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+The RSA encryption and utility routines.
+
+The RSA routines are built on top of a big number library (the BN library).
+There are support routines in the X509 library for loading and manipulating
+the various objects in the RSA library. When errors are returned, read
+about the ERR library for how to access the error codes.
+
+All RSA encryption is done according to the PKCS-1 standard which is
+compatible with PEM and RSAref. This means that any values being encrypted
+must be less than the size of the modulus in bytes, minus 10, bytes long.
+
+This library uses RAND_bytes()() for it's random data, make sure to feed
+RAND_seed() with lots of interesting and varied data before using these
+routines.
+
+The RSA library has one specific data type, the RSA structure.
+It is composed of 8 BIGNUM variables (see the BN library for details) and
+can hold either a private RSA key or a public RSA key.
+Some RSA libraries have different structures for public and private keys, I
+don't. For my libraries, a public key is determined by the fact that the
+RSA->d value is NULL. These routines will operate on any size RSA keys.
+While I'm sure 4096 bit keys are very very secure, they take a lot longer
+to process that 1024 bit keys :-).
+
+The function in the RSA library are as follows.
+
+RSA *RSA_new();
+ This function creates a new RSA object. The sub-fields of the RSA
+ type are also malloced so you should always use this routine to
+ create RSA variables.
+
+void RSA_free(
+RSA *rsa);
+ This function 'frees' an RSA structure. This routine should always
+ be used to free the RSA structure since it will also 'free' any
+ sub-fields of the RSA type that need freeing.
+
+int RSA_size(
+RSA *rsa);
+ This function returns the size of the RSA modulus in bytes. Why do
+ I need this you may ask, well the reason is that when you encrypt
+ with RSA, the output string will be the size of the RSA modulus.
+ So the output for the RSA_encrypt and the input for the RSA_decrypt
+ routines need to be RSA_size() bytes long, because this is how many
+ bytes are expected.
+
+For the following 4 RSA encryption routines, it should be noted that
+RSA_private_decrypt() should be used on the output from
+RSA_public_encrypt() and RSA_public_decrypt() should be used on
+the output from RSA_private_encrypt().
+
+int RSA_public_encrypt(
+int from_len;
+unsigned char *from
+unsigned char *to
+RSA *rsa);
+ This function implements RSA public encryption, the rsa variable
+ should be a public key (but can be a private key). 'from_len'
+ bytes taken from 'from' and encrypted and put into 'to'. 'to' needs
+ to be at least RSA_size(rsa) bytes long. The number of bytes
+ written into 'to' is returned. -1 is returned on an error. The
+ operation performed is
+ to = from^rsa->e mod rsa->n.
+
+int RSA_private_encrypt(
+int from_len;
+unsigned char *from
+unsigned char *to
+RSA *rsa);
+ This function implements RSA private encryption, the rsa variable
+ should be a private key. 'from_len' bytes taken from
+ 'from' and encrypted and put into 'to'. 'to' needs
+ to be at least RSA_size(rsa) bytes long. The number of bytes
+ written into 'to' is returned. -1 is returned on an error. The
+ operation performed is
+ to = from^rsa->d mod rsa->n.
+
+int RSA_public_decrypt(
+int from_len;
+unsigned char *from
+unsigned char *to
+RSA *rsa);
+ This function implements RSA public decryption, the rsa variable
+ should be a public key (but can be a private key). 'from_len'
+ bytes are taken from 'from' and decrypted. The decrypted data is
+ put into 'to'. The number of bytes encrypted is returned. -1 is
+ returned to indicate an error. The operation performed is
+ to = from^rsa->e mod rsa->n.
+
+int RSA_private_decrypt(
+int from_len;
+unsigned char *from
+unsigned char *to
+RSA *rsa);
+ This function implements RSA private decryption, the rsa variable
+ should be a private key. 'from_len' bytes are taken
+ from 'from' and decrypted. The decrypted data is
+ put into 'to'. The number of bytes encrypted is returned. -1 is
+ returned to indicate an error. The operation performed is
+ to = from^rsa->d mod rsa->n.
+
+int RSA_mod_exp(
+BIGNUM *n;
+BIGNUM *p;
+RSA *rsa);
+ Normally you will never use this routine.
+ This is really an internal function which is called by
+ RSA_private_encrypt() and RSA_private_decrypt(). It performs
+ n=n^p mod rsa->n except that it uses the 5 extra variables in the
+ RSA structure to make this more efficient.
+
+RSA *RSA_generate_key(
+int bits;
+unsigned long e;
+void (*callback)();
+ This routine is used to generate RSA private keys. It takes
+ quite a period of time to run and should only be used to
+ generate initial private keys that should then be stored
+ for later use. The passed callback function
+ will be called periodically so that feedback can be given
+ as to how this function is progressing.
+ 'bits' is the length desired for the modulus, so it would be 1024
+ to generate a 1024 bit private key.
+ 'e' is the value to use for the public exponent 'e'. Traditionally
+ it is set to either 3 or 0x10001.
+ The callback function (if not NULL) is called in the following
+ situations.
+ when we have generated a suspected prime number to test,
+ callback(0,num1++). When it passes a prime number test,
+ callback(1,num2++). When it is rejected as one of
+ the 2 primes required due to gcd(prime,e value) != 0,
+ callback(2,num3++). When finally accepted as one of the 2 primes,
+ callback(3,num4++).