<?xmlversion="1.0"?> <?xml-stylesheet type='text/xsl' href='./rfc2629.xslt' ?> <?rfc toc="yes"?> <?rfc tocdepth='5'?> <?rfc symrefs="no"?> <?rfc compact="no" ?> <?rfc sortrefs="yes" ?> <?rfc strict="yes" ?> <?rfc linkmailto="yes" ?>version="1.0" encoding="utf-8"?> <!DOCTYPE rfcSYSTEM "rfc2629.dtd" > <?xml-stylesheet type='text/xsl' href='./rfc2629.xslt' ?> <?rfc toc="yes"?> <?rfc symrefs="yes"?> <?rfc compact="no" ?> <?rfc subcompact="yes" ?> <?rfc sortrefs="yes" ?>[ <!ENTITY nbsp " "> <!ENTITY zwsp "​"> <!ENTITY nbhy "‑"> <!ENTITY wj "⁠"> ]> <rfc xmlns:xi="http://www.w3.org/2001/XInclude" submissionType="IETF" category="info" consensus="true" docName="draft-gutmann-testkeys-05" number="9500" ipr="pre5378Trust200902"docName="draft-gutmann-testkeys-05"> <!-- ======================================================================== -->obsoletes="" updates="" xml:lang="en" tocInclude="true" tocDepth="5" symRefs="true" sortRefs="true" version="3"> <front><title>Standard<title abbrev="Standard PKC Test Keys">Standard Public Key Cryptography (PKC) Test Keys</title> <seriesInfo name="RFC" value="9500"/> <author initials="P." surname="Gutmann" fullname="Peter Gutmann"> <organization abbrev="University of Auckland">University of Auckland</organization> <address> <postal><street>Department<extaddr>Department of ComputerScience</street>Science</extaddr> <city>Auckland</city> <country>New Zealand</country> </postal> <email>pgut001@cs.auckland.ac.nz</email> </address> </author> <author initials="C." surname="Bonnell" fullname="Corey Bonnell"> <organization abbrev="DigiCert">DigiCert</organization> <address> <email>corey.bonnell@digicert.com</email> </address> </author> <dateyear="2023"/> <area>Security Area</area> <keyword>Internet-Draft</keyword>year="2023" month="November"/> <area>sec</area> <abstract><t> This<t>This document provides a set of standardpublic-key cryptographyPublic Key Cryptography (PKC) test keys that may be used wherever pre-generated keys and associated operations likedigitialdigital signatures are required. Like theEICAREuropean Institute for Computer Antivirus Research (EICAR) virus test andGTUBEthe Generic Test for Unsolicited Bulk Email (GTUBE) spam test files, thesepublicly-knownpublicly 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. </t> </abstract> </front><!-- ======================================================================== --><middle><!-- ====================================================================== --><section anchor="introduction"title="Introduction"> <t> Thenumbered="true" toc="default"> <name>Introduction</name> <t>The widespread use ofPKCspublic key cryptosystems on the Internet has led to a proliferation ofpublicly-knownpublicly 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 ofthemthem, 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 isrequired, andrequired and, byextensionextension, also in situations where such keys may beusedused, 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 withspam detection products. </t> <t> Thespam-detection products.</t> <t>The keys provided cover three major algorithmfamilies, RSA, DLP-based algorithmsfamilies:</t> <ul> <li>RSA</li> <li>algorithms based on the Discrete Logarithm Problem (DLP), such as DSA,DH,Diffie-Hellman (DH), andElgamal, and ECDLP-based algorithmsElgamal</li> <li>algorithms based on the Elliptic Curve Discrete Logarithm Problem (ECDLP), such as ECDSA andECDH. AlthoughElliptic Curve Diffie-Hellman (ECDH)</li> </ul> <t>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 installedbasedbase of existing implementations that usethem. </t> <t> Thisthem.</t> <t>This document does not try to cover every possible algorithm family andtype,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 algorithmfamiliesfamilies, they should update thisdocument and,document, and for ease of implementation and use,try andthey should maintain compatibility with the format and naming conventions usedhere. </t>here.</t> </section><!-- ====================================================================== --><section anchor="keys"title="Publicly-knownnumbered="true" toc="default"> <name>Publicly Known TestKeys"> <t> ThisKeys</name> <t>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 cryptocode. </t> <t> Alongsidecode.</t> <t>Alongside thesource-codesource code format, they are also provided in encoded form, specifically the OpenSSLprivate-key formatprivate key format, which many applications can processdirectly. </t> <t> Eachdirectly.</t> <t>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. Forexampleexample, the following is a sample key component for the RSA p value, where 0xCF is the most significant byte of the RSA p valueit might be: </t> <figure> <preamble>Sample key component</preamble> <artwork><![CDATA[and 0x03 is the least significant byte of the value:</t> <sourcecode name="" type=""><![CDATA[ /* 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 },]]></artwork> </figure> <t> where 0xCF is the most-significant byte of the RSA p value and 0x03 is the least-significant byte of the value. </t> <t> In]]></sourcecode> <t>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 eachone. </t>one.</t> <section anchor="rsakeys"title="RSA Keys"> <t> Thenumbered="true" toc="default"> <name>RSA Keys</name> <t>The followingpublicly-knownpublicly known test keys may be used forRSA. </t> <figure> <preamble>RSA-1024RSA.</t> <t keepWithNext="true">RSA-1024 key"testRSA1024"</preamble> <artwork><![CDATA["testRSA1024": </t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>RSA-1024]]></sourcecode> <t>RSA-1024 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----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-----]]></artwork> </figure> <t> </t> <figure> <preamble>RSA-2048]]></sourcecode> <t keepWithNext="true">RSA-2048 key"testRSA2048"</preamble> <artwork><![CDATA["testRSA2048":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>RSA-2048]]></sourcecode> <t keepWithNext="true">RSA-2048 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----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-----]]></artwork> </figure> <figure> <preamble>RSA-4096]]></sourcecode> <t>RSA-4096 key"testRSA4096"</preamble> <artwork><![CDATA["testRSA4096":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>RSA-4096]]></sourcecode> <t>RSA-4096 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----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-----]]></artwork> </figure>]]></sourcecode> </section> <section anchor="dlpkeys"title="DLP Keys"> <t> Thenumbered="true" toc="default"> <name>DLP Keys</name> <t>The followingpublicly-knownpublicly known test keys may be used for DLP-based algorithms such as DSA, DH, andElgamal. </t> <figure> <preamble>DLP-1024Elgamal.</t> <t keepWithNext="true">DLP-1024 key"testDLP1024"</preamble> <artwork><![CDATA["testDLP1024":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>DLP-1024]]></sourcecode> <t>DLP-1024 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----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-----]]></artwork> </figure> <t> </t> <figure> <preamble>DLP-2048]]></sourcecode> <t>DLP-2048 key"testDLP2048"</preamble> <artwork><![CDATA["testDLP2048":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>DLP-2048]]></sourcecode> <t>DLP-2048 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----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-----]]></artwork> </figure> <t> </t> <figure> <preamble>DLP-4096]]></sourcecode> <t keepWithNext="true">DLP-4096 key"testDLP4096"</preamble> <artwork><![CDATA["testDLP4096":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>DLP-4096]]></sourcecode> <t keepWithNext="true">DLP-4096 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----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-----]]></artwork> </figure>]]></sourcecode> </section> <section anchor="ecdlpkeys"title="ECDLP Keys"> <t> Thenumbered="true" toc="default"> <name>ECDLP Keys</name> <t>The followingpublicly-knownpublicly known test keys may be used for ECDLP-based algorithms such as ECDSA andECDH. </t> <figure> <preamble>P256ECDH.</t> <t keepWithNext="true">P256 key"testECCP256"</preamble> <artwork><![CDATA["testECCP256":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>P256]]></sourcecode> <t>P256 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----BEGIN EC PRIVATE KEY----- MHcCAQEEIObLW92AqkWunJXowVR2Z5/+yVPBaFHnEedDk5WJxk/BoAoGCCqGSM49 AwEHoUQDQgAEQiVI+I+3gv+17KN0RFLHKh5Vj71vc75eSOkyMsxFxbFsTNEMTLjV uKFxOelIgsiZJXKZNCX0FBmrfpCkKklCcg== -----END EC PRIVATE KEY-----]]></artwork> </figure> <figure> <preamble>P384]]></sourcecode> <t keepWithNext="true">P384 key"testECCP384"</preamble> <artwork><![CDATA["testECCP384":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>P384]]></sourcecode> <t>P384 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----BEGIN EC PRIVATE KEY----- MIGkAgEBBDDiVjMo36v2gYhga5EyQoHB1YpEVkMbCdUQs1/syfMHyhgihG+iZxNx qagbrA41dJ2gBwYFK4EEACKhZANiAARbCQG4hSMpbrkZ1Q/6GpyzdLxNQJWGKCv+ yhGx2VrbtUc0r1cL+CtyKM8ia89MJd28/jsaOtOUMO/3Y+HWjS4VHZFyC3eVtY2m s0Y5YTqPubWo2kjGdHEX+ZGehCTzfsg= -----END EC PRIVATE KEY-----]]></artwork> </figure> <figure> <preamble>P521]]></sourcecode> <t keepWithNext="true">P521 key"testECCP521"</preamble> <artwork><![CDATA["testECCP521":</t> <sourcecode name="" type=""><![CDATA[ /* 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 }]]></artwork> </figure> <t> </t> <figure> <preamble>P521]]></sourcecode> <t>P521 key in encodedform</preamble> <artwork><![CDATA[form:</t> <sourcecode name="" type=""><![CDATA[ -----BEGIN EC PRIVATE KEY----- MIHcAgEBBEIB2STcygqIf42Zdno32HTmN6Esy0d9bghmU1ZpTWi3ZV5QaWOP3ntF yFQBPcd6NbGGVbhMlmpgIg1A+R7Z9RRYAuqgBwYFK4EEACOhgYkDgYYABAHQ/XJX qEx0f1YldcBzhdvr8vUr6lgIPbgv3RUx2KrjzIdf8C/3+i2iYNjrYtbS9dZJJ44y FzagYoy7swMItuYY2wD2KtIExkYDWbyBiriWG/Dw/A7FquikKBc85W8A3psVfB5c gsZPVi/K3vxKTCj200LPPvYW/ILTO3KFySHyvzb92A== -----END EC PRIVATE KEY-----]]></artwork> </figure>]]></sourcecode> </section> </section><!-- ====================================================================== --><section anchor="iana"title="IANA Considerations"> <t> Thisnumbered="true" toc="default"> <name>IANA Considerations</name> <t>This document has no IANAactions. </t>actions.</t> </section><!-- ====================================================================== --><section anchor="security"title="Security Considerations"> <t> Thenumbered="true" toc="default"> <name>Security Considerations</name> <t>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 productionenvironments. </t> <t> The author awaitsenvironments.</t> <t>The authors await the inevitableCVEs. </t>Common Vulnerabilities and Exposures (CVEs).</t> </section><!-- ====================================================================== --></middle><!-- ======================================================================== --><back> </back> </rfc>