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.\"
.IX Title "rsa 3"
.TH rsa 3 "0.9.6e" "2002-07-30" "OpenSSL"
.UC
.SH "NAME"
rsa \- \s-1RSA\s0 public key cryptosystem
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.Vb 1
\& #include <openssl/rsa.h>
.Ve
.Vb 2
\& RSA * RSA_new(void);
\& void RSA_free(RSA *rsa);
.Ve
.Vb 4
\& 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);
.Ve
.Vb 4
\& 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);
.Ve
.Vb 1
\& int RSA_size(RSA *rsa);
.Ve
.Vb 2
\& RSA *RSA_generate_key(int num, unsigned long e,
\&    void (*callback)(int,int,void *), void *cb_arg);
.Ve
.Vb 1
\& int RSA_check_key(RSA *rsa);
.Ve
.Vb 2
\& int RSA_blinding_on(RSA *rsa, BN_CTX *ctx);
\& void RSA_blinding_off(RSA *rsa);
.Ve
.Vb 9
\& void RSA_set_default_method(RSA_METHOD *meth);
\& RSA_METHOD *RSA_get_default_method(void);
\& RSA_METHOD *RSA_set_method(RSA *rsa, RSA_METHOD *meth);
\& RSA_METHOD *RSA_get_method(RSA *rsa);
\& RSA_METHOD *RSA_PKCS1_SSLeay(void);
\& RSA_METHOD *RSA_PKCS1_RSAref(void);
\& RSA_METHOD *RSA_null_method(void);
\& int RSA_flags(RSA *rsa);
\& RSA *RSA_new_method(RSA_METHOD *method);
.Ve
.Vb 2
\& int RSA_print(BIO *bp, RSA *x, int offset);
\& int RSA_print_fp(FILE *fp, RSA *x, int offset);
.Ve
.Vb 4
\& 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);
.Ve
.Vb 4
\& 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);
.Ve
.Vb 6
\& 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);
.Ve
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
These functions implement \s-1RSA\s0 public key encryption and signatures
as defined in \s-1PKCS\s0 #1 v2.0 [\s-1RFC\s0 2437].
.PP
The \fB\s-1RSA\s0\fR structure consists of several \s-1BIGNUM\s0 components. It can
contain public as well as private \s-1RSA\s0 keys:
.PP
.Vb 13
\& 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
.Ve
In public keys, the private exponent and the related secret values are
\&\fB\s-1NULL\s0\fR.
.PP
\&\fBp\fR, \fBq\fR, \fBdmp1\fR, \fBdmq1\fR and \fBiqmp\fR may be \fB\s-1NULL\s0\fR in private
keys, but the \s-1RSA\s0 operations are much faster when these values are
available.
.SH "CONFORMING TO"
.IX Header "CONFORMING TO"
\&\s-1SSL\s0, \s-1PKCS\s0 #1 v2.0
.SH "PATENTS"
.IX Header "PATENTS"
\&\s-1RSA\s0 was covered by a \s-1US\s0 patent which expired in September 2000.
.SH "SEE ALSO"
.IX Header "SEE ALSO"
rsa(1), bn(3), dsa(3), dh(3),
rand(3), RSA_new(3),
RSA_public_encrypt(3),
RSA_sign(3), RSA_size(3),
RSA_generate_key(3),
RSA_check_key(3),
RSA_blinding_on(3),
RSA_set_method(3), RSA_print(3),
RSA_get_ex_new_index(3),
RSA_private_encrypt(3),
RSA_sign_ASN1_OCTET_STRING(3),
RSA_padding_add_PKCS1_type_1(3)