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secp256k1-zkp/src/modules/rangeproof/main_impl.h

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Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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/**********************************************************************
* Copyright (c) 2014-2015 Gregory Maxwell *
* Distributed under the MIT software license, see the accompanying *
* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
**********************************************************************/
#ifndef SECP256K1_MODULE_RANGEPROOF_MAIN
#define SECP256K1_MODULE_RANGEPROOF_MAIN
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
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#include "group.h"
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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#include "modules/rangeproof/pedersen_impl.h"
#include "modules/rangeproof/borromean_impl.h"
#include "modules/rangeproof/rangeproof_impl.h"
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
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static void secp256k1_pedersen_commitment_load(secp256k1_ge* ge, const secp256k1_pedersen_commitment* commit) {
secp256k1_fe fe;
secp256k1_fe_set_b32(&fe, &commit->data[1]);
secp256k1_ge_set_xquad(ge, &fe);
if (commit->data[0] & 1) {
secp256k1_ge_neg(ge, ge);
}
}
static void secp256k1_pedersen_commitment_save(secp256k1_pedersen_commitment* commit, secp256k1_ge* ge) {
secp256k1_fe_normalize(&ge->x);
secp256k1_fe_get_b32(&commit->data[1], &ge->x);
commit->data[0] = 9 ^ secp256k1_fe_is_quad_var(&ge->y);
}
int secp256k1_pedersen_commitment_parse(const secp256k1_context* ctx, secp256k1_pedersen_commitment* commit, const unsigned char *input) {
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(commit != NULL);
ARG_CHECK(input != NULL);
memcpy(commit->data, input, sizeof(commit->data));
return 1;
}
int secp256k1_pedersen_commitment_serialize(const secp256k1_context* ctx, unsigned char *output, const secp256k1_pedersen_commitment* commit) {
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(output != NULL);
ARG_CHECK(commit != NULL);
memcpy(output, commit->data, sizeof(commit->data));
return 1;
}
/* Generates a pedersen commitment: *commit = blind * G + value * G2. The blinding factor is 32 bytes.*/
int secp256k1_pedersen_commit(const secp256k1_context* ctx, secp256k1_pedersen_commitment *commit, const unsigned char *blind, uint64_t value) {
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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secp256k1_gej rj;
secp256k1_ge r;
secp256k1_scalar sec;
int overflow;
int ret = 0;
ARG_CHECK(ctx != NULL);
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
ARG_CHECK(commit != NULL);
ARG_CHECK(blind != NULL);
secp256k1_scalar_set_b32(&sec, blind, &overflow);
if (!overflow) {
Get rid of precomputed H tables
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secp256k1_pedersen_ecmult(&ctx->ecmult_gen_ctx, &rj, &sec, value);
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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if (!secp256k1_gej_is_infinity(&rj)) {
secp256k1_ge_set_gej(&r, &rj);
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
secp256k1_pedersen_commitment_save(commit, &r);
ret = 1;
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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}
secp256k1_gej_clear(&rj);
secp256k1_ge_clear(&r);
}
secp256k1_scalar_clear(&sec);
return ret;
}
/** Takes a list of n pointers to 32 byte blinding values, the first negs of which are treated with positive sign and the rest
* negative, then calculates an additional blinding value that adds to zero.
*/
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
int secp256k1_pedersen_blind_sum(const secp256k1_context* ctx, unsigned char *blind_out, const unsigned char * const *blinds, size_t n, size_t npositive) {
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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secp256k1_scalar acc;
secp256k1_scalar x;
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
size_t i;
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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int overflow;
ARG_CHECK(ctx != NULL);
ARG_CHECK(blind_out != NULL);
ARG_CHECK(blinds != NULL);
secp256k1_scalar_set_int(&acc, 0);
for (i = 0; i < n; i++) {
secp256k1_scalar_set_b32(&x, blinds[i], &overflow);
if (overflow) {
return 0;
}
if (i >= npositive) {
secp256k1_scalar_negate(&x, &x);
}
secp256k1_scalar_add(&acc, &acc, &x);
}
secp256k1_scalar_get_b32(blind_out, &acc);
secp256k1_scalar_clear(&acc);
secp256k1_scalar_clear(&x);
return 1;
}
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
/* Takes two lists of commitments and sums the first set and subtracts the second and verifies that they sum to excess. */
int secp256k1_pedersen_verify_tally(const secp256k1_context* ctx, const secp256k1_pedersen_commitment * const* commits, size_t pcnt, const secp256k1_pedersen_commitment * const* ncommits, size_t ncnt, int64_t excess) {
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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secp256k1_gej accj;
secp256k1_ge add;
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
size_t i;
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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ARG_CHECK(ctx != NULL);
ARG_CHECK(!pcnt || (commits != NULL));
ARG_CHECK(!ncnt || (ncommits != NULL));
secp256k1_gej_set_infinity(&accj);
if (excess) {
uint64_t ex;
int neg;
/* Take the absolute value, and negate the result if the input was negative. */
neg = secp256k1_sign_and_abs64(&ex, excess);
Get rid of precomputed H tables
2016-07-01 14:38:00 +02:00
secp256k1_pedersen_ecmult_small(&accj, ex);
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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if (neg) {
secp256k1_gej_neg(&accj, &accj);
}
}
for (i = 0; i < ncnt; i++) {
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
secp256k1_pedersen_commitment_load(&add, ncommits[i]);
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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secp256k1_gej_add_ge_var(&accj, &accj, &add, NULL);
}
secp256k1_gej_neg(&accj, &accj);
for (i = 0; i < pcnt; i++) {
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
secp256k1_pedersen_commitment_load(&add, commits[i]);
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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secp256k1_gej_add_ge_var(&accj, &accj, &add, NULL);
}
return secp256k1_gej_is_infinity(&accj);
}
int secp256k1_rangeproof_info(const secp256k1_context* ctx, int *exp, int *mantissa,
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
uint64_t *min_value, uint64_t *max_value, const unsigned char *proof, size_t plen) {
size_t offset;
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
2015-08-05 19:04:14 +02:00
uint64_t scale;
ARG_CHECK(exp != NULL);
ARG_CHECK(mantissa != NULL);
ARG_CHECK(min_value != NULL);
ARG_CHECK(max_value != NULL);
offset = 0;
scale = 1;
(void)ctx;
return secp256k1_rangeproof_getheader_impl(&offset, exp, mantissa, &scale, min_value, max_value, proof, plen);
}
int secp256k1_rangeproof_rewind(const secp256k1_context* ctx,
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
unsigned char *blind_out, uint64_t *value_out, unsigned char *message_out, size_t *outlen, const unsigned char *nonce,
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
2015-08-05 19:04:14 +02:00
uint64_t *min_value, uint64_t *max_value,
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
const secp256k1_pedersen_commitment *commit, const unsigned char *proof, size_t plen) {
secp256k1_ge commitp;
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
2015-08-05 19:04:14 +02:00
ARG_CHECK(ctx != NULL);
ARG_CHECK(commit != NULL);
ARG_CHECK(proof != NULL);
ARG_CHECK(min_value != NULL);
ARG_CHECK(max_value != NULL);
ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
secp256k1_pedersen_commitment_load(&commitp, commit);
Get rid of precomputed H tables
2016-07-01 14:38:00 +02:00
return secp256k1_rangeproof_verify_impl(&ctx->ecmult_ctx, &ctx->ecmult_gen_ctx,
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
blind_out, value_out, message_out, outlen, nonce, min_value, max_value, &commitp, proof, plen);
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
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}
int secp256k1_rangeproof_verify(const secp256k1_context* ctx, uint64_t *min_value, uint64_t *max_value,
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
const secp256k1_pedersen_commitment *commit, const unsigned char *proof, size_t plen) {
secp256k1_ge commitp;
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
2015-08-05 19:04:14 +02:00
ARG_CHECK(ctx != NULL);
ARG_CHECK(commit != NULL);
ARG_CHECK(proof != NULL);
ARG_CHECK(min_value != NULL);
ARG_CHECK(max_value != NULL);
ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
secp256k1_pedersen_commitment_load(&commitp, commit);
Get rid of precomputed H tables
2016-07-01 14:38:00 +02:00
return secp256k1_rangeproof_verify_impl(&ctx->ecmult_ctx, NULL,
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
NULL, NULL, NULL, NULL, NULL, min_value, max_value, &commitp, proof, plen);
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
2015-08-05 19:04:14 +02:00
}
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
int secp256k1_rangeproof_sign(const secp256k1_context* ctx, unsigned char *proof, size_t *plen, uint64_t min_value,
const secp256k1_pedersen_commitment *commit, const unsigned char *blind, const unsigned char *nonce, int exp, int min_bits, uint64_t value){
secp256k1_ge commitp;
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
2015-08-05 19:04:14 +02:00
ARG_CHECK(ctx != NULL);
ARG_CHECK(proof != NULL);
ARG_CHECK(plen != NULL);
ARG_CHECK(commit != NULL);
ARG_CHECK(blind != NULL);
ARG_CHECK(nonce != NULL);
ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
secp256k1_pedersen_commitment_load(&commitp, commit);
Get rid of precomputed H tables
2016-07-01 14:38:00 +02:00
return secp256k1_rangeproof_sign_impl(&ctx->ecmult_ctx, &ctx->ecmult_gen_ctx,
[RANGEPROOF BREAK] Use quadratic residue for tie break and modularity cleanup Switch to secp256k1_pedersen_commitment by Andrew Poelstra. Switch to quadratic residue based disambiguation by Pieter Wuille.
2016-07-04 13:04:57 +00:00
proof, plen, min_value, &commitp, blind, nonce, exp, min_bits, value);
Pedersen commitments, borromean ring signatures, and ZK range proofs. This commit adds three new cryptosystems to libsecp256k1: Pedersen commitments are a system for making blinded commitments to a value. Functionally they work like: commit_b,v = H(blind_b || value_v), except they are additively homorphic, e.g. C(b1, v1) - C(b2, v2) = C(b1 - b2, v1 - v2) and C(b1, v1) - C(b1, v1) = 0, etc. The commitments themselves are EC points, serialized as 33 bytes. In addition to the commit function this implementation includes utility functions for verifying that a set of commitments sums to zero, and for picking blinding factors that sum to zero. If the blinding factors are uniformly random, pedersen commitments have information theoretic privacy. Borromean ring signatures are a novel efficient ring signature construction for AND/OR admissions policies (the code here implements an AND of ORs, each of any size). This construction requires 32 bytes of signature per pubkey used plus 32 bytes of constant overhead. With these you can construct signatures like "Given pubkeys A B C D E F G, the signer knows the discrete logs satisifying (A || B) & (C || D || E) & (F || G)". ZK range proofs allow someone to prove a pedersen commitment is in a particular range (e.g. [0..2^64)) without revealing the specific value. The construction here is based on the above borromean ring signature and uses a radix-4 encoding and other optimizations to maximize efficiency. It also supports encoding proofs with a non-private base-10 exponent and minimum-value to allow trading off secrecy for size and speed (or just avoiding wasting space keeping data private that was already public due to external constraints). A proof for a 32-bit mantissa takes 2564 bytes, but 2048 bytes of this can be used to communicate a private message to a receiver who shares a secret random seed with the prover.
2015-08-05 19:04:14 +02:00
}
#endif
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