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将公钥和私钥与RSA密钥对变量分开

更新时间:2023-01-18 09:58:23

我想将[keypair]分开并单独使用它们进行加密/解密

I want to split [the keypair] apart and use them individually to encrypt/decrypt

...关于如何分离密钥,然后将它们重新组合成密钥对"的任何想法,或者可能如何分别使用它们来加密/解密某些字符串变量?

... Any ideas on how to separate the keys, then maybe put them back together in a "keypair" or maybe how to use them separately to encrypt/decrypt some string variables?

您可以使用RSAPublicKey_dupRSAPrivateKey_dup,而无需通过ASN.1/DER或PEM编码对其进行往返.在这里,往返行程包括使用PEM_write_bio_RSAPublicKeyPEM_read_bio_RSAPublicKey之类的功能.

You can use RSAPublicKey_dup and RSAPrivateKey_dup, without the need to round trip them by ASN.1/DER or PEM encoding them. Here, round tripping consist of using a functions like PEM_write_bio_RSAPublicKey and PEM_read_bio_RSAPublicKey.

下面是一个使用它们的示例程序.它是用C ++编写的(感谢添加该标签).

Below is a sample program that uses them. Its written in C++ (thanks for adding that tag).

虽然您可以将它们分开,但它们都使用RSA结构.公钥将某些成员设置为NULL,例如私钥.

While you can separate them, they both use the RSA structure. The public key has some members set to NULL, like the private exponent.

您还可以与RSA_printRSA_print_fp和朋友一起打印按键.请参见 RSA_print (3) 或下面的用法.

You can also print the keys with RSA_print, RSA_print_fp and friends. See RSA_print (3) or its use below.

// g++ -Wall -Wextra -std=c++11 -stdlib=libc++ -I/usr/local/ssl/macosx-x64/include \
//     t.cpp -o t.exe /usr/local/ssl/macosx-x64/lib/libcrypto.a

#include <memory>
using std::unique_ptr;

#include <openssl/bn.h>
#include <openssl/rsa.h>

#include <cassert>
#define ASSERT assert

using BN_ptr = std::unique_ptr<BIGNUM, decltype(&::BN_free)>;
using RSA_ptr = std::unique_ptr<RSA, decltype(&::RSA_free)>;

int main(int argc, char* argv[])
{
    int rc;

    RSA_ptr rsa(RSA_new(), ::RSA_free);
    BN_ptr bn(BN_new(), ::BN_free);

    rc = BN_set_word(bn.get(), RSA_F4);
    ASSERT(rc == 1);

    rc = RSA_generate_key_ex(rsa.get(), 2048, bn.get(), NULL);
    ASSERT(rc == 1);

    RSA_ptr rsa_pub(RSAPublicKey_dup(rsa.get()), ::RSA_free);
    RSA_ptr rsa_priv(RSAPrivateKey_dup(rsa.get()), ::RSA_free);

    fprintf(stdout, "\n");
    RSA_print_fp(stdout, rsa_pub.get(), 0);

    fprintf(stdout, "\n");
    RSA_print_fp(stdout, rsa_priv.get(), 0);

    return 0;
}

以下是输出:

$ ./t.exe 

Public-Key: (2048 bit)
Modulus:
    00:aa:5a:cc:30:52:f1:e9:49:3d:a6:25:00:33:29:
    a6:fa:f7:53:e0:3c:73:4c:91:41:66:20:ec:62:1f:
    27:2a:2a:6c:0f:90:f8:d9:7e:d5:ec:72:7b:38:8c:
    ca:12:60:f8:d1:fb:f2:65:7c:b1:3a:b6:4e:26:ba:
    5b:86:cc:30:f2:fc:be:c3:a2:00:b9:ea:81:fa:1c:
    22:4e:f7:be:a1:1a:66:90:13:b6:12:66:26:23:6d:
    22:15:7d:3b:a4:99:44:38:fa:1c:70:63:4e:50:6f:
    66:38:6c:f6:1a:13:e1:c7:dc:a6:a1:eb:6f:f9:c9:
    59:c8:30:dc:c2:1b:dc:6c:9d:ea:0c:3d:52:5a:00:
    ea:c9:c9:85:51:21:9f:ec:95:b3:dc:c2:50:21:29:
    c2:64:6c:1e:34:36:d8:61:59:ab:3c:a2:cc:e8:ef:
    57:c3:7f:49:86:be:e3:42:88:1b:39:10:b8:2f:fa:
    81:ef:a0:94:99:0c:71:ae:1e:82:7f:e3:6e:00:6e:
    02:13:66:bb:a9:31:58:ec:90:39:9c:bc:9c:8c:90:
    e9:20:f7:20:8e:d6:a3:a3:df:a2:4a:0f:0f:39:b5:
    57:b9:ef:6a:27:e0:1a:ed:f6:ce:0d:87:cd:43:03:
    bf:67:ef:ff:fd:da:98:cc:22:ab:5e:8d:7b:43:d3:
    90:4d
Exponent: 65537 (0x10001)

Private-Key: (2048 bit)
modulus:
    00:aa:5a:cc:30:52:f1:e9:49:3d:a6:25:00:33:29:
    a6:fa:f7:53:e0:3c:73:4c:91:41:66:20:ec:62:1f:
    27:2a:2a:6c:0f:90:f8:d9:7e:d5:ec:72:7b:38:8c:
    ca:12:60:f8:d1:fb:f2:65:7c:b1:3a:b6:4e:26:ba:
    5b:86:cc:30:f2:fc:be:c3:a2:00:b9:ea:81:fa:1c:
    22:4e:f7:be:a1:1a:66:90:13:b6:12:66:26:23:6d:
    22:15:7d:3b:a4:99:44:38:fa:1c:70:63:4e:50:6f:
    66:38:6c:f6:1a:13:e1:c7:dc:a6:a1:eb:6f:f9:c9:
    59:c8:30:dc:c2:1b:dc:6c:9d:ea:0c:3d:52:5a:00:
    ea:c9:c9:85:51:21:9f:ec:95:b3:dc:c2:50:21:29:
    c2:64:6c:1e:34:36:d8:61:59:ab:3c:a2:cc:e8:ef:
    57:c3:7f:49:86:be:e3:42:88:1b:39:10:b8:2f:fa:
    81:ef:a0:94:99:0c:71:ae:1e:82:7f:e3:6e:00:6e:
    02:13:66:bb:a9:31:58:ec:90:39:9c:bc:9c:8c:90:
    e9:20:f7:20:8e:d6:a3:a3:df:a2:4a:0f:0f:39:b5:
    57:b9:ef:6a:27:e0:1a:ed:f6:ce:0d:87:cd:43:03:
    bf:67:ef:ff:fd:da:98:cc:22:ab:5e:8d:7b:43:d3:
    90:4d
publicExponent: 65537 (0x10001)
privateExponent:
    66:a4:ce:e3:4f:16:f3:b9:6d:ab:ee:1f:70:b4:68:
    28:4f:5d:fa:7e:71:fa:70:8b:37:3e:1f:30:00:15:
    59:12:b6:89:aa:90:46:7c:65:e9:52:11:6c:c1:68:
    00:2a:ed:c1:98:4d:35:59:2c:70:73:e8:22:ed:a6:
    b8:51:d0:2c:98:9d:58:c3:04:2d:01:5f:cf:93:a4:
    18:70:ae:2b:e3:fc:68:53:78:21:1d:eb:5c:ed:24:
    dc:4d:d8:e2:14:77:46:dd:6c:c5:4b:10:a4:e6:7a:
    71:05:36:44:00:36:ca:75:e8:f1:27:2b:11:16:81:
    42:5e:2e:a5:c6:a3:c9:cd:60:59:ce:72:71:76:c8:
    ca:ba:f0:45:c3:86:07:7b:22:20:c4:74:c6:a8:ab:
    7c:2c:f8:de:ea:25:95:81:79:33:54:67:7b:61:91:
    80:a8:1f:4c:38:32:d4:4d:2e:a8:7d:9b:d4:1a:3e:
    6b:ca:50:3c:a0:61:0e:00:ad:f4:5c:0f:26:1a:59:
    00:3c:bd:ee:c3:e8:d0:b8:9b:0e:44:89:49:d1:24:
    a4:39:15:dc:0e:c5:d5:41:a2:4a:f4:e5:e3:23:c7:
    98:8a:87:f7:18:a6:e2:7b:27:83:f6:fb:62:42:46:
    ae:de:ba:48:ad:07:39:40:da:65:17:d1:d2:ed:df:
    01
prime1:
    00:dd:dc:70:b5:70:ea:10:20:28:40:a0:c3:b8:70:
    6d:3d:84:c0:57:2d:69:fc:e9:d4:55:ed:4f:ac:3d:
    c2:e9:19:49:f0:ab:c6:bd:99:9e:0f:e5:a4:61:d4:
    b3:c5:c2:b1:e4:3a:10:ff:e6:cd:ce:6e:2d:93:bc:
    87:12:92:87:7c:d3:dd:bc:32:54:9e:fa:67:b1:9d:
    e2:27:53:e6:03:a7:22:17:45:63:0d:42:f3:96:5d:
    a3:e0:9c:93:f0:42:8b:bb:95:34:e6:f6:0b:f7:b6:
    c5:59:a0:b5:2a:71:59:c0:f2:7e:bf:95:2d:dd:6d:
    94:23:2a:95:4a:4f:f1:d0:93
prime2:
    00:c4:91:6a:33:1b:db:24:eb:fd:d3:69:e9:3c:e2:
    a2:2d:23:7a:92:65:a8:a0:50:1d:0a:2b:b4:f0:64:
    e4:40:57:f3:dc:f7:65:18:7d:51:75:73:b9:d6:67:
    9b:0e:94:5f:37:02:6c:7f:eb:b9:13:4b:bf:8e:65:
    22:0b:2c:c6:8d:2a:a2:88:ec:21:e3:f9:0b:78:b4:
    1d:d0:44:e6:36:0d:ec:3c:8f:0a:c7:3b:0d:91:65:
    b7:de:a3:c9:a3:2a:8c:7f:1f:a1:d2:6e:9b:ee:23:
    78:c1:30:76:87:af:a8:11:a4:15:b4:54:16:d8:94:
    71:5c:64:30:43:58:b5:07:9f
exponent1:
    2f:91:e8:88:be:e1:30:fb:f4:25:87:52:ef:e5:0b:
    47:39:83:94:2d:a4:a0:19:f2:f1:49:a4:df:a5:8e:
    79:34:76:ea:27:aa:c1:54:82:d3:9d:c5:95:44:6a:
    17:69:1b:83:77:ff:d5:1e:c3:da:13:3d:aa:83:ad:
    e2:89:90:8b:6f:52:07:dc:32:d0:b3:98:30:39:4e:
    18:68:a0:d4:ff:ad:0b:98:51:18:b2:d6:4f:d3:5c:
    23:f8:ee:af:81:55:3c:af:4d:5c:88:3d:20:ac:0b:
    bc:9f:fc:b8:50:fd:91:a5:6d:0f:df:08:aa:85:a8:
    51:b1:fb:b8:a7:53:8e:09
exponent2:
    7d:46:0b:7f:ad:06:19:de:c8:b2:7e:f2:25:5a:6e:
    6f:04:08:6e:da:99:00:2a:6e:87:77:d9:65:c7:76:
    ec:46:e1:64:f6:ca:18:34:6d:c0:c3:d3:31:00:70:
    82:77:2e:c3:59:29:1a:d1:78:ef:02:3c:7f:9c:96:
    78:b6:bd:87:64:1f:97:d1:9d:bb:b3:91:8b:08:87:
    63:9f:35:74:47:a5:41:e7:0b:c0:73:33:2f:71:bb:
    20:0a:14:4c:87:a6:68:b2:19:28:8a:53:98:0e:45:
    3c:22:0d:b8:65:cb:60:0a:c9:c6:56:3d:05:24:7d:
    a6:9b:37:63:04:5a:c3:13
coefficient:
    00:cc:d7:5c:e6:0e:7b:79:d4:cb:4f:6d:82:a7:45:
    90:67:90:dc:d3:83:62:f1:4b:17:43:5c:4a:ea:bf:
    38:25:c3:6f:34:e2:05:91:5e:60:d6:de:6d:07:1a:
    73:71:b3:1d:73:f2:3c:60:ed:ec:42:d4:39:f8:a4:
    ae:d5:aa:40:1e:90:b1:eb:b1:05:a3:2f:03:5f:c6:
    b7:07:4c:df:0f:c4:a9:80:8c:31:f5:e2:01:00:73:
    8a:25:03:84:4e:48:7a:31:8e:e6:b8:04:4c:44:61:
    7d:e4:87:1c:57:4f:45:44:33:bb:f3:ae:1c:d2:e1:
    99:ed:78:29:76:4d:8c:6d:91


相关,您从不询问如何使用RSA密钥进行加密或解密,但是您声称对加密和解密问题的答案显示在答案中的代码中.


Related, you never ask how to encrypt or decrypt with a RSA key, yet you claim the answer to the encryption and decryption problems is shown in the code in your answer.

您似乎已经使问题成为一个移动的目标:)您可能应该避免在Stack Overflow上出现该问题(我认为在那些用户线程论坛中可以这样做).在堆栈溢出时,您应该问一个单独的问题.

You seem to have made the question a moving target :) You should probably avoid that on Stack Overflow (I think its OK to do in those user thread forums). On Stack Overflow, you should ask a separate question.