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picnic.c
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picnic.c
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/*! @file picnic.c
* @brief Implementation of the Picnic signature API
*
* This file is part of the reference implementation of the Picnic signature scheme.
* See the accompanying documentation for complete details.
*
* The code is provided under the MIT license, see LICENSE for
* more details.
* SPDX-License-Identifier: MIT
*/
#include <stdio.h>
#include <memory.h>
#include <limits.h>
#include <assert.h>
#include "picnic_impl.h"
#include "picnic3_impl.h"
#include "picnic.h"
#include "picnic_types.h"
#include "lowmc_constants.h"
#include "platform.h"
static int is_valid_params(picnic_params_t params)
{
if (params > 0 && params < PARAMETER_SET_MAX_INDEX) {
return 1;
}
PRINT_DEBUG(("INVALID PARAMS\n"));
return 0;
}
transform_t get_transform(picnic_params_t parameters)
{
switch (parameters) {
case Picnic_L1_FS:
case Picnic_L3_FS:
case Picnic_L5_FS:
case Picnic3_L1:
case Picnic3_L3:
case Picnic3_L5:
case Picnic_L1_full:
case Picnic_L3_full:
case Picnic_L5_full:
return TRANSFORM_FS;
case Picnic_L1_UR:
case Picnic_L3_UR:
case Picnic_L5_UR:
return TRANSFORM_UR;
default:
return TRANSFORM_INVALID;
}
}
const char* picnic_get_param_name(picnic_params_t parameters)
{
switch (parameters) {
case Picnic_L1_FS:
return "Picnic_L1_FS";
case Picnic_L1_UR:
return "Picnic_L1_UR";
case Picnic_L3_FS:
return "Picnic_L3_FS";
case Picnic_L3_UR:
return "Picnic_L3_UR";
case Picnic_L5_FS:
return "Picnic_L5_FS";
case Picnic_L5_UR:
return "Picnic_L5_UR";
case Picnic3_L1:
return "Picnic3_L1";
case Picnic3_L3:
return "Picnic3_L3";
case Picnic3_L5:
return "Picnic3_L5";
case Picnic_L1_full:
return "Picnic_L1_full";
case Picnic_L3_full:
return "Picnic_L3_full";
case Picnic_L5_full:
return "Picnic_L5_full";
default:
return "Unknown parameter set";
}
}
int get_param_set(picnic_params_t picnicParams, paramset_t* paramset)
{
memset(paramset, 0, sizeof(paramset_t));
uint32_t pqSecurityLevel;
switch (picnicParams) {
case Picnic_L1_FS:
case Picnic_L1_UR:
pqSecurityLevel = 64;
paramset->stateSizeBits = 128;
paramset->numMPCRounds = 219;
paramset->numMPCParties = 3;
paramset->numSboxes = 10;
paramset->numRounds = 20;
paramset->digestSizeBytes = 32;
break;
case Picnic_L3_FS:
case Picnic_L3_UR:
pqSecurityLevel = 96;
paramset->stateSizeBits = 192;
paramset->numMPCRounds = 329;
paramset->numMPCParties = 3;
paramset->numSboxes = 10;
paramset->numRounds = 30;
paramset->digestSizeBytes = 48;
break;
case Picnic_L5_FS:
case Picnic_L5_UR:
pqSecurityLevel = 128;
paramset->stateSizeBits = 256;
paramset->numMPCRounds = 438;
paramset->numMPCParties = 3;
paramset->numSboxes = 10;
paramset->numRounds = 38;
paramset->digestSizeBytes = 64;
break;
case Picnic3_L1:
pqSecurityLevel = 64;
paramset->stateSizeBits = 129;
paramset->numMPCRounds = 250;
paramset->numOpenedRounds = 36;
paramset->numMPCParties = 16;
paramset->numSboxes = 43;
paramset->numRounds = 4;
paramset->digestSizeBytes = 32;
break;
case Picnic3_L3:
pqSecurityLevel = 96;
paramset->stateSizeBits = 192;
paramset->numMPCRounds = 419;
paramset->numOpenedRounds = 52;
paramset->numMPCParties = 16;
paramset->numSboxes = 64;
paramset->numRounds = 4;
paramset->digestSizeBytes = 48;
break;
case Picnic3_L5:
pqSecurityLevel = 128;
paramset->stateSizeBits = 255;
paramset->numMPCRounds = 601;
paramset->numOpenedRounds = 68;
paramset->numMPCParties = 16;
paramset->numSboxes = 85;
paramset->numRounds = 4;
paramset->digestSizeBytes = 64;
break;
case Picnic_L1_full:
pqSecurityLevel = 64;
paramset->stateSizeBits = 129;
paramset->numMPCRounds = 219;
paramset->numMPCParties = 3;
paramset->numSboxes = 43;
paramset->numRounds = 4;
paramset->digestSizeBytes = 32;
break;
case Picnic_L3_full:
pqSecurityLevel = 96;
paramset->stateSizeBits = 192;
paramset->numMPCRounds = 329;
paramset->numMPCParties = 3;
paramset->numSboxes = 64;
paramset->numRounds = 4;
paramset->digestSizeBytes = 48;
break;
case Picnic_L5_full:
pqSecurityLevel = 128;
paramset->stateSizeBits = 255;
paramset->numMPCRounds = 438;
paramset->numMPCParties = 3;
paramset->numSboxes = 85;
paramset->numRounds = 4;
paramset->digestSizeBytes = 64;
break;
default:
PRINT_DEBUG(("Unsupported Picnic parameter set (%d). \n",picnicParams));
return -1;
}
paramset->andSizeBytes = numBytes(paramset->numSboxes * 3 * paramset->numRounds);
paramset->stateSizeBytes = numBytes(paramset->stateSizeBits);
paramset->seedSizeBytes = numBytes(2 * pqSecurityLevel);
paramset->stateSizeWords = (paramset->stateSizeBits + WORD_SIZE_BITS - 1)/ WORD_SIZE_BITS;
paramset->transform = get_transform(picnicParams);
paramset->saltSizeBytes = 32; /* same for all parameter sets */
if (paramset->transform == TRANSFORM_UR) {
paramset->UnruhGWithoutInputBytes = paramset->seedSizeBytes + paramset->andSizeBytes;
paramset->UnruhGWithInputBytes = paramset->UnruhGWithoutInputBytes + paramset->stateSizeBytes;
}
return EXIT_SUCCESS;
}
int picnic_keygen(picnic_params_t parameters, picnic_publickey_t* pk,
picnic_privatekey_t* sk)
{
if (!is_valid_params(parameters)) {
PRINT_DEBUG(("Invalid parameter set\n"));
return -1;
}
if (pk == NULL) {
PRINT_DEBUG(("public key is NULL\n"));
return -1;
}
if (sk == NULL) {
PRINT_DEBUG(("private key is NULL\n"));
return -1;
}
memset(pk, 0x00, sizeof(picnic_publickey_t));
memset(sk, 0x00, sizeof(picnic_privatekey_t));
paramset_t paramset;
int ret = get_param_set(parameters, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to initialize parameter set\n"));
return -1;
}
sk->params = parameters;
pk->params = parameters;
/* Generate a private key */
if (picnic_random_bytes(sk->data, paramset.stateSizeBytes) != 0) {
PRINT_DEBUG(("Failed to generate private key\n"));
return -1;
}
zeroTrailingBits(sk->data, paramset.stateSizeBits);
/* Generate a random plaintext block */
if (picnic_random_bytes(pk->plaintext, paramset.stateSizeBytes) != 0) {
PRINT_DEBUG(("Failed to generate private key\n"));
return -1;
}
zeroTrailingBits(pk->plaintext, paramset.stateSizeBits);
/* Compute the ciphertext */
LowMCEnc((uint32_t*)pk->plaintext, (uint32_t*)pk->ciphertext,
(uint32_t*)sk->data, ¶mset);
/* Make of copy of the public key in the private key */
memcpy(&(sk->pk), pk, sizeof(picnic_publickey_t));
return 0;
}
int is_picnic3(picnic_params_t params)
{
if (params == Picnic3_L1 ||
params == Picnic3_L3 ||
params == Picnic3_L5 ) {
return 1;
}
return 0;
}
int picnic_sign(picnic_privatekey_t* sk, const uint8_t* message, size_t message_len,
uint8_t* signature, size_t* signature_len)
{
int ret;
paramset_t paramset;
ret = get_param_set(sk->params, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to initialize parameter set\n"));
return -1;
}
if (!is_picnic3(sk->params)) {
signature_t* sig = (signature_t*)malloc(sizeof(signature_t));
allocateSignature(sig, ¶mset);
if (sig == NULL) {
return -1;
}
ret = sign_picnic1((uint32_t*)sk->data, (uint32_t*)sk->pk.ciphertext, (uint32_t*)sk->pk.plaintext, message,
message_len, sig, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to create signature\n"));
freeSignature(sig, ¶mset);
free(sig);
return -1;
}
ret = serializeSignature(sig, signature, *signature_len, ¶mset);
if (ret == -1) {
PRINT_DEBUG(("Failed to serialize signature\n"));
freeSignature(sig, ¶mset);
free(sig);
return -1;
}
*signature_len = ret;
freeSignature(sig, ¶mset);
free(sig);
}
else {
signature2_t* sig = (signature2_t*)malloc(sizeof(signature2_t));
allocateSignature2(sig, ¶mset);
if (sig == NULL) {
return -1;
}
ret = sign_picnic3((uint32_t*)sk->data, (uint32_t*)sk->pk.ciphertext, (uint32_t*)sk->pk.plaintext, message,
message_len, sig, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to create signature\n"));
freeSignature2(sig, ¶mset);
free(sig);
return -1;
}
ret = serializeSignature2(sig, signature, *signature_len, ¶mset);
if (ret == -1) {
PRINT_DEBUG(("Failed to serialize signature\n"));
fflush(stderr);
freeSignature2(sig, ¶mset);
free(sig);
return -1;
}
*signature_len = ret;
freeSignature2(sig, ¶mset);
free(sig);
}
return 0;
}
size_t picnic_signature_size(picnic_params_t parameters)
{
paramset_t paramset;
int ret = get_param_set(parameters, ¶mset);
if (ret != EXIT_SUCCESS) {
return PICNIC_MAX_SIGNATURE_SIZE;
}
/* Picnic3 parameter sets */
if (parameters == Picnic3_L1 ||
parameters == Picnic3_L3 ||
parameters == Picnic3_L5 ) {
size_t u = paramset.numOpenedRounds;
size_t T = paramset.numMPCRounds;
size_t numTreeValues = u * ceil_log2((T + (u - 1)) / u); // u*ceil(log2(ceil(T/u)))
size_t proofSize = paramset.seedSizeBytes * ceil_log2(paramset.numMPCParties) // Info to recompute seeds
+ paramset.andSizeBytes + paramset.stateSizeBytes // circuit size, size of aux info
+ paramset.digestSizeBytes // size of commitment of unopened party
+ paramset.stateSizeBytes // masked input
+ paramset.andSizeBytes; //size of broadcast messages
size_t signatureSize = paramset.saltSizeBytes // salt
+ paramset.digestSizeBytes // challenge hash
+ numTreeValues * paramset.seedSizeBytes // iSeed info
+ numTreeValues * paramset.digestSizeBytes // commitment opening info for views
+ proofSize * u; // one proof per challenged execution
return signatureSize;
}
/* Other paramter sets */
switch (paramset.transform) {
case TRANSFORM_FS:
// This is the largest possible FS signature size and would result when no challenges are 0 -- which would require us to include stateSizeBytes for every ZKB round.
return paramset.numMPCRounds * (paramset.digestSizeBytes + paramset.stateSizeBytes + numBytes(3 * paramset.numSboxes * paramset.numRounds) + 2 * paramset.seedSizeBytes) + numBytes(2 * paramset.numMPCRounds) + paramset.saltSizeBytes;
case TRANSFORM_UR:
return paramset.numMPCRounds * (paramset.digestSizeBytes + paramset.stateSizeBytes + 2 * numBytes(3 * paramset.numSboxes * paramset.numRounds) + 3 * paramset.seedSizeBytes) + numBytes(2 * paramset.numMPCRounds) + paramset.saltSizeBytes;
default:
return PICNIC_MAX_SIGNATURE_SIZE;
}
}
int picnic_verify(picnic_publickey_t* pk, const uint8_t* message, size_t message_len,
const uint8_t* signature, size_t signature_len)
{
int ret;
paramset_t paramset;
ret = get_param_set(pk->params, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to initialize parameter set\n"));
return -1;
}
if (!is_picnic3(pk->params)) {
signature_t* sig = (signature_t*)malloc(sizeof(signature_t));
allocateSignature(sig, ¶mset);
if (sig == NULL) {
return -1;
}
ret = deserializeSignature(sig, signature, signature_len, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to deserialize signature\n"));
freeSignature(sig, ¶mset);
free(sig);
return -1;
}
ret = verify(sig, (uint32_t*)pk->ciphertext,
(uint32_t*)pk->plaintext, message, message_len, ¶mset);
if (ret != EXIT_SUCCESS) {
/* Signature is invalid, or verify function failed */
freeSignature(sig, ¶mset);
free(sig);
return -1;
}
freeSignature(sig, ¶mset);
free(sig);
}
else {
signature2_t* sig = (signature2_t*)malloc(sizeof(signature2_t));
allocateSignature2(sig, ¶mset);
if (sig == NULL) {
return -1;
}
ret = deserializeSignature2(sig, signature, signature_len, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to deserialize signature\n"));
freeSignature2(sig, ¶mset);
free(sig);
return -1;
}
ret = verify_picnic3(sig, (uint32_t*)pk->ciphertext,
(uint32_t*)pk->plaintext, message, message_len, ¶mset);
if (ret != EXIT_SUCCESS) {
/* Signature is invalid, or verify function failed */
freeSignature2(sig, ¶mset);
free(sig);
return -1;
}
freeSignature2(sig, ¶mset);
free(sig);
}
return 0;
}
/* Serialize public key */
int picnic_write_public_key(const picnic_publickey_t* key, uint8_t* buf, size_t buflen)
{
if (key == NULL || buf == NULL) {
return -1;
}
paramset_t paramset;
int ret = get_param_set(key->params, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to initialize parameter set\n"));
return -1;
}
size_t keySizeBytes = paramset.stateSizeBytes;
size_t bytesRequired = 1 + 2 * keySizeBytes;
if (buflen < bytesRequired) {
return -1;
}
buf[0] = (uint8_t)key->params;
memcpy(buf + 1, key->ciphertext, keySizeBytes);
memcpy(buf + 1 + keySizeBytes, key->plaintext, keySizeBytes);
return (int)bytesRequired;
}
int picnic_read_public_key(picnic_publickey_t* key, const uint8_t* buf, size_t buflen)
{
if (key == NULL || buf == NULL) {
return -1;
}
if (buflen < 1 || !is_valid_params(buf[0])) {
return -1;
}
key->params = buf[0];
paramset_t paramset;
int ret = get_param_set(key->params, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to initialize parameter set\n"));
return -1;
}
size_t keySizeBytes = paramset.stateSizeBytes;
size_t bytesExpected = 1 + 2 * keySizeBytes;
if (buflen < bytesExpected) {
return -1;
}
memcpy(key->ciphertext, buf + 1, keySizeBytes);
memcpy(key->plaintext, buf + 1 + keySizeBytes, keySizeBytes);
if(!arePaddingBitsZero(key->ciphertext, paramset.stateSizeBits) ||
!arePaddingBitsZero(key->plaintext, paramset.stateSizeBits) ) {
return -1;
}
return 0;
}
/* Serialize a private key. */
int picnic_write_private_key(const picnic_privatekey_t* key, uint8_t* buf, size_t buflen)
{
if (key == NULL || buf == NULL) {
return -1;
}
paramset_t paramset;
int ret = get_param_set(key->params, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to initialize paramset set\n"));
return -1;
}
size_t n = paramset.stateSizeBytes;
size_t bytesRequired = 1 + 3 * n;
if (buflen < bytesRequired) {
PRINT_DEBUG(("buffer provided has %u bytes, but %u are required.\n", (uint32_t)buflen, (uint32_t)bytesRequired));
return -1;
}
buf[0] = (uint8_t)key->params;
memcpy(buf + 1, key->data, n);
memcpy(buf + 1 + n, key->pk.ciphertext, n);
memcpy(buf + 1 + 2 * n, key->pk.plaintext, n);
return (int)bytesRequired;
}
/* De-serialize a private key. */
int picnic_read_private_key(picnic_privatekey_t* key, const uint8_t* buf, size_t buflen)
{
if (key == NULL || buf == NULL) {
return -1;
}
if (buflen < 1 || !is_valid_params(buf[0])) {
return -1;
}
memset(key, 0x00, sizeof(picnic_privatekey_t));
key->params = buf[0];
key->pk.params = buf[0];
paramset_t paramset;
int ret = get_param_set(key->params, ¶mset);
if (ret != EXIT_SUCCESS) {
PRINT_DEBUG(("Failed to initialize paramset set\n"));
return -1;
}
size_t n = paramset.stateSizeBytes;
size_t bytesExpected = 1 + 3 * n;
if (buflen < bytesExpected) {
return -1;
}
memcpy(key->data, buf + 1, n);
memcpy(key->pk.ciphertext, buf + 1 + n, n);
memcpy(key->pk.plaintext, buf + 1 + 2 * n, n);
if(!arePaddingBitsZero(key->data, paramset.stateSizeBits) ||
!arePaddingBitsZero(key->pk.ciphertext, paramset.stateSizeBits) ||
!arePaddingBitsZero(key->pk.plaintext, paramset.stateSizeBits) ) {
return -1;
}
return 0;
}
/* Check that a key pair is valid. */
int picnic_validate_keypair(const picnic_privatekey_t* privatekey, const picnic_publickey_t* publickey)
{
paramset_t paramset;
int ret;
ret = get_param_set(publickey->params, ¶mset);
if (ret != EXIT_SUCCESS) {
return -1;
}
if (privatekey == NULL || publickey == NULL) {
return -1;
}
if (privatekey->params != publickey->params) {
return -1;
}
if (!is_valid_params(privatekey->params)) {
return -1;
}
/* Re-compute the ciphertext and compare to the value in the public key. */
uint8_t ciphertext[sizeof(publickey->ciphertext)];
memset(ciphertext, 0x00, sizeof(ciphertext));
LowMCEnc((uint32_t*)publickey->plaintext, (uint32_t*)ciphertext, (uint32_t*)privatekey->data, ¶mset);
if (memcmp(ciphertext, publickey->ciphertext, paramset.stateSizeBytes) != 0) {
return -1;
}
return 0;
}
static void print_signature2(const uint8_t* sigBytes, size_t sigBytesLen, picnic_params_t picnic_params )
{
signature2_t sig;
char label[50];
if(picnic_params != Picnic3_L1 &&
picnic_params != Picnic3_L3 &&
picnic_params != Picnic3_L5 )
{
printf("Invalid parameter set passed to %s\n", __func__);
return;
}
paramset_t params;
int ret = get_param_set(picnic_params, ¶ms);
if (ret != EXIT_SUCCESS) {
printf("Invalid parameters\n");
return;
}
allocateSignature2(&sig, ¶ms);
ret = deserializeSignature2(&sig, sigBytes, sigBytesLen, ¶ms);
if (ret != 0) {
printf("Invalid signature; deserialization fails\n");
return;
}
proof2_t* proofs = sig.proofs;
printf("challenge C: ");
for(size_t i = 0; i < params.numOpenedRounds; i++) {
printf("%u, ", sig.challengeC[i]);
}
printf("\n");
printf("challenge P: ");
for(size_t i = 0; i < params.numOpenedRounds; i++) {
printf("%u, ", sig.challengeP[i]);
}
printf("\n");
printHex("salt", sig.salt, params.saltSizeBytes);
printHex("iSeedInfo", sig.iSeedInfo, sig.iSeedInfoLen);
printHex("cvInfo", sig.cvInfo, sig.cvInfoLen);
printf("\n");
for (size_t i = 0; i < params.numOpenedRounds; i++) {
uint16_t c = sig.challengeC[i];
uint16_t p = sig.challengeP[i];
printf("u = %u, MPC instance index c = %u, unopened party index = %u\n", (uint32_t)i, c, p);
printHex("seedInfo", proofs[c].seedInfo, proofs[c].seedInfoLen);
printHex("aux", proofs[c].aux, params.andSizeBytes);
snprintf(label, sizeof(label), "C[%u][%u]", c,p);
printHex(label, proofs[c].C, params.digestSizeBytes);
printHex("masked input", proofs[c].input, params.stateSizeBytes);
printHex("msgs", proofs[c].msgs, params.stateSizeBytes + params.andSizeBytes);
printf("\n");
}
freeSignature2(&sig, ¶ms);
return;
}
void print_signature(const uint8_t* sigBytes, size_t sigBytesLen, picnic_params_t picnic_params )
{
signature_t sig;
char label[50];
if(picnic_params == Picnic3_L1 ||
picnic_params == Picnic3_L3 ||
picnic_params == Picnic3_L5 )
{
print_signature2(sigBytes, sigBytesLen, picnic_params);
return;
}
paramset_t params;
int ret = get_param_set(picnic_params, ¶ms);
if (ret != EXIT_SUCCESS) {
printf("Invalid parameters\n");
return;
}
allocateSignature(&sig, ¶ms);
ret = deserializeSignature(&sig, sigBytes, sigBytesLen, ¶ms);
if (ret != 0) {
printf("Invalid signature; deserialization fails\n");
return;
}
proof_t* proofs = sig.proofs;
uint8_t* challengeBits = sig.challengeBits;
memcpy(challengeBits, sigBytes, numBytes(2 * params.numMPCRounds));
sigBytes += numBytes(2 * params.numMPCRounds);
printHex("challenge", challengeBits, numBytes(2 * params.numMPCRounds));
printHex("salt", sigBytes, params.saltSizeBytes);
sigBytes += params.saltSizeBytes;
printf("\n");
for (size_t i = 0; i < params.numMPCRounds; i++) {
printf("Iteration t: %u\n", (uint32_t)i);
uint8_t challenge = getChallenge(challengeBits, i);
printf("e_%u: %u\n", (uint32_t)i, challenge);
memcpy(proofs[i].view3Commitment, sigBytes, params.digestSizeBytes);
sigBytes += params.digestSizeBytes;
snprintf(label, sizeof(label), "b_%u", (uint32_t)i);
printHex(label, proofs[i].view3Commitment, params.digestSizeBytes);
if (params.transform == TRANSFORM_UR) {
size_t view3UnruhLength = (challenge == 0) ? params.UnruhGWithInputBytes : params.UnruhGWithoutInputBytes;
memcpy(proofs[i].view3UnruhG, sigBytes, view3UnruhLength);
sigBytes += view3UnruhLength;
snprintf(label, sizeof(label), "G_%u", (uint32_t)i);
printHex(label, proofs[i].view3UnruhG, view3UnruhLength);
}
memcpy(proofs[i].communicatedBits, sigBytes, params.andSizeBytes);
sigBytes += params.andSizeBytes;
printHex("transcript", proofs[i].communicatedBits, params.andSizeBytes);
memcpy(proofs[i].seed1, sigBytes, params.seedSizeBytes);
sigBytes += params.seedSizeBytes;
printHex("seed1", proofs[i].seed1, params.seedSizeBytes);
memcpy(proofs[i].seed2, sigBytes, params.seedSizeBytes);
sigBytes += params.seedSizeBytes;
printHex("seed2", proofs[i].seed2, params.seedSizeBytes);
if (challenge == 1 || challenge == 2) {
memcpy(proofs[i].inputShare, sigBytes, params.stateSizeBytes);
sigBytes += params.stateSizeBytes;
printHex("inputShare", (uint8_t*)proofs[i].inputShare, params.stateSizeBytes);
}
printf("\n");
}
freeSignature(&sig, ¶ms);
return;
}