/* Copyright (c) 2016, Google Inc. * * Permission to use, copy, modify, and/or distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ #include #include #include #include "internal.h" NEWHOPE_POLY *NEWHOPE_POLY_new(void) { return (NEWHOPE_POLY *)OPENSSL_malloc(sizeof(NEWHOPE_POLY)); } void NEWHOPE_POLY_free(NEWHOPE_POLY *p) { OPENSSL_free(p); } /* Encodes reconciliation data from |c| into |r|. */ static void encode_rec(const NEWHOPE_POLY *c, uint8_t *r) { int i; for (i = 0; i < PARAM_N / 4; i++) { r[i] = c->coeffs[4 * i] | (c->coeffs[4 * i + 1] << 2) | (c->coeffs[4 * i + 2] << 4) | (c->coeffs[4 * i + 3] << 6); } } /* Decodes reconciliation data from |r| into |c|. */ static void decode_rec(const uint8_t *r, NEWHOPE_POLY *c) { int i; for (i = 0; i < PARAM_N / 4; i++) { c->coeffs[4 * i + 0] = r[i] & 0x03; c->coeffs[4 * i + 1] = (r[i] >> 2) & 0x03; c->coeffs[4 * i + 2] = (r[i] >> 4) & 0x03; c->coeffs[4 * i + 3] = (r[i] >> 6); } } void NEWHOPE_offer(uint8_t *offermsg, NEWHOPE_POLY *s) { newhope_poly_getnoise(s); newhope_poly_ntt(s); /* The first part of the offer message is the seed, which compactly encodes * a. */ NEWHOPE_POLY a; uint8_t *seed = &offermsg[NEWHOPE_POLY_LENGTH]; RAND_bytes(seed, SEED_LENGTH); newhope_poly_uniform(&a, seed); NEWHOPE_POLY e; newhope_poly_getnoise(&e); newhope_poly_ntt(&e); /* The second part of the offer message is the polynomial pk = a*s+e */ NEWHOPE_POLY pk; NEWHOPE_offer_computation(&pk, s, &e, &a); NEWHOPE_POLY_tobytes(offermsg, &pk); } int NEWHOPE_accept(uint8_t key[SHA256_DIGEST_LENGTH], uint8_t acceptmsg[NEWHOPE_ACCEPTMSG_LENGTH], const uint8_t offermsg[NEWHOPE_OFFERMSG_LENGTH], size_t msg_len) { if (msg_len != NEWHOPE_OFFERMSG_LENGTH) { return 0; } /* Decode the |offermsg|, generating the same |a| as the peer, from the peer's * seed. */ NEWHOPE_POLY pk, a; const uint8_t *seed = &offermsg[NEWHOPE_POLY_LENGTH]; newhope_poly_uniform(&a, seed); NEWHOPE_POLY_frombytes(&pk, offermsg); /* Generate noise polynomials used to generate our key. */ NEWHOPE_POLY sp, ep, epp; newhope_poly_getnoise(&sp); newhope_poly_ntt(&sp); newhope_poly_getnoise(&ep); newhope_poly_ntt(&ep); newhope_poly_getnoise(&epp); /* intentionally not NTT */ /* Generate random bytes used for reconciliation. (The reference * implementation calls ChaCha20 here.) */ uint8_t rand[32]; RAND_bytes(rand, sizeof(rand)); /* Encode |bp| and |c| as the |acceptmsg|. */ NEWHOPE_POLY bp, c; uint8_t k[NEWHOPE_KEY_LENGTH]; NEWHOPE_accept_computation(k, &bp, &c, &sp, &ep, &epp, rand, &pk, &a); NEWHOPE_POLY_tobytes(acceptmsg, &bp); encode_rec(&c, &acceptmsg[NEWHOPE_POLY_LENGTH]); SHA256_CTX ctx; if (!SHA256_Init(&ctx) || !SHA256_Update(&ctx, k, NEWHOPE_KEY_LENGTH) || !SHA256_Final(key, &ctx)) { return 0; } return 1; } int NEWHOPE_finish(uint8_t key[SHA256_DIGEST_LENGTH], const NEWHOPE_POLY *sk, const uint8_t acceptmsg[NEWHOPE_ACCEPTMSG_LENGTH], size_t msg_len) { if (msg_len != NEWHOPE_ACCEPTMSG_LENGTH) { return 0; } /* Decode the accept message into |bp| and |c|. */ NEWHOPE_POLY bp, c; NEWHOPE_POLY_frombytes(&bp, acceptmsg); decode_rec(&acceptmsg[NEWHOPE_POLY_LENGTH], &c); uint8_t k[NEWHOPE_KEY_LENGTH]; NEWHOPE_finish_computation(k, sk, &bp, &c); SHA256_CTX ctx; if (!SHA256_Init(&ctx) || !SHA256_Update(&ctx, k, NEWHOPE_KEY_LENGTH) || !SHA256_Final(key, &ctx)) { return 0; } return 1; } void NEWHOPE_offer_computation(NEWHOPE_POLY *out_pk, const NEWHOPE_POLY *s, const NEWHOPE_POLY *e, const NEWHOPE_POLY *a) { NEWHOPE_POLY r; newhope_poly_pointwise(&r, s, a); newhope_poly_add(out_pk, e, &r); } void NEWHOPE_accept_computation( uint8_t k[NEWHOPE_KEY_LENGTH], NEWHOPE_POLY *bp, NEWHOPE_POLY *reconciliation, const NEWHOPE_POLY *sp, const NEWHOPE_POLY *ep, const NEWHOPE_POLY *epp, const uint8_t rand[32], const NEWHOPE_POLY *pk, const NEWHOPE_POLY *a) { /* bp = a*s' + e' */ newhope_poly_pointwise(bp, a, sp); newhope_poly_add(bp, bp, ep); /* v = pk * s' + e'' */ NEWHOPE_POLY v; newhope_poly_pointwise(&v, pk, sp); newhope_poly_invntt(&v); newhope_poly_add(&v, &v, epp); newhope_helprec(reconciliation, &v, rand); newhope_reconcile(k, &v, reconciliation); } void NEWHOPE_finish_computation(uint8_t k[NEWHOPE_KEY_LENGTH], const NEWHOPE_POLY *sk, const NEWHOPE_POLY *bp, const NEWHOPE_POLY *reconciliation) { NEWHOPE_POLY v; newhope_poly_pointwise(&v, sk, bp); newhope_poly_invntt(&v); newhope_reconcile(k, &v, reconciliation); }