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Initial FrodoKEM-640-SHAKE implementation
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22
crypto_kem/frodokem640shake/META.yml
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crypto_kem/frodokem640shake/META.yml
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name: FrodoKEM-640-SHAKE
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type: kem
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claimed-nist-level: 1
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length-public-key: 9616
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length-ciphertext: 9720
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testvectors-sha256: 521ff891de20efe74e6584d09612dae989427ac76261a41630c4e4d6a4fc78a4
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principal-submitter: Douglas Stebila, University of Waterloo
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auxiliary-submitters:
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- Erdem Alkim
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- Joppe W. Bos, NXP Semiconductors
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- Léo Ducas, CWI
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- Patrick Longa, Microsoft Research
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- Ilya Mironov, Google
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- Michael Naehrig, Microsoft Research
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- Valeria Nikolaenko
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- Chris Peikert, University of Michigan
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- Ananth Raghunathan, Google
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- Karen Easterbrook, Microsoft Research
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- Brian LaMacchia, Microsoft Research
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implementations:
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- name: clean
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version: https://github.com/Microsoft/PQCrypto-LWEKE/commit/437e228fca580a82435cab09f30ae14b03183119
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crypto_kem/frodokem640shake/clean/LICENSE
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crypto_kem/frodokem640shake/clean/LICENSE
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MIT License
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Copyright (c) Microsoft Corporation. All rights reserved.
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE
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crypto_kem/frodokem640shake/clean/Makefile
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crypto_kem/frodokem640shake/clean/Makefile
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# This Makefile can be used with GNU Make or BSD Make
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LIB=libfrodokem640shake_clean.a
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HEADERS=api.h params.h common.h
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OBJECTS=kem.o matrix_shake.o noise.o util.o
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CFLAGS=-Wall -Wextra -Wpedantic -Werror -std=c99 -I../../../common $(EXTRAFLAGS)
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all: $(LIB)
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%.o: %.c $(HEADERS)
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$(CC) $(CFLAGS) -c -o $@ $<
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$(LIB): $(OBJECTS)
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$(AR) -r $@ $(OBJECTS)
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clean:
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$(RM) $(OBJECTS)
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$(RM) $(LIB)
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crypto_kem/frodokem640shake/clean/api.h
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crypto_kem/frodokem640shake/clean/api.h
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#ifndef PQCLEAN_FRODOKEM640SHAKE_CLEAN_API_H
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#define PQCLEAN_FRODOKEM640SHAKE_CLEAN_API_H
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#include <stddef.h>
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#include <stdint.h>
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#define PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_SECRETKEYBYTES 19888 // sizeof(s) + CRYPTO_PUBLICKEYBYTES + 2*PARAMS_N*PARAMS_NBAR + BYTES_PKHASH
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#define PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_PUBLICKEYBYTES 9616 // sizeof(seed_A) + (PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8
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#define PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_BYTES 16
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#define PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_CIPHERTEXTBYTES 9720 // (PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8 + (PARAMS_LOGQ*PARAMS_NBAR*PARAMS_NBAR)/8
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#define PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_ALGNAME "FrodoKEM-640-SHAKE"
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_crypto_kem_keypair(uint8_t *pk, uint8_t *sk);
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_crypto_kem_enc(uint8_t *ct, uint8_t *ss, const uint8_t *pk);
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_crypto_kem_dec(uint8_t *ss, const uint8_t *ct, const uint8_t *sk);
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#endif
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crypto_kem/frodokem640shake/clean/common.h
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crypto_kem/frodokem640shake/clean/common.h
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#ifndef COMMON_H
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#define COMMON_H
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_as_plus_e(uint16_t *out, const uint16_t *s, const uint16_t *e, const uint8_t *seed_A);
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sa_plus_e(uint16_t *out, const uint16_t *s, const uint16_t *e, const uint8_t *seed_A);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(uint16_t *s, const size_t n);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_bs(uint16_t *out, const uint16_t *b, const uint16_t *s);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sb_plus_e(uint16_t *out, const uint16_t *b, const uint16_t *s, const uint16_t *e);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_add(uint16_t *out, const uint16_t *a, const uint16_t *b);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_sub(uint16_t *out, const uint16_t *a, const uint16_t *b);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_key_encode(uint16_t *out, const uint16_t *in);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_key_decode(uint16_t *out, const uint16_t *in);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_pack(unsigned char *out, const size_t outlen, const uint16_t *in, const size_t inlen, const unsigned char lsb);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_unpack(uint16_t *out, const size_t outlen, const unsigned char *in, const size_t inlen, const unsigned char lsb);
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void PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(uint8_t *mem, size_t n);
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#endif
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crypto_kem/frodokem640shake/clean/kem.c
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crypto_kem/frodokem640shake/clean/kem.c
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/********************************************************************************************
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* FrodoKEM: Learning with Errors Key Encapsulation
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*
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* Abstract: Key Encapsulation Mechanism (KEM) based on Frodo
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*********************************************************************************************/
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#include <stdint.h>
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#include <string.h>
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#include "fips202.h"
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#include "randombytes.h"
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#include "api.h"
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#include "params.h"
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#include "common.h"
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_crypto_kem_keypair(unsigned char* pk, unsigned char* sk)
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{ // FrodoKEM's key generation
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// Outputs: public key pk ( BYTES_SEED_A + (PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8 bytes)
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// secret key sk (CRYPTO_BYTES + BYTES_SEED_A + (PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8 + 2*PARAMS_N*PARAMS_NBAR + BYTES_PKHASH bytes)
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uint8_t *pk_seedA = &pk[0];
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uint8_t *pk_b = &pk[BYTES_SEED_A];
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uint8_t *sk_s = &sk[0];
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uint8_t *sk_pk = &sk[CRYPTO_BYTES];
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uint8_t *sk_S = &sk[CRYPTO_BYTES + CRYPTO_PUBLICKEYBYTES];
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uint8_t *sk_pkh = &sk[CRYPTO_BYTES + CRYPTO_PUBLICKEYBYTES + 2*PARAMS_N*PARAMS_NBAR];
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uint16_t B[PARAMS_N*PARAMS_NBAR] = {0};
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uint16_t S[2*PARAMS_N*PARAMS_NBAR] = {0}; // contains secret data
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uint16_t *E = (uint16_t *)&S[PARAMS_N*PARAMS_NBAR]; // contains secret data
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uint8_t randomness[2*CRYPTO_BYTES + BYTES_SEED_A]; // contains secret data via randomness_s and randomness_seedSE
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uint8_t *randomness_s = &randomness[0]; // contains secret data
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uint8_t *randomness_seedSE = &randomness[CRYPTO_BYTES]; // contains secret data
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uint8_t *randomness_z = &randomness[2*CRYPTO_BYTES];
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uint8_t shake_input_seedSE[1 + CRYPTO_BYTES]; // contains secret data
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// Generate the secret value s, the seed for S and E, and the seed for the seed for A. Add seed_A to the public key
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randombytes(randomness, CRYPTO_BYTES + CRYPTO_BYTES + BYTES_SEED_A);
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shake(pk_seedA, BYTES_SEED_A, randomness_z, BYTES_SEED_A);
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// Generate S and E, and compute B = A*S + E. Generate A on-the-fly
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shake_input_seedSE[0] = 0x5F;
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memcpy(&shake_input_seedSE[1], randomness_seedSE, CRYPTO_BYTES);
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shake((uint8_t*)S, 2*PARAMS_N*PARAMS_NBAR*sizeof(uint16_t), shake_input_seedSE, 1 + CRYPTO_BYTES);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(S, PARAMS_N*PARAMS_NBAR);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(E, PARAMS_N*PARAMS_NBAR);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_as_plus_e(B, S, E, pk);
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// Encode the second part of the public key
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_pack(pk_b, CRYPTO_PUBLICKEYBYTES - BYTES_SEED_A, B, PARAMS_N*PARAMS_NBAR, PARAMS_LOGQ);
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// Add s, pk and S to the secret key
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memcpy(sk_s, randomness_s, CRYPTO_BYTES);
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memcpy(sk_pk, pk, CRYPTO_PUBLICKEYBYTES);
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memcpy(sk_S, S, 2*PARAMS_N*PARAMS_NBAR);
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// Add H(pk) to the secret key
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shake(sk_pkh, BYTES_PKHASH, pk, CRYPTO_PUBLICKEYBYTES);
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// Cleanup:
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)S, PARAMS_N*PARAMS_NBAR*sizeof(uint16_t));
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)E, PARAMS_N*PARAMS_NBAR*sizeof(uint16_t));
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(randomness, 2*CRYPTO_BYTES);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(shake_input_seedSE, 1 + CRYPTO_BYTES);
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return 0;
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}
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_crypto_kem_enc(unsigned char *ct, unsigned char *ss, const unsigned char *pk)
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{ // FrodoKEM's key encapsulation
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const uint8_t *pk_seedA = &pk[0];
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const uint8_t *pk_b = &pk[BYTES_SEED_A];
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uint8_t *ct_c1 = &ct[0];
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uint8_t *ct_c2 = &ct[(PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8];
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uint16_t B[PARAMS_N*PARAMS_NBAR] = {0};
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uint16_t V[PARAMS_NBAR*PARAMS_NBAR]= {0}; // contains secret data
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uint16_t C[PARAMS_NBAR*PARAMS_NBAR] = {0};
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uint16_t Bp[PARAMS_N*PARAMS_NBAR] = {0};
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uint16_t Sp[(2*PARAMS_N+PARAMS_NBAR)*PARAMS_NBAR] = {0}; // contains secret data
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uint16_t *Ep = (uint16_t *)&Sp[PARAMS_N*PARAMS_NBAR]; // contains secret data
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uint16_t *Epp = (uint16_t *)&Sp[2*PARAMS_N*PARAMS_NBAR]; // contains secret data
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uint8_t G2in[BYTES_PKHASH + BYTES_MU]; // contains secret data via mu
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uint8_t *pkh = &G2in[0];
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uint8_t *mu = &G2in[BYTES_PKHASH]; // contains secret data
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uint8_t G2out[2*CRYPTO_BYTES]; // contains secret data
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uint8_t *seedSE = &G2out[0]; // contains secret data
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uint8_t *k = &G2out[CRYPTO_BYTES]; // contains secret data
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uint8_t Fin[CRYPTO_CIPHERTEXTBYTES + CRYPTO_BYTES]; // contains secret data via Fin_k
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uint8_t *Fin_ct = &Fin[0];
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uint8_t *Fin_k = &Fin[CRYPTO_CIPHERTEXTBYTES]; // contains secret data
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uint8_t shake_input_seedSE[1 + CRYPTO_BYTES]; // contains secret data
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// pkh <- G_1(pk), generate random mu, compute (seedSE || k) = G_2(pkh || mu)
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shake(pkh, BYTES_PKHASH, pk, CRYPTO_PUBLICKEYBYTES);
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randombytes(mu, BYTES_MU);
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shake(G2out, CRYPTO_BYTES + CRYPTO_BYTES, G2in, BYTES_PKHASH + BYTES_MU);
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// Generate Sp and Ep, and compute Bp = Sp*A + Ep. Generate A on-the-fly
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shake_input_seedSE[0] = 0x96;
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memcpy(&shake_input_seedSE[1], seedSE, CRYPTO_BYTES);
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shake((uint8_t*)Sp, (2*PARAMS_N+PARAMS_NBAR)*PARAMS_NBAR*sizeof(uint16_t), shake_input_seedSE, 1 + CRYPTO_BYTES);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(Sp, PARAMS_N*PARAMS_NBAR);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(Ep, PARAMS_N*PARAMS_NBAR);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sa_plus_e(Bp, Sp, Ep, pk_seedA);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_pack(ct_c1, (PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8, Bp, PARAMS_N*PARAMS_NBAR, PARAMS_LOGQ);
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// Generate Epp, and compute V = Sp*B + Epp
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(Epp, PARAMS_NBAR*PARAMS_NBAR);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_unpack(B, PARAMS_N*PARAMS_NBAR, pk_b, CRYPTO_PUBLICKEYBYTES - BYTES_SEED_A, PARAMS_LOGQ);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sb_plus_e(V, B, Sp, Epp);
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// Encode mu, and compute C = V + enc(mu) (mod q)
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_key_encode(C, (uint16_t*)mu);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_add(C, V, C);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_pack(ct_c2, (PARAMS_LOGQ*PARAMS_NBAR*PARAMS_NBAR)/8, C, PARAMS_NBAR*PARAMS_NBAR, PARAMS_LOGQ);
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// Compute ss = F(ct||KK)
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memcpy(Fin_ct, ct, CRYPTO_CIPHERTEXTBYTES);
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memcpy(Fin_k, k, CRYPTO_BYTES);
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shake(ss, CRYPTO_BYTES, Fin, CRYPTO_CIPHERTEXTBYTES + CRYPTO_BYTES);
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// Cleanup:
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)V, PARAMS_NBAR*PARAMS_NBAR*sizeof(uint16_t));
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)Sp, PARAMS_N*PARAMS_NBAR*sizeof(uint16_t));
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)Ep, PARAMS_N*PARAMS_NBAR*sizeof(uint16_t));
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)Epp, PARAMS_NBAR*PARAMS_NBAR*sizeof(uint16_t));
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(mu, BYTES_MU);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(G2out, 2*CRYPTO_BYTES);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(Fin_k, CRYPTO_BYTES);
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PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(shake_input_seedSE, 1 + CRYPTO_BYTES);
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return 0;
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}
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int PQCLEAN_FRODOKEM640SHAKE_CLEAN_crypto_kem_dec(unsigned char *ss, const unsigned char *ct, const unsigned char *sk)
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{ // FrodoKEM's key decapsulation
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uint16_t B[PARAMS_N*PARAMS_NBAR] = {0};
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uint16_t Bp[PARAMS_N*PARAMS_NBAR] = {0};
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uint16_t W[PARAMS_NBAR*PARAMS_NBAR] = {0}; // contains secret data
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uint16_t C[PARAMS_NBAR*PARAMS_NBAR] = {0};
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uint16_t CC[PARAMS_NBAR*PARAMS_NBAR] = {0};
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uint16_t BBp[PARAMS_N*PARAMS_NBAR] = {0};
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uint16_t Sp[(2*PARAMS_N+PARAMS_NBAR)*PARAMS_NBAR] = {0}; // contains secret data
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||||||
|
uint16_t *Ep = (uint16_t *)&Sp[PARAMS_N*PARAMS_NBAR]; // contains secret data
|
||||||
|
uint16_t *Epp = (uint16_t *)&Sp[2*PARAMS_N*PARAMS_NBAR]; // contains secret data
|
||||||
|
const uint8_t *ct_c1 = &ct[0];
|
||||||
|
const uint8_t *ct_c2 = &ct[(PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8];
|
||||||
|
const uint8_t *sk_s = &sk[0];
|
||||||
|
const uint8_t *sk_pk = &sk[CRYPTO_BYTES];
|
||||||
|
const uint16_t *sk_S = (uint16_t *) &sk[CRYPTO_BYTES + CRYPTO_PUBLICKEYBYTES];
|
||||||
|
const uint8_t *sk_pkh = &sk[CRYPTO_BYTES + CRYPTO_PUBLICKEYBYTES + 2*PARAMS_N*PARAMS_NBAR];
|
||||||
|
const uint8_t *pk_seedA = &sk_pk[0];
|
||||||
|
const uint8_t *pk_b = &sk_pk[BYTES_SEED_A];
|
||||||
|
uint8_t G2in[BYTES_PKHASH + BYTES_MU]; // contains secret data via muprime
|
||||||
|
uint8_t *pkh = &G2in[0];
|
||||||
|
uint8_t *muprime = &G2in[BYTES_PKHASH]; // contains secret data
|
||||||
|
uint8_t G2out[2*CRYPTO_BYTES]; // contains secret data
|
||||||
|
uint8_t *seedSEprime = &G2out[0]; // contains secret data
|
||||||
|
uint8_t *kprime = &G2out[CRYPTO_BYTES]; // contains secret data
|
||||||
|
uint8_t Fin[CRYPTO_CIPHERTEXTBYTES + CRYPTO_BYTES]; // contains secret data via Fin_k
|
||||||
|
uint8_t *Fin_ct = &Fin[0];
|
||||||
|
uint8_t *Fin_k = &Fin[CRYPTO_CIPHERTEXTBYTES]; // contains secret data
|
||||||
|
uint8_t shake_input_seedSEprime[1 + CRYPTO_BYTES]; // contains secret data
|
||||||
|
|
||||||
|
// Compute W = C - Bp*S (mod q), and decode the randomness mu
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_unpack(Bp, PARAMS_N*PARAMS_NBAR, ct_c1, (PARAMS_LOGQ*PARAMS_N*PARAMS_NBAR)/8, PARAMS_LOGQ);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_unpack(C, PARAMS_NBAR*PARAMS_NBAR, ct_c2, (PARAMS_LOGQ*PARAMS_NBAR*PARAMS_NBAR)/8, PARAMS_LOGQ);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_bs(W, Bp, sk_S);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_sub(W, C, W);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_key_decode((uint16_t*)muprime, W);
|
||||||
|
|
||||||
|
// Generate (seedSE' || k') = G_2(pkh || mu')
|
||||||
|
memcpy(pkh, sk_pkh, BYTES_PKHASH);
|
||||||
|
shake(G2out, CRYPTO_BYTES + CRYPTO_BYTES, G2in, BYTES_PKHASH + BYTES_MU);
|
||||||
|
|
||||||
|
// Generate Sp and Ep, and compute BBp = Sp*A + Ep. Generate A on-the-fly
|
||||||
|
shake_input_seedSEprime[0] = 0x96;
|
||||||
|
memcpy(&shake_input_seedSEprime[1], seedSEprime, CRYPTO_BYTES);
|
||||||
|
shake((uint8_t*)Sp, (2*PARAMS_N+PARAMS_NBAR)*PARAMS_NBAR*sizeof(uint16_t), shake_input_seedSEprime, 1 + CRYPTO_BYTES);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(Sp, PARAMS_N*PARAMS_NBAR);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(Ep, PARAMS_N*PARAMS_NBAR);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sa_plus_e(BBp, Sp, Ep, pk_seedA);
|
||||||
|
|
||||||
|
// Generate Epp, and compute W = Sp*B + Epp
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(Epp, PARAMS_NBAR*PARAMS_NBAR);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_unpack(B, PARAMS_N*PARAMS_NBAR, pk_b, CRYPTO_PUBLICKEYBYTES - BYTES_SEED_A, PARAMS_LOGQ);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sb_plus_e(W, B, Sp, Epp);
|
||||||
|
|
||||||
|
// Encode mu, and compute CC = W + enc(mu') (mod q)
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_key_encode(CC, (uint16_t*)muprime);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_add(CC, W, CC);
|
||||||
|
|
||||||
|
// Prepare input to F
|
||||||
|
memcpy(Fin_ct, ct, CRYPTO_CIPHERTEXTBYTES);
|
||||||
|
|
||||||
|
// Reducing BBp modulo q
|
||||||
|
for (int i = 0; i < PARAMS_N*PARAMS_NBAR; i++) BBp[i] = BBp[i] & ((1 << PARAMS_LOGQ)-1);
|
||||||
|
|
||||||
|
// Is (Bp == BBp & C == CC) = true
|
||||||
|
if (memcmp(Bp, BBp, 2*PARAMS_N*PARAMS_NBAR) == 0 && memcmp(C, CC, 2*PARAMS_NBAR*PARAMS_NBAR) == 0) {
|
||||||
|
// Load k' to do ss = F(ct || k')
|
||||||
|
memcpy(Fin_k, kprime, CRYPTO_BYTES);
|
||||||
|
} else {
|
||||||
|
// Load s to do ss = F(ct || s)
|
||||||
|
memcpy(Fin_k, sk_s, CRYPTO_BYTES);
|
||||||
|
}
|
||||||
|
shake(ss, CRYPTO_BYTES, Fin, CRYPTO_CIPHERTEXTBYTES + CRYPTO_BYTES);
|
||||||
|
|
||||||
|
// Cleanup:
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)W, PARAMS_NBAR*PARAMS_NBAR*sizeof(uint16_t));
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)Sp, PARAMS_N*PARAMS_NBAR*sizeof(uint16_t));
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)Ep, PARAMS_N*PARAMS_NBAR*sizeof(uint16_t));
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes((uint8_t *)Epp, PARAMS_NBAR*PARAMS_NBAR*sizeof(uint16_t));
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(muprime, BYTES_MU);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(G2out, 2*CRYPTO_BYTES);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(Fin_k, CRYPTO_BYTES);
|
||||||
|
PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(shake_input_seedSEprime, 1 + CRYPTO_BYTES);
|
||||||
|
return 0;
|
||||||
|
}
|
72
crypto_kem/frodokem640shake/clean/matrix_shake.c
Normal file
72
crypto_kem/frodokem640shake/clean/matrix_shake.c
Normal file
@ -0,0 +1,72 @@
|
|||||||
|
/********************************************************************************************
|
||||||
|
* FrodoKEM: Learning with Errors Key Encapsulation
|
||||||
|
*
|
||||||
|
* Abstract: matrix arithmetic functions used by the KEM
|
||||||
|
*********************************************************************************************/
|
||||||
|
|
||||||
|
#include <stdint.h>
|
||||||
|
#include <string.h>
|
||||||
|
|
||||||
|
#include "fips202.h"
|
||||||
|
|
||||||
|
#include "api.h"
|
||||||
|
#include "params.h"
|
||||||
|
|
||||||
|
int PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_as_plus_e(uint16_t *out, const uint16_t *s, const uint16_t *e, const uint8_t *seed_A)
|
||||||
|
{ // Generate-and-multiply: generate matrix A (N x N) row-wise, multiply by s on the right.
|
||||||
|
// Inputs: s, e (N x N_BAR)
|
||||||
|
// Output: out = A*s + e (N x N_BAR)
|
||||||
|
int i, j, k;
|
||||||
|
int16_t A[PARAMS_N * PARAMS_N] = {0};
|
||||||
|
|
||||||
|
uint8_t seed_A_separated[2 + BYTES_SEED_A];
|
||||||
|
uint16_t* seed_A_origin = (uint16_t*)&seed_A_separated;
|
||||||
|
memcpy(&seed_A_separated[2], seed_A, BYTES_SEED_A);
|
||||||
|
for (i = 0; i < PARAMS_N; i++) {
|
||||||
|
seed_A_origin[0] = (uint16_t) i;
|
||||||
|
shake128((unsigned char*)(A + i*PARAMS_N), (unsigned long long)(2*PARAMS_N), seed_A_separated, 2 + BYTES_SEED_A);
|
||||||
|
}
|
||||||
|
memcpy(out, e, PARAMS_NBAR * PARAMS_N * sizeof(uint16_t));
|
||||||
|
|
||||||
|
for (i = 0; i < PARAMS_N; i++) { // Matrix multiplication-addition A*s + e
|
||||||
|
for (k = 0; k < PARAMS_NBAR; k++) {
|
||||||
|
uint16_t sum = 0;
|
||||||
|
for (j = 0; j < PARAMS_N; j++) {
|
||||||
|
sum += A[i*PARAMS_N + j] * s[k*PARAMS_N + j];
|
||||||
|
}
|
||||||
|
out[i*PARAMS_NBAR + k] += sum; // Adding e. No need to reduce modulo 2^15, extra bits are taken care of during packing later on.
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return 1;
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
int PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sa_plus_e(uint16_t *out, const uint16_t *s, const uint16_t *e, const uint8_t *seed_A)
|
||||||
|
{ // Generate-and-multiply: generate matrix A (N x N) column-wise, multiply by s' on the left.
|
||||||
|
// Inputs: s', e' (N_BAR x N)
|
||||||
|
// Output: out = s'*A + e' (N_BAR x N)
|
||||||
|
int i, j, k;
|
||||||
|
int16_t A[PARAMS_N * PARAMS_N] = {0};
|
||||||
|
|
||||||
|
uint8_t seed_A_separated[2 + BYTES_SEED_A];
|
||||||
|
uint16_t* seed_A_origin = (uint16_t*)&seed_A_separated;
|
||||||
|
memcpy(&seed_A_separated[2], seed_A, BYTES_SEED_A);
|
||||||
|
for (i = 0; i < PARAMS_N; i++) {
|
||||||
|
seed_A_origin[0] = (uint16_t) i;
|
||||||
|
shake128((unsigned char*)(A + i*PARAMS_N), (unsigned long long)(2*PARAMS_N), seed_A_separated, 2 + BYTES_SEED_A);
|
||||||
|
}
|
||||||
|
memcpy(out, e, PARAMS_NBAR * PARAMS_N * sizeof(uint16_t));
|
||||||
|
|
||||||
|
for (i = 0; i < PARAMS_N; i++) { // Matrix multiplication-addition A*s + e
|
||||||
|
for (k = 0; k < PARAMS_NBAR; k++) {
|
||||||
|
uint16_t sum = 0;
|
||||||
|
for (j = 0; j < PARAMS_N; j++) {
|
||||||
|
sum += A[j*PARAMS_N + i] * s[k*PARAMS_N + j];
|
||||||
|
}
|
||||||
|
out[k*PARAMS_N + i] += sum; // Adding e. No need to reduce modulo 2^15, extra bits are taken care of during packing later on.
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return 1;
|
||||||
|
}
|
33
crypto_kem/frodokem640shake/clean/noise.c
Normal file
33
crypto_kem/frodokem640shake/clean/noise.c
Normal file
@ -0,0 +1,33 @@
|
|||||||
|
/********************************************************************************************
|
||||||
|
* FrodoKEM: Learning with Errors Key Encapsulation
|
||||||
|
*
|
||||||
|
* Abstract: noise sampling functions
|
||||||
|
*********************************************************************************************/
|
||||||
|
|
||||||
|
#include <stdint.h>
|
||||||
|
|
||||||
|
#include "api.h"
|
||||||
|
#include "params.h"
|
||||||
|
|
||||||
|
static uint16_t CDF_TABLE[CDF_TABLE_LEN] = CDF_TABLE_DATA;
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_sample_n(uint16_t *s, const size_t n)
|
||||||
|
{ // Fills vector s with n samples from the noise distribution which requires 16 bits to sample.
|
||||||
|
// The distribution is specified by its CDF.
|
||||||
|
// Input: pseudo-random values (2*n bytes) passed in s. The input is overwritten by the output.
|
||||||
|
unsigned int i, j;
|
||||||
|
|
||||||
|
for (i = 0; i < n; ++i) {
|
||||||
|
uint8_t sample = 0;
|
||||||
|
uint16_t prnd = s[i] >> 1; // Drop the least significant bit
|
||||||
|
uint8_t sign = s[i] & 0x1; // Pick the least significant bit
|
||||||
|
|
||||||
|
// No need to compare with the last value.
|
||||||
|
for (j = 0; j < (unsigned int)(CDF_TABLE_LEN - 1); j++) {
|
||||||
|
// Constant time comparison: 1 if CDF_TABLE[j] < s, 0 otherwise. Uses the fact that CDF_TABLE[j] and s fit in 15 bits.
|
||||||
|
sample += (uint16_t)(CDF_TABLE[j] - prnd) >> 15;
|
||||||
|
}
|
||||||
|
// Assuming that sign is either 0 or 1, flips sample iff sign = 1
|
||||||
|
s[i] = ((-sign) ^ sample) + sign;
|
||||||
|
}
|
||||||
|
}
|
27
crypto_kem/frodokem640shake/clean/params.h
Normal file
27
crypto_kem/frodokem640shake/clean/params.h
Normal file
@ -0,0 +1,27 @@
|
|||||||
|
#ifndef PARAMS_H
|
||||||
|
#define PARAMS_H
|
||||||
|
|
||||||
|
#define CRYPTO_SECRETKEYBYTES PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_SECRETKEYBYTES
|
||||||
|
#define CRYPTO_PUBLICKEYBYTES PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_PUBLICKEYBYTES
|
||||||
|
#define CRYPTO_BYTES PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_BYTES
|
||||||
|
#define CRYPTO_CIPHERTEXTBYTES PQCLEAN_FRODOKEM640SHAKE_CLEAN_CRYPTO_CIPHERTEXTBYTES
|
||||||
|
|
||||||
|
#define PARAMS_N 640
|
||||||
|
#define PARAMS_NBAR 8
|
||||||
|
#define PARAMS_LOGQ 15
|
||||||
|
#define PARAMS_Q (1 << PARAMS_LOGQ)
|
||||||
|
#define PARAMS_EXTRACTED_BITS 2
|
||||||
|
#define PARAMS_STRIPE_STEP 8
|
||||||
|
#define PARAMS_PARALLEL 4
|
||||||
|
#define BYTES_SEED_A 16
|
||||||
|
#define BYTES_MU (PARAMS_EXTRACTED_BITS*PARAMS_NBAR*PARAMS_NBAR)/8
|
||||||
|
#define BYTES_PKHASH CRYPTO_BYTES
|
||||||
|
|
||||||
|
// Selecting SHAKE XOF function for the KEM and noise sampling
|
||||||
|
#define shake shake128
|
||||||
|
|
||||||
|
// CDF table
|
||||||
|
#define CDF_TABLE_DATA {4643, 13363, 20579, 25843, 29227, 31145, 32103, 32525, 32689, 32745, 32762, 32766, 32767}
|
||||||
|
#define CDF_TABLE_LEN 13
|
||||||
|
|
||||||
|
#endif
|
221
crypto_kem/frodokem640shake/clean/util.c
Normal file
221
crypto_kem/frodokem640shake/clean/util.c
Normal file
@ -0,0 +1,221 @@
|
|||||||
|
/********************************************************************************************
|
||||||
|
* FrodoKEM: Learning with Errors Key Encapsulation
|
||||||
|
*
|
||||||
|
* Abstract: additional functions for FrodoKEM
|
||||||
|
*********************************************************************************************/
|
||||||
|
|
||||||
|
#include <stdint.h>
|
||||||
|
#include <string.h>
|
||||||
|
|
||||||
|
#include "api.h"
|
||||||
|
#include "params.h"
|
||||||
|
|
||||||
|
#define min(x, y) (((x) < (y)) ? (x) : (y))
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_bs(uint16_t *out, const uint16_t *b, const uint16_t *s)
|
||||||
|
{ // Multiply by s on the right
|
||||||
|
// Inputs: b (N_BAR x N), s (N x N_BAR)
|
||||||
|
// Output: out = b*s (N_BAR x N_BAR)
|
||||||
|
int i, j, k;
|
||||||
|
|
||||||
|
for (i = 0; i < PARAMS_NBAR; i++) {
|
||||||
|
for (j = 0; j < PARAMS_NBAR; j++) {
|
||||||
|
out[i*PARAMS_NBAR + j] = 0;
|
||||||
|
for (k = 0; k < PARAMS_N; k++) {
|
||||||
|
out[i*PARAMS_NBAR + j] += b[i*PARAMS_N + k] * s[j*PARAMS_N + k];
|
||||||
|
}
|
||||||
|
out[i*PARAMS_NBAR + j] = (uint32_t)(out[i*PARAMS_NBAR + j]) & ((1<<PARAMS_LOGQ)-1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_mul_add_sb_plus_e(uint16_t *out, const uint16_t *b, const uint16_t *s, const uint16_t *e)
|
||||||
|
{ // Multiply by s on the left
|
||||||
|
// Inputs: b (N x N_BAR), s (N_BAR x N), e (N_BAR x N_BAR)
|
||||||
|
// Output: out = s*b + e (N_BAR x N_BAR)
|
||||||
|
int i, j, k;
|
||||||
|
|
||||||
|
for (k = 0; k < PARAMS_NBAR; k++) {
|
||||||
|
for (i = 0; i < PARAMS_NBAR; i++) {
|
||||||
|
out[k*PARAMS_NBAR + i] = e[k*PARAMS_NBAR + i];
|
||||||
|
for (j = 0; j < PARAMS_N; j++) {
|
||||||
|
out[k*PARAMS_NBAR + i] += s[k*PARAMS_N + j] * b[j*PARAMS_NBAR + i];
|
||||||
|
}
|
||||||
|
out[k*PARAMS_NBAR + i] = (uint32_t)(out[k*PARAMS_NBAR + i]) & ((1<<PARAMS_LOGQ)-1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_add(uint16_t *out, const uint16_t *a, const uint16_t *b)
|
||||||
|
{ // Add a and b
|
||||||
|
// Inputs: a, b (N_BAR x N_BAR)
|
||||||
|
// Output: c = a + b
|
||||||
|
|
||||||
|
for (int i = 0; i < (PARAMS_NBAR*PARAMS_NBAR); i++) {
|
||||||
|
out[i] = (a[i] + b[i]) & ((1<<PARAMS_LOGQ)-1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_sub(uint16_t *out, const uint16_t *a, const uint16_t *b)
|
||||||
|
{ // Subtract a and b
|
||||||
|
// Inputs: a, b (N_BAR x N_BAR)
|
||||||
|
// Output: c = a - b
|
||||||
|
|
||||||
|
for (int i = 0; i < (PARAMS_NBAR*PARAMS_NBAR); i++) {
|
||||||
|
out[i] = (a[i] - b[i]) & ((1<<PARAMS_LOGQ)-1);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_key_encode(uint16_t *out, const uint16_t *in)
|
||||||
|
{ // Encoding
|
||||||
|
unsigned int i, j, npieces_word = 8;
|
||||||
|
unsigned int nwords = (PARAMS_NBAR*PARAMS_NBAR)/8;
|
||||||
|
uint64_t temp, mask = ((uint64_t)1 << PARAMS_EXTRACTED_BITS) - 1;
|
||||||
|
uint16_t* pos = out;
|
||||||
|
|
||||||
|
for (i = 0; i < nwords; i++) {
|
||||||
|
temp = 0;
|
||||||
|
for(j = 0; j < PARAMS_EXTRACTED_BITS; j++)
|
||||||
|
temp |= ((uint64_t)((uint8_t*)in)[i*PARAMS_EXTRACTED_BITS + j]) << (8*j);
|
||||||
|
for (j = 0; j < npieces_word; j++) {
|
||||||
|
*pos = (uint16_t)((temp & mask) << (PARAMS_LOGQ - PARAMS_EXTRACTED_BITS));
|
||||||
|
temp >>= PARAMS_EXTRACTED_BITS;
|
||||||
|
pos++;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_key_decode(uint16_t *out, const uint16_t *in)
|
||||||
|
{ // Decoding
|
||||||
|
unsigned int i, j, index = 0, npieces_word = 8;
|
||||||
|
unsigned int nwords = (PARAMS_NBAR * PARAMS_NBAR) / 8;
|
||||||
|
uint16_t temp, maskex=((uint16_t)1 << PARAMS_EXTRACTED_BITS) -1, maskq =((uint16_t)1 << PARAMS_LOGQ) -1;
|
||||||
|
uint8_t *pos = (uint8_t*)out;
|
||||||
|
uint64_t templong;
|
||||||
|
|
||||||
|
for (i = 0; i < nwords; i++) {
|
||||||
|
templong = 0;
|
||||||
|
for (j = 0; j < npieces_word; j++) { // temp = floor(in*2^{-11}+0.5)
|
||||||
|
temp = ((in[index] & maskq) + (1 << (PARAMS_LOGQ - PARAMS_EXTRACTED_BITS - 1))) >> (PARAMS_LOGQ - PARAMS_EXTRACTED_BITS);
|
||||||
|
templong |= ((uint64_t)(temp & maskex)) << (PARAMS_EXTRACTED_BITS * j);
|
||||||
|
index++;
|
||||||
|
}
|
||||||
|
for(j = 0; j < PARAMS_EXTRACTED_BITS; j++)
|
||||||
|
pos[i*PARAMS_EXTRACTED_BITS + j] = (templong >> (8*j)) & 0xFF;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_pack(unsigned char *out, const size_t outlen, const uint16_t *in, const size_t inlen, const unsigned char lsb)
|
||||||
|
{ // Pack the input uint16 vector into a char output vector, copying lsb bits from each input element.
|
||||||
|
// If inlen * lsb / 8 > outlen, only outlen * 8 bits are copied.
|
||||||
|
memset(out, 0, outlen);
|
||||||
|
|
||||||
|
size_t i = 0; // whole bytes already filled in
|
||||||
|
size_t j = 0; // whole uint16_t already copied
|
||||||
|
uint16_t w = 0; // the leftover, not yet copied
|
||||||
|
unsigned char bits = 0; // the number of lsb in w
|
||||||
|
|
||||||
|
while (i < outlen && (j < inlen || ((j == inlen) && (bits > 0)))) {
|
||||||
|
/*
|
||||||
|
in: | | |********|********|
|
||||||
|
^
|
||||||
|
j
|
||||||
|
w : | ****|
|
||||||
|
^
|
||||||
|
bits
|
||||||
|
out:|**|**|**|**|**|**|**|**|* |
|
||||||
|
^^
|
||||||
|
ib
|
||||||
|
*/
|
||||||
|
unsigned char b = 0; // bits in out[i] already filled in
|
||||||
|
while (b < 8) {
|
||||||
|
int nbits = min(8 - b, bits);
|
||||||
|
uint16_t mask = (1 << nbits) - 1;
|
||||||
|
unsigned char t = (w >> (bits - nbits)) & mask; // the bits to copy from w to out
|
||||||
|
out[i] = out[i] + (t << (8 - b - nbits));
|
||||||
|
b += nbits;
|
||||||
|
bits -= nbits;
|
||||||
|
w &= ~(mask << bits); // not strictly necessary; mostly for debugging
|
||||||
|
|
||||||
|
if (bits == 0) {
|
||||||
|
if (j < inlen) {
|
||||||
|
w = in[j];
|
||||||
|
bits = lsb;
|
||||||
|
j++;
|
||||||
|
} else {
|
||||||
|
break; // the input vector is exhausted
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (b == 8) { // out[i] is filled in
|
||||||
|
i++;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_unpack(uint16_t *out, const size_t outlen, const unsigned char *in, const size_t inlen, const unsigned char lsb)
|
||||||
|
{ // Unpack the input char vector into a uint16_t output vector, copying lsb bits
|
||||||
|
// for each output element from input. outlen must be at least ceil(inlen * 8 / lsb).
|
||||||
|
memset(out, 0, outlen * sizeof(uint16_t));
|
||||||
|
|
||||||
|
size_t i = 0; // whole uint16_t already filled in
|
||||||
|
size_t j = 0; // whole bytes already copied
|
||||||
|
unsigned char w = 0; // the leftover, not yet copied
|
||||||
|
unsigned char bits = 0; // the number of lsb bits of w
|
||||||
|
|
||||||
|
while (i < outlen && (j < inlen || ((j == inlen) && (bits > 0)))) {
|
||||||
|
/*
|
||||||
|
in: | | | | | | |**|**|...
|
||||||
|
^
|
||||||
|
j
|
||||||
|
w : | *|
|
||||||
|
^
|
||||||
|
bits
|
||||||
|
out:| *****| *****| *** | |...
|
||||||
|
^ ^
|
||||||
|
i b
|
||||||
|
*/
|
||||||
|
unsigned char b = 0; // bits in out[i] already filled in
|
||||||
|
while (b < lsb) {
|
||||||
|
int nbits = min(lsb - b, bits);
|
||||||
|
uint16_t mask = (1 << nbits) - 1;
|
||||||
|
unsigned char t = (w >> (bits - nbits)) & mask; // the bits to copy from w to out
|
||||||
|
out[i] = out[i] + (t << (lsb - b - nbits));
|
||||||
|
b += nbits;
|
||||||
|
bits -= nbits;
|
||||||
|
w &= ~(mask << bits); // not strictly necessary; mostly for debugging
|
||||||
|
|
||||||
|
if (bits == 0) {
|
||||||
|
if (j < inlen) {
|
||||||
|
w = in[j];
|
||||||
|
bits = 8;
|
||||||
|
j++;
|
||||||
|
} else {
|
||||||
|
break; // the input vector is exhausted
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (b == lsb) { // out[i] is filled in
|
||||||
|
i++;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
void PQCLEAN_FRODOKEM640SHAKE_CLEAN_clear_bytes(uint8_t *mem, size_t n)
|
||||||
|
{ // Clear 8-bit bytes from memory. "n" indicates the number of bytes to be zeroed.
|
||||||
|
// This function uses the volatile type qualifier to inform the compiler not to optimize out the memory clearing.
|
||||||
|
volatile uint8_t *v = mem;
|
||||||
|
|
||||||
|
for (size_t i = 0; i < n; i++) {
|
||||||
|
v[i] = 0;
|
||||||
|
}
|
||||||
|
}
|
Loading…
Reference in New Issue
Block a user