 0x50, 0x60,
0xB1, 0x18, 0xCC, 0xD1, 0x31, 0xE5, 0x94, 0x87,
0x4C, 0x6C, 0xA9, 0x89, 0xB5, 0x6C, 0x27, 0x29,
0x6F, 0x09, 0xFB, 0x93, 0xA0, 0x34, 0xDF, 0x32,
0xE9, 0x7C, 0x6F, 0xF0, 0x99, 0x8C, 0xFD, 0x8E,
0x6F, 0x42, 0xDD, 0xA5, 0x8A, 0xCD, 0x1F, 0xA9,
0x79, 0x86, 0xF1, 0x44, 0xF3, 0xD1, 0x54, 0xD6,
0x76, 0x50, 0x17, 0x5E, 0x68, 0x54, 0xB3, 0xA9,
0x52, 0x00, 0x3B, 0xC0, 0x68, 0x87, 0xB8, 0x45,
0x5A, 0xC2, 0xB1, 0x9F, 0x7B, 0x2F, 0x76, 0x50,
0x4E, 0xBC, 0x98, 0xEC, 0x94, 0x55, 0x71, 0xB0,
0x78, 0x92, 0x15, 0x0D, 0xDC, 0x6A, 0x74, 0xCA,
0x0F, 0xBC, 0xD3, 0x54, 0x97, 0xCE, 0x81, 0x53,
0x4D, 0xAF, 0x94, 0x18, 0x84, 0x4B, 0x13, 0xAE,
0xA3, 0x1F, 0x9D, 0x5A, 0x6B, 0x95, 0x57, 0xBB,
0xDF, 0x61, 0x9E, 0xFD, 0x4E, 0x88, 0x7F, 0x2D,
0x42, 0xB8, 0xDD, 0x8B, 0xC9, 0x87, 0xEA, 0xE1,
0xBF, 0x89, 0xCA, 0xB8, 0x5E, 0xE2, 0x1E, 0x35,
0x63, 0x05, 0xDF, 0x6C, 0x07, 0xA8, 0x83, 0x8E,
0x3E, 0xF4, 0x1C, 0x59, 0x5D, 0xCC, 0xE4, 0x3D,
0xAF, 0xC4, 0x91, 0x23, 0xEF, 0x4D, 0x8A, 0xBB,
0xA9, 0x3D, 0x39, 0x05, 0xE4, 0x02, 0x8D, 0x7B,
0xA9, 0x14, 0x84, 0xA2, 0x75, 0x96, 0xE0, 0x7B,
0x4B, 0x6E, 0xD9, 0x92, 0xF0, 0x77, 0xB5, 0x24,
0xD3, 0xDC, 0xFE, 0x7D, 0xDD, 0x55, 0x49, 0xBE,
0x7C, 0xCE, 0x8D, 0xA0, 0x35, 0xCF, 0xA0, 0xB3,
0xFB, 0x8F, 0x9E, 0x46, 0xF7, 0x32, 0xB2, 0xA8,
0x6B, 0x46, 0x01, 0x65, 0xC0, 0x8F, 0x53, 0x13 },
/* e */
17,
{ 0x01, 0x00, 0x01 },
/* d */
2047,
{ 0x41, 0x18, 0x8B, 0x20, 0xCF, 0xDB, 0xDB, 0xC2,
0xCF, 0x1F, 0xFE, 0x75, 0x2D, 0xCB, 0xAA, 0x72,
0x39, 0x06, 0x35, 0x2E, 0x26, 0x15, 0xD4, 0x9D,
0xCE, 0x80, 0x59, 0x7F, 0xCF, 0x0A, 0x05, 0x40,
0x3B, 0xEF, 0x00, 0xFA, 0x06, 0x51, 0x82, 0xF7,
0x2D, 0xEC, 0xFB, 0x59, 0x6F, 0x4B, 0x0C, 0xE8,
0xFF, 0x59, 0x70, 0xBA, 0xF0, 0x7A, 0x89, 0xA5,
0x19, 0xEC, 0xC8, 0x16, 0xB2, 0xF4, 0xFF, 0xAC,
0x50, 0x69, 0xAF, 0x1B, 0x06, 0xBF, 0xEF, 0x7B,
0xF6, 0xBC, 0xD7, 0x9E, 0x4E, 0x81, 0xC8, 0xC5,
0xA3, 0xA7, 0xD9, 0x13, 0x0D, 0xC3, 0xCF, 0xBA,
0xDA, 0xE5, 0xF6, 0xD2, 0x88, 0xF9, 0xAE, 0xE3,
0xF6, 0xFF, 0x92, 0xFA, 0xE0, 0xF8, 0x1A, 0xF5,
0x97, 0xBE, 0xC9, 0x6A, 0xE9, 0xFA, 0xB9, 0x40,
0x2C, 0xD5, 0xFE, 0x41, 0xF7, 0x05, 0xBE, 0xBD,
0xB4, 0x7B, 0xB7, 0x36, 0xD3, 0xFE, 0x6C, 0x5A,
0x51, 0xE0, 0xE2, 0x07, 0x32, 0xA9, 0x7B, 0x5E,
0x46, 0xC1, 0xCB, 0xDB, 0x26, 0xD7, 0x48, 0x54,
0xC6, 0xB6, 0x60, 0x4A, 0xED, 0x46, 0x37, 0x35,
0xFF, 0x90, 0x76, 0x04, 0x65, 0x57, 0xCA, 0xF9,
0x49, 0xBF, 0x44, 0x88, 0x95, 0xC2, 0x04, 0x32,
0xC1, 0xE0, 0x9C, 0x01, 0x4E, 0xA7, 0x56, 0x60,
0x43, 0x4F, 0x1A, 0x0F, 0x3B, 0xE2, 0x94, 0xBA,
0xBC, 0x5D, 0x53, 0x0E, 0x6A, 0x10, 0x21, 0x3F,
0x53, 0xB6, 0x03, 0x75, 0xFC, 0x84, 0xA7, 0x57,
0x3F, 0x2A, 0xF1, 0x21, 0x55, 0x84, 0xF5, 0xB4,
0xBD, 0xA6, 0xD4, 0xE8, 0xF9, 0xE1, 0x7A, 0x78,
0xD9, 0x7E, 0x77, 0xB8, 0x6D, 0xA4, 0xA1, 0x84,
0x64, 0x75, 0x31, 0x8A, 0x7A, 0x10, 0xA5, 0x61,
0x01, 0x4E, 0xFF, 0xA2, 0x3A, 0x81, 0xEC, 0x56,
0xE9, 0xE4, 0x10, 0x9D, 0xEF, 0x8C, 0xB3, 0xF7,
0x97, 0x22, 0x3F, 0x7D, 0x8D, 0x0D, 0x43, 0x51 },
/* p */
1024,
{ 0xDD, 0x10, 0x57, 0x02, 0x38, 0x2F, 0x23, 0x2B,
0x36, 0x81, 0xF5, 0x37, 0x91, 0xE2, 0x26, 0x17,
0xC7, 0xBF, 0x4E, 0x9A, 0xCB, 0x81, 0xED, 0x48,
0xDA, 0xF6, 0xD6, 0x99, 0x5D, 0xA3, 0xEA, 0xB6,
0x42, 0x83, 0x9A, 0xFF, 0x01, 0x2D, 0x2E, 0xA6,
0x28, 0xB9, 0x0A, 0xF2, 0x79, 0xFD, 0x3E, 0x6F,
0x7C, 0x93, 0xCD, 0x80, 0xF0, 0x72, 0xF0, 0x1F,
0xF2, 0x44, 0x3B, 0x3E, 0xE8, 0xF2, 0x4E, 0xD4,
0x69, 0xA7, 0x96, 0x13, 0xA4, 0x1B, 0xD2, 0x40,
0x20, 0xF9, 0x2F, 0xD1, 0x10, 0x59, 0xBD, 0x1D,
0x0F, 0x30, 0x1B, 0x5B, 0xA7, 0xA9, 0xD3, 0x63,
0x7C, 0xA8, 0xD6, 0x5C, 0x1A, 0x98, 0x15, 0x41,
0x7D, 0x8E, 0xAB, 0x73, 0x4B, 0x0B, 0x4F, 0x3A,
0x2C, 0x66, 0x1D, 0x9A, 0x1A, 0x82, 0xF3, 0xAC,
0x73, 0x4C, 0x40, 0x53, 0x06, 0x69, 0xAB, 0x8E,
0x47, 0x30, 0x45, 0xA5, 0x8E, 0x65, 0x53, 0x9D },
/* q */
1024,
{ 0xCC, 0xF1, 0xE5, 0xBB, 0x90, 0xC8, 0xE9, 0x78,
0x1E, 0xA7, 0x5B, 0xEB, 0xF1, 0x0B, 0xC2, 0x52,
0xE1, 0x1E, 0xB0, 0x23, 0xA0, 0x26, 0x0F, 0x18,
0x87, 0x55, 0x2A, 0x56, 0x86, 0x3F, 0x4A, 0x64,
0x21, 0xE8, 0xC6, 0x00, 0xBF, 0x52, 0x3D, 0x6C,
0xB1, 0xB0, 0xAD, 0xBD, 0xD6, 0x5B, 0xFE, 0xE4,
0xA8, 0x8A, 0x03, 0x7E, 0x3D, 0x1A, 0x41, 0x5E,
0x5B, 0xB9, 0x56, 0x48, 0xDA, 0x5A, 0x0C, 0xA2,
0x6B, 0x54, 0xF4, 0xA6, 0x39, 0x48, 0x52, 0x2C,
0x3D, 0x5F, 0x89, 0xB9, 0x4A, 0x72, 0xEF, 0xFF,
0x95, 0x13, 0x4D, 0x59, 0x40, 0xCE, 0x45, 0x75,
0x8F, 0x30, 0x89, 0x80, 0x90, 0x89, 0x56, 0x58,
0x8E, 0xEF, 0x57, 0x5B, 0x3E, 0x4B, 0xC4, 0xC3,
0x68, 0xCF, 0xE8, 0x13, 0xEE, 0x9C, 0x25, 0x2C,
0x2B, 0x02, 0xE0, 0xDF, 0x91, 0xF1, 0xAA, 0x01,
0x93, 0x8D, 0x38, 0x68, 0x5D, 0x60, 0xBA, 0x6F },
/* u */
1020,
{ 0x0A, 0x81, 0xD8, 0xA6, 0x18, 0x31, 0x4A, 0x80,
0x3A, 0xF6, 0x1C, 0x06, 0x71, 0x1F, 0x2C, 0x39,
0xB2, 0x66, 0xFF, 0x41, 0x4D, 0x53, 0x47, 0x6D,
0x1D, 0xA5, 0x2A, 0x43, 0x18, 0xAA, 0xFE, 0x4B,
0x96, 0xF0, 0xDA, 0x07, 0x15, 0x5F, 0x8A, 0x51,
0x34, 0xDA, 0xB8, 0x8E, 0xE2, 0x9E, 0x81, 0x68,
0x07, 0x6F, 0xCD, 0x78, 0xCA, 0x79, 0x1A, 0xC6,
0x34, 0x42, 0xA8, 0x1C, 0xD0, 0x69, 0x39, 0x27,
0xD8, 0x08, 0xE3, 0x35, 0xE8, 0xD8, 0xCB, 0xF2,
0x12, 0x19, 0x07, 0x50, 0x9A, 0x57, 0x75, 0x9B,
0x4F, 0x9A, 0x18, 0xFA, 0x3A, 0x7B, 0x33, 0x37,
0x79, 0xED, 0xDE, 0x7A, 0x45, 0x93, 0x84, 0xF8,
0x44, 0x4A, 0xDA, 0xEC, 0xFF, 0xEC, 0x95, 0xFD,
0x55, 0x2B, 0x0C, 0xFC, 0xB6, 0xC7, 0xF6, 0x92,
0x62, 0x6D, 0xDE, 0x1E, 0xF2, 0x68, 0xA4, 0x0D,
0x2F, 0x67, 0xB5, 0xC8, 0xAA, 0x38, 0x7F, 0xF7 },
/* exponent1 */
1020,
{ 0x09, 0xED, 0x54, 0xEA, 0xED, 0x98, 0xF8, 0x4C,
0x55, 0x7B, 0x4A, 0x86, 0xBF, 0x4F, 0x57, 0x84,
0x93, 0xDC, 0xBC, 0x6B, 0xE9, 0x1D, 0xA1, 0x89,
0x37, 0x04, 0x04, 0xA9, 0x08, 0x72, 0x76, 0xF4,
0xCE, 0x51, 0xD8, 0xA1, 0x00, 0xED, 0x85, 0x7D,
0xC2, 0xB0, 0x64, 0x94, 0x74, 0xF3, 0xF1, 0x5C,
0xD2, 0x4C, 0x54, 0xDB, 0x28, 0x71, 0x10, 0xE5,
0x6E, 0x5C, 0xB0, 0x08, 0x68, 0x2F, 0x91, 0x68,
0xAA, 0x81, 0xF3, 0x14, 0x58, 0xB7, 0x43, 0x1E,
0xCC, 0x1C, 0x44, 0x90, 0x6F, 0xDA, 0x87, 0xCA,
0x89, 0x47, 0x10, 0xC3, 0x71, 0xE9, 0x07, 0x6C,
0x1D, 0x49, 0xFB, 0xAE, 0x51, 0x27, 0x69, 0x34,
0xF2, 0xAD, 0x78, 0x77, 0x89, 0xF4, 0x2D, 0x0F,
0xA0, 0xB4, 0xC9, 0x39, 0x85, 0x5D, 0x42, 0x12,
0x09, 0x6F, 0x70, 0x28, 0x0A, 0x4E, 0xAE, 0x7C,
0x8A, 0x27, 0xD9, 0xC8, 0xD0, 0x77, 0x2E, 0x65 },
/* exponent2 */
1024,
{ 0x8C, 0xB6, 0x85, 0x7A, 0x7B, 0xD5, 0x46, 0x5F,
0x80, 0x04, 0x7E, 0x9B, 0x87, 0xBC, 0x00, 0x27,
0x31, 0x84, 0x05, 0x81, 0xE0, 0x62, 0x61, 0x39,
0x01, 0x2A, 0x5B, 0x50, 0x5F, 0x0A, 0x33, 0x84,
0x7E, 0xB7, 0xB8, 0xC3, 0x28, 0x99, 0x49, 0xAD,
0x48, 0x6F, 0x3B, 0x4B, 0x3D, 0x53, 0x9A, 0xB5,
0xDA, 0x76, 0x30, 0x21, 0xCB, 0xC8, 0x2C, 0x1B,
0xA2, 0x34, 0xA5, 0x66, 0x8D, 0xED, 0x08, 0x01,
0xB8, 0x59, 0xF3, 0x43, 0xF1, 0xCE, 0x93, 0x04,
0xE6, 0xFA, 0xA2, 0xB0, 0x02, 0xCA, 0xD9, 0xB7,
0x8C, 0xDE, 0x5C, 0xDC, 0x2C, 0x1F, 0xB4, 0x17,
0x1C, 0x42, 0x42, 0x16, 0x70, 0xA6, 0xAB, 0x0F,
0x50, 0xCC, 0x4A, 0x19, 0x4E, 0xB3, 0x6D, 0x1C,
0x91, 0xE9, 0x35, 0xBA, 0x01, 0xB9, 0x59, 0xD8,
0x72, 0x8B, 0x9E, 0x64, 0x42, 0x6B, 0x3F, 0xC3,
0xA7, 0x50, 0x6D, 0xEB, 0x52, 0x39, 0xA8, 0xA7 }
And here's the encoded form of that same RSA-2048 key, for the stans of base64 ππ§
RSA-2048 key in encoded form:
-----BEGIN RSA PRIVATE KEY-----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-----END RSA PRIVATE KEY-----
Next up is the RSA-4096 key, testRSA4096 π¦
/* n / 4096, { 0xB3, 0x8B, 0x49, 0x60, 0xE6, 0x3B, 0xE6, 0xA8, 0xDB, 0xA8, 0x9A, 0x82, 0x97, 0x8E, 0xF1, 0xF6, 0x32, 0x44, 0xE5, 0x57, 0x7D, 0x8C, 0xF5, 0x86, 0x16, 0xD5, 0xCA, 0x57, 0x59, 0xD4, 0x9C, 0xC8, 0xD9, 0x36, 0xC3, 0x38, 0xAA, 0x3C, 0xB9, 0xB1, 0x11, 0xC1, 0x49, 0x7E, 0x5B, 0x51, 0xAF, 0x69, 0x2F, 0x26, 0x11, 0xE6, 0x89, 0xF7, 0x67, 0x54, 0x80, 0xC0, 0xB0, 0xF4, 0xC3, 0x65, 0x4F, 0x43, 0xAF, 0x85, 0xFE, 0x8C, 0x8A, 0xD7, 0x34, 0xE0, 0x42, 0xA8, 0xAD, 0xA0, 0x5F, 0xD7, 0x65, 0x08, 0xE0, 0x0B, 0xA0, 0xF7, 0x56, 0xC3, 0x44, 0x3B, 0xBE, 0x83, 0x3E, 0xA7, 0xD1, 0x00, 0xD4, 0xFB, 0x36, 0x7E, 0xEB, 0xD6, 0x0B, 0xDB, 0x64, 0x86, 0x77, 0xFC, 0x7D, 0xEB, 0x94, 0x24, 0x4D, 0xAD, 0x1A, 0xF8, 0xEE, 0xD1, 0xC6, 0x58, 0x12, 0xC0, 0x3E, 0x7C, 0x73, 0xF7, 0xF3, 0x58, 0xE9, 0x41, 0xBC, 0x66, 0x45, 0x8F, 0xF7, 0xBB, 0x97, 0xA4, 0x9A, 0x98, 0xA1, 0x18, 0x07, 0xE0, 0x2C, 0x1A, 0x3B, 0x9A, 0xD3, 0x3A, 0x57, 0x3A, 0xE1, 0x80, 0xE1, 0xFF, 0x43, 0x2A, 0xE5, 0x58, 0x0C, 0xC9, 0xCA, 0xBF, 0xAB, 0x60, 0x2F, 0x32, 0x5B, 0xCD, 0xA0, 0x97, 0xE8, 0x7B, 0xC7, 0xA6, 0xD7, 0x4E, 0x34, 0xA8, 0x7D, 0x60, 0x8A, 0x43, 0xFE, 0xB2, 0xE4, 0xFF, 0xF1, 0xF4, 0xB8, 0xE7, 0x68, 0x6A, 0x98, 0x47, 0x5D, 0xB5, 0x1A, 0x6E, 0xBD, 0x08, 0x17, 0x2A, 0x57, 0x41, 0x77, 0x49, 0x24, 0x8B, 0x21, 0x55, 0xC8, 0xB9, 0x06, 0xE0, 0xD5, 0x40, 0xE8, 0xCB, 0x28, 0xF4, 0xC0, 0x0A, 0xDC, 0x9F, 0xE4, 0x75, 0x8A, 0x1A, 0xC3, 0x64, 0xAB, 0x39, 0xE4, 0xE1, 0x55, 0x28, 0x98, 0x54, 0x44, 0x15, 0x3F, 0xEE, 0xC6, 0xAD, 0x4C, 0x53, 0x48, 0xB2, 0xE3, 0x8F, 0xF5, 0x50, 0xF5, 0xFA, 0x58, 0x33, 0x97, 0x93, 0x37, 0x30, 0xC8, 0x08, 0x81, 0xBF, 0x11, 0xEE, 0xE8, 0xFE, 0x38, 0x6D, 0x5B, 0x51, 0x28, 0x49, 0xA9, 0x83, 0x99, 0x43, 0xAB, 0xF3, 0xD9, 0x72, 0x20, 0x76, 0x97, 0xB8, 0xEC, 0x24, 0x11, 0xA2, 0x61, 0x9D, 0x55, 0xCA, 0x04, 0x23, 0x3C, 0x5A, 0x2C, 0xED, 0xC6, 0xF2, 0x86, 0xD8, 0x29, 0xD0, 0xE8, 0x37, 0x20, 0x7B, 0x76, 0x52, 0x9A, 0xA2, 0x44, 0x87, 0x21, 0x26, 0x8D, 0xC0, 0x15, 0x0B, 0xB7, 0xB0, 0x7E, 0x73, 0x31, 0x3A, 0x71, 0x3E, 0x58, 0x95, 0xBA, 0xAF, 0x3A, 0xDF, 0xFA, 0x60, 0x39, 0x58, 0xC5, 0x67, 0xF8, 0x5C, 0xF2, 0x5B, 0x1D, 0x80, 0xA2, 0x77, 0x56, 0xA3, 0x0D, 0x1A, 0x50, 0xA1, 0xE4, 0x69, 0x8E, 0xDA, 0x9A, 0x12, 0x2B, 0xB0, 0xAA, 0x7A, 0x60, 0xF7, 0xCD, 0x22, 0x6C, 0xB1, 0x16, 0x5C, 0xFC, 0xF9, 0xCA, 0x83, 0x0A, 0x60, 0x6C, 0xC0, 0xFB, 0x14, 0x87, 0xF2, 0x49, 0xE5, 0xE0, 0xC7, 0x1C, 0x88, 0x62, 0x6C, 0x57, 0x12, 0x80, 0x81, 0xDE, 0x76, 0xC1, 0x23, 0x84, 0xB6, 0xD4, 0x48, 0xB6, 0x7F, 0x0E, 0x71, 0x23, 0xAE, 0xEF, 0x74, 0xA8, 0x85, 0x96, 0x03, 0x74, 0x75, 0x54, 0x83, 0xF2, 0x90, 0xA7, 0xDE, 0x66, 0x46, 0x5E, 0x22, 0x7B, 0x2B, 0x17, 0x31, 0x8F, 0x8A, 0x49, 0x05, 0x2B, 0x01, 0x45, 0xFB, 0xA2, 0x83, 0x77, 0x2B, 0xC2, 0x9A, 0x5B, 0x58, 0x12, 0xAC, 0xCE, 0xE3, 0xAB, 0x62, 0x81, 0x70, 0x19, 0xE5, 0x48, 0x07, 0xF2, 0x88, 0x97, 0x12, 0xB7, 0xB8, 0xF3, 0x03, 0xBA, 0x5F, 0xE1, 0x47, 0xF9, 0xC2, 0xF3, 0x43, 0x4A, 0xB7, 0x03, 0xC1, 0xD9, 0x46, 0x73, 0x43, 0x82, 0xA0, 0xA3, 0x53, 0xF4, 0xE0, 0xCB, 0xBE, 0xA2, 0x6A, 0x4B, 0xBF, 0x21, 0xCE, 0x9E, 0xB5, 0xE7, 0x9D, 0x47, 0x57, 0xD7, 0xDE, 0x02, 0x7F, 0x20, 0xE5 }, / e / 17, { 0x01, 0x00, 0x01 }, / d / 4095, { 0x6A, 0xD1, 0xB0, 0xBB, 0x7C, 0xDF, 0x20, 0x91, 0x4F, 0xF6, 0x94, 0xCE, 0xA3, 0x7B, 0x01, 0x4B, 0xD7, 0x86, 0x93, 0xE8, 0x24, 0xA3, 0x4B, 0xA4, 0x16, 0x4B, 0xE5, 0xD1, 0x68, 0x79, 0x8D, 0x3A, 0x15, 0xB9, 0x76, 0x16, 0x6D, 0x7A, 0x29, 0x84, 0x46, 0xAA, 0xF7, 0x9D, 0xBC, 0x98, 0xF1, 0xC2, 0xA3, 0xB1, 0x83, 0xAE, 0xE4, 0x60, 0x94, 0x52, 0x7B, 0x33, 0xA9, 0x54, 0x46, 0x38, 0x2D, 0x1B, 0x78, 0xFF, 0x40, 0x7D, 0xBF, 0x50, 0xE0, 0x7D, 0x98, 0x4B, 0x20, 0xD9, 0xAC, 0x8B, 0xCA, 0xE9, 0xA7, 0xDA, 0x63, 0x4F, 0x24, 0x88, 0x92, 0x3C, 0xF5, 0x50, 0xC2, 0x63, 0x37, 0x7E, 0xC6, 0x38, 0x1B, 0xA9, 0x11, 0x88, 0xCC, 0x8F, 0x1F, 0xD4, 0xBC, 0xE8, 0x34, 0xC6, 0x86, 0xE1, 0xBE, 0x71, 0x01, 0xFE, 0x1E, 0xA0, 0x21, 0xE0, 0x5E, 0x6F, 0x8F, 0xFD, 0x9D, 0x45, 0x64, 0xBB, 0x7E, 0x33, 0x84, 0xF2, 0x57, 0xEA, 0x9A, 0x9A, 0x3A, 0x53, 0x4D, 0x43, 0x07, 0x7C, 0xF3, 0x9A, 0x94, 0xC2, 0x9A, 0xB9, 0xB7, 0x78, 0x1B, 0x53, 0xC5, 0xBC, 0x57, 0x38, 0xF6, 0x6E, 0x3B, 0xFA, 0xD1, 0xC8, 0xF0, 0xDE, 0x6E, 0x08, 0x90, 0xAB, 0xE6, 0x60, 0x85, 0x6E, 0x3B, 0x7C, 0x01, 0x41, 0xAB, 0x11, 0x35, 0x55, 0x15, 0x1A, 0xED, 0xC8, 0x1C, 0x6D, 0xB4, 0xBE, 0xED, 0xE6, 0x0A, 0x68, 0x6B, 0x00, 0x18, 0x4F, 0x45, 0x5A, 0x2D, 0x3A, 0xBB, 0x2E, 0x68, 0x11, 0xE1, 0xCD, 0xEA, 0x39, 0x53, 0x0B, 0x8F, 0xAE, 0xA8, 0xF8, 0x24, 0x36, 0x79, 0xC9, 0xDF, 0x76, 0x97, 0x8C, 0x5E, 0x01, 0x58, 0x57, 0xAC, 0xA5, 0x9D, 0x9F, 0xE4, 0xA6, 0x2D, 0x15, 0x09, 0xAE, 0x62, 0x6A, 0xFF, 0x8E, 0x0A, 0xDF, 0x95, 0xA4, 0xEB, 0x01, 0x49, 0xCA, 0xB7, 0x12, 0xEF, 0x3E, 0xC3, 0xD6, 0x02, 0x32, 0x8A, 0x6C, 0x50, 0x21, 0xBA, 0x1B, 0x35, 0xB8, 0x58, 0x3D, 0x9A, 0x90, 0x40, 0x55, 0x03, 0xF5, 0xFA, 0x0F, 0x42, 0x4C, 0x72, 0x86, 0x23, 0xFC, 0x81, 0xD3, 0xDD, 0x7B, 0xFF, 0x1B, 0xF7, 0x8C, 0x8E, 0x2E, 0xBD, 0x03, 0xA5, 0x11, 0x2D, 0xEB, 0x65, 0x89, 0x98, 0x6E, 0x49, 0xBD, 0x30, 0x07, 0x1A, 0xD8, 0x41, 0xA3, 0xCC, 0xA8, 0x07, 0x6C, 0xCF, 0xC7, 0x94, 0x63, 0x30, 0xB1, 0xFD, 0x1C, 0x21, 0x2A, 0xD3, 0xEB, 0xD3, 0x7D, 0x9A, 0x4D, 0x0A, 0x96, 0x95, 0xB8, 0x16, 0x8A, 0x08, 0x89, 0x32, 0x7D, 0x52, 0x6F, 0x16, 0xD1, 0x56, 0x37, 0xFA, 0x9D, 0xBF, 0x04, 0xB0, 0xB8, 0x3D, 0xD8, 0xB5, 0xC4, 0x05, 0x2D, 0xC5, 0x38, 0xB6, 0xCA, 0xE9, 0xC9, 0x2E, 0xC9, 0x70, 0x10, 0x7A, 0x2F, 0x1E, 0xE4, 0xD4, 0x7A, 0x65, 0xCC, 0xA5, 0xB9, 0x59, 0x6E, 0x42, 0x74, 0x91, 0x9B, 0xE7, 0xD1, 0xEC, 0x90, 0xE4, 0x50, 0xFE, 0x58, 0x58, 0xDC, 0x2E, 0x01, 0xE8, 0x4E, 0xBD, 0x92, 0x07, 0xD8, 0xEA, 0x20, 0xFA, 0x37, 0x14, 0x0E, 0x89, 0xD0, 0x10, 0xD6, 0x50, 0x1F, 0x22, 0x61, 0x97, 0x18, 0x04, 0xDE, 0x73, 0x68, 0x0F, 0xE6, 0x1C, 0x23, 0x5C, 0x8F, 0x4E, 0x63, 0x1F, 0xF0, 0x6D, 0xBD, 0xEE, 0x66, 0x6D, 0xBB, 0x9A, 0xFB, 0xFD, 0xA3, 0xB9, 0x71, 0xC3, 0x29, 0x0D, 0x7B, 0xDE, 0xF5, 0xC5, 0x78, 0x5A, 0x07, 0x1B, 0xE9, 0x4A, 0xE1, 0x8A, 0x0B, 0x2E, 0xD8, 0xAE, 0x67, 0x9A, 0xBA, 0xA6, 0x10, 0x85, 0x28, 0xA8, 0x5E, 0x31, 0x7F, 0x87, 0xA8, 0x99, 0xC5, 0x89, 0xF4, 0xA8, 0xAD, 0x42, 0x90, 0xA6, 0xCA, 0x1E, 0xF9, 0xF1, 0x4D, 0x8D, 0x0A, 0x7A, 0x66, 0xDC, 0x75, 0x0B, 0x69, 0xB1, 0x9C, 0xB2, 0x58, 0x28, 0xC3, 0xEA, 0xF0, 0x42, 0x21, 0x5C, 0x09, 0xAA, 0xD4, 0xA9, 0x54, 0xE8, 0x55 }, / p / 2048, { 0xE0, 0x41, 0xBD, 0xF1, 0xC9, 0xB5, 0x69, 0xAC, 0xF5, 0xE8, 0x02, 0x2D, 0x21, 0x1B, 0x87, 0x1B, 0x5F, 0x29, 0x21, 0x41, 0xA5, 0x89, 0xFD, 0x0F, 0x6D, 0xCB, 0x59, 0x47, 0x6B, 0x1C, 0x1D, 0xA4, 0x01, 0x8D, 0xD7, 0xA1, 0xE1, 0x08, 0x39, 0x32, 0x74, 0x5E, 0xF3, 0xC6, 0x6C, 0xF7, 0xFF, 0x31, 0x3E, 0xED, 0x4C, 0xB1, 0x68, 0x1D, 0xEF, 0x9D, 0x29, 0xCC, 0x3F, 0xE8, 0x7A, 0xF7, 0xAD, 0x19, 0xE9, 0xEF, 0x34, 0x56, 0x62, 0xC9, 0xC4, 0xF4, 0xE6, 0xE7, 0x07, 0xAA, 0x4E, 0x99, 0x49, 0x63, 0x4C, 0x08, 0x64, 0x71, 0xA5, 0x5B, 0x67, 0x46, 0xC2, 0xAE, 0xEF, 0x87, 0x71, 0xEF, 0x21, 0xA2, 0xEE, 0x8A, 0xB4, 0xDE, 0xC4, 0xC2, 0x04, 0x3C, 0x70, 0xCF, 0xBA, 0x89, 0xE5, 0xEB, 0x2F, 0x62, 0xEA, 0x07, 0xC7, 0x4B, 0xD4, 0x16, 0x67, 0x69, 0x12, 0xA9, 0x58, 0x9F, 0xB3, 0xED, 0x70, 0x28, 0x8F, 0x8A, 0x03, 0xD1, 0x91, 0xC5, 0x8A, 0x88, 0x96, 0xE8, 0xB2, 0x0F, 0x1E, 0xDE, 0x91, 0x80, 0xCE, 0xD3, 0x03, 0x59, 0xF7, 0x5F, 0x48, 0xAF, 0xE9, 0x7C, 0x46, 0xEE, 0x59, 0xC9, 0x27, 0x1E, 0x71, 0x37, 0x55, 0x4A, 0xD7, 0x05, 0x56, 0x17, 0x84, 0x8F, 0xD3, 0x04, 0x1C, 0xD6, 0x30, 0x47, 0xF6, 0x46, 0x2C, 0x0E, 0x66, 0xE1, 0x83, 0x9F, 0x63, 0xC6, 0x12, 0xD4, 0xA3, 0x57, 0xF5, 0xE5, 0x76, 0x35, 0x6A, 0xAA, 0xE7, 0xC6, 0x4A, 0xC0, 0xBF, 0xD9, 0xD6, 0x5E, 0xDF, 0x4B, 0x2F, 0x34, 0xDA, 0xDB, 0xDF, 0x69, 0x06, 0x20, 0xC8, 0x95, 0xCA, 0x44, 0xD9, 0x61, 0xDA, 0x05, 0xB1, 0x36, 0x2B, 0x4A, 0xD5, 0xDA, 0xAC, 0xB9, 0x0F, 0xF5, 0x86, 0x33, 0x5E, 0xCD, 0x7E, 0x1D, 0x7A, 0x16, 0x00, 0xCB, 0x1A, 0xB3, 0x72, 0x69, 0x5B, 0x6E, 0xC7, 0x71, 0x76, 0x21, 0xDB, 0xBE, 0x93, 0x57 }, / q / 2048, { 0xCC, 0xF5, 0x51, 0x29, 0xD3, 0xB9, 0x24, 0xC8, 0x38, 0xA7, 0x6C, 0xD3, 0x69, 0xD4, 0x6E, 0x9C, 0xB8, 0x13, 0xFE, 0x3B, 0x39, 0xBA, 0xF1, 0xEB, 0x10, 0x18, 0x47, 0xD3, 0x1D, 0x09, 0x13, 0x50, 0x03, 0xAB, 0x2F, 0xC2, 0x39, 0x43, 0x1C, 0xDA, 0x6E, 0x99, 0x08, 0x88, 0x3D, 0xE8, 0xA0, 0x54, 0x6E, 0x35, 0x28, 0x37, 0xD4, 0xEB, 0x95, 0xCB, 0x41, 0xD8, 0xEE, 0xC1, 0x4A, 0x66, 0xCD, 0x38, 0xC2, 0x24, 0x7E, 0x82, 0xA3, 0x94, 0x39, 0x29, 0x27, 0xBB, 0xF5, 0x70, 0xA8, 0x65, 0x5E, 0x0F, 0x2A, 0xC2, 0x43, 0xE5, 0xFB, 0x87, 0x6F, 0xD2, 0x0B, 0x48, 0x76, 0x73, 0xA2, 0x77, 0x2D, 0xA9, 0x70, 0xC1, 0xDF, 0x47, 0xA3, 0x2D, 0xEA, 0x8A, 0x75, 0xE7, 0x09, 0x54, 0x73, 0x22, 0x9C, 0x69, 0x3C, 0x88, 0x6A, 0x31, 0x6D, 0x2C, 0xEC, 0xBF, 0x03, 0x59, 0x7B, 0x04, 0xCA, 0x9E, 0xCA, 0xBD, 0xA3, 0x36, 0x6E, 0x07, 0x64, 0x88, 0x05, 0x9B, 0x24, 0x59, 0x6F, 0x5D, 0xF6, 0xE8, 0x56, 0x97, 0xDB, 0xE6, 0x2A, 0xB2, 0xF8, 0xCC, 0x71, 0xAC, 0x7F, 0x74, 0x3B, 0x64, 0x12, 0x6D, 0x01, 0xF2, 0xB3, 0x61, 0x27, 0x16, 0xEC, 0xA7, 0x69, 0x75, 0xE5, 0x14, 0xED, 0x4D, 0x78, 0xA3, 0x22, 0x90, 0xBE, 0x0A, 0x82, 0xF1, 0x44, 0x14, 0x99, 0x2B, 0xD1, 0x80, 0x3D, 0xAD, 0xC9, 0x83, 0xDD, 0xF2, 0x76, 0xD2, 0xCA, 0xE1, 0xA0, 0xA9, 0x03, 0xF9, 0x1E, 0x78, 0xBE, 0x3C, 0x0B, 0xCA, 0xF5, 0x8F, 0x3C, 0xE9, 0x8D, 0x12, 0x3A, 0xA6, 0xC8, 0x5F, 0x65, 0x51, 0xC5, 0x70, 0x07, 0xFE, 0x47, 0x7A, 0xC8, 0x7E, 0x03, 0x8B, 0x9A, 0x94, 0xAC, 0xC6, 0x20, 0xDE, 0x12, 0x25, 0x81, 0x05, 0x34, 0x4A, 0x0C, 0xFB, 0x37, 0x65, 0x50, 0x5E, 0x8E, 0x7E, 0xC8, 0x6A, 0xC0, 0x86, 0xF6, 0x55, 0x64, 0x23 }, / u */ 2048,
{ 0xD1, 0x0C, 0x91, 0x8D, 0xA9, 0xF2, 0x6D, 0xA9,
0x4D, 0xFF, 0x3B, 0x09, 0x24, 0x3C, 0x8C, 0xC3,
0xD4, 0x39, 0x02, 0x6D, 0xE6, 0x2B, 0x9E, 0x9F,
0x37, 0xAC, 0x60, 0xBB, 0xD7, 0xA9, 0x52, 0xCB,
0x07, 0x84, 0x94, 0xBD, 0x73, 0x7E, 0xCC, 0x3A,
0x65, 0x0C, 0x93, 0xC4, 0x2E, 0xD7, 0xF6, 0x49,
0x02, 0x07, 0xAE, 0x99, 0x6B, 0x3C, 0xD1, 0xFF,
0x1F, 0x4D, 0x63, 0x9D, 0x61, 0xDD, 0xD1, 0xE7,
0x12, 0x8D, 0x56, 0x3C, 0x1C, 0x16, 0xC8, 0xB3,
0x9D, 0x94, 0xD5, 0xDE, 0x5E, 0x93, 0x7F, 0xE6,
0x5A, 0x38, 0xB8, 0x19, 0xE4, 0x69, 0xF8, 0x8C,
0x3C, 0xE0, 0x25, 0x21, 0xE2, 0xAD, 0xA9, 0xE3,
0x46, 0xE6, 0xA1, 0xBD, 0x51, 0x27, 0xC7, 0xBD,
0xB2, 0x1D, 0xA2, 0xC6, 0x11, 0xE3, 0x5F, 0x6C,
0x89, 0xE7, 0xDD, 0x66, 0xA0, 0x66, 0xCB, 0x23,
0x3E, 0xF9, 0x6B, 0xAD, 0x1A, 0xD3, 0x99, 0x94,
0x0C, 0xAD, 0x05, 0x5A, 0xDF, 0x5C, 0x58, 0x79,
0xF8, 0x30, 0xA8, 0x08, 0x3C, 0xA6, 0xD6, 0xC0,
0x58, 0x58, 0xC2, 0x66, 0x03, 0x0A, 0x33, 0xBF,
0xB4, 0xAD, 0x83, 0xB5, 0xCC, 0x92, 0x9F, 0x2F,
0x6C, 0xA2, 0x1E, 0x50, 0x29, 0x54, 0x2B, 0x8A,
0xEB, 0xE7, 0x6B, 0x69, 0x44, 0xE1, 0x86, 0x3E,
0x39, 0x47, 0x3B, 0x6E, 0xD9, 0xAD, 0x92, 0x6A,
0x7D, 0xBF, 0xE2, 0xC7, 0x28, 0xE2, 0x3C, 0x74,
0xF6, 0x9B, 0xB0, 0xE0, 0x54, 0xF1, 0x9F, 0x14,
0x6C, 0xE1, 0x9E, 0x1D, 0x23, 0x6B, 0x65, 0x34,
0x30, 0xA7, 0x1D, 0xC4, 0xA7, 0x4A, 0xE2, 0x0E,
0x0D, 0x14, 0x13, 0x31, 0x66, 0xA1, 0x8A, 0xDF,
0x6E, 0xF7, 0xFE, 0xD9, 0x5C, 0xC4, 0x64, 0x35,
0xFF, 0x4C, 0x96, 0x23, 0x2B, 0xD5, 0x64, 0x03,
0xCC, 0x39, 0xFB, 0x16, 0xAD, 0xF2, 0x24, 0xB4,
0xFD, 0xEB, 0x8A, 0xBA, 0xF4, 0x91, 0x31, 0xBF },
/* exponent1 */
2046,
{ 0x2F, 0x7C, 0x1C, 0x31, 0x37, 0x69, 0xCF, 0x6F,
0x8D, 0x3E, 0x4C, 0x3F, 0xAC, 0x13, 0xFD, 0x1E,
0xC1, 0x9E, 0x9E, 0xE9, 0x1C, 0x99, 0x44, 0x59,
0x61, 0x01, 0x3E, 0xED, 0x4D, 0x73, 0xCD, 0x9E,
0xED, 0xA9, 0x50, 0x30, 0x79, 0xCA, 0xD8, 0xF9,
0xA3, 0x04, 0x7C, 0x0F, 0xD7, 0x01, 0x08, 0x2B,
0x30, 0x4C, 0xE5, 0x01, 0x67, 0xAF, 0x77, 0x0E,
0x4B, 0x4C, 0x71, 0x77, 0xD3, 0x99, 0xE0, 0x30,
0x6D, 0x85, 0x76, 0x0A, 0x98, 0xAE, 0x6A, 0xA3,
0x04, 0xC5, 0x84, 0xAC, 0xFE, 0x29, 0x9D, 0x0D,
0x86, 0x8A, 0xFC, 0x61, 0xC8, 0x06, 0xBB, 0xAE,
0x93, 0x08, 0xA1, 0xB5, 0x87, 0x5D, 0x80, 0x3C,
0xD4, 0xCF, 0xD0, 0x0E, 0x9F, 0x91, 0x09, 0x7E,
0x96, 0xD0, 0x95, 0x8A, 0x1F, 0x82, 0x16, 0x2D,
0x96, 0xAA, 0x80, 0xFB, 0xC0, 0x73, 0xE1, 0xFF,
0xB0, 0xB0, 0xE5, 0x10, 0x23, 0xF4, 0x31, 0xDC,
0x94, 0xD0, 0x3F, 0x90, 0xBF, 0x92, 0x19, 0x8C,
0x64, 0x8F, 0xEF, 0x2C, 0x1E, 0x78, 0x38, 0x4D,
0x12, 0xFE, 0x41, 0x66, 0x6A, 0x67, 0xE5, 0xA7,
0x42, 0x04, 0x4B, 0xAC, 0xAA, 0x9C, 0x5A, 0x49,
0x2A, 0xE5, 0xF1, 0x8C, 0x80, 0x4D, 0x23, 0xF6,
0xA4, 0xDE, 0x23, 0x6B, 0x6A, 0x83, 0xBC, 0x03,
0x70, 0xD5, 0x58, 0xFC, 0xCF, 0xB2, 0x0E, 0xC1,
0xD0, 0x49, 0x9F, 0xB1, 0x20, 0xC9, 0x3E, 0x4B,
0x11, 0x25, 0xAC, 0x69, 0x75, 0xDC, 0x59, 0xF5,
0xC8, 0x69, 0xE2, 0xE7, 0x81, 0xD6, 0x94, 0xAF,
0x57, 0x6C, 0x59, 0x39, 0x0E, 0xD0, 0x20, 0x48,
0xFF, 0x64, 0x66, 0xB7, 0x3E, 0x88, 0x18, 0x07,
0x05, 0x51, 0xBA, 0x48, 0xAC, 0x6C, 0x1F, 0x41,
0xF8, 0xE1, 0xA5, 0xC0, 0x53, 0x65, 0x00, 0x75,
0xEA, 0x43, 0x17, 0x6B, 0x49, 0xDD, 0x9F, 0x3B,
0xAC, 0xC5, 0x8C, 0xA3, 0x0C, 0xB9, 0xA4, 0xCF },
/* exponent2 */
2047,
{ 0x57, 0x5A, 0x87, 0x09, 0x28, 0xAF, 0xD4, 0x39,
0x71, 0xCC, 0x09, 0xD9, 0xE1, 0x55, 0x24, 0xFF,
0xAE, 0x84, 0xF6, 0xEA, 0x0F, 0x24, 0xDA, 0x4E,
0xB1, 0x41, 0x67, 0xFB, 0x56, 0x78, 0xB3, 0xBE,
0x7A, 0x91, 0xCF, 0x7D, 0x1C, 0x22, 0xBA, 0x7D,
0x6E, 0x7D, 0xD2, 0xE1, 0x1E, 0x61, 0xB3, 0x53,
0xC8, 0xD4, 0xE7, 0x1B, 0x44, 0xA8, 0x53, 0xE3,
0x99, 0x60, 0xF8, 0x01, 0x71, 0xD0, 0x76, 0xCF,
0x26, 0x0F, 0x9F, 0xCB, 0xD6, 0x24, 0x2A, 0x68,
0x9C, 0x02, 0xC4, 0x0D, 0x0B, 0xF8, 0x88, 0x2A,
0x36, 0xB3, 0x2D, 0x75, 0x2B, 0xCB, 0x01, 0xA1,
0xA8, 0x25, 0x6E, 0x36, 0xC2, 0x9B, 0xC0, 0xDE,
0x62, 0xAC, 0x7E, 0x99, 0x6D, 0xB6, 0xF8, 0x2B,
0xA3, 0x2C, 0xA1, 0x11, 0x59, 0x30, 0xFB, 0x30,
0xEF, 0x17, 0xC5, 0x0A, 0xE3, 0xD9, 0x2D, 0xDE,
0x0B, 0x73, 0x6B, 0xB7, 0x13, 0x14, 0xB2, 0x9C,
0x38, 0x9F, 0xCE, 0x2D, 0x60, 0x6F, 0x88, 0xD4,
0x22, 0x9D, 0xEB, 0x95, 0x44, 0xD2, 0xA9, 0x75,
0x77, 0xC7, 0x95, 0x93, 0x49, 0xEE, 0xF8, 0xD3,
0xE8, 0x4E, 0x85, 0xB1, 0x95, 0x18, 0xD8, 0xA7,
0xB4, 0x44, 0x48, 0x00, 0xC1, 0x44, 0x68, 0xF2,
0x52, 0x7C, 0xA4, 0xD7, 0x4B, 0xFF, 0x5B, 0x90,
0x0D, 0x2F, 0x35, 0xB7, 0xD6, 0xA8, 0x60, 0xD0,
0x08, 0x2E, 0x7C, 0x1B, 0x41, 0xB3, 0xEE, 0x38,
0x94, 0xE4, 0x2A, 0x8C, 0x17, 0x89, 0x71, 0xA4,
0x0F, 0x94, 0xAE, 0x9F, 0xB0, 0xF7, 0x03, 0xC9,
0xD4, 0xD0, 0x45, 0xCB, 0xEB, 0x2B, 0x82, 0x63,
0x06, 0x2F, 0xDF, 0xD2, 0x6B, 0xD5, 0xB8, 0x69,
0x60, 0x62, 0x34, 0xE8, 0x9F, 0x2D, 0x96, 0xA5,
0xAB, 0x04, 0x7A, 0xFF, 0x79, 0x09, 0xDA, 0xCB,
0x64, 0xD4, 0xFD, 0x3B, 0x35, 0x11, 0xD7, 0xF1,
0xB9, 0x41, 0xA6, 0x64, 0xDF, 0x40, 0x6D, 0xB9 }
Okay so that's the rest of the RSA listing, with the exponent1 and exponent2 values sitting right there in the middle of all those hex bytes πβ¨. The bytes are the bytes, no changes allowed, so they're copied exactly.
And here's the RSA-4096 key in its encoded form, ready to use ππ:
-----BEGIN RSA PRIVATE KEY-----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-----END RSA PRIVATE KEY-----
2.2. DLP Keys β¨
Okay bestie, now we're switching to the DLP family π¦. These publicly known test keys are for the DLP-based algorithms, the kind that show up as DSA, DH, and Elgamal, and they're totally fine to use for testing π§ͺπ.
The first one is the DLP-1024 key called "testDLP1024":
okay so this part picks up right in the middle of the DLP-1024 key's raw numbers, and we're getting the rest of the DLP-1024 key, the DLP-2048 key, and both encoded versions πβ¨
/* p */
1018,
{ 0x03, 0x0C, 0xDF, 0xC3, 0x8F, 0xC3, 0xE4, 0x21,
0x27, 0x90, 0xB0, 0xA4, 0x1E, 0x45, 0xB4, 0xE4,
0xE8, 0x80, 0xDE, 0x8A, 0xBF, 0xD3, 0xAE, 0xCA,
0x0B, 0x23, 0x8F, 0xB6, 0xCD, 0x73, 0x0C, 0xC3,
0x18, 0x76, 0x93, 0x36, 0xD5, 0xB1, 0x80, 0xB2,
0x80, 0x2A, 0x01, 0xBE, 0x4B, 0xC1, 0xAB, 0x84,
0xFC, 0xE2, 0xFF, 0x48, 0x9B, 0x50, 0xC2, 0xD2,
0x9D, 0xE9, 0x1E, 0xC0, 0xE6, 0x5B, 0x60, 0x64,
0xFD, 0x0D, 0xE5, 0x37, 0xEA, 0xBA, 0x1C, 0x6C,
0xDD, 0x27, 0xDC, 0x30, 0x30, 0x48, 0x1E, 0x8B,
0xB9, 0x60, 0xAA, 0x8B, 0x8A, 0xEF, 0x93, 0x35,
0x30, 0xE6, 0xB1, 0xCC, 0x51, 0x60, 0xBB, 0xFA,
0xAF, 0x85, 0x0F, 0xF6, 0x57, 0x81, 0x12, 0x33,
0x7D, 0x53, 0x03, 0x4E, 0x41, 0x63, 0xDC, 0x65,
0x03, 0xBD, 0xF8, 0x89, 0x25, 0x81, 0x14, 0x1F,
0xAB, 0x82, 0x55, 0xB6, 0xD9, 0x72, 0x7B, 0xB3 },
/* q */
160,
{ 0xEC, 0x41, 0xB9, 0xC0, 0x62, 0x1D, 0x5B, 0xDC,
0xAF, 0x11, 0xD5, 0x19, 0x8F, 0x72, 0x08, 0x88,
0x2E, 0x65, 0xBB, 0xDF },
/* g */
1017,
{ 0x01, 0x64, 0x87, 0xAC, 0xCF, 0xCD, 0x95, 0x50,
0x51, 0xE0, 0x6E, 0x1C, 0x5B, 0xEF, 0x45, 0x2C,
0x12, 0x63, 0xC7, 0x5D, 0x2B, 0x36, 0x50, 0x4F,
0xB4, 0x27, 0x57, 0x35, 0xC2, 0x83, 0x32, 0x0B,
0x63, 0xAC, 0x91, 0xC6, 0xF4, 0x02, 0x09, 0x32,
0x53, 0x1C, 0xAB, 0x04, 0xB1, 0xCD, 0x72, 0xFD,
0xF2, 0x9D, 0xE2, 0x4E, 0x27, 0x17, 0x97, 0xA7,
0xDD, 0x21, 0x97, 0x67, 0x69, 0x31, 0xF9, 0x33,
0x1D, 0x1F, 0x59, 0xEE, 0xE5, 0xBA, 0x2C, 0x7D,
0x54, 0xAE, 0x13, 0x5C, 0x7F, 0x79, 0x41, 0x37,
0xD8, 0xD8, 0x0E, 0xB6, 0x29, 0x28, 0x8E, 0x26,
0x8A, 0x3B, 0xEB, 0xD2, 0x1F, 0x16, 0xA4, 0x03,
0xF1, 0xD5, 0xDA, 0xD8, 0x3C, 0x1C, 0x47, 0x80,
0x17, 0xA3, 0xCD, 0x26, 0x6F, 0x1B, 0xA4, 0x9B,
0x89, 0x0D, 0xC0, 0x89, 0x21, 0x2E, 0x72, 0x26,
0x1D, 0xA3, 0x67, 0xAF, 0x80, 0x3B, 0x02, 0x50 },
/* x */
157,
{ 0x11, 0xED, 0x99, 0x78, 0x5A, 0x81, 0x3A, 0x1B,
0x0E, 0x96, 0xEC, 0xD3, 0x8D, 0x7F, 0x9B, 0xCE,
0x9E, 0xBF, 0xD6, 0xFA },
/* y */
1018,
{ 0x02, 0x20, 0xB9, 0x42, 0xC2, 0x5C, 0x44, 0xDA,
0x52, 0xB0, 0xD1, 0x76, 0x82, 0xEA, 0xC4, 0x36,
0xEA, 0x7E, 0x81, 0xEC, 0x9F, 0x76, 0xE1, 0x05,
0x75, 0x32, 0xAA, 0x67, 0xEA, 0xDD, 0x04, 0xAD,
0xB8, 0xFD, 0x61, 0x81, 0xBA, 0x0B, 0x25, 0xF2,
0x84, 0xDA, 0xAA, 0xAA, 0x05, 0xF3, 0xC8, 0x40,
0x34, 0xD4, 0x17, 0xD3, 0x7B, 0x6E, 0x0A, 0x63,
0x31, 0x8A, 0x0A, 0x79, 0x1F, 0x1D, 0x0D, 0xD4,
0xF6, 0x8A, 0xFA, 0xE3, 0x35, 0xAA, 0x5D, 0xBE,
0xA3, 0xF2, 0xF6, 0xD6, 0xDD, 0x73, 0x09, 0x26,
0x24, 0x7F, 0xDC, 0x4D, 0x1B, 0x82, 0xDF, 0x8C,
0x2D, 0x87, 0xAE, 0x8D, 0x36, 0xAD, 0xB9, 0xDD,
0x25, 0x13, 0x57, 0x8E, 0x8B, 0x99, 0xAA, 0x6A,
0x0E, 0xDF, 0x67, 0x5F, 0xFC, 0x2F, 0xDE, 0xB6,
0x4B, 0x26, 0xE5, 0xBE, 0xD8, 0x53, 0x2D, 0xFD,
0x98, 0x11, 0x0F, 0xCF, 0xC9, 0xED, 0xF9, 0x38 }
The DLP-1024 key in encoded form, so you can see the same key as one neat little blob π
-----BEGIN DSA PRIVATE KEY-----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-----END DSA PRIVATE KEY-----
Now we move on to the bigger, badder DLP-2048 key, which is literally named testDLP2048 ππ
/* p */
2042,
{ 0x03, 0x2D, 0xD5, 0x53, 0x7D, 0x33, 0x7A, 0x91,
0x34, 0x37, 0xD3, 0x5E, 0xA3, 0x43, 0x3D, 0xB0,
0xE7, 0xB7, 0x21, 0x29, 0x8F, 0xBA, 0x87, 0x27,
0xF2, 0xF9, 0xBE, 0x85, 0x6D, 0x6A, 0x14, 0x6B,
0x92, 0x98, 0x8D, 0x50, 0x82, 0xF2, 0xC5, 0x72,
0xB7, 0x70, 0x37, 0x63, 0xE8, 0x24, 0x54, 0xA7,
0xA4, 0xA2, 0x25, 0x9B, 0x29, 0xAC, 0xE9, 0xB0,
0xBC, 0x9B, 0x4B, 0x4D, 0x98, 0x5D, 0x6A, 0x9C,
0x8C, 0xB6, 0x30, 0xE4, 0xE0, 0x9F, 0x48, 0x07,
0x9F, 0x1B, 0xE8, 0x07, 0x69, 0x71, 0xDE, 0x92,
0x68, 0x56, 0x70, 0xB9, 0x4C, 0xC9, 0x68, 0x7D,
0xDC, 0x23, 0x3B, 0x30, 0xAF, 0x22, 0x94, 0xB0,
0x30, 0xA6, 0xB4, 0x97, 0xF6, 0x46, 0xF9, 0x4E,
0x1C, 0x17, 0xE8, 0x3A, 0x90, 0x4C, 0x2C, 0x1B,
0x68, 0x44, 0x10, 0xCE, 0x04, 0x8F, 0xD9, 0xCD,
0x64, 0x05, 0xA1, 0x4A, 0xA6, 0x8C, 0x2B, 0x8F,
0x7F, 0x8B, 0xD0, 0x6E, 0x9F, 0x64, 0xC4, 0xBB,
0x69, 0xCC, 0xBF, 0xBC, 0x80, 0x56, 0xAE, 0x41,
0x4A, 0x8B, 0x2E, 0x35, 0xD6, 0x20, 0x5C, 0xDE,
0xFB, 0x2A, 0x24, 0xA3, 0x79, 0xB8, 0xA1, 0x16,
0x17, 0x50, 0x95, 0xFF, 0x57, 0xFF, 0x61, 0x55,
0x12, 0x86, 0x86, 0xD9, 0x9B, 0x8E, 0x1F, 0x24,
0x44, 0x63, 0x12, 0x71, 0xF0, 0x9C, 0x33, 0x4F,
0x37, 0x22, 0x45, 0x2F, 0xE9, 0x26, 0x3F, 0xC3,
0x34, 0x9E, 0x6F, 0x33, 0x07, 0xA6, 0x75, 0x4F,
0xFD, 0x89, 0xD4, 0x43, 0x27, 0x38, 0x7D, 0xFD,
0x40, 0x18, 0xA0, 0x2A, 0xEA, 0x6E, 0xF4, 0xC6,
0x36, 0xA7, 0x69, 0xE7, 0xCE, 0xB7, 0x37, 0x19,
0x19, 0x72, 0x49, 0xA8, 0x41, 0xA3, 0x0B, 0xE0,
0xC4, 0xBE, 0x8E, 0xCB, 0x10, 0x7F, 0x38, 0x02,
0xDC, 0x45, 0x83, 0xF8, 0xE0, 0x12, 0x94, 0xD5,
0x2B, 0x62, 0x13, 0x67, 0xBD, 0x0C, 0x19, 0x53 },
/* q */
225,
{ 0x01, 0x95, 0x09, 0xB2, 0xED, 0xA8, 0x3B, 0x08,
0x82, 0x73, 0x1B, 0x3F, 0xE8, 0x9C, 0x2E, 0xF6,
0x9D, 0xB8, 0xD8, 0x36, 0x12, 0x34, 0x5D, 0x1A,
0x66, 0xA5, 0x83, 0xB9, 0x11 },
/* g */
2040,
{ 0xAC, 0x5D, 0x12, 0x0E, 0x46, 0xD2, 0xBA, 0xD6,
0x87, 0x88, 0x47, 0xCC, 0xE8, 0x70, 0xA6, 0x9E,
0xDC, 0xAD, 0xC8, 0x6C, 0x85, 0x9C, 0x49, 0xBA,
0xF7, 0xAD, 0xE4, 0x1E, 0xD9, 0x36, 0x8E, 0xC2,
0x3B, 0x64, 0x54, 0xFB, 0x60, 0xEA, 0xDA, 0xAC,
0xC6, 0x64, 0x2A, 0x6F, 0xDD, 0x32, 0x2B, 0x99,
0xAB, 0x14, 0x75, 0x81, 0xB2, 0x1B, 0xEB, 0xE0,
0x62, 0x94, 0xE3, 0x82, 0x0B, 0xC5, 0x56, 0xFA,
0x54, 0x11, 0xB3, 0x1C, 0x37, 0x3B, 0x39, 0xA6,
0x7D, 0x51, 0x8A, 0x54, 0x77, 0x13, 0x41, 0x5C,
0x67, 0xAC, 0xEF, 0x18, 0xBC, 0x6B, 0xA9, 0x4C,
0x95, 0x60, 0x0C, 0xB5, 0xBD, 0xA8, 0x3C, 0x84,
0xAD, 0x58, 0xE5, 0x49, 0x1D, 0x26, 0x26, 0x1E,
0xD4, 0xE5, 0x35, 0xAD, 0xB2, 0x2E, 0x35, 0xB0,
0x6C, 0xC2, 0xB4, 0xC8, 0x9D, 0xA2, 0xDC, 0x63,
0xE2, 0x9E, 0xDA, 0x06, 0xF0, 0x13, 0x80, 0x72,
0x46, 0x55, 0x89, 0x32, 0xE9, 0xF2, 0xDC, 0x8B,
0x93, 0x2E, 0x6B, 0x84, 0xB4, 0x07, 0xF5, 0x71,
0x50, 0x9D, 0x06, 0xF7, 0x94, 0x30, 0xE9, 0x5D,
0x46, 0xB2, 0xD0, 0x26, 0x14, 0x28, 0x84, 0x17,
0x99, 0x98, 0x86, 0xA6, 0x71, 0x45, 0xED, 0x74,
0x6A, 0x0C, 0xA8, 0xC0, 0x44, 0x41, 0x03, 0xF5,
0x03, 0xE6, 0xBB, 0xE7, 0x45, 0x61, 0xC3, 0xAC,
0xD1, 0x9A, 0xE5, 0x7A, 0x82, 0x67, 0xA1, 0xBC,
0x3C, 0x49, 0x30, 0x83, 0xBB, 0x16, 0xC5, 0x97,
0xA8, 0xAC, 0x99, 0x81, 0xFB, 0x70, 0x45, 0x87,
0x17, 0xFB, 0x64, 0x9C, 0xA4, 0x61, 0xD4, 0x70,
0xB4, 0xB3, 0x5E, 0x3E, 0x98, 0x64, 0xFA, 0x1A,
0x59, 0x9B, 0xC0, 0x1E, 0x6F, 0xE9, 0x93, 0x0A,
0x51, 0xF5, 0x79, 0xB0, 0x84, 0x01, 0x74, 0x25,
0xB8, 0xD0, 0xA1, 0x02, 0x3F, 0xAE, 0xDD, 0xDC,
0x57, 0xD1, 0xCE, 0x56, 0x25, 0x1C, 0xDA },
/* x */
223,
{ 0x64, 0x05, 0xBC, 0xDE, 0xB4, 0xF7, 0x68, 0x29,
0x02, 0x23, 0xCE, 0x5D, 0xB5, 0x2A, 0x8A, 0x30,
0xC2, 0x8A, 0xDC, 0x78, 0x02, 0xD9, 0x68, 0x1E,
0xDC, 0xB4, 0x34, 0xE5 },
/* y */
2042,
{ 0x02, 0x30, 0x37, 0xB2, 0xD9, 0xC9, 0x9E, 0x75,
0x3F, 0xD2, 0x79, 0xBF, 0xFC, 0xDE, 0xE9, 0x92,
0x9C, 0x9B, 0xA1, 0xDE, 0xAA, 0x97, 0x0B, 0x03,
0x72, 0xAF, 0x73, 0x35, 0xE5, 0x50, 0x21, 0x37,
0x42, 0x99, 0xF3, 0x61, 0x02, 0x7C, 0x8D, 0x65,
0xD5, 0x7A, 0xFB, 0x4D, 0x3C, 0xCD, 0x2B, 0x47,
0x24, 0xB5, 0x3F, 0x09, 0xEB, 0xE2, 0x8C, 0xBF,
0x49, 0x9F, 0x6B, 0x4F, 0x86, 0x33, 0x49, 0x19,
0x8B, 0x24, 0xB2, 0xAB, 0x0D, 0x4C, 0xEC, 0xB6,
0xC4, 0xFD, 0x7E, 0x67, 0x2D, 0x4B, 0x2A, 0xCA,
0x9D, 0x39, 0xE3, 0xAE, 0x20, 0xF8, 0xEC, 0xD7,
0xFD, 0x77, 0x10, 0x7C, 0xE5, 0x4A, 0x66, 0xDD,
0xEE, 0x97, 0x44, 0xE4, 0x8C, 0xF8, 0xDD, 0x6B,
0xA9, 0xA5, 0x28, 0xC7, 0x51, 0xF0, 0x08, 0xC6,
0x6F, 0x19, 0x2A, 0x20, 0x4E, 0xC7, 0xF9, 0x38,
0x76, 0x91, 0x01, 0x79, 0xB1, 0x31, 0x1D, 0x97,
0x5B, 0x49, 0x25, 0xC5, 0x69, 0x90, 0x29, 0xFB,
0xD1, 0x14, 0xA5, 0xE7, 0x90, 0x19, 0x0A, 0x4D,
0x38, 0x9B, 0x94, 0x8F, 0x8F, 0x57, 0x6A, 0x8E,
0x45, 0xA5, 0x6B, 0xE0, 0xD4, 0xFD, 0x6C, 0xEA,
0x63, 0x1C, 0x5F, 0x53, 0x7E, 0xF9, 0x18, 0x59,
0x8E, 0x30, 0x52, 0x2F, 0x93, 0x64, 0x50, 0x66,
0x18, 0xC0, 0x45, 0x84, 0xCA, 0x6F, 0xD0, 0x75,
0x12, 0x12, 0x21, 0xA4, 0x60, 0xF9, 0x80, 0xC5,
0x4F, 0x80, 0x1D, 0x7D, 0x6D, 0x21, 0x9D, 0xF2,
0xA1, 0xDB, 0xEA, 0x3C, 0x8A, 0x03, 0xA0, 0x9F,
0x6B, 0xE9, 0x1B, 0xB6, 0x29, 0x6D, 0x79, 0x1A,
0x2A, 0x83, 0x80, 0xE8, 0x9D, 0x0C, 0xDD, 0x26,
0xF7, 0x66, 0x3E, 0x06, 0x9A, 0x83, 0x31, 0x49,
0xAD, 0x44, 0x2B, 0x2C, 0x13, 0x98, 0x87, 0x71,
0xF6, 0x54, 0xB8, 0x1F, 0x50, 0xE0, 0xD7, 0x26,
0x42, 0x47, 0xD6, 0x78, 0xEA, 0xEB, 0xB0, 0xF9 }
And last but definitely not least, the DLP-2048 key in encoded form. Iconic π§β¨
-----BEGIN DSA PRIVATE KEY-----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-----END DSA PRIVATE KEY-----
Okay so the DLP-4096 test key is up next, bestie πβ¨
DLP-4096 key "testDLP4096":
π«Ά bestie, the part you sent stops right at that key label π Paste the rest of part 6 (the key values and anything after them) and I'll keep going exactly where this leaves off, with every key word, number, and value kept as-is π
/* p / 4086, { 0x31, 0xD2, 0x55, 0x5F, 0xB2, 0xE8, 0x89, 0xF3, 0x20, 0x83, 0x78, 0x79, 0x5A, 0xF4, 0x88, 0x5B, 0x62, 0xD0, 0x13, 0x58, 0xBD, 0xF1, 0x17, 0xC0, 0xB8, 0xAD, 0x4D, 0x22, 0xBE, 0x62, 0xCC, 0x93, 0x34, 0x5B, 0x6E, 0xA8, 0xFC, 0x54, 0x0B, 0x56, 0x8F, 0x50, 0x95, 0xBB, 0xA0, 0x90, 0x3E, 0xC5, 0xEE, 0xD8, 0xC6, 0xAE, 0x52, 0x5D, 0x9A, 0xA7, 0xE4, 0x99, 0x79, 0xF0, 0x8E, 0x6C, 0x4E, 0xDB, 0xF5, 0x6A, 0x93, 0x29, 0x09, 0xA0, 0x6B, 0x6D, 0x1E, 0x07, 0x57, 0x95, 0x3F, 0x90, 0x5B, 0x55, 0x52, 0x99, 0x31, 0x5F, 0x42, 0x48, 0xF5, 0x4B, 0x81, 0xEF, 0x5F, 0x05, 0x4D, 0x8D, 0x82, 0x4E, 0x12, 0xAE, 0xAB, 0x82, 0x4B, 0x2C, 0x2F, 0x4C, 0x5E, 0xDE, 0x04, 0x60, 0x30, 0xDC, 0x3B, 0x16, 0xC2, 0x80, 0x59, 0x56, 0x85, 0xCA, 0x38, 0xC6, 0xE7, 0x13, 0xD8, 0x2E, 0x4D, 0x1B, 0xFC, 0xD3, 0x3D, 0x87, 0xDE, 0x26, 0x95, 0x4B, 0xA0, 0x05, 0xBC, 0x42, 0x17, 0x77, 0x39, 0xB2, 0x0F, 0x1E, 0x46, 0x13, 0x80, 0x79, 0xED, 0xE5, 0x91, 0x64, 0xCE, 0x67, 0x23, 0xE3, 0x51, 0xE4, 0xB2, 0xFC, 0xD5, 0x0D, 0x6E, 0xAB, 0xB4, 0x5D, 0xA8, 0x8F, 0xA4, 0xCD, 0x56, 0x24, 0x8A, 0xEA, 0x44, 0xAA, 0x2E, 0x41, 0xB8, 0xFF, 0x28, 0xBD, 0x37, 0x88, 0x00, 0x8C, 0x2E, 0xEF, 0x4B, 0xE1, 0x90, 0xA0, 0xAB, 0x5D, 0x7D, 0x80, 0x3C, 0x9A, 0xBE, 0xD7, 0xC7, 0xB7, 0x74, 0xB5, 0x0F, 0xA8, 0x38, 0x0D, 0xD7, 0xFE, 0x2B, 0x3D, 0x84, 0x85, 0xA3, 0xD8, 0x80, 0xEF, 0x51, 0xD5, 0x6B, 0x41, 0x1F, 0x73, 0xE6, 0x59, 0xE7, 0x9E, 0x0B, 0xFF, 0x32, 0x14, 0x53, 0x57, 0x3E, 0xC5, 0x0D, 0x9D, 0xD4, 0xD0, 0xAE, 0xCA, 0x30, 0x9D, 0x39, 0xE4, 0x38, 0x86, 0x27, 0x95, 0x03, 0xEF, 0x94, 0x98, 0x51, 0xE3, 0xD4, 0xDC, 0x71, 0xAB, 0xF3, 0xA7, 0x88, 0x63, 0xB9, 0x75, 0xC1, 0x06, 0x24, 0xCB, 0x51, 0x73, 0x4C, 0xDB, 0x58, 0x2A, 0x3A, 0x48, 0xC6, 0xD7, 0x08, 0x47, 0x83, 0x6E, 0x80, 0x8B, 0x0E, 0x22, 0x48, 0xB8, 0xFA, 0x8A, 0x8C, 0x55, 0xA3, 0x57, 0xE8, 0x30, 0x54, 0xD6, 0x48, 0xB2, 0xCC, 0xA5, 0xB8, 0xA3, 0xB1, 0x68, 0x91, 0xAD, 0x52, 0x35, 0x6E, 0x92, 0x87, 0x1A, 0xF5, 0x99, 0xA5, 0x6E, 0x90, 0xC9, 0x34, 0x33, 0xA5, 0x4A, 0x52, 0xFD, 0x42, 0xE2, 0xBE, 0x65, 0x15, 0xC8, 0xCE, 0xC3, 0x73, 0x94, 0x07, 0x0C, 0x26, 0xCA, 0xC5, 0xCA, 0x8C, 0x26, 0x1D, 0x2D, 0x50, 0x21, 0x88, 0x6B, 0xB9, 0x4C, 0x4E, 0x99, 0xFA, 0x78, 0xD2, 0x53, 0x7C, 0xCA, 0xF5, 0xA1, 0x92, 0xC9, 0xC2, 0xAF, 0x77, 0xA0, 0x78, 0x33, 0x45, 0x1F, 0x12, 0x2D, 0xA9, 0xE6, 0xFD, 0x7B, 0x83, 0x92, 0x12, 0x9E, 0xE4, 0x9A, 0x56, 0x07, 0x5F, 0x1A, 0x37, 0x05, 0x00, 0x4C, 0x06, 0xBD, 0x36, 0x7F, 0xBF, 0xCB, 0x9A, 0x07, 0x4A, 0x02, 0xE1, 0x65, 0x25, 0x27, 0x2D, 0xF9, 0xD3, 0x33, 0xCB, 0x91, 0x9B, 0x5B, 0x61, 0x14, 0x07, 0xF7, 0xF7, 0xA4, 0xD9, 0xE1, 0x1E, 0xD2, 0x85, 0xA4, 0x75, 0x95, 0xEA, 0x74, 0x0C, 0xBF, 0xA1, 0x6B, 0xD2, 0xFB, 0xB8, 0x0A, 0xD2, 0xA5, 0xE6, 0x36, 0x04, 0x47, 0x80, 0x8B, 0x1E, 0xC5, 0x07, 0x58, 0xB8, 0x56, 0xF6, 0xDC, 0xA4, 0x25, 0xD9, 0x36, 0xB4, 0x9E, 0xEA, 0x5B, 0x7E, 0xAA, 0x40, 0x79, 0xA3, 0x15, 0x3D, 0xED, 0x32, 0x12, 0x76, 0x4D, 0x00, 0x06, 0xF0, 0x09, 0x36, 0x28, 0x4B, 0x96, 0xD6, 0x8B, 0xC9, 0x74, 0xFD, 0xAF, 0x77, 0xB6, 0x45, 0x78, 0x36, 0x38, 0xC5, 0x1E, 0xB1, 0x18, 0x8A, 0x91, 0x72, 0xA0, 0x37, 0xDE, 0x49, 0xDA, 0x48, 0x1A, 0x9B }, / q / 305, { 0x01, 0xFF, 0x30, 0x36, 0x06, 0x89, 0x3F, 0x53, 0xBE, 0x41, 0x12, 0xF9, 0x60, 0x18, 0xF9, 0x9C, 0xCF, 0xB9, 0x67, 0x82, 0x7E, 0x49, 0x40, 0x36, 0x98, 0x2F, 0xAF, 0x24, 0x06, 0xD2, 0x5D, 0x8B, 0xCC, 0x52, 0x48, 0xDB, 0x2B, 0xCB, 0x13 }, / g / 4085, { 0x19, 0x89, 0x03, 0x1B, 0x12, 0xB8, 0x83, 0x5D, 0x66, 0x5C, 0x9F, 0x42, 0x31, 0x05, 0x24, 0xA0, 0x64, 0x9E, 0xEC, 0x4C, 0x2C, 0x4A, 0xBA, 0xAC, 0xAD, 0x5D, 0x54, 0x8C, 0xE0, 0xFA, 0xF5, 0x3E, 0xCA, 0x38, 0x67, 0xAA, 0xE6, 0x18, 0x7D, 0x5F, 0x63, 0xC0, 0xF6, 0x6B, 0x56, 0xE8, 0x00, 0xAD, 0x5D, 0x09, 0x58, 0x8C, 0xA4, 0x25, 0xBC, 0xE6, 0xBD, 0x33, 0x97, 0x6B, 0xBA, 0xC9, 0x68, 0x63, 0xD1, 0xC2, 0x6E, 0x4F, 0x48, 0x27, 0x67, 0x05, 0x63, 0xFB, 0x9C, 0xA5, 0x16, 0x5C, 0x3C, 0x9F, 0x14, 0x1D, 0x2E, 0x7D, 0x77, 0xA6, 0x11, 0x95, 0x55, 0x4D, 0x9C, 0xE6, 0xA3, 0x25, 0xB9, 0x34, 0x2A, 0x5F, 0x0A, 0xDE, 0x00, 0x7E, 0xED, 0x69, 0xF3, 0x2C, 0x78, 0x67, 0x8C, 0x5F, 0x30, 0x2C, 0xAF, 0x97, 0x62, 0xFC, 0xC0, 0xD6, 0x22, 0xD2, 0xBF, 0xA5, 0xFF, 0x72, 0x4B, 0x59, 0x49, 0x21, 0x1C, 0x66, 0x2E, 0xD3, 0xD8, 0x14, 0x1E, 0xAF, 0xAB, 0xB6, 0x28, 0x65, 0xC2, 0xF2, 0xA6, 0x44, 0xA5, 0xDC, 0x34, 0x0F, 0x24, 0x0F, 0x73, 0x61, 0x53, 0x3C, 0x65, 0x64, 0xCD, 0x9E, 0x33, 0xB6, 0x58, 0xC1, 0x39, 0x71, 0xEC, 0xDA, 0x66, 0x2E, 0x1C, 0x79, 0xB5, 0x88, 0x7E, 0xA2, 0x46, 0x1E, 0x35, 0xA6, 0xBA, 0x2B, 0xD0, 0x20, 0x80, 0xF8, 0xE5, 0xC6, 0xC8, 0xBE, 0x7B, 0xFB, 0xB9, 0x6C, 0xF4, 0x1F, 0x07, 0xD5, 0xBD, 0xC9, 0x65, 0x00, 0xB5, 0x6C, 0x53, 0x4B, 0x70, 0x36, 0x99, 0x56, 0x8F, 0x70, 0x0B, 0x9A, 0xD5, 0xEF, 0xFC, 0x1E, 0xE8, 0xBE, 0x2F, 0x70, 0x39, 0x50, 0xAC, 0xD3, 0xB8, 0x8C, 0x24, 0x3F, 0x82, 0xA2, 0xE9, 0xF5, 0x01, 0xE3, 0x87, 0x84, 0x4E, 0x77, 0xAA, 0x90, 0x2D, 0xC0, 0xD7, 0xD9, 0x6E, 0xBE, 0x4E, 0x4B, 0xC8, 0xB3, 0xAB, 0x09, 0x64, 0xAC, 0x28, 0xB1, 0x54, 0xCD, 0x15, 0x35, 0xA4, 0x06, 0x55, 0x40, 0x83, 0x39, 0x8E, 0x0B, 0xE6, 0xAC, 0x9B, 0x26, 0xFF, 0x9A, 0xF4, 0xC2, 0xCD, 0xA9, 0x55, 0x17, 0x51, 0x15, 0x2F, 0xBD, 0x4C, 0xC2, 0xD7, 0xF1, 0x9A, 0x9E, 0x7F, 0x41, 0xA5, 0x6E, 0xBB, 0xEF, 0x3C, 0xD5, 0x1D, 0xF6, 0xB1, 0x08, 0x48, 0x06, 0x15, 0xA8, 0xF3, 0xED, 0x99, 0x9F, 0xEC, 0x7F, 0x0F, 0x3C, 0x53, 0x87, 0x55, 0x27, 0x70, 0x74, 0xB3, 0xA8, 0x0D, 0x4B, 0x6A, 0x84, 0x71, 0x26, 0xE1, 0xB9, 0xDF, 0xE2, 0x38, 0x96, 0xF5, 0xB1, 0x97, 0x53, 0x83, 0x9B, 0x18, 0xA7, 0xE6, 0x69, 0x3E, 0x9F, 0xB1, 0x3D, 0x11, 0x58, 0xA3, 0xAB, 0xAF, 0x4E, 0x04, 0x62, 0x7D, 0xEB, 0x96, 0x12, 0xD9, 0x59, 0x4D, 0x33, 0x26, 0x1A, 0xE5, 0x93, 0x67, 0xFF, 0xCA, 0xDE, 0xC3, 0xB5, 0xAF, 0xFF, 0xCB, 0xDF, 0xED, 0x45, 0x0B, 0x53, 0x8B, 0xC8, 0xD8, 0x8D, 0x29, 0x8E, 0xDD, 0x27, 0xB3, 0x36, 0xE8, 0xF5, 0xEE, 0x6D, 0x46, 0x1F, 0x57, 0x40, 0x3B, 0xB4, 0x6D, 0xBC, 0x04, 0xB6, 0xD9, 0x00, 0xC7, 0x48, 0x72, 0x8D, 0xE7, 0x8F, 0x68, 0x8F, 0xCD, 0x9A, 0x90, 0x29, 0x4E, 0xEA, 0x95, 0xE7, 0xCE, 0x48, 0x2A, 0x39, 0xB0, 0x62, 0xE8, 0x04, 0xFC, 0xCB, 0x6E, 0xF7, 0xD1, 0x35, 0x94, 0xB9, 0x35, 0x0E, 0xC2, 0x0F, 0xB5, 0x02, 0xA8, 0x4C, 0x4E, 0x30, 0x96, 0xC5, 0x90, 0xAA, 0x29, 0x63, 0x78, 0x79, 0x0D, 0x81, 0x9E, 0xC2, 0xC5, 0x0D, 0xD5, 0xF5, 0x46, 0xF5, 0xE3, 0xE4, 0xD9, 0x69, 0xEC, 0x33, 0xDA, 0x45, 0x52, 0x14, 0xD7, 0xA0, 0x5C, 0xAA, 0xF8, 0x87, 0xB5, 0xE8, 0x9B, 0x09, 0xE6, 0xB2, 0xCF, 0x0D, 0x56, 0x43, 0xC3, 0x85, 0x48, 0x01, 0x8A, 0x87, 0x7B, 0x5A, 0x17, 0x72, 0x40, 0x2B, 0x4B, 0x29, 0xF3, 0x5C, 0x8B }, / x / 305, { 0x01, 0xA7, 0x77, 0x11, 0xB8, 0x9D, 0x45, 0x53, 0x27, 0x29, 0x01, 0xBA, 0x09, 0x5A, 0x7F, 0xFC, 0x14, 0x9C, 0x8C, 0x05, 0xB0, 0x2F, 0xDD, 0x04, 0x0D, 0xC9, 0x98, 0x97, 0x11, 0x5B, 0xCE, 0xC3, 0xE6, 0x14, 0xF2, 0x55, 0x7F, 0x9C, 0x0C }, / y */ 4086, { 0x2A, 0x49, 0x11, 0x73, 0x18, 0x65, 0x11, 0x4B, 0x8A, 0x6C, 0x6F, 0x8E, 0x40, 0x7D, 0x55, 0xC3, 0x9A, 0xB7, 0x10, 0xBB, 0x45, 0xCA, 0xBA, 0x94, 0xE6, 0xB1, 0x85, 0x87, 0xD2, 0x8F, 0x9C, 0x6C, 0x69, 0x4C, 0x01, 0x9A, 0x09, 0xB2, 0x6F, 0x44, 0x8C, 0x2A, 0x33, 0x55, 0xA5, 0x67, 0xB1, 0xA0, 0xC8, 0x61, 0x82, 0x2E, 0x19, 0xC6, 0xFA, 0xDE, 0x8C, 0x43, 0xAA, 0x61, 0xC3, 0xBF, 0x39, 0xB6, 0x95, 0xE2, 0xA2, 0x74, 0x55, 0x2F, 0xE8, 0x5C, 0x76, 0x5B, 0x8A, 0x1E, 0xF7, 0x8D, 0x1B, 0x42, 0x97, 0xEF, 0x4C, 0x31, 0x3F, 0xE8, 0xDB, 0xF2, 0x22, 0x11, 0x30, 0xC5, 0xEE, 0x91, 0xF9, 0xE3, 0xD3, 0xBB, 0xF2, 0x9C, 0xC4, 0x7B, 0x1B, 0xAB, 0xAF, 0x17, 0x9C, 0xBA, 0x8B, 0xD4, 0x5B, 0xA9, 0x61, 0xD7, 0x0A, 0xB6, 0xBD, 0x7A, 0xA0, 0x75, 0xFB, 0x2A, 0x15, 0x33, 0x14, 0xFC, 0x3B, 0x2C, 0x3B, 0x89, 0x86, 0x6E, 0x68, 0x2C, 0x7A, 0x95, 0x8D, 0x3B, 0x78, 0x87, 0xF0, 0xD7, 0xD8, 0xF4, 0x0D, 0xF5, 0x5E, 0x6E, 0x51, 0x5D, 0x1F, 0xBB, 0x88, 0x77, 0x8E, 0xAF, 0x8E, 0xF1, 0xE8, 0xF3, 0x11, 0x9A, 0x74, 0x98, 0x80, 0x66, 0x7C, 0xA8, 0xEC, 0xC4, 0x6B, 0xFA, 0x10, 0xBA, 0xC4, 0x67, 0x4B, 0x77, 0xB9, 0x4E, 0xB0, 0xE9, 0x2A, 0x76, 0xA6, 0xC0, 0x81, 0x59, 0xD1, 0xF4, 0x06, 0xB6, 0x68, 0x5F, 0xE8, 0x5B, 0x41, 0xA8, 0xD8, 0x04, 0x93, 0x91, 0x8A, 0xF5, 0x29, 0x9A, 0x1C, 0x6A, 0x11, 0x3D, 0xE2, 0xF9, 0x74, 0x27, 0xCD, 0x87, 0xC4, 0xBA, 0x28, 0x2A, 0x65, 0x5D, 0x6A, 0x4E, 0xE7, 0x15, 0x01, 0x2E, 0x0C, 0x75, 0x0C, 0xC3, 0xB1, 0xE5, 0xC0, 0xF2, 0x2B, 0xC8, 0x2A, 0xD2, 0x3E, 0xB4, 0xC0, 0xEC, 0xF4, 0x80, 0xAC, 0xB7, 0xD7, 0x31, 0x21, 0x57, 0xDB, 0xB7, 0xE0, 0xE5, 0x23, 0x78, 0xE9, 0xFF, 0x46, 0xEE, 0xEF, 0x04, 0xAF, 0x47, 0x4F, 0x2C, 0x4C, 0x55, 0xDF, 0xFF, 0xCF, 0x79, 0x8B, 0x90, 0x3F, 0x49, 0xEA, 0x43, 0xD0, 0x60, 0xEF, 0x23, 0xED, 0x7D, 0x63, 0x89, 0x7B, 0xCB, 0x2F, 0xF1, 0x39, 0xAB, 0x0D, 0x80, 0x5F, 0xF7, 0x85, 0x87, 0xCC, 0xE6, 0xF1, 0xF2, 0xCE, 0x39, 0x07, 0xBB, 0xDA, 0x5A, 0x67, 0x39, 0xCF, 0x62, 0x47, 0x2C, 0xA2, 0x11, 0x85, 0x18, 0xDA, 0xFE, 0x90, 0x7C, 0x4B, 0xEA, 0x88, 0xDC, 0xAE, 0x39, 0x01, 0x07, 0x3A, 0xB6, 0xCC, 0x60, 0xA5, 0x60, 0xC9, 0xA4, 0xD6, 0x33, 0x1E, 0x29, 0xF8, 0x8A, 0xFE, 0xB9, 0x99, 0xA6, 0x4A, 0xE4, 0xDB, 0xC7, 0xBF, 0x02, 0x22, 0xA9, 0xD4, 0x19, 0x3A, 0x20, 0xE8, 0x1B, 0x40, 0x30, 0xF3, 0x28, 0xE3, 0xA9, 0xCB, 0x7C, 0x92, 0x62, 0x04, 0x98, 0x47, 0x4F, 0xCB, 0x64, 0xDA, 0xE1, 0xBB, 0xD7, 0x9E, 0x4A, 0x9C, 0x04, 0x76, 0x47, 0x5E, 0xF0, 0xF9, 0xAB, 0x5E, 0x89, 0xAE, 0x4D, 0x5A, 0xAE, 0x9F, 0x87, 0x60, 0x21, 0xFA, 0x0B, 0xB2, 0x82, 0x17, 0xCF, 0x27, 0x8D, 0x3A, 0xE9, 0xED, 0xDC, 0x1C, 0x57, 0xBE, 0x5E, 0x17, 0xDC, 0x0D, 0x94, 0x8E, 0x02, 0xFC, 0x05, 0xFE, 0xDF, 0x74, 0x07, 0x05, 0xD8, 0xDC, 0xDC, 0x9D, 0x4B, 0x9C, 0xE6, 0x80, 0x93, 0x65, 0x74, 0x94, 0x01, 0x5E, 0x05,
0x17, 0x78, 0x96, 0xF1, 0x29, 0xFD, 0xFF, 0xB5,
0xFF, 0x4A, 0xF5, 0x7C, 0x64, 0xD1, 0x51, 0xEC,
0xEC, 0x8E, 0x74, 0x7B, 0x72, 0x67, 0xFA, 0x2D,
0x8C, 0xF5, 0x97, 0x5E, 0x84, 0xC2, 0xEF, 0xAC,
0x18, 0xDF, 0x16, 0xF2, 0xD8, 0x98, 0x0C, 0xE4,
0x09, 0xC0, 0x3A, 0x1B, 0xC2, 0xB9, 0x5B, 0x34,
0x34, 0x18, 0x98, 0xC6, 0xA5, 0xC6, 0x28, 0x54,
0xB8, 0x53, 0x33, 0xE1, 0x4A, 0xA8, 0xE9 }
DLP-4096 key in encoded form:
-----BEGIN DSA PRIVATE KEY-----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-----END DSA PRIVATE KEY-----
2.3. ECDLP Keys β¨
The following publicly known test keys may be used for ECDLP-based algorithms such as ECDSA and ECDH. π
P256 key "testECCP256" πΈ
/* qx */
256,
{ 0x42, 0x25, 0x48, 0xF8, 0x8F, 0xB7, 0x82, 0xFF,
0xB5, 0xEC, 0xA3, 0x74, 0x44, 0x52, 0xC7, 0x2A,
0x1E, 0x55, 0x8F, 0xBD, 0x6F, 0x73, 0xBE, 0x5E,
0x48, 0xE9, 0x32, 0x32, 0xCC, 0x45, 0xC5, 0xB1 },
/* qy */
256,
{ 0x6C, 0x4C, 0xD1, 0x0C, 0x4C, 0xB8, 0xD5, 0xB8,
0xA1, 0x71, 0x39, 0xE9, 0x48, 0x82, 0xC8, 0x99,
0x25, 0x72, 0x99, 0x34, 0x25, 0xF4, 0x14, 0x19,
0xAB, 0x7E, 0x90, 0xA4, 0x2A, 0x49, 0x42, 0x72 },
/* d */
256,
{ 0xE6, 0xCB, 0x5B, 0xDD, 0x80, 0xAA, 0x45, 0xAE,
0x9C, 0x95, 0xE8, 0xC1, 0x54, 0x76, 0x67, 0x9F,
0xFE, 0xC9, 0x53, 0xC1, 0x68, 0x51, 0xE7, 0x11,
0xE7, 0x43, 0x93, 0x95, 0x89, 0xC6, 0x4F, 0xC1 }
P256 key in encoded form:
-----BEGIN EC PRIVATE KEY-----
MHcCAQEEIObLW92AqkWunJXowVR2Z5/+yVPBaFHnEedDk5WJxk/BoAoGCCqGSM49
AwEHoUQDQgAEQiVI+I+3gv+17KN0RFLHKh5Vj71vc75eSOkyMsxFxbFsTNEMTLjV
uKFxOelIgsiZJXKZNCX0FBmrfpCkKklCcg==
-----END EC PRIVATE KEY-----
P384 key "testECCP384" π¦
/* qx */
384,
{ 0x5B, 0x09, 0x01, 0xB8, 0x85, 0x23, 0x29, 0x6E,
0xB9, 0x19, 0xD5, 0x0F, 0xFA, 0x1A, 0x9C, 0xB3,
0x74, 0xBC, 0x4D, 0x40, 0x95, 0x86, 0x28, 0x2B,
0xFE, 0xCA, 0x11, 0xB1, 0xD9, 0x5A, 0xDB, 0xB5,
0x47, 0x34, 0xAF, 0x57, 0x0B, 0xF8, 0x2B, 0x72,
0x28, 0xCF, 0x22, 0x6B, 0xCF, 0x4C, 0x25, 0xDD },
/* qy */
384,
{ 0xBC, 0xFE, 0x3B, 0x1A, 0x3A, 0xD3, 0x94, 0x30,
0xEF, 0xF7, 0x63, 0xE1, 0xD6, 0x8D, 0x2E, 0x15,
0x1D, 0x91, 0x72, 0x0B, 0x77, 0x95, 0xB5, 0x8D,
0xA6, 0xB3, 0x46, 0x39, 0x61, 0x3A, 0x8F, 0xB9,
0xB5, 0xA8, 0xDA, 0x48, 0xC6, 0x74, 0x71, 0x17,
0xF9, 0x91, 0x9E, 0x84, 0x24, 0xF3, 0x7E, 0xC8 },
/* d */
384,
{ 0xE2, 0x56, 0x33, 0x28, 0xDF, 0xAB, 0xF6, 0x81,
0x88, 0x60, 0x6B, 0x91, 0x32, 0x42, 0x81, 0xC1,
0xD5, 0x8A, 0x44, 0x56, 0x43, 0x1B, 0x09, 0xD5,
0x10, 0xB3, 0x5F, 0xEC, 0xC9, 0xF3, 0x07, 0xCA,
0x18, 0x22, 0x84, 0x6F, 0xA2, 0x67, 0x13, 0x71,
0xA9, 0xA8, 0x1B, 0xAC, 0x0E, 0x35, 0x74, 0x9D }
P384 key in encoded form:
-----BEGIN EC PRIVATE KEY-----
MIGkAgEBBDDiVjMo36v2gYhga5EyQoHB1YpEVkMbCdUQs1/syfMHyhgihG+iZxNx
qagbrA41dJ2gBwYFK4EEACKhZANiAARbCQG4hSMpbrkZ1Q/6GpyzdLxNQJWGKCv+
yhGx2VrbtUc0r1cL+CtyKM8ia89MJd28/jsaOtOUMO/3Y+HWjS4VHZFyC3eVtY2m
s0Y5YTqPubWo2kjGdHEX+ZGehCTzfsg=
-----END EC PRIVATE KEY-----
P521 key "testECCP521" π
/* qx */
521,
{ 0x01, 0xD0, 0xFD, 0x72, 0x57, 0xA8, 0x4C, 0x74,
0x7F, 0x56, 0x25, 0x75, 0xC0, 0x73, 0x85, 0xDB,
0xEB, 0xF2, 0xF5, 0x2B, 0xEA, 0x58, 0x08, 0x3D,
0xB8, 0x2F, 0xDD, 0x15, 0x31, 0xD8, 0xAA, 0xE3,
0xCC, 0x87, 0x5F, 0xF0, 0x2F, 0xF7, 0xFA, 0x2D,
0xA2, 0x60, 0xD8, 0xEB, 0x62, 0xD6, 0xD2, 0xF5,
0xD6, 0x49, 0x27, 0x8E, 0x32, 0x17, 0x36, 0xA0,
0x62, 0x8C, 0xBB, 0xB3, 0x03, 0x08, 0xB6, 0xE6,
0x18, 0xDB },
/* qy */
521,
{ 0xF6, 0x2A, 0xD2, 0x04, 0xC6, 0x46, 0x03, 0x59,
0xBC, 0x81, 0x8A, 0xB8, 0x96, 0x1B, 0xF0, 0xF0,
0xFC, 0x0E, 0xC5, 0xAA, 0xE8, 0xA4, 0x28, 0x17,
0x3C, 0xE5, 0x6F, 0x00, 0xDE, 0x9B, 0x15, 0x7C,
0x1E, 0x5C, 0x82, 0xC6, 0x4F, 0x56, 0x2F, 0xCA,
0xDE, 0xFC, 0x4A, 0x4C, 0x28, 0xF6, 0xD3, 0x42,
0xCF, 0x3E, 0xF6, 0x16, 0xFC, 0x82, 0xD3, 0x3B,
0x72, 0x85, 0xC9, 0x21, 0xF2, 0xBF, 0x36, 0xFD,
0xD8 },
/* d */
521,
{ 0x01, 0xD9, 0x24, 0xDC, 0xCA, 0x0A, 0x88, 0x7F,
0x8D, 0x99, 0x76, 0x7A, 0x37, 0xD8, 0x74, 0xE6,
0x37, 0xA1, 0x2C, 0xCB, 0x47, 0x7D, 0x6E, 0x08,
0x66, 0x53, 0x56, 0x69, 0x4D, 0x68, 0xB7, 0x65,
0x5E, 0x50, 0x69, 0x63, 0x8F, 0xDE, 0x7B, 0x45,
0xC8, 0x54, 0x01, 0x3D, 0xC7, 0x7A, 0x35, 0xB1,
0x86, 0x55, 0xB8, 0x4C, 0x96, 0x6A, 0x60, 0x22,
0x0D, 0x40, 0xF9, 0x1E, 0xD9, 0xF5, 0x14, 0x58,
0x02, 0xEA }
P521 key in encoded form:
-----BEGIN EC PRIVATE KEY-----
MIHcAgEBBEIB2STcygqIf42Zdno32HTmN6Esy0d9bghmU1ZpTWi3ZV5QaWOP3ntF
yFQBPcd6NbGGVbhMlmpgIg1A+R7Z9RRYAuqgBwYFK4EEACOhgYkDgYYABAHQ/XJX
qEx0f1YldcBzhdvr8vUr6lgIPbgv3RUx2KrjzIdf8C/3+i2iYNjrYtbS9dZJJ44y
FzagYoy7swMItuYY2wD2KtIExkYDWbyBiriWG/Dw/A7FquikKBc85W8A3psVfB5c
gsZPVi/K3vxKTCj200LPPvYW/ILTO3KFySHyvzb92A==
-----END EC PRIVATE KEY-----
3. IANA Considerations π
This document has no IANA actions. π«Ά
4. Security Considerations π
The intent of publishing known keys in this form is that they may be easily recognised as being test keys when encountered. It should go without saying that these keys should never be used or relied upon in production environments. π¨
Seriously, bestie, these keys are PUBLIC. Anyone on the planet can read them. Do not put them anywhere near production. π
The authors await the inevitable Common Vulnerabilities and Exposures (CVEs). π
Authors' Addresses π
Peter Gutmann
University of Auckland
Department of Computer Science
Auckland
New Zealand
Email: pgut001@cs.auckland.ac.nz
Corey Bonnell
DigiCert
Email: corey.bonnell@digicert.com
π¦ where this page comes from
- ietf: rfc9500 2023-12
- π girlified by claude-haiku-5-5 on : a language model's rewrite of the original, under its terms