freebsd-skq/crypto/jpake/jpake.c

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2009-06-07 19:56:18 +00:00
#include "jpake.h"
#include <openssl/crypto.h>
#include <openssl/sha.h>
#include <openssl/err.h>
#include <memory.h>
#include <assert.h>
/*
* In the definition, (xa, xb, xc, xd) are Alice's (x1, x2, x3, x4) or
* Bob's (x3, x4, x1, x2). If you see what I mean.
*/
typedef struct
{
char *name; /* Must be unique */
char *peer_name;
BIGNUM *p;
BIGNUM *g;
BIGNUM *q;
BIGNUM *gxc; /* Alice's g^{x3} or Bob's g^{x1} */
BIGNUM *gxd; /* Alice's g^{x4} or Bob's g^{x2} */
} JPAKE_CTX_PUBLIC;
struct JPAKE_CTX
{
JPAKE_CTX_PUBLIC p;
BIGNUM *secret; /* The shared secret */
BN_CTX *ctx;
BIGNUM *xa; /* Alice's x1 or Bob's x3 */
BIGNUM *xb; /* Alice's x2 or Bob's x4 */
BIGNUM *key; /* The calculated (shared) key */
};
static void JPAKE_ZKP_init(JPAKE_ZKP *zkp)
{
zkp->gr = BN_new();
zkp->b = BN_new();
}
static void JPAKE_ZKP_release(JPAKE_ZKP *zkp)
{
BN_free(zkp->b);
BN_free(zkp->gr);
}
/* Two birds with one stone - make the global name as expected */
#define JPAKE_STEP_PART_init JPAKE_STEP2_init
#define JPAKE_STEP_PART_release JPAKE_STEP2_release
void JPAKE_STEP_PART_init(JPAKE_STEP_PART *p)
{
p->gx = BN_new();
JPAKE_ZKP_init(&p->zkpx);
}
void JPAKE_STEP_PART_release(JPAKE_STEP_PART *p)
{
JPAKE_ZKP_release(&p->zkpx);
BN_free(p->gx);
}
void JPAKE_STEP1_init(JPAKE_STEP1 *s1)
{
JPAKE_STEP_PART_init(&s1->p1);
JPAKE_STEP_PART_init(&s1->p2);
}
void JPAKE_STEP1_release(JPAKE_STEP1 *s1)
{
JPAKE_STEP_PART_release(&s1->p2);
JPAKE_STEP_PART_release(&s1->p1);
}
static void JPAKE_CTX_init(JPAKE_CTX *ctx, const char *name,
const char *peer_name, const BIGNUM *p,
const BIGNUM *g, const BIGNUM *q,
const BIGNUM *secret)
{
ctx->p.name = OPENSSL_strdup(name);
ctx->p.peer_name = OPENSSL_strdup(peer_name);
ctx->p.p = BN_dup(p);
ctx->p.g = BN_dup(g);
ctx->p.q = BN_dup(q);
ctx->secret = BN_dup(secret);
ctx->p.gxc = BN_new();
ctx->p.gxd = BN_new();
ctx->xa = BN_new();
ctx->xb = BN_new();
ctx->key = BN_new();
ctx->ctx = BN_CTX_new();
}
static void JPAKE_CTX_release(JPAKE_CTX *ctx)
{
BN_CTX_free(ctx->ctx);
BN_clear_free(ctx->key);
BN_clear_free(ctx->xb);
BN_clear_free(ctx->xa);
BN_free(ctx->p.gxd);
BN_free(ctx->p.gxc);
BN_clear_free(ctx->secret);
BN_free(ctx->p.q);
BN_free(ctx->p.g);
BN_free(ctx->p.p);
OPENSSL_free(ctx->p.peer_name);
OPENSSL_free(ctx->p.name);
memset(ctx, '\0', sizeof *ctx);
}
JPAKE_CTX *JPAKE_CTX_new(const char *name, const char *peer_name,
const BIGNUM *p, const BIGNUM *g, const BIGNUM *q,
const BIGNUM *secret)
{
JPAKE_CTX *ctx = OPENSSL_malloc(sizeof *ctx);
JPAKE_CTX_init(ctx, name, peer_name, p, g, q, secret);
return ctx;
}
void JPAKE_CTX_free(JPAKE_CTX *ctx)
{
JPAKE_CTX_release(ctx);
OPENSSL_free(ctx);
}
static void hashlength(SHA_CTX *sha, size_t l)
{
unsigned char b[2];
assert(l <= 0xffff);
b[0] = l >> 8;
b[1] = l&0xff;
SHA1_Update(sha, b, 2);
}
static void hashstring(SHA_CTX *sha, const char *string)
{
size_t l = strlen(string);
hashlength(sha, l);
SHA1_Update(sha, string, l);
}
static void hashbn(SHA_CTX *sha, const BIGNUM *bn)
{
size_t l = BN_num_bytes(bn);
unsigned char *bin = OPENSSL_malloc(l);
hashlength(sha, l);
BN_bn2bin(bn, bin);
SHA1_Update(sha, bin, l);
OPENSSL_free(bin);
}
/* h=hash(g, g^r, g^x, name) */
static void zkp_hash(BIGNUM *h, const BIGNUM *zkpg, const JPAKE_STEP_PART *p,
const char *proof_name)
{
unsigned char md[SHA_DIGEST_LENGTH];
SHA_CTX sha;
/*
* XXX: hash should not allow moving of the boundaries - Java code
* is flawed in this respect. Length encoding seems simplest.
*/
SHA1_Init(&sha);
hashbn(&sha, zkpg);
assert(!BN_is_zero(p->zkpx.gr));
hashbn(&sha, p->zkpx.gr);
hashbn(&sha, p->gx);
hashstring(&sha, proof_name);
SHA1_Final(md, &sha);
BN_bin2bn(md, SHA_DIGEST_LENGTH, h);
}
/*
* Prove knowledge of x
* Note that p->gx has already been calculated
*/
static void generate_zkp(JPAKE_STEP_PART *p, const BIGNUM *x,
const BIGNUM *zkpg, JPAKE_CTX *ctx)
{
BIGNUM *r = BN_new();
BIGNUM *h = BN_new();
BIGNUM *t = BN_new();
/*
* r in [0,q)
* XXX: Java chooses r in [0, 2^160) - i.e. distribution not uniform
*/
BN_rand_range(r, ctx->p.q);
/* g^r */
BN_mod_exp(p->zkpx.gr, zkpg, r, ctx->p.p, ctx->ctx);
/* h=hash... */
zkp_hash(h, zkpg, p, ctx->p.name);
/* b = r - x*h */
BN_mod_mul(t, x, h, ctx->p.q, ctx->ctx);
BN_mod_sub(p->zkpx.b, r, t, ctx->p.q, ctx->ctx);
/* cleanup */
BN_free(t);
BN_free(h);
BN_free(r);
}
static int verify_zkp(const JPAKE_STEP_PART *p, const BIGNUM *zkpg,
JPAKE_CTX *ctx)
{
BIGNUM *h = BN_new();
BIGNUM *t1 = BN_new();
BIGNUM *t2 = BN_new();
BIGNUM *t3 = BN_new();
int ret = 0;
zkp_hash(h, zkpg, p, ctx->p.peer_name);
/* t1 = g^b */
BN_mod_exp(t1, zkpg, p->zkpx.b, ctx->p.p, ctx->ctx);
/* t2 = (g^x)^h = g^{hx} */
BN_mod_exp(t2, p->gx, h, ctx->p.p, ctx->ctx);
/* t3 = t1 * t2 = g^{hx} * g^b = g^{hx+b} = g^r (allegedly) */
BN_mod_mul(t3, t1, t2, ctx->p.p, ctx->ctx);
/* verify t3 == g^r */
if(BN_cmp(t3, p->zkpx.gr) == 0)
ret = 1;
else
JPAKEerr(JPAKE_F_VERIFY_ZKP, JPAKE_R_ZKP_VERIFY_FAILED);
/* cleanup */
BN_free(t3);
BN_free(t2);
BN_free(t1);
BN_free(h);
return ret;
}
static void generate_step_part(JPAKE_STEP_PART *p, const BIGNUM *x,
const BIGNUM *g, JPAKE_CTX *ctx)
{
BN_mod_exp(p->gx, g, x, ctx->p.p, ctx->ctx);
generate_zkp(p, x, g, ctx);
}
/* Generate each party's random numbers. xa is in [0, q), xb is in [1, q). */
static void genrand(JPAKE_CTX *ctx)
{
BIGNUM *qm1;
/* xa in [0, q) */
BN_rand_range(ctx->xa, ctx->p.q);
/* q-1 */
qm1 = BN_new();
BN_copy(qm1, ctx->p.q);
BN_sub_word(qm1, 1);
/* ... and xb in [0, q-1) */
BN_rand_range(ctx->xb, qm1);
/* [1, q) */
BN_add_word(ctx->xb, 1);
/* cleanup */
BN_free(qm1);
}
int JPAKE_STEP1_generate(JPAKE_STEP1 *send, JPAKE_CTX *ctx)
{
genrand(ctx);
generate_step_part(&send->p1, ctx->xa, ctx->p.g, ctx);
generate_step_part(&send->p2, ctx->xb, ctx->p.g, ctx);
return 1;
}
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/* g^x is a legal value */
static int is_legal(const BIGNUM *gx, const JPAKE_CTX *ctx)
{
BIGNUM *t;
int res;
if(BN_is_negative(gx) || BN_is_zero(gx) || BN_cmp(gx, ctx->p.p) >= 0)
return 0;
t = BN_new();
BN_mod_exp(t, gx, ctx->p.q, ctx->p.p, ctx->ctx);
res = BN_is_one(t);
BN_free(t);
return res;
}
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int JPAKE_STEP1_process(JPAKE_CTX *ctx, const JPAKE_STEP1 *received)
{
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if(!is_legal(received->p1.gx, ctx))
{
JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_G_TO_THE_X3_IS_NOT_LEGAL);
return 0;
}
if(!is_legal(received->p2.gx, ctx))
{
JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_G_TO_THE_X4_IS_NOT_LEGAL);
return 0;
}
/* verify their ZKP(xc) */
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if(!verify_zkp(&received->p1, ctx->p.g, ctx))
{
JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_VERIFY_X3_FAILED);
return 0;
}
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/* verify their ZKP(xd) */
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if(!verify_zkp(&received->p2, ctx->p.g, ctx))
{
JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_VERIFY_X4_FAILED);
return 0;
}
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/* g^xd != 1 */
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if(BN_is_one(received->p2.gx))
{
JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_G_TO_THE_X4_IS_ONE);
return 0;
}
/* Save the bits we need for later */
BN_copy(ctx->p.gxc, received->p1.gx);
BN_copy(ctx->p.gxd, received->p2.gx);
return 1;
}
int JPAKE_STEP2_generate(JPAKE_STEP2 *send, JPAKE_CTX *ctx)
{
BIGNUM *t1 = BN_new();
BIGNUM *t2 = BN_new();
/*
* X = g^{(xa + xc + xd) * xb * s}
* t1 = g^xa
*/
BN_mod_exp(t1, ctx->p.g, ctx->xa, ctx->p.p, ctx->ctx);
/* t2 = t1 * g^{xc} = g^{xa} * g^{xc} = g^{xa + xc} */
BN_mod_mul(t2, t1, ctx->p.gxc, ctx->p.p, ctx->ctx);
/* t1 = t2 * g^{xd} = g^{xa + xc + xd} */
BN_mod_mul(t1, t2, ctx->p.gxd, ctx->p.p, ctx->ctx);
/* t2 = xb * s */
BN_mod_mul(t2, ctx->xb, ctx->secret, ctx->p.q, ctx->ctx);
/*
* ZKP(xb * s)
* XXX: this is kinda funky, because we're using
*
* g' = g^{xa + xc + xd}
*
* as the generator, which means X is g'^{xb * s}
* X = t1^{t2} = t1^{xb * s} = g^{(xa + xc + xd) * xb * s}
*/
generate_step_part(send, t2, t1, ctx);
/* cleanup */
BN_free(t1);
BN_free(t2);
return 1;
}
/* gx = g^{xc + xa + xb} * xd * s */
static int compute_key(JPAKE_CTX *ctx, const BIGNUM *gx)
{
BIGNUM *t1 = BN_new();
BIGNUM *t2 = BN_new();
BIGNUM *t3 = BN_new();
/*
* K = (gx/g^{xb * xd * s})^{xb}
* = (g^{(xc + xa + xb) * xd * s - xb * xd *s})^{xb}
* = (g^{(xa + xc) * xd * s})^{xb}
* = g^{(xa + xc) * xb * xd * s}
* [which is the same regardless of who calculates it]
*/
/* t1 = (g^{xd})^{xb} = g^{xb * xd} */
BN_mod_exp(t1, ctx->p.gxd, ctx->xb, ctx->p.p, ctx->ctx);
/* t2 = -s = q-s */
BN_sub(t2, ctx->p.q, ctx->secret);
/* t3 = t1^t2 = g^{-xb * xd * s} */
BN_mod_exp(t3, t1, t2, ctx->p.p, ctx->ctx);
/* t1 = gx * t3 = X/g^{xb * xd * s} */
BN_mod_mul(t1, gx, t3, ctx->p.p, ctx->ctx);
/* K = t1^{xb} */
BN_mod_exp(ctx->key, t1, ctx->xb, ctx->p.p, ctx->ctx);
/* cleanup */
BN_free(t3);
BN_free(t2);
BN_free(t1);
return 1;
}
int JPAKE_STEP2_process(JPAKE_CTX *ctx, const JPAKE_STEP2 *received)
{
BIGNUM *t1 = BN_new();
BIGNUM *t2 = BN_new();
int ret = 0;
/*
* g' = g^{xc + xa + xb} [from our POV]
* t1 = xa + xb
*/
BN_mod_add(t1, ctx->xa, ctx->xb, ctx->p.q, ctx->ctx);
/* t2 = g^{t1} = g^{xa+xb} */
BN_mod_exp(t2, ctx->p.g, t1, ctx->p.p, ctx->ctx);
/* t1 = g^{xc} * t2 = g^{xc + xa + xb} */
BN_mod_mul(t1, ctx->p.gxc, t2, ctx->p.p, ctx->ctx);
if(verify_zkp(received, t1, ctx))
ret = 1;
else
JPAKEerr(JPAKE_F_JPAKE_STEP2_PROCESS, JPAKE_R_VERIFY_B_FAILED);
compute_key(ctx, received->gx);
/* cleanup */
BN_free(t2);
BN_free(t1);
return ret;
}
static void quickhashbn(unsigned char *md, const BIGNUM *bn)
{
SHA_CTX sha;
SHA1_Init(&sha);
hashbn(&sha, bn);
SHA1_Final(md, &sha);
}
void JPAKE_STEP3A_init(JPAKE_STEP3A *s3a)
{}
int JPAKE_STEP3A_generate(JPAKE_STEP3A *send, JPAKE_CTX *ctx)
{
quickhashbn(send->hhk, ctx->key);
SHA1(send->hhk, sizeof send->hhk, send->hhk);
return 1;
}
int JPAKE_STEP3A_process(JPAKE_CTX *ctx, const JPAKE_STEP3A *received)
{
unsigned char hhk[SHA_DIGEST_LENGTH];
quickhashbn(hhk, ctx->key);
SHA1(hhk, sizeof hhk, hhk);
if(memcmp(hhk, received->hhk, sizeof hhk))
{
JPAKEerr(JPAKE_F_JPAKE_STEP3A_PROCESS, JPAKE_R_HASH_OF_HASH_OF_KEY_MISMATCH);
return 0;
}
return 1;
}
void JPAKE_STEP3A_release(JPAKE_STEP3A *s3a)
{}
void JPAKE_STEP3B_init(JPAKE_STEP3B *s3b)
{}
int JPAKE_STEP3B_generate(JPAKE_STEP3B *send, JPAKE_CTX *ctx)
{
quickhashbn(send->hk, ctx->key);
return 1;
}
int JPAKE_STEP3B_process(JPAKE_CTX *ctx, const JPAKE_STEP3B *received)
{
unsigned char hk[SHA_DIGEST_LENGTH];
quickhashbn(hk, ctx->key);
if(memcmp(hk, received->hk, sizeof hk))
{
JPAKEerr(JPAKE_F_JPAKE_STEP3B_PROCESS, JPAKE_R_HASH_OF_KEY_MISMATCH);
return 0;
}
return 1;
}
void JPAKE_STEP3B_release(JPAKE_STEP3B *s3b)
{}
const BIGNUM *JPAKE_get_shared_key(JPAKE_CTX *ctx)
{
return ctx->key;
}