RSA私钥文件（PEM-PKCS#1）解析 转

2019-11-24 00:38:48 浏览数 (1)

在PKCS#1 RSA算法标准中定义RSA私钥语法

RSAPrivateKey ::= SEQUENCE { version Version, //版本 modulus INTEGER, // RSA合数模 n publicExponent INTEGER, //RSA公开幂 e privateExponent INTEGER, //RSA私有幂 d prime1 INTEGER, //n的素数因子p prime2 INTEGER, //n的素数因子q exponent1 INTEGER, //值 d mod (p-1) exponent2 INTEGER, //值 d mod (q-1) coefficient INTEGER, //CRT系数 (inverse of q) mod p otherPrimeInfos OtherPrimeInfos OPTIONAL }

otherPrimeInfos 按顺序包含了其它素数r3, …, ru的信息。如果version是0 ，它应该被忽略；而如果version是1，它应该至少包含OtherPrimeInfo的一个实例。 OtherPrimeInfos ::= SEQUENCE SIZE(1..MAX) OF OtherPrimeInfo OtherPrimeInfo ::= SEQUENCE { prime INTEGER, //ri – n的一个素数因子ri ，其中i ≥ 3 exponent INTEGER, //di – di = d mod (ri ? 1) coefficient INTEGER //ti – CRT系数 ti = (r1 · r2 · … · ri–1)–1 mod ri }

RSAPrivateKey 和OtherPrimeInfo各域的意义，如注释所示。

本文讲述适用范围：已知各域值，组装RSA私钥文件，即PEM文件。

PEM文件组成是TLV结构。

一、数据实例，各域值如下：

  1. version: 00
  2. moudlus: c1f7f7196d9ef4b97abede2d5322d76c17fdf9592c39511027268293a14603b6 5d5425c99cfb5194d37b73487d26e31edf35cfe1e7f58366b5adb35d18f8cdb1 401264ed35a3e26dc131c099eca45ac23dbc2e1a0d00f6defd6428a6431429b2 744943f2e1dffe00bbd1dcf22ec7c0dde553659763c8c11db883ccb6de0de91d 5d2bcffe57e368bf5a1799bbd6f978706793dc7aa710c1cf00725827df6651e2 15ca4bc83509c89bb257479a2833fa972f4344799c37f8217b704c9e5ae2e09d 1d5941ddd4caf71d12a823fdf421930df034220bd8ee37fc8b0543f1f2f49ade 6a7ffcc7ab9d1edab4b07b7f33a72f0c660ea3c46fd7c1243ed956244e506463
  3. publicExponent: 010001
  4. privateExponent: a6c362cd98e2b5f295a66dec37f2d7951697837e78381b0ab12e39cb653785cf 8f33de7d151b398ba3bb1a65733c30be851785cfea96b94f5fd9a440e14c5fc4 099b06ecae566541097d95e28082d988f07cce8215360409b97f1837c1aa1f23 4f3902535a8132a73cd3748b3f4efbf18acd85a57fe3c4aca1cba7007daf2600 5ac200c6fbc7baac75eb4ddc25f40a911fb9f2e9e896177def1de96fbcf8563f 0d3ff0c6ca578b937f635db4dfd7375ecf2ddd3afd7ce7e27a01555e4de382c9 11e250b16045d9228e32be1d635cbf649a3c6b7ecf2fe65471dc7b1e219348f9 cb9393f480b9faa3d40d0f88441502a5912a7470b33cc1f4e42903d924b7f5d9
  5. prime1: e03ec42723797e4ef903ce5d2b4576885f9c2fe0ab9c4cd79cb15f970b792472 4b1b65f3f8142311f48fcd6c16df881c58fbd67e234171a6f1c0285b439eea32 1342c42580eaa4431fb0181498922cbc169234630b6ad1f033127e4340ef1095 d42781e21992073f8f42bb844b5108a2ebb188252a858315f81843b89ad5ae87
  6. prime2: dd6fa073b6ecdfaf0da10ab409c883a0147501afe5c3b8ab02ff5865c366d28f c678b1c6af3c0d577ee03d12fc7f6fad298555044c11db602793f2aae4c542de 2f6c905bce239facad40c919866776c76d48fa684045d2d804127fc637d9ebb0 9ffd5994512caaa3193f8ddc2676551b5abb70c7732ac12759e0c0d8dbf15645
  7. exponent1: 550ffa204e989b8d21708c2b536aba17e90cba2ca36c5ac9bf2a9974166a11a5 39505f50385e8b1f1882240e486eea96b63a7196cf90d7a7d834681a9680059e 9127d677d37b2e6c37ecf875779a9b558dca500cf21bc71f3280655ce598c9d5 cbf060987fd2a0e53f56b502edff0323a9fc62049728a61d034b510509d6dca9
  8. exponent2: d077dde3f2ac30ae3a3389c3138ecdb4706df387a8d5494ede848cb14973ccfa 048cee3932126431224673d92313ca8c8891790791a22218f549c8e4f07971c9 817640b5dd6d164f57d0ad42b5914476ddc11dd5f5e4866a4df3288df158dd16 2c9934b3787487b502f91d51cc780d09b2b2d2ab4316563ff8d2aa5bbf3d06cd
  9. coefficient: 46573748247030d0fc2fd9b602e7a0e26ef50509571d97e1c9bcb750b154d08a 1e75fac22e3f521a6d52da0950c1b322fd0ecb55014bd0ec328ce6b6a342dc9d 048d7488ad9d3db722fa450049f27a1584905170f7ce42eab1197d1df6c819f6 0066b987fc1e53b77ce865fcae091121b8b8c93457b85bb9d6d331e525f6729d

二、组装PEM文件

  1. 按照以上数据域顺序依次组装成TLV。

①version组装 020100 说明： 02 – tag 01 – length 00 – value(version)

② modulus组装 0282010100 c1f7f7196d9ef4b97abede2d5322d76c17fdf9592c39511027268293a14603b6 5d5425c99cfb5194d37b73487d26e31edf35cfe1e7f58366b5adb35d18f8cdb1 401264ed35a3e26dc131c099eca45ac23dbc2e1a0d00f6defd6428a6431429b2 744943f2e1dffe00bbd1dcf22ec7c0dde553659763c8c11db883ccb6de0de91d 5d2bcffe57e368bf5a1799bbd6f978706793dc7aa710c1cf00725827df6651e2 15ca4bc83509c89bb257479a2833fa972f4344799c37f8217b704c9e5ae2e09d 1d5941ddd4caf71d12a823fdf421930df034220bd8ee37fc8b0543f1f2f49ade 6a7ffcc7ab9d1edab4b07b7f33a72f0c660ea3c46fd7c1243ed956244e506463

说明： 02 – tag 82 – 81代表长度用1byte表示，82代表长度用2byte表示（此字节部分tag后不存在） 0101 – length 2bytes表示 00 – 在modulus数据前添加00，原因未知，请知情道友告知。

③publicExponent组装 0203010001

④privateExponent组装 0282010100 a6c362cd98e2b5f295a66dec37f2d7951697837e78381b0ab12e39cb653785cf 8f33de7d151b398ba3bb1a65733c30be851785cfea96b94f5fd9a440e14c5fc4 099b06ecae566541097d95e28082d988f07cce8215360409b97f1837c1aa1f23 4f3902535a8132a73cd3748b3f4efbf18acd85a57fe3c4aca1cba7007daf2600 5ac200c6fbc7baac75eb4ddc25f40a911fb9f2e9e896177def1de96fbcf8563f 0d3ff0c6ca578b937f635db4dfd7375ecf2ddd3afd7ce7e27a01555e4de382c9 11e250b16045d9228e32be1d635cbf649a3c6b7ecf2fe65471dc7b1e219348f9 cb9393f480b9faa3d40d0f88441502a5912a7470b33cc1f4e42903d924b7f5d9

⑤prime1组装 02818100 e03ec42723797e4ef903ce5d2b4576885f9c2fe0ab9c4cd79cb15f970b792472 4b1b65f3f8142311f48fcd6c16df881c58fbd67e234171a6f1c0285b439eea32 1342c42580eaa4431fb0181498922cbc169234630b6ad1f033127e4340ef1095 d42781e21992073f8f42bb844b5108a2ebb188252a858315f81843b89ad5ae87

⑥prime2组装 02818100 dd6fa073b6ecdfaf0da10ab409c883a0147501afe5c3b8ab02ff5865c366d28f c678b1c6af3c0d577ee03d12fc7f6fad298555044c11db602793f2aae4c542de 2f6c905bce239facad40c919866776c76d48fa684045d2d804127fc637d9ebb0 9ffd5994512caaa3193f8ddc2676551b5abb70c7732ac12759e0c0d8dbf15645

⑦exponent1组装 028180 550ffa204e989b8d21708c2b536aba17e90cba2ca36c5ac9bf2a9974166a11a5 39505f50385e8b1f1882240e486eea96b63a7196cf90d7a7d834681a9680059e 9127d677d37b2e6c37ecf875779a9b558dca500cf21bc71f3280655ce598c9d5 cbf060987fd2a0e53f56b502edff0323a9fc62049728a61d034b510509d6dca9

⑧exponent2组装 02818100 d077dde3f2ac30ae3a3389c3138ecdb4706df387a8d5494ede848cb14973ccfa 048cee3932126431224673d92313ca8c8891790791a22218f549c8e4f07971c9 817640b5dd6d164f57d0ad42b5914476ddc11dd5f5e4866a4df3288df158dd1

⑨coefficient组装 028180 46573748247030d0fc2fd9b602e7a0e26ef50509571d97e1c9bcb750b154d08a 1e75fac22e3f521a6d52da0950c1b322fd0ecb55014bd0ec328ce6b6a342dc9d 048d7488ad9d3db722fa450049f27a1584905170f7ce42eab1197d1df6c819f6 0066b987fc1e53b77ce865fcae091121b8b8c93457b85bb9d6d331e525f6729d

  1. 输出PEM文件 ①输出以上数据域的总TLV：308204a4到PEM文件； ②依次输出以上组装后的数据到PEM文件。

至此，PEM文件已生成。 本文实例数据对应PEM文件，如图：

对此PEM文件进行Base64编码，即得到RSA私钥： —–BEGIN RSA PRIVATE KEY—– MIIEpAIBAAKCAQEAwff3GW2e9Ll6vt4tUyLXbBf9 VksOVEQJyaCk6FGA7ZdVCXJ nPtRlNN7c0h9JuMe3zXP4ef1g2a1rbNdGPjNsUASZO01o JtwTHAmeykWsI9vC4a DQD23v1kKKZDFCmydElD8uHf/gC70dzyLsfA3eVTZZdjyMEduIPMtt4N6R1dK8/ V Nov1oXmbvW XhwZ5PceqcQwc8Aclgn32ZR4hXKS8g1CcibsldHmigz pcvQ0R5 nDf4IXtwTJ5a4uCdHVlB3dTK9x0SqCP99CGTDfA0IgvY7jf8iwVD8fL0mt5qf/zH q50e2rSwe38zpy8MZg6jxG/XwSQ 2VYkTlBkYwIDAQABAoIBAQCmw2LNmOK18pWm bew38teVFpeDfng4GwqxLjnLZTeFz48z3n0VGzmLo7saZXM8ML6FF4XP6pa5T1/Z pEDhTF/ECZsG7K5WZUEJfZXigILZiPB8zoIVNgQJuX8YN8GqHyNPOQJTWoEypzzT dIs/Tvvxis2FpX/jxKyhy6cAfa8mAFrCAMb7x7qsdetN3CX0CpEfufLp6JYXfe8d 6W 8 FY/DT/wxspXi5N/Y12039c3Xs8t3Tr9fOfiegFVXk3jgskR4lCxYEXZIo4y vh1jXL9kmjxrfs8v5lRx3HseIZNI cuTk/SAufqj1A0PiEQVAqWRKnRwszzB9OQp A9kkt/XZAoGBAOA xCcjeX5O QPOXStFdohfnC/gq5xM15yxX5cLeSRySxtl8/gU IxH0j81sFt IHFj71n4jQXGm8cAoW0Oe6jITQsQlgOqkQx wGBSYkiy8FpI0Ywtq 0fAzEn5DQO8QldQngeIZkgc/j0K7hEtRCKLrsYglKoWDFfgYQ7ia1a6HAoGBAN1v oHO27N vDaEKtAnIg6AUdQGv5cO4qwL/WGXDZtKPxnixxq88DVd 4D0S/H9vrSmF VQRMEdtgJ5PyquTFQt4vbJBbziOfrK1AyRmGZ3bHbUj6aEBF0tgEEn/GN9nrsJ/9 WZRRLKqjGT N3CZ2VRtau3DHcyrBJ1ngwNjb8VZFAoGAVQ/6IE6Ym40hcIwrU2q6 F kMuiyjbFrJvyqZdBZqEaU5UF9QOF6LHxiCJA5IbuqWtjpxls Q16fYNGgaloAF npEn1nfTey5sN z4dXeam1WNylAM8hvHHzKAZVzlmMnVy/BgmH/SoOU/VrUC7f8D I6n8YgSXKKYdA0tRBQnW3KkCgYEA0Hfd4/KsMK46M4nDE47NtHBt84eo1UlO3oSM sUlzzPoEjO45MhJkMSJGc9kjE8qMiJF5B5GiIhj1Scjk8HlxyYF2QLXdbRZPV9Ct QrWRRHbdwR3V9eSGak3zKI3xWN0WLJk0s3h0h7UC R1RzHgNCbKy0qtDFlY/ NKq W789Bs0CgYBGVzdIJHAw0Pwv2bYC56DibvUFCVcdl HJvLdQsVTQih51 sIuP1Ia bVLaCVDBsyL9DstVAUvQ7DKM5rajQtydBI10iK2dPbci kUASfJ6FYSQUXD3zkLq sRl9HfbIGfYAZrmH/B5Tt3zoZfyuCREhuLjJNFe4W7nW0zHlJfZynQ== —–END RSA PRIVATE KEY—–

三、通过OpenSSL命令，获得私钥中各个参数的值：

命令：openssl rsa -in private_rsa.pem -text -out private.txt

然后就可以在private.txt文件中查看RSA密钥中各个参数的值

转载自：http://blog.csdn.net/xuanshao_/article/details/51672547

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