blob: 31109a43503fe821d525bb055c9aab570292c6ff [file] [log] [blame]
// Copyright (c) 2012 The Chromium Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
// This code implements SPAKE2, a variant of EKE:
// http://www.di.ens.fr/~pointche/pub.php?reference=AbPo04
#include <crypto/p224_spake.h>
#include <base/logging.h>
#include <crypto/p224.h>
#include <crypto/random.h>
#include <crypto/secure_util.h>
namespace {
// The following two points (M and N in the protocol) are verifiable random
// points on the curve and can be generated with the following code:
// #include <stdint.h>
// #include <stdio.h>
// #include <string.h>
//
// #include <openssl/ec.h>
// #include <openssl/obj_mac.h>
// #include <openssl/sha.h>
//
// static const char kSeed1[] = "P224 point generation seed (M)";
// static const char kSeed2[] = "P224 point generation seed (N)";
//
// void find_seed(const char* seed) {
// SHA256_CTX sha256;
// uint8_t digest[SHA256_DIGEST_LENGTH];
//
// SHA256_Init(&sha256);
// SHA256_Update(&sha256, seed, strlen(seed));
// SHA256_Final(digest, &sha256);
//
// BIGNUM x, y;
// EC_GROUP* p224 = EC_GROUP_new_by_curve_name(NID_secp224r1);
// EC_POINT* p = EC_POINT_new(p224);
//
// for (unsigned i = 0;; i++) {
// BN_init(&x);
// BN_bin2bn(digest, 28, &x);
//
// if (EC_POINT_set_compressed_coordinates_GFp(
// p224, p, &x, digest[28] & 1, NULL)) {
// BN_init(&y);
// EC_POINT_get_affine_coordinates_GFp(p224, p, &x, &y, NULL);
// char* x_str = BN_bn2hex(&x);
// char* y_str = BN_bn2hex(&y);
// printf("Found after %u iterations:\n%s\n%s\n", i, x_str, y_str);
// OPENSSL_free(x_str);
// OPENSSL_free(y_str);
// BN_free(&x);
// BN_free(&y);
// break;
// }
//
// SHA256_Init(&sha256);
// SHA256_Update(&sha256, digest, sizeof(digest));
// SHA256_Final(digest, &sha256);
//
// BN_free(&x);
// }
//
// EC_POINT_free(p);
// EC_GROUP_free(p224);
// }
//
// int main() {
// find_seed(kSeed1);
// find_seed(kSeed2);
// return 0;
// }
const crypto::p224::Point kM = {
{174237515, 77186811, 235213682, 33849492,
33188520, 48266885, 177021753, 81038478},
{104523827, 245682244, 266509668, 236196369,
28372046, 145351378, 198520366, 113345994},
{1, 0, 0, 0, 0, 0, 0},
};
const crypto::p224::Point kN = {
{136176322, 263523628, 251628795, 229292285,
5034302, 185981975, 171998428, 11653062},
{197567436, 51226044, 60372156, 175772188,
42075930, 8083165, 160827401, 65097570},
{1, 0, 0, 0, 0, 0, 0},
};
} // anonymous namespace
namespace crypto {
P224EncryptedKeyExchange::P224EncryptedKeyExchange(
PeerType peer_type, const base::StringPiece& password)
: state_(kStateInitial),
is_server_(peer_type == kPeerTypeServer) {
memset(&x_, 0, sizeof(x_));
memset(&expected_authenticator_, 0, sizeof(expected_authenticator_));
// x_ is a random scalar.
RandBytes(x_, sizeof(x_));
// X = g**x_
p224::Point X;
p224::ScalarBaseMult(x_, &X);
// Calculate |password| hash to get SPAKE password value.
SHA256HashString(std::string(password.data(), password.length()),
pw_, sizeof(pw_));
// The client masks the Diffie-Hellman value, X, by adding M**pw and the
// server uses N**pw.
p224::Point MNpw;
p224::ScalarMult(is_server_ ? kN : kM, pw_, &MNpw);
// X* = X + (N|M)**pw
p224::Point Xstar;
p224::Add(X, MNpw, &Xstar);
next_message_ = Xstar.ToString();
}
const std::string& P224EncryptedKeyExchange::GetMessage() {
if (state_ == kStateInitial) {
state_ = kStateRecvDH;
return next_message_;
} else if (state_ == kStateSendHash) {
state_ = kStateRecvHash;
return next_message_;
}
LOG(FATAL) << "P224EncryptedKeyExchange::GetMessage called in"
" bad state " << state_;
next_message_ = "";
return next_message_;
}
P224EncryptedKeyExchange::Result P224EncryptedKeyExchange::ProcessMessage(
const base::StringPiece& message) {
if (state_ == kStateRecvHash) {
// This is the final state of the protocol: we are reading the peer's
// authentication hash and checking that it matches the one that we expect.
if (message.size() != sizeof(expected_authenticator_)) {
error_ = "peer's hash had an incorrect size";
return kResultFailed;
}
if (!SecureMemEqual(message.data(), expected_authenticator_,
message.size())) {
error_ = "peer's hash had incorrect value";
return kResultFailed;
}
state_ = kStateDone;
return kResultSuccess;
}
if (state_ != kStateRecvDH) {
LOG(FATAL) << "P224EncryptedKeyExchange::ProcessMessage called in"
" bad state " << state_;
error_ = "internal error";
return kResultFailed;
}
// Y* is the other party's masked, Diffie-Hellman value.
p224::Point Ystar;
if (!Ystar.SetFromString(message)) {
error_ = "failed to parse peer's masked Diffie-Hellman value";
return kResultFailed;
}
// We calculate the mask value: (N|M)**pw
p224::Point MNpw, minus_MNpw, Y, k;
p224::ScalarMult(is_server_ ? kM : kN, pw_, &MNpw);
p224::Negate(MNpw, &minus_MNpw);
// Y = Y* - (N|M)**pw
p224::Add(Ystar, minus_MNpw, &Y);
// K = Y**x_
p224::ScalarMult(Y, x_, &k);
// If everything worked out, then K is the same for both parties.
key_ = k.ToString();
std::string client_masked_dh, server_masked_dh;
if (is_server_) {
client_masked_dh = message.as_string();
server_masked_dh = next_message_;
} else {
client_masked_dh = next_message_;
server_masked_dh = message.as_string();
}
// Now we calculate the hashes that each side will use to prove to the other
// that they derived the correct value for K.
uint8 client_hash[kSHA256Length], server_hash[kSHA256Length];
CalculateHash(kPeerTypeClient, client_masked_dh, server_masked_dh, key_,
client_hash);
CalculateHash(kPeerTypeServer, client_masked_dh, server_masked_dh, key_,
server_hash);
const uint8* my_hash = is_server_ ? server_hash : client_hash;
const uint8* their_hash = is_server_ ? client_hash : server_hash;
next_message_ =
std::string(reinterpret_cast<const char*>(my_hash), kSHA256Length);
memcpy(expected_authenticator_, their_hash, kSHA256Length);
state_ = kStateSendHash;
return kResultPending;
}
void P224EncryptedKeyExchange::CalculateHash(
PeerType peer_type,
const std::string& client_masked_dh,
const std::string& server_masked_dh,
const std::string& k,
uint8* out_digest) {
std::string hash_contents;
if (peer_type == kPeerTypeServer) {
hash_contents = "server";
} else {
hash_contents = "client";
}
hash_contents += client_masked_dh;
hash_contents += server_masked_dh;
hash_contents +=
std::string(reinterpret_cast<const char *>(pw_), sizeof(pw_));
hash_contents += k;
SHA256HashString(hash_contents, out_digest, kSHA256Length);
}
const std::string& P224EncryptedKeyExchange::error() const {
return error_;
}
const std::string& P224EncryptedKeyExchange::GetKey() {
DCHECK_EQ(state_, kStateDone);
return key_;
}
} // namespace crypto