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crypto: derive key image generator & separate {un}biased hash to ec

Browse Source 
https://github.com/monero-project/research-lab/issues/142

Co-authored-by: Jeffro <jeffro256@tutanota.com>
Co-authored-by: Luke Parker <lukeparker5132@gmail.com>
This commit is contained in:
j-berman
2026-07-15 10:34:42 -07:00
co-authored by Jeffro Luke Parker
parent 2af2b48c03
commit 0afd50cc51
8 changed files with 612 additions and 267 deletions
Download Patch File Download Diff File Expand all files Collapse all files
src/crypto/blake2b.c
+74 -1
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@@ -36,6 +36,7 @@ OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#include "memwipe.h" #include "memwipe.h"
#include <assert.h>
#include <stdint.h> #include <stdint.h>
#include <string.h> #include <string.h>
#include <stdio.h> #include <stdio.h>
@@ -280,9 +281,12 @@ int blake2b_init_key(blake2b_state *S, size_t outlen, const void *key, size_t ke
uint8_t block[BLAKE2B_BLOCKBYTES]; uint8_t block[BLAKE2B_BLOCKBYTES];
memset(block, 0, BLAKE2B_BLOCKBYTES); memset(block, 0, BLAKE2B_BLOCKBYTES);
memcpy(block, key, keylen); memcpy(block, key, keylen);
blake2b_update(S, block, BLAKE2B_BLOCKBYTES); int r = blake2b_update(S, block, BLAKE2B_BLOCKBYTES);
/* Burn the key from stack */ /* Burn the key from stack */
clear_internal_memory(block, BLAKE2B_BLOCKBYTES); clear_internal_memory(block, BLAKE2B_BLOCKBYTES);
if (r < 0) {
return -1;
}
} }
return 0; return 0;
} }
@@ -515,4 +519,73 @@ fail:
} }
/* Argon2 Team - End Code */ /* Argon2 Team - End Code */
int blake2b_monero(void *out, size_t outlen, const void *in, size_t inlen,
const void *key, size_t keylen) {
// At this time, we expect all Monero-based callers to use a keylen=32
// if a key is included. If a caller wants to use a key and keylen != 32,
// just remove this assert (and #include <assert.h>).
assert(keylen == 0 || keylen == 32);
static const uint8_t PERSONAL[BLAKE2B_PERSONALBYTES] = {'M', 'o', 'n', 'e', 'r', 'o'};
blake2b_param P;
blake2b_state S;
int ret = -1;
/* Verify parameters */
if (NULL == in && inlen > 0) {
goto fail;
}
if (NULL == out || outlen == 0 || outlen > BLAKE2B_OUTBYTES) {
goto fail;
}
if ((NULL == key && keylen > 0) || keylen > BLAKE2B_KEYBYTES) {
goto fail;
}
if (NULL != key && keylen == 0) {
goto fail;
}
/* Setup Parameter Block */
P.digest_length = (uint8_t)outlen;
P.key_length = (uint8_t)keylen;
P.fanout = 1;
P.depth = 1;
P.leaf_length = 0;
P.node_offset = 0;
P.node_depth = 0;
P.inner_length = 0;
memset(P.reserved, 0, sizeof(P.reserved));
memset(P.salt, 0, sizeof(P.salt));
memcpy(P.personal, PERSONAL, sizeof(PERSONAL));
if (blake2b_init_param(&S, &P) < 0) {
goto fail;
}
if (NULL != key) {
uint8_t block[BLAKE2B_BLOCKBYTES];
memset(block, 0, BLAKE2B_BLOCKBYTES);
memcpy(block, key, keylen);
int r = blake2b_update(&S, block, BLAKE2B_BLOCKBYTES);
/* Burn the key from stack */
clear_internal_memory(block, BLAKE2B_BLOCKBYTES);
if (r < 0) {
goto fail;
}
}
if (blake2b_update(&S, in, inlen) < 0) {
goto fail;
}
ret = blake2b_final(&S, out, outlen);
fail:
clear_internal_memory(&S, sizeof(S));
return ret;
}
/// END: blake2b.c /// END: blake2b.c
src/crypto/blake2b.h
+3
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@@ -111,6 +111,9 @@ extern "C" {
int blake2b_long(void *out, size_t outlen, const void *in, size_t inlen); int blake2b_long(void *out, size_t outlen, const void *in, size_t inlen);
/* Argon2 Team - End Code */ /* Argon2 Team - End Code */
int blake2b_monero(void *out, size_t outlen, const void *in, size_t inlen,
const void *key, size_t keylen);
#if defined(__cplusplus) #if defined(__cplusplus)
} }
#endif #endif
src/crypto/crypto.cpp
+53 -5
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@@ -42,6 +42,7 @@
#include "warnings.h" #include "warnings.h"
#include "crypto.h" #include "crypto.h"
#include "hash.h" #include "hash.h"
#include "blake2b.h"
#include "cryptonote_config.h" #include "cryptonote_config.h"
@@ -608,7 +609,7 @@ namespace crypto {
return sc_isnonzero(&c2) == 0; return sc_isnonzero(&c2) == 0;
} }
static void hash_to_ec(const public_key &key, ge_p3 &res) { static void biased_hash_to_ec(const public_key &key, ge_p3 &res) {
hash h; hash h;
ge_p2 point; ge_p2 point;
ge_p1p1 point2; ge_p1p1 point2;
@@ -618,11 +619,58 @@ namespace crypto {
ge_p1p1_to_p3(&res, &point2); ge_p1p1_to_p3(&res, &point2);
} }
void crypto_ops::unbiased_hash_to_ec(const unsigned char *preimage, const std::size_t length, ec_point &res) {
unsigned char hash[64];
if (blake2b_monero(std::addressof(hash), 64, preimage, length, NULL, 0) != 0)
throw std::runtime_error("Failed blake2b");
ge_p2 first;
ge_fromfe_frombytes_vartime(&first, hash);
ge_p1p1 first_p1p1;
ge_mul8(&first_p1p1, &first);
ge_p3 first_p3;
ge_p1p1_to_p3(&first_p3, &first_p1p1);
ge_p2 second;
ge_fromfe_frombytes_vartime(&second, hash + 32);
ge_p1p1 second_p1p1;
ge_mul8(&second_p1p1, &second);
ge_p3 second_p3;
ge_p1p1_to_p3(&second_p3, &second_p1p1);
ge_cached second_cached;
ge_p3_to_cached(&second_cached, &second_p3);
ge_p1p1 point;
ge_add(&point, &first_p3, &second_cached);
ge_p3 res_ge_p3;
ge_p1p1_to_p3(&res_ge_p3, &point);
ge_p3_tobytes(&res, &res_ge_p3);
}
static void biased_derive_key_image_generator(const public_key &pub, ec_point &ki_gen) {
ge_p3 point;
biased_hash_to_ec(pub, point);
ge_p3_tobytes(&ki_gen, &point);
}
static void unbiased_derive_key_image_generator(const public_key &pub, ec_point &ki_gen) {
unbiased_hash_to_ec(&pub, sizeof(public_key), ki_gen);
}
void crypto_ops::derive_key_image_generator(const public_key &pub, const bool biased, ec_point &ki_gen) {
if (biased)
biased_derive_key_image_generator(pub, ki_gen);
else
unbiased_derive_key_image_generator(pub, ki_gen);
}
// key image derivation used before FCMP++/Carrot
void crypto_ops::generate_key_image(const public_key &pub, const secret_key &sec, key_image &image) { void crypto_ops::generate_key_image(const public_key &pub, const secret_key &sec, key_image &image) {
ge_p3 point; ge_p3 point;
ge_p2 point2; ge_p2 point2;
assert(sc_check(&sec) == 0); assert(sc_check(&sec) == 0);
hash_to_ec(pub, point); biased_hash_to_ec(pub, point);
ge_scalarmult(&point2, &unwrap(sec), &point); ge_scalarmult(&point2, &unwrap(sec), &point);
ge_tobytes(&image, &point2); ge_tobytes(&image, &point2);
} }
@@ -683,7 +731,7 @@ POP_WARNINGS
random_scalar(k); random_scalar(k);
ge_scalarmult_base(&tmp3, &k); ge_scalarmult_base(&tmp3, &k);
ge_p3_tobytes(&buf->ab[i].a, &tmp3); ge_p3_tobytes(&buf->ab[i].a, &tmp3);
hash_to_ec(*pubs[i], tmp3); biased_hash_to_ec(*pubs[i], tmp3);
ge_scalarmult(&tmp2, &k, &tmp3); ge_scalarmult(&tmp2, &k, &tmp3);
ge_tobytes(&buf->ab[i].b, &tmp2); ge_tobytes(&buf->ab[i].b, &tmp2);
} else { } else {
@@ -695,7 +743,7 @@ POP_WARNINGS
} }
ge_double_scalarmult_base_vartime(&tmp2, &sig[i].c, &tmp3, &sig[i].r); ge_double_scalarmult_base_vartime(&tmp2, &sig[i].c, &tmp3, &sig[i].r);
ge_tobytes(&buf->ab[i].a, &tmp2); ge_tobytes(&buf->ab[i].a, &tmp2);
hash_to_ec(*pubs[i], tmp3); biased_hash_to_ec(*pubs[i], tmp3);
ge_double_scalarmult_precomp_vartime(&tmp2, &sig[i].r, &tmp3, &sig[i].c, image_pre); ge_double_scalarmult_precomp_vartime(&tmp2, &sig[i].r, &tmp3, &sig[i].c, image_pre);
ge_tobytes(&buf->ab[i].b, &tmp2); ge_tobytes(&buf->ab[i].b, &tmp2);
sc_add(&sum, &sum, &sig[i].c); sc_add(&sum, &sum, &sig[i].c);
@@ -740,7 +788,7 @@ POP_WARNINGS
} }
ge_double_scalarmult_base_vartime(&tmp2, &sig[i].c, &tmp3, &sig[i].r); ge_double_scalarmult_base_vartime(&tmp2, &sig[i].c, &tmp3, &sig[i].r);
ge_tobytes(&buf->ab[i].a, &tmp2); ge_tobytes(&buf->ab[i].a, &tmp2);
hash_to_ec(*pubs[i], tmp3); biased_hash_to_ec(*pubs[i], tmp3);
ge_double_scalarmult_precomp_vartime(&tmp2, &sig[i].r, &tmp3, &sig[i].c, image_pre); ge_double_scalarmult_precomp_vartime(&tmp2, &sig[i].r, &tmp3, &sig[i].c, image_pre);
ge_tobytes(&buf->ab[i].b, &tmp2); ge_tobytes(&buf->ab[i].b, &tmp2);
sc_add(&sum, &sum, &sig[i].c); sc_add(&sum, &sum, &sig[i].c);
src/crypto/crypto.h
+12
View File
@@ -133,6 +133,10 @@ namespace crypto {
friend void generate_tx_proof_v1(const hash &, const public_key &, const public_key &, const boost::optional<public_key> &, const public_key &, const secret_key &, signature &); friend void generate_tx_proof_v1(const hash &, const public_key &, const public_key &, const boost::optional<public_key> &, const public_key &, const secret_key &, signature &);
static bool check_tx_proof(const hash &, const public_key &, const public_key &, const boost::optional<public_key> &, const public_key &, const signature &, const int); static bool check_tx_proof(const hash &, const public_key &, const public_key &, const boost::optional<public_key> &, const public_key &, const signature &, const int);
friend bool check_tx_proof(const hash &, const public_key &, const public_key &, const boost::optional<public_key> &, const public_key &, const signature &, const int); friend bool check_tx_proof(const hash &, const public_key &, const public_key &, const boost::optional<public_key> &, const public_key &, const signature &, const int);
static void unbiased_hash_to_ec(const unsigned char *, const std::size_t, ec_point &);
friend void unbiased_hash_to_ec(const unsigned char *, const std::size_t, ec_point &);
static void derive_key_image_generator(const public_key &, const bool biased, ec_point &);
friend void derive_key_image_generator(const public_key &, const bool biased, ec_point &);
static void generate_key_image(const public_key &, const secret_key &, key_image &); static void generate_key_image(const public_key &, const secret_key &, key_image &);
friend void generate_key_image(const public_key &, const secret_key &, key_image &); friend void generate_key_image(const public_key &, const secret_key &, key_image &);
static void generate_ring_signature(const hash &, const key_image &, static void generate_ring_signature(const hash &, const key_image &,
@@ -258,6 +262,10 @@ namespace crypto {
return crypto_ops::check_tx_proof(prefix_hash, R, A, B, D, sig, version); return crypto_ops::check_tx_proof(prefix_hash, R, A, B, D, sig, version);
} }
inline void derive_key_image_generator(const public_key &pub, const bool biased, ec_point &ki_gen) {
crypto_ops::derive_key_image_generator(pub, biased, ki_gen);
}
/* To send money to a key: /* To send money to a key:
* * The sender generates an ephemeral key and includes it in transaction output. * * The sender generates an ephemeral key and includes it in transaction output.
* * To spend the money, the receiver generates a key image from it. * * To spend the money, the receiver generates a key image from it.
@@ -301,6 +309,10 @@ namespace crypto {
crypto_ops::derive_view_tag(derivation, output_index, vt); crypto_ops::derive_view_tag(derivation, output_index, vt);
} }
inline void unbiased_hash_to_ec(const unsigned char *preimage, const std::size_t length, ec_point &res) {
crypto_ops::unbiased_hash_to_ec(preimage, length, res);
}
inline std::ostream &operator <<(std::ostream &o, const crypto::public_key &v) { inline std::ostream &operator <<(std::ostream &o, const crypto::public_key &v) {
epee::to_hex::formatted(o, epee::as_byte_span(v)); return o; epee::to_hex::formatted(o, epee::as_byte_span(v)); return o;
} }
tests/crypto/crypto-tests.h
+1 -1
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@@ -45,7 +45,7 @@ bool check_scalar(const crypto::ec_scalar &scalar);
void random_scalar(crypto::ec_scalar &res); void random_scalar(crypto::ec_scalar &res);
void hash_to_scalar(const void *data, std::size_t length, crypto::ec_scalar &res); void hash_to_scalar(const void *data, std::size_t length, crypto::ec_scalar &res);
void hash_to_point(const crypto::hash &h, crypto::ec_point &res); void hash_to_point(const crypto::hash &h, crypto::ec_point &res);
void hash_to_ec(const crypto::public_key &key, crypto::ec_point &res); void biased_hash_to_ec(const crypto::public_key &key, crypto::ec_point &res);
bool check_ge_p3_identity_failure(const crypto::public_key &point); bool check_ge_p3_identity_failure(const crypto::public_key &point);
bool check_ge_p3_identity_success(const crypto::public_key &point); bool check_ge_p3_identity_success(const crypto::public_key &point);
#endif #endif
tests/crypto/crypto.cpp
+2 -2
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@@ -80,9 +80,9 @@ void hash_to_point(const crypto::hash &h, crypto::ec_point &res) {
crypto::ge_tobytes(crypto::operator &(res), &point); crypto::ge_tobytes(crypto::operator &(res), &point);
} }
void hash_to_ec(const crypto::public_key &key, crypto::ec_point &res) { void biased_hash_to_ec(const crypto::public_key &key, crypto::ec_point &res) {
crypto::ge_p3 tmp; crypto::ge_p3 tmp;
crypto::hash_to_ec(key, tmp); crypto::biased_hash_to_ec(key, tmp);
crypto::ge_p3_tobytes(crypto::operator &(res), &tmp); crypto::ge_p3_tobytes(crypto::operator &(res), &tmp);
} }
tests/crypto/main.cpp
+11 -2
View File
@@ -194,11 +194,11 @@ int main(int argc, char *argv[]) {
if (expected != actual) { if (expected != actual) {
goto error; goto error;
} }
} else if (cmd == "hash_to_ec") { } else if (cmd == "biased_hash_to_ec") {
public_key key; public_key key;
ec_point expected, actual; ec_point expected, actual;
get(input, key, expected); get(input, key, expected);
hash_to_ec(key, actual); biased_hash_to_ec(key, actual);
if (expected != actual) { if (expected != actual) {
goto error; goto error;
} }
@@ -287,6 +287,15 @@ int main(int argc, char *argv[]) {
if (expected_wei_x != actual_wei_x || expected_wei_y != actual_wei_y) { if (expected_wei_x != actual_wei_x || expected_wei_y != actual_wei_y) {
goto error; goto error;
} }
} else if (cmd == "derive_key_image_generator") {
public_key point;
bool biased;
ec_point expected_result, actual_result;
get(input, point, biased, expected_result);
crypto::derive_key_image_generator(point, biased, actual_result);
if (expected_result != actual_result) {
goto error;
}
} else { } else {
throw ios_base::failure("Unknown function: " + cmd); throw ios_base::failure("Unknown function: " + cmd);
} }
tests/crypto/tests.txt
+456 -256
View File
@@ -3675,262 +3675,262 @@ hash_to_point fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 4
hash_to_point fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 9b238c928fe8993e63543b87c83d6cf17bc0524dc149b080102671bbcd3cfb8f hash_to_point fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 9b238c928fe8993e63543b87c83d6cf17bc0524dc149b080102671bbcd3cfb8f
hash_to_point feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 123a5287f4de990b3dcf9c32456a57349fb40bcf0963912c604770a8fb9e9a41 hash_to_point feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 123a5287f4de990b3dcf9c32456a57349fb40bcf0963912c604770a8fb9e9a41
hash_to_point ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 80c90f3f23af8763b058cf5029e42f6a78a3e48dc0eeb38f31b3a6419e64fdbf hash_to_point ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 80c90f3f23af8763b058cf5029e42f6a78a3e48dc0eeb38f31b3a6419e64fdbf
hash_to_ec da66e9ba613919dec28ef367a125bb310d6d83fb9052e71034164b6dc4f392d0 52b3f38753b4e13b74624862e253072cf12f745d43fcfafbe8c217701a6e5875 biased_hash_to_ec da66e9ba613919dec28ef367a125bb310d6d83fb9052e71034164b6dc4f392d0 52b3f38753b4e13b74624862e253072cf12f745d43fcfafbe8c217701a6e5875
hash_to_ec a7fbdeeccb597c2d5fdaf2ea2e10cbfcd26b5740903e7f6d46bcbf9a90384fc6 f055ba2d0d9828ce2e203d9896bfda494d7830e7e3a27fa27d5eaa825a79a19c biased_hash_to_ec a7fbdeeccb597c2d5fdaf2ea2e10cbfcd26b5740903e7f6d46bcbf9a90384fc6 f055ba2d0d9828ce2e203d9896bfda494d7830e7e3a27fa27d5eaa825a79a19c
hash_to_ec ed6e6579368caba2cc4851672972e949c0ee586fee4d6d6a9476d4a908f64070 da3ceda9a2ef6316bf9272566e6dffd785ac71f57855c0202f422bbb86af4ec0 biased_hash_to_ec ed6e6579368caba2cc4851672972e949c0ee586fee4d6d6a9476d4a908f64070 da3ceda9a2ef6316bf9272566e6dffd785ac71f57855c0202f422bbb86af4ec0
hash_to_ec 9ae78e5620f1c4e6b29d03da006869465b3b16dae87ab0a51f4e1b74bc8aa48b 72d8720da66f797f55fbb7fa538af0b4a4f5930c8289c991472c37dc5ec16853 biased_hash_to_ec 9ae78e5620f1c4e6b29d03da006869465b3b16dae87ab0a51f4e1b74bc8aa48b 72d8720da66f797f55fbb7fa538af0b4a4f5930c8289c991472c37dc5ec16853
hash_to_ec ab49eb4834d24db7f479753217b763f70604ecb79ed37e6c788528720f424e5b 45914ba926a1a22c8146459c7f050a51ef5f560f5b74bae436b93a379866e6b8 biased_hash_to_ec ab49eb4834d24db7f479753217b763f70604ecb79ed37e6c788528720f424e5b 45914ba926a1a22c8146459c7f050a51ef5f560f5b74bae436b93a379866e6b8
hash_to_ec 5b79158ef2341180b8327b976efddbf364620b7e88d2e0707fa56f3b902c34b3 eac991dcbba39cb3bd166906ab48e2c3c3f4cd289a05e1c188486d348ede7c2e biased_hash_to_ec 5b79158ef2341180b8327b976efddbf364620b7e88d2e0707fa56f3b902c34b3 eac991dcbba39cb3bd166906ab48e2c3c3f4cd289a05e1c188486d348ede7c2e
hash_to_ec f21daa7896c81d3a7a2e9df721035d3c3902fe546c9d739d0c334ed894fb1d21 a6bedc5ffcc867d0c13a88a03360c8c83a9e4ddf339851bd3768c53a124378ec biased_hash_to_ec f21daa7896c81d3a7a2e9df721035d3c3902fe546c9d739d0c334ed894fb1d21 a6bedc5ffcc867d0c13a88a03360c8c83a9e4ddf339851bd3768c53a124378ec
hash_to_ec 3dae79aaca1abe6aecea7b0d38646c6b013d40053c7cdde2bed094497d925d2b 1a442546a35860a4ab697a36b158ded8e001bbfe20aef1c63e2840e87485c613 biased_hash_to_ec 3dae79aaca1abe6aecea7b0d38646c6b013d40053c7cdde2bed094497d925d2b 1a442546a35860a4ab697a36b158ded8e001bbfe20aef1c63e2840e87485c613
hash_to_ec 3d219463a55c24ac6f55706a6e46ade3fcd1edc87bade7b967129372036aca63 b252922ab64e32968735b8ade861445aa8dc02b763bd249bff121d10829f7c52 biased_hash_to_ec 3d219463a55c24ac6f55706a6e46ade3fcd1edc87bade7b967129372036aca63 b252922ab64e32968735b8ade861445aa8dc02b763bd249bff121d10829f7c52
hash_to_ec bc5db69aced2b3197398eaf7cf60fd782379874b5ca27cb21bd23692c3c885cc ae072a43f78a0f29dc9822ae5e70865bbd151236a6d7fe4ae3e8f8961e19b0e5 biased_hash_to_ec bc5db69aced2b3197398eaf7cf60fd782379874b5ca27cb21bd23692c3c885cc ae072a43f78a0f29dc9822ae5e70865bbd151236a6d7fe4ae3e8f8961e19b0e5
hash_to_ec 98a6ed760b225976f8ada0579540e35da643089656695b5d0b8c7265a37e2342 6a99dbfa8ead6228910498cc3ff3fb18cb8627c5735e4b8657da846c16d2dcad biased_hash_to_ec 98a6ed760b225976f8ada0579540e35da643089656695b5d0b8c7265a37e2342 6a99dbfa8ead6228910498cc3ff3fb18cb8627c5735e4b8657da846c16d2dcad
hash_to_ec e9cdc9fd9425a4a2389a5d60f76a2d839f0afbf66330f079a88fe23d73eae930 8aa518d091928668f3ca40e71e14b2698f6cae097b8120d7f6ae9afba8fd3d60 biased_hash_to_ec e9cdc9fd9425a4a2389a5d60f76a2d839f0afbf66330f079a88fe23d73eae930 8aa518d091928668f3ca40e71e14b2698f6cae097b8120d7f6ae9afba8fd3d60
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generate_key_image e46b60ebfe610b8ba761032018471e5719bb77ea1cd945475c4a4abe7224bfd0 981d477fb18897fa1f784c89721a9d600bf283f06b89cb018a077f41dcefef0f a637203ec41eab772532d30420eac80612fce8e44f1758bc7e2cb1bdda815887 generate_key_image e46b60ebfe610b8ba761032018471e5719bb77ea1cd945475c4a4abe7224bfd0 981d477fb18897fa1f784c89721a9d600bf283f06b89cb018a077f41dcefef0f a637203ec41eab772532d30420eac80612fce8e44f1758bc7e2cb1bdda815887
generate_key_image 8661153f5f856b46f83e9e225777656cd95584ab16396fa03749ec64e957283b 156d7f2e20899371404b87d612c3587ffe9fba294bafbbc99bb1695e3275230e 03ec63d7f1b722f551840b2725c76620fa457c805cbbf2ee941a6bf4cfb6d06c generate_key_image 8661153f5f856b46f83e9e225777656cd95584ab16396fa03749ec64e957283b 156d7f2e20899371404b87d612c3587ffe9fba294bafbbc99bb1695e3275230e 03ec63d7f1b722f551840b2725c76620fa457c805cbbf2ee941a6bf4cfb6d06c
generate_key_image 30216ae687676a89d84bf2a333feeceb101707193a9ee7bcbb47d54268e6cc83 1b425ba4b8ead10f7f7c0c923ec2e6847e77aa9c7e9a880e89980178cb02fa0c 4f675ce3a8dfd806b7c4287c19d741f51141d3fce3e3a3d1be8f3f449c22dd19 generate_key_image 30216ae687676a89d84bf2a333feeceb101707193a9ee7bcbb47d54268e6cc83 1b425ba4b8ead10f7f7c0c923ec2e6847e77aa9c7e9a880e89980178cb02fa0c 4f675ce3a8dfd806b7c4287c19d741f51141d3fce3e3a3d1be8f3f449c22dd19
@@ -5743,3 +5743,203 @@ point_to_wei_x_y b40487632d252fb54e86586720f1ccdc581f2a1f71571c1c7e675f6922f3490
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point_to_wei_x_y c4092a49ee9a033883c2f2af9588b25bb06faed117dd84f7460adbd8a91734d2 11dd5a8aa1f970acc1c1709ed2d6a8a0718ea455fa243455ab25d3d30304343e b17199f31e269cc490aea95ab3b8be455a6ad45232402e4909fb3a9c17c69d20 point_to_wei_x_y c4092a49ee9a033883c2f2af9588b25bb06faed117dd84f7460adbd8a91734d2 11dd5a8aa1f970acc1c1709ed2d6a8a0718ea455fa243455ab25d3d30304343e b17199f31e269cc490aea95ab3b8be455a6ad45232402e4909fb3a9c17c69d20
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