RSA填充方式

一、 RSA填充方式

 1, RSA_padding_add_PKCS1_type_1 : 私钥加密填充. 标志: 0x01. 填充:0xFF
 2, RSA_padding_add_PKCS1_type_2 : 公钥加密填充. 标志: 0x02. 填充:非零随机数
 3, RSA_padding_add_none : 无填充其实就是在高位填充 0x00.

二、Openssl 中关于RSA填充部分的代码(路径 : openssl/crypto/rsa/rsa_pkl.c).

// RSA 加密算法填充方式.
// memcpy(目的地址,原地址,长度);
// 私钥加密的填充 01 ,使用oxFF 填充.
int RSA_padding_add_PKCS1_type_1(unsigned char *to, int tlen,
                                 const unsigned char *from, int flen)
{
    int j;
    unsigned char *p;

    if (flen > (tlen - RSA_PKCS1_PADDING_SIZE)) {
        RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_TYPE_1,
               RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
        return (0);
    }

    p = (unsigned char *)to;

    *(p++) = 0;
    *(p++) = 1;                 /* Private Key BT (Block Type) */

    /* pad out with 0xff data */
    j = tlen - 3 - flen;
    memset(p, 0xff, j);
    p += j;
    *(p++) = '\0';
    memcpy(p, from, (unsigned int)flen);
    return (1);
}

int RSA_padding_check_PKCS1_type_1(unsigned char *to, int tlen,
                                   const unsigned char *from, int flen,
                                   int num)
{
    int i, j;
    const unsigned char *p;

    p = from;
    if ((num != (flen + 1)) || (*(p++) != 01)) {
        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_1,
               RSA_R_BLOCK_TYPE_IS_NOT_01);
        return (-1);
    }

    /* scan over padding data */
    j = flen - 1;               /* one for type. */
    for (i = 0; i < j; i++) {
        if (*p != 0xff) {       /* should decrypt to 0xff */
            if (*p == 0) {
                p++;
                break;
            } else {
                RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_1,
                       RSA_R_BAD_FIXED_HEADER_DECRYPT);
                return (-1);
            }
        }
        p++;
    }

    if (i == j) {
        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_1,
               RSA_R_NULL_BEFORE_BLOCK_MISSING);
        return (-1);
    }

    if (i < 8) {
        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_1,
               RSA_R_BAD_PAD_BYTE_COUNT);
        return (-1);
    }
    i++;                        /* Skip over the '\0' */
    j -= i;
    if (j > tlen) {
        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_1, RSA_R_DATA_TOO_LARGE);
        return (-1);
    }
    memcpy(to, p, (unsigned int)j);

    return (j);
}
// 公钥加密的填充, 使用非零随机数填充 . 02
int RSA_padding_add_PKCS1_type_2(unsigned char *to, int tlen,
                                 const unsigned char *from, int flen)
{
    int i, j;
    unsigned char *p;
    // 填充条件 : 数据长度必须小于Modulus长度 - 11 字节.
    if (flen > (tlen - 11)) {
        RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_TYPE_2,
               RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
        return (0);
    }

    p = (unsigned char *)to;

    *(p++) = 0;
    *(p++) = 2;                 /* Public Key BT (Block Type) */

    /* pad out with non-zero random data */ 
    j = tlen - 3 - flen;

    if (RAND_bytes(p, j) <= 0)
        return (0);
    for (i = 0; i < j; i++) {
        if (*p == '\0')
            do {
                if (RAND_bytes(p, 1) <= 0)
                    return (0);
            } while (*p == '\0');
        p++;
    }

    *(p++) = '\0';

    memcpy(p, from, (unsigned int)flen);
    return (1);
}

int RSA_padding_check_PKCS1_type_2(unsigned char *to, int tlen,
                                   const unsigned char *from, int flen,
                                   int num)
{
    int i;
    /* |em| is the encoded message, zero-padded to exactly |num| bytes */
    unsigned char *em = NULL;
    unsigned int good, found_zero_byte;
    int zero_index = 0, msg_index, mlen = -1;

    if (tlen < 0 || flen < 0)
        return -1;

    /*
     * PKCS#1 v1.5 decryption. See "PKCS #1 v2.2: RSA Cryptography Standard",
     * section 7.2.2.
     */

    if (flen > num)
        goto err;

    if (num < 11)
        goto err;

    em = OPENSSL_malloc(num);
    if (em == NULL) {
        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_2, ERR_R_MALLOC_FAILURE);
        return -1;
    }
    memset(em, 0, num);
    /*
     * Always do this zero-padding copy (even when num == flen) to avoid
     * leaking that information. The copy still leaks some side-channel
     * information, but it's impossible to have a fixed  memory access
     * pattern since we can't read out of the bounds of |from|.
     *
     * TODO(emilia): Consider porting BN_bn2bin_padded from BoringSSL.
     */
    memcpy(em + num - flen, from, flen);

    good = constant_time_is_zero(em[0]);
    good &= constant_time_eq(em[1], 2);

    found_zero_byte = 0;
    for (i = 2; i < num; i++) {
        unsigned int equals0 = constant_time_is_zero(em[i]);
        zero_index =
            constant_time_select_int(~found_zero_byte & equals0, i,
                                     zero_index);
        found_zero_byte |= equals0;
    }

    /*
     * PS must be at least 8 bytes long, and it starts two bytes into |em|.
     * If we never found a 0-byte, then |zero_index| is 0 and the check
     * also fails.
     */
    good &= constant_time_ge((unsigned int)(zero_index), 2 + 8);

    /*
     * Skip the zero byte. This is incorrect if we never found a zero-byte
     * but in this case we also do not copy the message out.
     */
    msg_index = zero_index + 1;
    mlen = num - msg_index;

    /*
     * For good measure, do this check in constant time as well; it could
     * leak something if |tlen| was assuming valid padding.
     */
    good &= constant_time_ge((unsigned int)(tlen), (unsigned int)(mlen));

    /*
     * We can't continue in constant-time because we need to copy the result
     * and we cannot fake its length. This unavoidably leaks timing
     * information at the API boundary.
     * TODO(emilia): this could be addressed at the call site,
     * see BoringSSL commit 0aa0767340baf925bda4804882aab0cb974b2d26.
     */
    if (!good) {
        mlen = -1;
        goto err;
    }

    memcpy(to, em + msg_index, mlen);

 err:
    if (em != NULL)
        OPENSSL_free(em);
    if (mlen == -1)
        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_2,
               RSA_R_PKCS_DECODING_ERROR);
    return mlen;
}

// 无填充
int RSA_padding_add_none(unsigned char *to, int tlen,
                         const unsigned char *from, int flen)
{
    if (flen > tlen) {
        RSAerr(RSA_F_RSA_PADDING_ADD_NONE, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
        return (0);
    }

    if (flen < tlen) {
        RSAerr(RSA_F_RSA_PADDING_ADD_NONE, RSA_R_DATA_TOO_SMALL_FOR_KEY_SIZE);
        return (0);
    }

    memcpy(to, from, (unsigned int)flen);
    return (1);
}

int RSA_padding_check_none(unsigned char *to, int tlen,
                           const unsigned char *from, int flen, int num)
{

    if (flen > tlen) {
        RSAerr(RSA_F_RSA_PADDING_CHECK_NONE, RSA_R_DATA_TOO_LARGE);
        return (-1);
    }

    memset(to, 0, tlen - flen);
    memcpy(to + tlen - flen, from, flen);
    return (tlen);
}

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