--- pgp/rsaref/source/r_keygen.c 2018/04/24 16:40:41 1.1.1.1 +++ pgp/rsaref/source/r_keygen.c 2018/04/24 16:41:46 1.1.1.2 @@ -1,182 +1,122 @@ -/* R_KEYGEN.C - key-pair generation for RSAREF - */ - -/* Copyright (C) RSA Laboratories, a division of RSA Data Security, - Inc., created 1991. All rights reserved. - */ - -#include "global.h" -#include "rsaref.h" -#include "r_random.h" -#include "nn.h" -#include "prime.h" - -static int RSAFilter PROTO_LIST - ((NN_DIGIT *, unsigned int, NN_DIGIT *, unsigned int)); -static int RelativelyPrime PROTO_LIST - ((NN_DIGIT *, unsigned int, NN_DIGIT *, unsigned int)); - -/* Generates an RSA key pair with a given length and public exponent. - */ -int R_GeneratePEMKeys (publicKey, privateKey, protoKey, randomStruct) -R_RSA_PUBLIC_KEY *publicKey; /* new RSA public key */ -R_RSA_PRIVATE_KEY *privateKey; /* new RSA private key */ -R_RSA_PROTO_KEY *protoKey; /* RSA prototype key */ -R_RANDOM_STRUCT *randomStruct; /* random structure */ -{ - NN_DIGIT d[MAX_NN_DIGITS], dP[MAX_NN_DIGITS], dQ[MAX_NN_DIGITS], - e[MAX_NN_DIGITS], n[MAX_NN_DIGITS], p[MAX_NN_DIGITS], phiN[MAX_NN_DIGITS], - pMinus1[MAX_NN_DIGITS], q[MAX_NN_DIGITS], qInv[MAX_NN_DIGITS], - qMinus1[MAX_NN_DIGITS], t[MAX_NN_DIGITS], u[MAX_NN_DIGITS], - v[MAX_NN_DIGITS]; - int status; - unsigned int nDigits, pBits, pDigits, qBits; - - if ((protoKey->bits < MIN_RSA_MODULUS_BITS) || - (protoKey->bits > MAX_RSA_MODULUS_BITS)) - return (RE_MODULUS_LEN); - nDigits = (protoKey->bits + NN_DIGIT_BITS - 1) / NN_DIGIT_BITS; - pDigits = (nDigits + 1) / 2; - pBits = (protoKey->bits + 1) / 2; - qBits = protoKey->bits - pBits; - - /* NOTE: for 65537, this assumes NN_DIGIT is at least 17 bits. */ - NN_ASSIGN_DIGIT - (e, protoKey->useFermat4 ? (NN_DIGIT)65537 : (NN_DIGIT)3, nDigits); - - /* Generate prime p between 3*2^(pBits-2) and 2^pBits-1, searching - in steps of 2, until one satisfies gcd (p-1, e) = 1. - */ - NN_Assign2Exp (t, pBits-1, pDigits); - NN_Assign2Exp (u, pBits-2, pDigits); - NN_Add (t, t, u, pDigits); - NN_ASSIGN_DIGIT (v, 1, pDigits); - NN_Sub (v, t, v, pDigits); - NN_Add (u, u, v, pDigits); - NN_ASSIGN_DIGIT (v, 2, pDigits); - do { - if (status = GeneratePrime (p, t, u, v, pDigits, randomStruct)) - return (status); - } - while (! RSAFilter (p, pDigits, e, 1)); - - /* Generate prime q between 3*2^(qBits-2) and 2^qBits-1, searching - in steps of 2, until one satisfies gcd (q-1, e) = 1. - */ - NN_Assign2Exp (t, qBits-1, pDigits); - NN_Assign2Exp (u, qBits-2, pDigits); - NN_Add (t, t, u, pDigits); - NN_ASSIGN_DIGIT (v, 1, pDigits); - NN_Sub (v, t, v, pDigits); - NN_Add (u, u, v, pDigits); - NN_ASSIGN_DIGIT (v, 2, pDigits); - do { - if (status = GeneratePrime (q, t, u, v, pDigits, randomStruct)) - return (status); - } - while (! RSAFilter (q, pDigits, e, 1)); - - /* Sort so that p > q. (p = q case is extremely unlikely.) - */ - if (NN_Cmp (p, q, pDigits) < 0) { - NN_Assign (t, p, pDigits); - NN_Assign (p, q, pDigits); - NN_Assign (q, t, pDigits); - } - - /* Compute n = pq, qInv = q^{-1} mod p, d = e^{-1} mod (p-1)(q-1), - dP = d mod p-1, dQ = d mod q-1. - */ - NN_Mult (n, p, q, pDigits); - NN_ModInv (qInv, q, p, pDigits); - - NN_ASSIGN_DIGIT (t, 1, pDigits); - NN_Sub (pMinus1, p, t, pDigits); - NN_Sub (qMinus1, q, t, pDigits); - NN_Mult (phiN, pMinus1, qMinus1, pDigits); - - NN_ModInv (d, e, phiN, nDigits); - NN_Mod (dP, d, nDigits, pMinus1, pDigits); - NN_Mod (dQ, d, nDigits, qMinus1, pDigits); - - publicKey->bits = privateKey->bits = protoKey->bits; - NN_Encode (publicKey->modulus, MAX_RSA_MODULUS_LEN, n, nDigits); - NN_Encode (publicKey->exponent, MAX_RSA_MODULUS_LEN, e, 1); - R_memcpy - ((POINTER)privateKey->modulus, (POINTER)publicKey->modulus, - MAX_RSA_MODULUS_LEN); - R_memcpy - ((POINTER)privateKey->publicExponent, (POINTER)publicKey->exponent, - MAX_RSA_MODULUS_LEN); - NN_Encode (privateKey->exponent, MAX_RSA_MODULUS_LEN, d, nDigits); - NN_Encode (privateKey->prime[0], MAX_RSA_PRIME_LEN, p, pDigits); - NN_Encode (privateKey->prime[1], MAX_RSA_PRIME_LEN, q, pDigits); - NN_Encode (privateKey->primeExponent[0], MAX_RSA_PRIME_LEN, dP, pDigits); - NN_Encode (privateKey->primeExponent[1], MAX_RSA_PRIME_LEN, dQ, pDigits); - NN_Encode (privateKey->coefficient, MAX_RSA_PRIME_LEN, qInv, pDigits); - - /* Zeroize sensitive information. - */ - R_memset ((POINTER)d, 0, sizeof (d)); - R_memset ((POINTER)dP, 0, sizeof (dP)); - R_memset ((POINTER)dQ, 0, sizeof (dQ)); - R_memset ((POINTER)p, 0, sizeof (p)); - R_memset ((POINTER)phiN, 0, sizeof (phiN)); - R_memset ((POINTER)pMinus1, 0, sizeof (pMinus1)); - R_memset ((POINTER)q, 0, sizeof (q)); - R_memset ((POINTER)qInv, 0, sizeof (qInv)); - R_memset ((POINTER)qMinus1, 0, sizeof (qMinus1)); - R_memset ((POINTER)t, 0, sizeof (t)); - - return (0); -} - -/* Returns nonzero iff GCD (a-1, b) = 1. - - Lengths: a[aDigits], b[bDigits]. - Assumes aDigits < MAX_NN_DIGITS, bDigits < MAX_NN_DIGITS. - */ -static int RSAFilter (a, aDigits, b, bDigits) -NN_DIGIT *a, *b; -unsigned int aDigits, bDigits; -{ - int status; - NN_DIGIT aMinus1[MAX_NN_DIGITS], t[MAX_NN_DIGITS]; - - NN_ASSIGN_DIGIT (t, 1, aDigits); - NN_Sub (aMinus1, a, t, aDigits); - - status = RelativelyPrime (aMinus1, aDigits, b, bDigits); - - /* Zeroize sensitive information. - */ - R_memset ((POINTER)aMinus1, 0, sizeof (aMinus1)); - - return (status); -} - -/* Returns nonzero iff a and b are relatively prime. - - Lengths: a[aDigits], b[bDigits]. - Assumes aDigits >= bDigits, aDigits < MAX_NN_DIGITS. - */ -static int RelativelyPrime (a, aDigits, b, bDigits) -NN_DIGIT *a, *b; -unsigned int aDigits, bDigits; -{ - int status; - NN_DIGIT t[MAX_NN_DIGITS], u[MAX_NN_DIGITS]; - - NN_AssignZero (t, aDigits); - NN_Assign (t, b, bDigits); - NN_Gcd (t, a, t, aDigits); - NN_ASSIGN_DIGIT (u, 1, aDigits); - - status = NN_EQUAL (t, u, aDigits); - - /* Zeroize sensitive information. - */ - R_memset ((POINTER)t, 0, sizeof (t)); - - return (status); -} +/* R_KEYGEN.C - key-pair generation for RSAREF + */ + +/* Copyright (C) 1991-2 RSA Laboratories, a division of RSA Data + Security, Inc. All rights reserved. + */ + +#include "global.h" +#include "rsaref.h" +#include "r_random.h" +#include "nn.h" +#include "prime.h" + +static int GenerateDigits PROTO_LIST + ((NN_DIGIT *, unsigned int, R_RANDOM_STRUCT *)); + +/* Generates an RSA key pair with a given length and public exponent. + */ +int R_GeneratePEMKeys (publicKey, privateKey, protoKey, randomStruct) +R_RSA_PUBLIC_KEY *publicKey; /* new RSA public key */ +R_RSA_PRIVATE_KEY *privateKey; /* new RSA private key */ +R_RSA_PROTO_KEY *protoKey; /* RSA prototype key */ +R_RANDOM_STRUCT *randomStruct; /* random structure */ +{ + NN_DIGIT d[MAX_NN_DIGITS], dP[MAX_NN_DIGITS], dQ[MAX_NN_DIGITS], + e[MAX_NN_DIGITS], n[MAX_NN_DIGITS], p[MAX_NN_DIGITS], phiN[MAX_NN_DIGITS], + pMinus1[MAX_NN_DIGITS], q[MAX_NN_DIGITS], qInv[MAX_NN_DIGITS], + qMinus1[MAX_NN_DIGITS], t[MAX_NN_DIGITS]; + int status; + unsigned int nDigits, pDigits; + + if ((protoKey->bits < MIN_RSA_MODULUS_BITS) || + (protoKey->bits > MAX_RSA_MODULUS_BITS)) + return (RE_MODULUS_LEN); + nDigits = (protoKey->bits + NN_DIGIT_BITS - 1) / NN_DIGIT_BITS; + pDigits = (nDigits + 1) / 2; + + /* Generate random RSA primes p and q so that product has correct length. + */ + if ((status = GenerateDigits (p, pDigits, randomStruct)) || + (status = GenerateDigits (q, pDigits, randomStruct))) + return (status); + + /* NOTE: for 65537, this assumes NN_DIGIT is at least 17 bits. */ + NN_ASSIGN_DIGIT + (e, protoKey->useFermat4 ? (NN_DIGIT)65537 : (NN_DIGIT)3, nDigits); + FindRSAPrime (p, (protoKey->bits + 1) / 2, p, pDigits, e, 1); + FindRSAPrime (q, protoKey->bits / 2, q, pDigits, e, 1); + + /* Sort so that p > q. (p = q case is extremely unlikely.) + */ + if (NN_Cmp (p, q, pDigits) < 0) { + NN_Assign (t, p, pDigits); + NN_Assign (p, q, pDigits); + NN_Assign (q, t, pDigits); + } + + /* Compute n = pq, qInv = q^{-1} mod p, d = e^{-1} mod (p-1)(q-1), + dP = d mod p-1, dQ = d mod q-1. + */ + NN_Mult (n, p, q, pDigits); + NN_ModInv (qInv, q, p, pDigits); + + NN_ASSIGN_DIGIT (t, 1, pDigits); + NN_Sub (pMinus1, p, t, pDigits); + NN_Sub (qMinus1, q, t, pDigits); + NN_Mult (phiN, pMinus1, qMinus1, pDigits); + + NN_ModInv (d, e, phiN, nDigits); + NN_Mod (dP, d, nDigits, pMinus1, pDigits); + NN_Mod (dQ, d, nDigits, qMinus1, pDigits); + + publicKey->bits = privateKey->bits = protoKey->bits; + NN_Encode (publicKey->modulus, MAX_RSA_MODULUS_LEN, n, nDigits); + NN_Encode (publicKey->exponent, MAX_RSA_MODULUS_LEN, e, 1); + R_memcpy + ((POINTER)privateKey->modulus, (POINTER)publicKey->modulus, + MAX_RSA_MODULUS_LEN); + R_memcpy + ((POINTER)privateKey->publicExponent, (POINTER)publicKey->exponent, + MAX_RSA_MODULUS_LEN); + NN_Encode (privateKey->exponent, MAX_RSA_MODULUS_LEN, d, nDigits); + NN_Encode (privateKey->prime[0], MAX_RSA_PRIME_LEN, p, pDigits); + NN_Encode (privateKey->prime[1], MAX_RSA_PRIME_LEN, q, pDigits); + NN_Encode (privateKey->primeExponent[0], MAX_RSA_PRIME_LEN, dP, pDigits); + NN_Encode (privateKey->primeExponent[1], MAX_RSA_PRIME_LEN, dQ, pDigits); + NN_Encode (privateKey->coefficient, MAX_RSA_PRIME_LEN, qInv, pDigits); + + /* Zeroize sensitive information. + */ + R_memset ((POINTER)d, 0, sizeof (d)); + R_memset ((POINTER)dP, 0, sizeof (dP)); + R_memset ((POINTER)dQ, 0, sizeof (dQ)); + R_memset ((POINTER)p, 0, sizeof (p)); + R_memset ((POINTER)phiN, 0, sizeof (phiN)); + R_memset ((POINTER)pMinus1, 0, sizeof (pMinus1)); + R_memset ((POINTER)q, 0, sizeof (q)); + R_memset ((POINTER)qInv, 0, sizeof (qInv)); + R_memset ((POINTER)qMinus1, 0, sizeof (qMinus1)); + R_memset ((POINTER)t, 0, sizeof (t)); + + return (0); +} + +static int GenerateDigits (a, digits, randomStruct) +NN_DIGIT *a; +R_RANDOM_STRUCT *randomStruct; +unsigned int digits; +{ + int status; + unsigned char t[MAX_RSA_MODULUS_LEN]; + + if (status = R_GenerateBytes (t, digits * NN_DIGIT_LEN, randomStruct)) + return (status); + NN_Decode (a, digits, t, digits * NN_DIGIT_LEN); + + /* Zeroize sensitive information. + */ + R_memset ((POINTER)t, 0, sizeof (t)); + + return (0); +}