Enforce some bounds and invariants on custom curves.

Later code will take advantage of these invariants. Enforcing them on
custom curves avoids making them go through a custom codepath.

Change-Id: I23cee72a90c2e4846b41e03e6be26bc3abeb4a45
Reviewed-on: https://boringssl-review.googlesource.com/23072
Reviewed-by: Adam Langley <agl@google.com>
This commit is contained in:
David Benjamin 2017-11-11 11:37:40 +08:00 committed by Adam Langley
parent a08bba51a5
commit 66f8235510
2 changed files with 48 additions and 0 deletions

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@ -383,6 +383,11 @@ static void ec_group_set0_generator(EC_GROUP *group, EC_POINT *generator) {
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx) {
if (BN_num_bytes(p) > EC_MAX_SCALAR_BYTES) {
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_FIELD);
return NULL;
}
EC_GROUP *ret = ec_group_new(EC_GFp_mont_method());
if (ret == NULL) {
return NULL;
@ -409,6 +414,12 @@ int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
// Additionally, |generator| must been created from
// |EC_GROUP_new_curve_GFp|, not a copy, so that
// |generator->group->generator| is set correctly.
OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (BN_num_bytes(order) > EC_MAX_SCALAR_BYTES) {
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_FIELD);
return 0;
}
@ -418,6 +429,31 @@ int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
return 0;
}
// Require that p < 2×order. This simplifies some ECDSA operations.
//
// Note any curve which did not satisfy this must have been invalid or use a
// tiny prime (less than 17). We only work with prime order curves, so the
// number of points on the curve is the order. Thus Hasse's theorem gives:
//
// |order - (p + 1)| <= 2×sqrt(p)
// p + 1 - order <= 2×sqrt(p)
// p + 1 - 2×sqrt(p) <= order
// p + 1 - 2×(p/4) < order (p/4 > sqrt(p) for p >= 17)
// p/2 < p/2 + 1 < order
// p < 2×order
BIGNUM *tmp = BN_new();
if (tmp == NULL ||
!BN_lshift1(tmp, order)) {
BN_free(tmp);
return 0;
}
int ok = BN_cmp(tmp, &group->field) > 0;
BN_free(tmp);
if (!ok) {
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_GROUP_ORDER);
return 0;
}
EC_POINT *copy = EC_POINT_new(group);
if (copy == NULL ||
!EC_POINT_copy(copy, generator) ||

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@ -73,12 +73,24 @@
#include <openssl/bn.h>
#include <openssl/ex_data.h>
#include <openssl/thread.h>
#include <openssl/type_check.h>
#include "../bn/internal.h"
#if defined(__cplusplus)
extern "C" {
#endif
// Cap the size of all field elements and scalars, including custom curves, to
// 66 bytes, large enough to fit secp521r1 and brainpoolP512r1, which appear to
// be the largest fields anyone plausibly uses.
#define EC_MAX_SCALAR_BYTES 66
#define EC_MAX_SCALAR_WORDS ((66 + BN_BYTES - 1) / BN_BYTES)
OPENSSL_COMPILE_ASSERT(EC_MAX_SCALAR_WORDS <= BN_SMALL_MAX_WORDS,
bn_small_functions_applicable);
struct ec_method_st {
int (*group_init)(EC_GROUP *);
void (*group_finish)(EC_GROUP *);