rsa(3) OpenSSL rsa(3) NNAAMMEE rsa - RSA public key cryptosystem SSYYNNOOPPSSIISS #include #include RSA * RSA_new(void); void RSA_free(RSA *rsa); int RSA_public_encrypt(int flen, unsigned char *from, unsigned char *to, RSA *rsa, int padding); int RSA_private_decrypt(int flen, unsigned char *from, unsigned char *to, RSA *rsa, int padding); int RSA_private_encrypt(int flen, unsigned char *from, unsigned char *to, RSA *rsa,int padding); int RSA_public_decrypt(int flen, unsigned char *from, unsigned char *to, RSA *rsa,int padding); int RSA_sign(int type, unsigned char *m, unsigned int m_len, unsigned char *sigret, unsigned int *siglen, RSA *rsa); int RSA_verify(int type, unsigned char *m, unsigned int m_len, unsigned char *sigbuf, unsigned int siglen, RSA *rsa); int RSA_size(const RSA *rsa); RSA *RSA_generate_key(int num, unsigned long e, void (*callback)(int,int,void *), void *cb_arg); int RSA_check_key(RSA *rsa); int RSA_blinding_on(RSA *rsa, BN_CTX *ctx); void RSA_blinding_off(RSA *rsa); void RSA_set_default_method(const RSA_METHOD *meth); const RSA_METHOD *RSA_get_default_method(void); int RSA_set_method(RSA *rsa, const RSA_METHOD *meth); const RSA_METHOD *RSA_get_method(const RSA *rsa); RSA_METHOD *RSA_PKCS1_SSLeay(void); RSA_METHOD *RSA_null_method(void); int RSA_flags(const RSA *rsa); RSA *RSA_new_method(ENGINE *engine); int RSA_print(BIO *bp, RSA *x, int offset); int RSA_print_fp(FILE *fp, RSA *x, int offset); int RSA_get_ex_new_index(long argl, char *argp, int (*new_func)(), int (*dup_func)(), void (*free_func)()); int RSA_set_ex_data(RSA *r,int idx,char *arg); char *RSA_get_ex_data(RSA *r, int idx); int RSA_sign_ASN1_OCTET_STRING(int dummy, unsigned char *m, unsigned int m_len, unsigned char *sigret, unsigned int *siglen, RSA *rsa); int RSA_verify_ASN1_OCTET_STRING(int dummy, unsigned char *m, unsigned int m_len, unsigned char *sigbuf, unsigned int siglen, RSA *rsa); DDEESSCCRRIIPPTTIIOONN These functions implement RSA public key encryption and signatures as defined in PKCS #1 v2.0 [RFC 2437]. The RRSSAA structure consists of several BIGNUM components. It can contain public as well as private RSA keys: struct { BIGNUM *n; // public modulus BIGNUM *e; // public exponent BIGNUM *d; // private exponent BIGNUM *p; // secret prime factor BIGNUM *q; // secret prime factor BIGNUM *dmp1; // d mod (p-1) BIGNUM *dmq1; // d mod (q-1) BIGNUM *iqmp; // q^-1 mod p // ... }; RSA In public keys, the private exponent and the related secret values are NNUULLLL. pp, qq, ddmmpp11, ddmmqq11 and iiqqmmpp may be NNUULLLL in private keys, but the RSA operations are much faster when these values are available. Note that RSA keys may use non-standard RRSSAA__MMEETTHHOODD implementations, either directly or by the use of EENNGGIINNEE modules. In some cases (eg. an ENGINE providing support for hardware-embedded keys), these BIGNUM val- ues will not be used by the implementation or may be used for alterna- tive data storage. For this reason, applications should generally avoid using RSA structure elements directly and instead use API functions to query or modify keys. CCOONNFFOORRMMIINNGG TTOO SSL, PKCS #1 v2.0 PPAATTEENNTTSS RSA was covered by a US patent which expired in September 2000. SSEEEE AALLSSOO _r_s_a(1), _b_n(3), _d_s_a(3), _d_h(3), _r_a_n_d(3), _e_n_g_i_n_e(3), _R_S_A___n_e_w(3), _R_S_A___p_u_b_- _l_i_c___e_n_c_r_y_p_t(3), _R_S_A___s_i_g_n(3), _R_S_A___s_i_z_e(3), _R_S_A___g_e_n_e_r_a_t_e___k_e_y(3), _R_S_A___c_h_e_c_k___k_e_y(3), _R_S_A___b_l_i_n_d_i_n_g___o_n(3), _R_S_A___s_e_t___m_e_t_h_o_d(3), _R_S_A___p_r_i_n_t(3), _R_S_A___g_e_t___e_x___n_e_w___i_n_d_e_x(3), _R_S_A___p_r_i_v_a_t_e___e_n_c_r_y_p_t(3), _R_S_A___s_i_g_n___A_S_N_1___O_C_T_E_T___S_T_R_I_N_G(3), _R_S_A___p_a_d_d_i_n_g___a_d_d___P_K_C_S_1___t_y_p_e___1(3) 1.0.1u 2016-09-22 rsa(3)