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diff --git a/doc/rfc/rfc9500.txt b/doc/rfc/rfc9500.txt new file mode 100644 index 0000000..2ba6699 --- /dev/null +++ b/doc/rfc/rfc9500.txt @@ -0,0 +1,1444 @@ + + + + +Internet Engineering Task Force (IETF) P. Gutmann +Request for Comments: 9500 University of Auckland +Category: Informational C. Bonnell +ISSN: 2070-1721 DigiCert + December 2023 + + + Standard Public Key Cryptography (PKC) Test Keys + +Abstract + + This document provides a set of standard Public Key Cryptography + (PKC) test keys that may be used wherever pre-generated keys and + associated operations like digital signatures are required. Like the + European Institute for Computer Antivirus Research (EICAR) virus test + and the Generic Test for Unsolicited Bulk Email (GTUBE) spam test + files, these publicly known test keys can be detected and recognised + by applications consuming them as being purely for testing purposes + without assigning any security properties to them. + +Status of This Memo + + This document is not an Internet Standards Track specification; it is + published for informational purposes. + + This document is a product of the Internet Engineering Task Force + (IETF). It represents the consensus of the IETF community. It has + received public review and has been approved for publication by the + Internet Engineering Steering Group (IESG). Not all documents + approved by the IESG are candidates for any level of Internet + Standard; see Section 2 of RFC 7841. + + Information about the current status of this document, any errata, + and how to provide feedback on it may be obtained at + https://www.rfc-editor.org/info/rfc9500. + +Copyright Notice + + Copyright (c) 2023 IETF Trust and the persons identified as the + document authors. All rights reserved. + + This document is subject to BCP 78 and the IETF Trust's Legal + Provisions Relating to IETF Documents + (https://trustee.ietf.org/license-info) in effect on the date of + publication of this document. Please review these documents + carefully, as they describe your rights and restrictions with respect + to this document. Code Components extracted from this document must + include Revised BSD License text as described in Section 4.e of the + Trust Legal Provisions and are provided without warranty as described + in the Revised BSD License. + + This document may contain material from IETF Documents or IETF + Contributions published or made publicly available before November + 10, 2008. The person(s) controlling the copyright in some of this + material may not have granted the IETF Trust the right to allow + modifications of such material outside the IETF Standards Process. + Without obtaining an adequate license from the person(s) controlling + the copyright in such materials, this document may not be modified + outside the IETF Standards Process, and derivative works of it may + not be created outside the IETF Standards Process, except to format + it for publication as an RFC or to translate it into languages other + than English. + +Table of Contents + + 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 + + The widespread use of public key cryptosystems on the Internet has + led to a proliferation of publicly known but not necessarily + acknowledged keys that are used for testing purposes or that ship + preconfigured in applications. These keys provide no security, but + since there's no record of them, relying parties are often unaware + that they provide no security. In order to address this issue, this + document provides a set of standard public test keys that may be used + wherever a preconfigured or sample key is required and, by extension, + also in situations where such keys may be used, such as when testing + digitally signed data. Their purpose corresponds roughly to that of + the European Institute for Computer Antivirus Research (EICAR) test + file, a non-virus used as a test file for antivirus products, and the + Generic Test for Unsolicited Bulk Email (GTUBE) file, a similar file + used with spam-detection products. + + The keys provided cover three major algorithm families: + + * 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) + + Although some of the algorithms and key sizes are no longer + recommended, keys corresponding to those algorithms and key sizes are + provided in order to accommodate the large installed base of existing + implementations that use them. + + This document does not try to cover every possible algorithm family + and type since there are far too many of these and new ones are + constantly appearing and, in some cases, disappearing. If similar + documents are created for further algorithm families, they should + update this document, and for ease of implementation and use, they + should maintain compatibility with the format and naming conventions + used here. + +2. Publicly Known Test Keys + + This section provides the test keys for the algorithm groups in + various sizes in a C-like notation that may be directly used in + crypto code written in C-like languages such as C, C++, Java, + JavaScript, Go, Swift, and Rust, covering the majority of languages + likely to be used to implement crypto code. + + Alongside the source code format, they are also provided in encoded + form, specifically the OpenSSL private key format, which many + applications can process directly. + + Each element of the key is given in a form consisting of a count in + bits (the value from which the nominal key size is taken) followed by + a byte string containing that key element in big-endian form. For + example, the following is a sample key component for the RSA p value, + where 0xCF is the most significant byte of the RSA p value and 0x03 + is the least significant byte of the value: + + /* 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 }, + + In addition to the key data, each key is given a recommended name for + use in source code as a means of providing a standard reference for + each one. + +2.1. RSA Keys + + The following publicly known test keys may be used for RSA. + + 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: + + -----BEGIN RSA PRIVATE KEY----- + MIICXQIBAAKBgQCw0YNSqI9T1VFvRsIOejZ9feiKz1SgGfbe9Xq5tEzt2yJCsbyg + +xtcuCswNhdqY5A1ZN7G60HbL4/Hh/TlLhFJ4zNHVylz9mDDx3yp4IIcK2lb566d + fTD0B5EQ9Iqub4twLUdLKQCBfyhmJJvsEqKxm4J4QWgI+Brh/Pm3d4piPwIDAQAB + AoGASC6fj6TkLfMNdYHLQqG9kOlPfys4fstarpZD7X+fUBJ/H/7y5DzeZLGCYAIU + +QeAHWv6TfZIQjReW7Qy00RFJdgwFlTFRCsKXhG5x+IB+jL0Grr08KbgPPDgy4Jm + xirRHZVtU8lGbkiZX+omDIU28EHLNWL6rFEcTWao/tERspECQQDp2G5Nw0qYWn7H + Wm9Up1zkUTnkUkCzhqtxHbeRvNmHGKE7ryGMJEk2RmgHVstQpsvuFY4lIUSZEjAc + DUFJERhFAkEAwZH6O1ULORp8sHKDdidyleYcZU8L7y9Y3OXJYqELfddfBgFUZeVQ + duRmJj7ryu0g0uurOTE+i8VnMg/ostxiswJBAOc64Dd8uLJWKa6uug+XPr91oi0n + OFtM+xHrNK2jc+WmcSg3UJDnAI3uqMc5B+pERLq0Dc6hStehqHjUko3RnZECQEGZ + eRYWciE+Cre5dzfZkomeXE0xBrhecV0bOq6EKWLSVE+yr6mAl05ThRK9DCfPSOpy + F6rgN3QiyCA9J/1FluUCQQC5nX+PTU1FXx+6Ri2ZCi6EjEKMHr7gHcABhMinZYOt + N59pra9UdVQw9jxCU9G7eMyb0jJkNACAuEwakX3gi27b + -----END RSA PRIVATE KEY----- + + 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 } + + RSA-2048 key in encoded form: + + -----BEGIN RSA PRIVATE KEY----- + MIIEowIBAAKCAQEAsPnoGUOnrpiSqt4XynxA+HRP7S+BSObI6qJ7fQAVSPtRkqso + tWxQYLEYzNEx5ZSHTGypibVsJylvCfuToDTfMul8b/CZjP2Ob0LdpYrNH6l5hvFE + 89FU1nZQF15oVLOpUgA7wGiHuEVawrGfey92UE68mOyUVXGweJIVDdxqdMoPvNNU + l86BU02vlBiESxOuox+dWmuVV7vfYZ79Toh/LUK43YvJh+rhv4nKuF7iHjVjBd9s + B6iDjj70HFldzOQ9r8SRI+9NirupPTkF5AKNe6kUhKJ1luB7S27ZkvB3tSTT3P59 + 3VVJvnzOjaA1z6Cz+4+eRvcysqhrRgFlwI9TEwIDAQABAoIBAEEYiyDP29vCzx/+ + dS3LqnI5BjUuJhXUnc6AWX/PCgVAO+8A+gZRgvct7PtZb0sM6P9ZcLrweomlGezI + FrL0/6xQaa8bBr/ve/a8155OgcjFo6fZEw3Dz7ra5fbSiPmu4/b/kvrg+Br1l77J + aun6uUAs1f5B9wW+vbR7tzbT/mxaUeDiBzKpe15GwcvbJtdIVMa2YErtRjc1/5B2 + BGVXyvlJv0SIlcIEMsHgnAFOp1ZgQ08aDzvilLq8XVMOahAhP1O2A3X8hKdXPyrx + IVWE9bS9ptTo+eF6eNl+d7htpKGEZHUxinoQpWEBTv+iOoHsVunkEJ3vjLP3lyI/ + fY0NQ1ECgYEA3RBXAjgvIys2gfU3keImF8e/TprLge1I2vbWmV2j6rZCg5r/AS0u + pii5CvJ5/T5vfJPNgPBy8B/yRDs+6PJO1GmnlhOkG9JAIPkv0RBZvR0PMBtbp6nT + Y3yo1lwamBVBfY6rc0sLTzosZh2aGoLzrHNMQFMGaauORzBFpY5lU50CgYEAzPHl + u5DI6Xgep1vr8QvCUuEesCOgJg8Yh1UqVoY/SmQh6MYAv1I9bLGwrb3WW/7kqIoD + fj0aQV5buVZI2loMomtU9KY5SFIsPV+JuUpy7/+VE01ZQM5FdY8wiYCQiVZYju9X + Wz5LxMNoz+gT7pwlLCsC4N+R8aoBk404aF1gum8CgYAJ7VTq7Zj4TFV7Soa/T1eE + k9y8a+kdoYk3BASpCHJ29M5R2KEA7YV9wrBklHTz8VzSTFTbKHEQ5W5csAhoL5Fo + qoHzFFi3Qx7MHESQb9qHyolHEMNx6QdsHUn7rlEnaTTyrXh3ifQtD6C0yTmFXUIS + CW9wKApOrnyKJ9nI0HcuZQKBgQCMtoV6e9VGX4AEfpuHvAAnMYQFgeBiYTkBKltQ + XwozhH63uMMomUmtSG87Sz1TmrXadjAhy8gsG6I0pWaN7QgBuFnzQ/HOkwTm+qKw + AsrZt4zeXNwsH7QXHEJCFnCmqw9QzEoZTrNtHJHpNboBuVnYcoueZEJrP8OnUG3r + UjmopwKBgAqB2KYYMUqAOvYcBnEfLDmyZv9BTVNHbR2lKkMYqv5LlvDaBxVfilE0 + 2riO4p6BaAdvzXjKeRrGNEKoHNBpOSfYCOM16NjL8hIZB1CaV3WbT5oY+jp7Mzd5 + 7d56RZOE+ERK2uz/7JX9VSsM/LbH9pJibd4e8mikDS9ntciqOH/3 + -----END RSA PRIVATE KEY----- + + RSA-4096 key "testRSA4096": + + /* 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 } + + RSA-4096 key in encoded form: + + -----BEGIN RSA PRIVATE KEY----- + MIIJKAIBAAKCAgEAs4tJYOY75qjbqJqCl47x9jJE5Vd9jPWGFtXKV1nUnMjZNsM4 + qjy5sRHBSX5bUa9pLyYR5on3Z1SAwLD0w2VPQ6+F/oyK1zTgQqitoF/XZQjgC6D3 + VsNEO76DPqfRANT7Nn7r1gvbZIZ3/H3rlCRNrRr47tHGWBLAPnxz9/NY6UG8ZkWP + 97uXpJqYoRgH4CwaO5rTOlc64YDh/0Mq5VgMycq/q2AvMlvNoJfoe8em1040qH1g + ikP+suT/8fS452hqmEddtRpuvQgXKldBd0kkiyFVyLkG4NVA6Mso9MAK3J/kdYoa + w2SrOeThVSiYVEQVP+7GrUxTSLLjj/VQ9fpYM5eTNzDICIG/Ee7o/jhtW1EoSamD + mUOr89lyIHaXuOwkEaJhnVXKBCM8WiztxvKG2CnQ6Dcge3ZSmqJEhyEmjcAVC7ew + fnMxOnE+WJW6rzrf+mA5WMVn+FzyWx2AondWow0aUKHkaY7amhIrsKp6YPfNImyx + Flz8+cqDCmBswPsUh/JJ5eDHHIhibFcSgIHedsEjhLbUSLZ/DnEjru90qIWWA3R1 + VIPykKfeZkZeInsrFzGPikkFKwFF+6KDdyvCmltYEqzO46tigXAZ5UgH8oiXEre4 + 8wO6X+FH+cLzQ0q3A8HZRnNDgqCjU/Tgy76iaku/Ic6eteedR1fX3gJ/IOUCAwEA + AQKCAgBq0bC7fN8gkU/2lM6jewFL14aT6CSjS6QWS+XRaHmNOhW5dhZteimERqr3 + nbyY8cKjsYOu5GCUUnszqVRGOC0beP9Afb9Q4H2YSyDZrIvK6afaY08kiJI89VDC + Yzd+xjgbqRGIzI8f1LzoNMaG4b5xAf4eoCHgXm+P/Z1FZLt+M4TyV+qamjpTTUMH + fPOalMKaubd4G1PFvFc49m47+tHI8N5uCJCr5mCFbjt8AUGrETVVFRrtyBxttL7t + 5gpoawAYT0VaLTq7LmgR4c3qOVMLj66o+CQ2ecnfdpeMXgFYV6ylnZ/kpi0VCa5i + av+OCt+VpOsBScq3Eu8+w9YCMopsUCG6GzW4WD2akEBVA/X6D0JMcoYj/IHT3Xv/ + G/eMji69A6URLetliZhuSb0wBxrYQaPMqAdsz8eUYzCx/RwhKtPr032aTQqWlbgW + igiJMn1SbxbRVjf6nb8EsLg92LXEBS3FOLbK6ckuyXAQei8e5NR6ZcyluVluQnSR + m+fR7JDkUP5YWNwuAehOvZIH2Oog+jcUDonQENZQHyJhlxgE3nNoD+YcI1yPTmMf + 8G297mZtu5r7/aO5ccMpDXve9cV4Wgcb6Urhigsu2K5nmrqmEIUoqF4xf4eomcWJ + 9KitQpCmyh758U2NCnpm3HULabGcslgow+rwQiFcCarUqVToVQKCAQEA4EG98cm1 + aaz16AItIRuHG18pIUGlif0PbctZR2scHaQBjdeh4Qg5MnRe88Zs9/8xPu1MsWgd + 750pzD/oevetGenvNFZiycT05ucHqk6ZSWNMCGRxpVtnRsKu74dx7yGi7oq03sTC + BDxwz7qJ5esvYuoHx0vUFmdpEqlYn7PtcCiPigPRkcWKiJbosg8e3pGAztMDWfdf + SK/pfEbuWcknHnE3VUrXBVYXhI/TBBzWMEf2RiwOZuGDn2PGEtSjV/XldjVqqufG + SsC/2dZe30svNNrb32kGIMiVykTZYdoFsTYrStXarLkP9YYzXs1+HXoWAMsas3Jp + W27HcXYh276TVwKCAQEAzPVRKdO5JMg4p2zTadRunLgT/js5uvHrEBhH0x0JE1AD + qy/COUMc2m6ZCIg96KBUbjUoN9TrlctB2O7BSmbNOMIkfoKjlDkpJ7v1cKhlXg8q + wkPl+4dv0gtIdnOidy2pcMHfR6Mt6op15wlUcyKcaTyIajFtLOy/A1l7BMqeyr2j + Nm4HZIgFmyRZb1326FaX2+YqsvjMcax/dDtkEm0B8rNhJxbsp2l15RTtTXijIpC+ + CoLxRBSZK9GAPa3Jg93ydtLK4aCpA/keeL48C8r1jzzpjRI6pshfZVHFcAf+R3rI + fgOLmpSsxiDeEiWBBTRKDPs3ZVBejn7IasCG9lVkIwKCAQAvfBwxN2nPb40+TD+s + E/0ewZ6e6RyZRFlhAT7tTXPNnu2pUDB5ytj5owR8D9cBCCswTOUBZ693DktMcXfT + meAwbYV2CpiuaqMExYSs/imdDYaK/GHIBruukwihtYddgDzUz9AOn5EJfpbQlYof + ghYtlqqA+8Bz4f+wsOUQI/Qx3JTQP5C/khmMZI/vLB54OE0S/kFmamflp0IES6yq + nFpJKuXxjIBNI/ak3iNraoO8A3DVWPzPsg7B0EmfsSDJPksRJaxpddxZ9chp4ueB + 1pSvV2xZOQ7QIEj/ZGa3PogYBwVRukisbB9B+OGlwFNlAHXqQxdrSd2fO6zFjKMM + uaTPAoIBAFdahwkor9Q5ccwJ2eFVJP+uhPbqDyTaTrFBZ/tWeLO+epHPfRwiun1u + fdLhHmGzU8jU5xtEqFPjmWD4AXHQds8mD5/L1iQqaJwCxA0L+IgqNrMtdSvLAaGo + JW42wpvA3mKsfplttvgroyyhEVkw+zDvF8UK49kt3gtza7cTFLKcOJ/OLWBviNQi + neuVRNKpdXfHlZNJ7vjT6E6FsZUY2Ke0REgAwURo8lJ8pNdL/1uQDS81t9aoYNAI + LnwbQbPuOJTkKowXiXGkD5Sun7D3A8nU0EXL6yuCYwYv39Jr1bhpYGI06J8tlqWr + BHr/eQnay2TU/Ts1EdfxuUGmZN9AbbkCggEBANEMkY2p8m2pTf87CSQ8jMPUOQJt + 5iuenzesYLvXqVLLB4SUvXN+zDplDJPELtf2SQIHrplrPNH/H01jnWHd0ecSjVY8 + HBbIs52U1d5ek3/mWji4GeRp+Iw84CUh4q2p40bmob1RJ8e9sh2ixhHjX2yJ591m + oGbLIz75a60a05mUDK0FWt9cWHn4MKgIPKbWwFhYwmYDCjO/tK2DtcySny9soh5Q + KVQriuvna2lE4YY+OUc7btmtkmp9v+LHKOI8dPabsOBU8Z8UbOGeHSNrZTQwpx3E + p0riDg0UEzFmoYrfbvf+2VzEZDX/TJYjK9VkA8w5+xat8iS0/euKuvSRMb8= + -----END RSA PRIVATE KEY----- + +2.2. DLP Keys + + The following publicly known test keys may be used for DLP-based + algorithms such as DSA, DH, and Elgamal. + + DLP-1024 key "testDLP1024": + + /* 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 } + + DLP-1024 key in encoded form: + + -----BEGIN DSA PRIVATE KEY----- + MIIBuQIBAAKBgAMM38OPw+QhJ5CwpB5FtOTogN6Kv9Ouygsjj7bNcwzDGHaTNtWx + gLKAKgG+S8GrhPzi/0ibUMLSnekewOZbYGT9DeU36rocbN0n3DAwSB6LuWCqi4rv + kzUw5rHMUWC7+q+FD/ZXgRIzfVMDTkFj3GUDvfiJJYEUH6uCVbbZcnuzAhUA7EG5 + wGIdW9yvEdUZj3IIiC5lu98CgYABZIesz82VUFHgbhxb70UsEmPHXSs2UE+0J1c1 + woMyC2Oskcb0AgkyUxyrBLHNcv3yneJOJxeXp90hl2dpMfkzHR9Z7uW6LH1UrhNc + f3lBN9jYDrYpKI4mijvr0h8WpAPx1drYPBxHgBejzSZvG6SbiQ3AiSEuciYdo2ev + gDsCUAKBgAIguULCXETaUrDRdoLqxDbqfoHsn3bhBXUyqmfq3QStuP1hgboLJfKE + 2qqqBfPIQDTUF9N7bgpjMYoKeR8dDdT2ivrjNapdvqPy9tbdcwkmJH/cTRuC34wt + h66NNq253SUTV46LmapqDt9nX/wv3rZLJuW+2FMt/ZgRD8/J7fk4AhQR7Zl4WoE6 + Gw6W7NONf5vOnr/W+g== + -----END DSA PRIVATE KEY----- + + DLP-2048 key "testDLP2048": + + /* 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 } + + DLP-2048 key in encoded form: + + -----BEGIN DSA PRIVATE KEY----- + MIIDTAIBAAKCAQADLdVTfTN6kTQ3016jQz2w57chKY+6hyfy+b6FbWoUa5KYjVCC + 8sVyt3A3Y+gkVKekoiWbKazpsLybS02YXWqcjLYw5OCfSAefG+gHaXHekmhWcLlM + yWh93CM7MK8ilLAwprSX9kb5ThwX6DqQTCwbaEQQzgSP2c1kBaFKpowrj3+L0G6f + ZMS7acy/vIBWrkFKiy411iBc3vsqJKN5uKEWF1CV/1f/YVUShobZm44fJERjEnHw + nDNPNyJFL+kmP8M0nm8zB6Z1T/2J1EMnOH39QBigKupu9MY2p2nnzrc3GRlySahB + owvgxL6OyxB/OALcRYP44BKU1StiE2e9DBlTAh0BlQmy7ag7CIJzGz/onC72nbjY + NhI0XRpmpYO5EQKCAQAArF0SDkbSutaHiEfM6HCmntytyGyFnEm6963kHtk2jsI7 + ZFT7YOrarMZkKm/dMiuZqxR1gbIb6+BilOOCC8VW+lQRsxw3OzmmfVGKVHcTQVxn + rO8YvGupTJVgDLW9qDyErVjlSR0mJh7U5TWtsi41sGzCtMidotxj4p7aBvATgHJG + VYky6fLci5Mua4S0B/VxUJ0G95Qw6V1GstAmFCiEF5mYhqZxRe10agyowERBA/UD + 5rvnRWHDrNGa5XqCZ6G8PEkwg7sWxZeorJmB+3BFhxf7ZJykYdRwtLNePphk+hpZ + m8Aeb+mTClH1ebCEAXQluNChAj+u3dxX0c5WJRzaAoIBAAIwN7LZyZ51P9J5v/ze + 6ZKcm6HeqpcLA3KvczXlUCE3QpnzYQJ8jWXVevtNPM0rRyS1Pwnr4oy/SZ9rT4Yz + SRmLJLKrDUzstsT9fmctSyrKnTnjriD47Nf9dxB85Upm3e6XROSM+N1rqaUox1Hw + CMZvGSogTsf5OHaRAXmxMR2XW0klxWmQKfvRFKXnkBkKTTiblI+PV2qORaVr4NT9 + bOpjHF9TfvkYWY4wUi+TZFBmGMBFhMpv0HUSEiGkYPmAxU+AHX1tIZ3yodvqPIoD + oJ9r6Ru2KW15GiqDgOidDN0m92Y+BpqDMUmtRCssE5iHcfZUuB9Q4NcmQkfWeOrr + sPkCHGQFvN6092gpAiPOXbUqijDCitx4AtloHty0NOU= + -----END DSA PRIVATE KEY----- + + DLP-4096 key "testDLP4096": + + /* 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----- + MIIGXgIBAAKCAf8x0lVfsuiJ8yCDeHla9IhbYtATWL3xF8C4rU0ivmLMkzRbbqj8 + VAtWj1CVu6CQPsXu2MauUl2ap+SZefCObE7b9WqTKQmga20eB1eVP5BbVVKZMV9C + SPVLge9fBU2Ngk4SrquCSywvTF7eBGAw3DsWwoBZVoXKOMbnE9guTRv80z2H3iaV + S6AFvEIXdzmyDx5GE4B57eWRZM5nI+NR5LL81Q1uq7RdqI+kzVYkiupEqi5BuP8o + vTeIAIwu70vhkKCrXX2APJq+18e3dLUPqDgN1/4rPYSFo9iA71HVa0Efc+ZZ554L + /zIUU1c+xQ2d1NCuyjCdOeQ4hieVA++UmFHj1Nxxq/OniGO5dcEGJMtRc0zbWCo6 + SMbXCEeDboCLDiJIuPqKjFWjV+gwVNZIssyluKOxaJGtUjVukoca9ZmlbpDJNDOl + SlL9QuK+ZRXIzsNzlAcMJsrFyowmHS1QIYhruUxOmfp40lN8yvWhksnCr3egeDNF + HxItqeb9e4OSEp7kmlYHXxo3BQBMBr02f7/LmgdKAuFlJSct+dMzy5GbW2EUB/f3 + pNnhHtKFpHWV6nQMv6Fr0vu4CtKl5jYER4CLHsUHWLhW9tykJdk2tJ7qW36qQHmj + FT3tMhJ2TQAG8Ak2KEuW1ovJdP2vd7ZFeDY4xR6xGIqRcqA33knaSBqbAicB/zA2 + Bok/U75BEvlgGPmcz7lngn5JQDaYL68kBtJdi8xSSNsryxMCggH/GYkDGxK4g11m + XJ9CMQUkoGSe7EwsSrqsrV1UjOD69T7KOGeq5hh9X2PA9mtW6ACtXQlYjKQlvOa9 + M5drusloY9HCbk9IJ2cFY/ucpRZcPJ8UHS59d6YRlVVNnOajJbk0Kl8K3gB+7Wnz + LHhnjF8wLK+XYvzA1iLSv6X/cktZSSEcZi7T2BQer6u2KGXC8qZEpdw0DyQPc2FT + PGVkzZ4ztljBOXHs2mYuHHm1iH6iRh41pror0CCA+OXGyL57+7ls9B8H1b3JZQC1 + bFNLcDaZVo9wC5rV7/we6L4vcDlQrNO4jCQ/gqLp9QHjh4ROd6qQLcDX2W6+TkvI + s6sJZKwosVTNFTWkBlVAgzmOC+asmyb/mvTCzalVF1EVL71Mwtfxmp5/QaVuu+88 + 1R32sQhIBhWo8+2Zn+x/DzxTh1UncHSzqA1LaoRxJuG53+I4lvWxl1ODmxin5mk+ + n7E9EVijq69OBGJ965YS2VlNMyYa5ZNn/8rew7Wv/8vf7UULU4vI2I0pjt0nszbo + 9e5tRh9XQDu0bbwEttkAx0hyjeePaI/NmpApTuqV585IKjmwYugE/Mtu99E1lLk1 + DsIPtQKoTE4wlsWQqiljeHkNgZ7CxQ3V9Ub14+TZaewz2kVSFNegXKr4h7Xomwnm + ss8NVkPDhUgBiod7WhdyQCtLKfNciwKCAf8qSRFzGGURS4psb45AfVXDmrcQu0XK + upTmsYWH0o+cbGlMAZoJsm9EjCozVaVnsaDIYYIuGcb63oxDqmHDvzm2leKidFUv + 6Fx2W4oe940bQpfvTDE/6NvyIhEwxe6R+ePTu/KcxHsbq68XnLqL1FupYdcKtr16 + oHX7KhUzFPw7LDuJhm5oLHqVjTt4h/DX2PQN9V5uUV0fu4h3jq+O8ejzEZp0mIBm + fKjsxGv6ELrEZ0t3uU6w6Sp2psCBWdH0BrZoX+hbQajYBJORivUpmhxqET3i+XQn + zYfEuigqZV1qTucVAS4MdQzDseXA8ivIKtI+tMDs9ICst9cxIVfbt+DlI3jp/0bu + 7wSvR08sTFXf/895i5A/SepD0GDvI+19Y4l7yy/xOasNgF/3hYfM5vHyzjkHu9pa + ZznPYkcsohGFGNr+kHxL6ojcrjkBBzq2zGClYMmk1jMeKfiK/rmZpkrk28e/AiKp + 1Bk6IOgbQDDzKOOpy3ySYgSYR0/LZNrhu9eeSpwEdkde8PmrXomuTVqun4dgIfoL + soIXzyeNOunt3BxXvl4X3A2UjgL8Bf7fdAcF2NzcnUuc5oCTZXSUAV4FF3iW8Sn9 + /7X/SvV8ZNFR7OyOdHtyZ/otjPWXXoTC76wY3xby2JgM5AnAOhvCuVs0NBiYxqXG + KFS4UzPhSqjpAicBp3cRuJ1FUycpAboJWn/8FJyMBbAv3QQNyZiXEVvOw+YU8lV/ + nAw= + -----END DSA PRIVATE KEY----- + +2.3. ECDLP Keys + + The following publicly known test keys may be used for ECDLP-based + algorithms such as ECDSA and ECDH. + + P256 key "testECCP256": + + /* 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": + + /* 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": + + /* 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 + + This document has no IANA actions. + +4. Security Considerations + + 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. + + The authors await the inevitable Common Vulnerabilities and Exposures + (CVEs). + +Authors' Addresses + + 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 |