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126 .IX Title "rsa 3"
127 .TH rsa 3 "2007-10-24" "0.9.8g" "OpenSSL"
128 .\" For nroff, turn off justification. Always turn off hyphenation; it makes
129 .\" way too many mistakes in technical documents.
130 .if n .ad l
131 .nh
132 .SH "NAME"
133 rsa \- RSA public key cryptosystem
134 .SH "SYNOPSIS"
135 .IX Header "SYNOPSIS"
136 .Vb 2
137 \& #include <openssl/rsa.h>
138 \& #include <openssl/engine.h>
139 \&
140 \& RSA * RSA_new(void);
141 \& void RSA_free(RSA *rsa);
142 \&
143 \& int RSA_public_encrypt(int flen, unsigned char *from,
144 \& unsigned char *to, RSA *rsa, int padding);
145 \& int RSA_private_decrypt(int flen, unsigned char *from,
146 \& unsigned char *to, RSA *rsa, int padding);
147 \& int RSA_private_encrypt(int flen, unsigned char *from,
148 \& unsigned char *to, RSA *rsa,int padding);
149 \& int RSA_public_decrypt(int flen, unsigned char *from,
150 \& unsigned char *to, RSA *rsa,int padding);
151 \&
152 \& int RSA_sign(int type, unsigned char *m, unsigned int m_len,
153 \& unsigned char *sigret, unsigned int *siglen, RSA *rsa);
154 \& int RSA_verify(int type, unsigned char *m, unsigned int m_len,
155 \& unsigned char *sigbuf, unsigned int siglen, RSA *rsa);
156 \&
157 \& int RSA_size(const RSA *rsa);
158 \&
159 \& RSA *RSA_generate_key(int num, unsigned long e,
160 \& void (*callback)(int,int,void *), void *cb_arg);
161 \&
162 \& int RSA_check_key(RSA *rsa);
163 \&
164 \& int RSA_blinding_on(RSA *rsa, BN_CTX *ctx);
165 \& void RSA_blinding_off(RSA *rsa);
166 \&
167 \& void RSA_set_default_method(const RSA_METHOD *meth);
168 \& const RSA_METHOD *RSA_get_default_method(void);
169 \& int RSA_set_method(RSA *rsa, const RSA_METHOD *meth);
170 \& const RSA_METHOD *RSA_get_method(const RSA *rsa);
171 \& RSA_METHOD *RSA_PKCS1_SSLeay(void);
172 \& RSA_METHOD *RSA_null_method(void);
173 \& int RSA_flags(const RSA *rsa);
174 \& RSA *RSA_new_method(ENGINE *engine);
175 \&
176 \& int RSA_print(BIO *bp, RSA *x, int offset);
177 \& int RSA_print_fp(FILE *fp, RSA *x, int offset);
178 \&
179 \& int RSA_get_ex_new_index(long argl, char *argp, int (*new_func)(),
180 \& int (*dup_func)(), void (*free_func)());
181 \& int RSA_set_ex_data(RSA *r,int idx,char *arg);
182 \& char *RSA_get_ex_data(RSA *r, int idx);
183 \&
184 \& int RSA_sign_ASN1_OCTET_STRING(int dummy, unsigned char *m,
185 \& unsigned int m_len, unsigned char *sigret, unsigned int *siglen,
186 \& RSA *rsa);
187 \& int RSA_verify_ASN1_OCTET_STRING(int dummy, unsigned char *m,
188 \& unsigned int m_len, unsigned char *sigbuf, unsigned int siglen,
189 \& RSA *rsa);
190 .Ve
191 .SH "DESCRIPTION"
192 .IX Header "DESCRIPTION"
193 These functions implement \s-1RSA\s0 public key encryption and signatures
194 as defined in \s-1PKCS\s0 #1 v2.0 [\s-1RFC\s0 2437].
195 .PP
196 The \fB\s-1RSA\s0\fR structure consists of several \s-1BIGNUM\s0 components. It can
197 contain public as well as private \s-1RSA\s0 keys:
198 .PP
199 .Vb 10
200 \& struct
201 \& {
202 \& BIGNUM *n; // public modulus
203 \& BIGNUM *e; // public exponent
204 \& BIGNUM *d; // private exponent
205 \& BIGNUM *p; // secret prime factor
206 \& BIGNUM *q; // secret prime factor
207 \& BIGNUM *dmp1; // d mod (p\-1)
208 \& BIGNUM *dmq1; // d mod (q\-1)
209 \& BIGNUM *iqmp; // q^\-1 mod p
210 \& // ...
211 \& };
212 \& RSA
213 .Ve
214 .PP
215 In public keys, the private exponent and the related secret values are
216 \&\fB\s-1NULL\s0\fR.
217 .PP
218 \&\fBp\fR, \fBq\fR, \fBdmp1\fR, \fBdmq1\fR and \fBiqmp\fR may be \fB\s-1NULL\s0\fR in private
219 keys, but the \s-1RSA\s0 operations are much faster when these values are
220 available.
221 .PP
222 Note that \s-1RSA\s0 keys may use non-standard \fB\s-1RSA_METHOD\s0\fR implementations,
223 either directly or by the use of \fB\s-1ENGINE\s0\fR modules. In some cases (eg. an
224 \&\s-1ENGINE\s0 providing support for hardware-embedded keys), these \s-1BIGNUM\s0 values
225 will not be used by the implementation or may be used for alternative data
226 storage. For this reason, applications should generally avoid using \s-1RSA\s0
227 structure elements directly and instead use \s-1API\s0 functions to query or
228 modify keys.
229 .SH "CONFORMING TO"
230 .IX Header "CONFORMING TO"
231 \&\s-1SSL\s0, \s-1PKCS\s0 #1 v2.0
232 .SH "PATENTS"
233 .IX Header "PATENTS"
234 \&\s-1RSA\s0 was covered by a \s-1US\s0 patent which expired in September 2000.
235 .SH "SEE ALSO"
236 .IX Header "SEE ALSO"
237 \&\fIrsa\fR\|(1), \fIbn\fR\|(3), \fIdsa\fR\|(3), \fIdh\fR\|(3),
238 \&\fIrand\fR\|(3), \fIengine\fR\|(3), \fIRSA_new\fR\|(3),
239 \&\fIRSA_public_encrypt\fR\|(3),
240 \&\fIRSA_sign\fR\|(3), \fIRSA_size\fR\|(3),
241 \&\fIRSA_generate_key\fR\|(3),
242 \&\fIRSA_check_key\fR\|(3),
243 \&\fIRSA_blinding_on\fR\|(3),
244 \&\fIRSA_set_method\fR\|(3), \fIRSA_print\fR\|(3),
245 \&\fIRSA_get_ex_new_index\fR\|(3),
246 \&\fIRSA_private_encrypt\fR\|(3),
247 \&\fIRSA_sign_ASN1_OCTET_STRING\fR\|(3),
248 \&\fIRSA_padding_add_PKCS1_type_1\fR\|(3)