1use crate::{Array, Signer as CommonwareSigner, Specification, Verifier as CommonwareVerifier};
2use bytes::{Buf, BufMut};
3use commonware_codec::{Error as CodecError, FixedSize, Read, ReadExt, Write};
4use commonware_utils::{hex, union_unique};
5use p256::{
6 ecdsa::{
7 signature::{Signer, Verifier},
8 SigningKey, VerifyingKey,
9 },
10 elliptic_curve::scalar::IsHigh,
11};
12use rand::{CryptoRng, Rng};
13use std::{
14 borrow::Cow,
15 fmt::{Debug, Display},
16 hash::{Hash, Hasher},
17 ops::Deref,
18};
19
20const CURVE_NAME: &str = "secp256r1";
21const PRIVATE_KEY_LENGTH: usize = 32;
22const PUBLIC_KEY_LENGTH: usize = 33; const SIGNATURE_LENGTH: usize = 64; #[derive(Clone)]
27pub struct Secp256r1 {
28 signer: SigningKey,
29 verifier: VerifyingKey,
30}
31
32impl Specification for Secp256r1 {
33 type PublicKey = PublicKey;
34 type Signature = Signature;
35}
36
37impl CommonwareVerifier for Secp256r1 {
38 fn verify(
39 namespace: Option<&[u8]>,
40 message: &[u8],
41 public_key: &PublicKey,
42 signature: &Signature,
43 ) -> bool {
44 let payload = match namespace {
45 Some(namespace) => Cow::Owned(union_unique(namespace, message)),
46 None => Cow::Borrowed(message),
47 };
48 public_key
49 .key
50 .verify(&payload, &signature.signature)
51 .is_ok()
52 }
53}
54
55impl CommonwareSigner for Secp256r1 {
56 type PrivateKey = PrivateKey;
57
58 fn new<R: CryptoRng + Rng>(r: &mut R) -> Self {
59 let signer = SigningKey::random(r);
60 let verifier = signer.verifying_key().to_owned();
61 Self { signer, verifier }
62 }
63
64 fn from(private_key: PrivateKey) -> Option<Self> {
65 let signer = private_key.key;
66 let verifier = signer.verifying_key().to_owned();
67 Some(Self { signer, verifier })
68 }
69
70 fn private_key(&self) -> PrivateKey {
71 PrivateKey::from(self.signer.clone())
72 }
73
74 fn public_key(&self) -> PublicKey {
75 PublicKey::from(self.verifier)
76 }
77
78 fn sign(&mut self, namespace: Option<&[u8]>, message: &[u8]) -> Signature {
79 let signature: p256::ecdsa::Signature = match namespace {
80 Some(namespace) => self.signer.sign(&union_unique(namespace, message)),
81 None => self.signer.sign(message),
82 };
83 let signature = match signature.normalize_s() {
84 Some(normalized) => normalized,
85 None => signature,
86 };
87 Signature::from(signature)
88 }
89}
90
91#[derive(Clone, Eq, PartialEq)]
93pub struct PrivateKey {
94 raw: [u8; PRIVATE_KEY_LENGTH],
95 key: SigningKey,
96}
97
98impl Write for PrivateKey {
99 fn write(&self, buf: &mut impl BufMut) {
100 self.raw.write(buf);
101 }
102}
103
104impl Read for PrivateKey {
105 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
106 let raw = <[u8; Self::SIZE]>::read(buf)?;
107 let key =
108 SigningKey::from_slice(&raw).map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
109 Ok(Self { raw, key })
110 }
111}
112
113impl FixedSize for PrivateKey {
114 const SIZE: usize = PRIVATE_KEY_LENGTH;
115}
116
117impl Array for PrivateKey {}
118
119impl Hash for PrivateKey {
120 fn hash<H: Hasher>(&self, state: &mut H) {
121 self.raw.hash(state);
122 }
123}
124
125impl Ord for PrivateKey {
126 fn cmp(&self, other: &Self) -> std::cmp::Ordering {
127 self.raw.cmp(&other.raw)
128 }
129}
130
131impl PartialOrd for PrivateKey {
132 fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
133 Some(self.cmp(other))
134 }
135}
136
137impl AsRef<[u8]> for PrivateKey {
138 fn as_ref(&self) -> &[u8] {
139 &self.raw
140 }
141}
142
143impl Deref for PrivateKey {
144 type Target = [u8];
145 fn deref(&self) -> &[u8] {
146 &self.raw
147 }
148}
149
150impl From<SigningKey> for PrivateKey {
151 fn from(signer: SigningKey) -> Self {
152 let raw = signer.to_bytes().into();
153 Self { raw, key: signer }
154 }
155}
156
157impl Debug for PrivateKey {
158 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
159 write!(f, "{}", hex(&self.raw))
160 }
161}
162
163impl Display for PrivateKey {
164 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
165 write!(f, "{}", hex(&self.raw))
166 }
167}
168
169#[derive(Clone, Eq, PartialEq, Ord, PartialOrd)]
171pub struct PublicKey {
172 raw: [u8; PUBLIC_KEY_LENGTH],
173 key: VerifyingKey,
174}
175
176impl Write for PublicKey {
177 fn write(&self, buf: &mut impl BufMut) {
178 self.raw.write(buf);
179 }
180}
181
182impl Read for PublicKey {
183 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
184 let raw = <[u8; PUBLIC_KEY_LENGTH]>::read(buf)?;
185 let key = VerifyingKey::from_sec1_bytes(&raw)
186 .map_err(|_| CodecError::Invalid(CURVE_NAME, "Invalid PublicKey"))?;
187 Ok(Self { raw, key })
188 }
189}
190
191impl FixedSize for PublicKey {
192 const SIZE: usize = PUBLIC_KEY_LENGTH;
193}
194
195impl Array for PublicKey {}
196
197impl Hash for PublicKey {
198 fn hash<H: Hasher>(&self, state: &mut H) {
199 self.raw.hash(state);
200 }
201}
202
203impl AsRef<[u8]> for PublicKey {
204 fn as_ref(&self) -> &[u8] {
205 &self.raw
206 }
207}
208
209impl Deref for PublicKey {
210 type Target = [u8];
211 fn deref(&self) -> &[u8] {
212 &self.raw
213 }
214}
215
216impl From<VerifyingKey> for PublicKey {
217 fn from(verifier: VerifyingKey) -> Self {
218 let encoded = verifier.to_encoded_point(true);
219 let raw: [u8; PUBLIC_KEY_LENGTH] = encoded.as_bytes().try_into().unwrap();
220 Self { raw, key: verifier }
221 }
222}
223
224impl Debug for PublicKey {
225 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
226 write!(f, "{}", hex(&self.raw))
227 }
228}
229
230impl Display for PublicKey {
231 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
232 write!(f, "{}", hex(&self.raw))
233 }
234}
235
236#[derive(Clone, Eq, PartialEq)]
238pub struct Signature {
239 raw: [u8; SIGNATURE_LENGTH],
240 signature: p256::ecdsa::Signature,
241}
242
243impl Write for Signature {
244 fn write(&self, buf: &mut impl BufMut) {
245 self.raw.write(buf);
246 }
247}
248
249impl Read for Signature {
250 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
251 let raw = <[u8; Self::SIZE]>::read(buf)?;
252 let signature = p256::ecdsa::Signature::from_slice(&raw)
253 .map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
254 if signature.s().is_high().into() {
255 return Err(CodecError::Invalid(CURVE_NAME, "Signature S is high"));
257 }
258 Ok(Self { raw, signature })
259 }
260}
261
262impl FixedSize for Signature {
263 const SIZE: usize = SIGNATURE_LENGTH;
264}
265
266impl Array for Signature {}
267
268impl Hash for Signature {
269 fn hash<H: Hasher>(&self, state: &mut H) {
270 self.raw.hash(state);
271 }
272}
273
274impl Ord for Signature {
275 fn cmp(&self, other: &Self) -> std::cmp::Ordering {
276 self.raw.cmp(&other.raw)
277 }
278}
279
280impl PartialOrd for Signature {
281 fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
282 Some(self.cmp(other))
283 }
284}
285
286impl AsRef<[u8]> for Signature {
287 fn as_ref(&self) -> &[u8] {
288 &self.raw
289 }
290}
291
292impl Deref for Signature {
293 type Target = [u8];
294 fn deref(&self) -> &[u8] {
295 &self.raw
296 }
297}
298
299impl From<p256::ecdsa::Signature> for Signature {
300 fn from(signature: p256::ecdsa::Signature) -> Self {
301 let raw = signature.to_bytes().into();
302 Self { raw, signature }
303 }
304}
305
306impl Debug for Signature {
307 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
308 write!(f, "{}", hex(&self.raw))
309 }
310}
311
312impl Display for Signature {
313 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
314 write!(f, "{}", hex(&self.raw))
315 }
316}
317
318#[cfg(test)]
321mod tests {
322 use super::*;
323 use bytes::Bytes;
324 use commonware_codec::{DecodeExt, Encode};
325
326 fn create_private_key() -> PrivateKey {
327 const HEX: &str = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
328 PrivateKey::decode(commonware_utils::from_hex_formatted(HEX).unwrap().as_ref()).unwrap()
329 }
330
331 fn parse_vector_keypair(private_key: &str, qx: &str, qy: &str) -> (PrivateKey, PublicKey) {
332 let public_key = parse_public_key_as_compressed(qx, qy);
333 (
334 PrivateKey::decode(
335 commonware_utils::from_hex_formatted(private_key)
336 .unwrap()
337 .as_ref(),
338 )
339 .unwrap(),
340 public_key,
341 )
342 }
343
344 fn parse_vector_sig_verification(
345 qx: &str,
346 qy: &str,
347 r: &str,
348 s: &str,
349 m: &str,
350 ) -> (PublicKey, Vec<u8>, Vec<u8>) {
351 let public_key = parse_public_key_as_compressed(qx, qy);
352 let signature = parse_signature(r, s);
353 let message = commonware_utils::from_hex_formatted(m).unwrap();
354 (public_key, signature, message)
355 }
356
357 fn parse_signature(r: &str, s: &str) -> Vec<u8> {
358 let vec_r = commonware_utils::from_hex_formatted(r).unwrap();
359 let vec_s = commonware_utils::from_hex_formatted(s).unwrap();
360 let f1 = p256::FieldBytes::from_slice(&vec_r);
361 let f2 = p256::FieldBytes::from_slice(&vec_s);
362 let s = p256::ecdsa::Signature::from_scalars(*f1, *f2).unwrap();
363 s.to_vec()
364 }
365
366 fn parse_public_key_as_compressed(qx: &str, qy: &str) -> PublicKey {
367 PublicKey::decode(parse_public_key_as_compressed_vector(qx, qy).as_ref()).unwrap()
368 }
369
370 fn parse_public_key_as_compressed_vector(qx: &str, qy: &str) -> Vec<u8> {
371 let qx = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qx)).unwrap();
372 let qy = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qy)).unwrap();
373 let mut compressed = Vec::with_capacity(qx.len() + 1);
374 if qy.last().unwrap() % 2 == 0 {
375 compressed.push(0x02);
376 } else {
377 compressed.push(0x03);
378 }
379 compressed.extend_from_slice(&qx);
380 compressed
381 }
382
383 fn parse_public_key_as_uncompressed_vector(qx: &str, qy: &str) -> Vec<u8> {
384 let qx = commonware_utils::from_hex_formatted(qx).unwrap();
385 let qy = commonware_utils::from_hex_formatted(qy).unwrap();
386 let mut uncompressed_public_key = Vec::with_capacity(65);
387 uncompressed_public_key.push(0x04);
388 uncompressed_public_key.extend_from_slice(&qx);
389 uncompressed_public_key.extend_from_slice(&qy);
390 uncompressed_public_key
391 }
392
393 fn padding_odd_length_hex(value: &str) -> String {
394 if value.len() % 2 != 0 {
395 return format!("0{}", value);
396 }
397 value.to_string()
398 }
399
400 #[test]
401 fn test_codec_private_key() {
402 let original: PrivateKey = create_private_key();
403 let encoded = original.encode();
404 assert_eq!(encoded.len(), PRIVATE_KEY_LENGTH);
405
406 let decoded = PrivateKey::decode(encoded).unwrap();
407 assert_eq!(original, decoded);
408 }
409
410 #[test]
411 fn test_codec_public_key() {
412 let private_key = create_private_key();
413 let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
414 let original: PublicKey = signer.public_key();
415
416 let encoded = original.encode();
417 assert_eq!(encoded.len(), PUBLIC_KEY_LENGTH);
418
419 let decoded = PublicKey::decode(encoded).unwrap();
420 assert_eq!(original, decoded);
421 }
422
423 #[test]
424 fn test_codec_signature() {
425 let private_key = create_private_key();
426 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
427 let original = signer.sign(None, "Hello World".as_bytes());
428
429 let encoded = original.encode();
430 assert_eq!(encoded.len(), SIGNATURE_LENGTH);
431
432 let decoded = Signature::decode(encoded).unwrap();
433 assert_eq!(original, decoded);
434 }
435
436 #[test]
437 fn test_codec_signature_invalid() {
438 let (_, sig, ..) = vector_sig_verification_5();
439 let result = Signature::decode(Bytes::from(sig));
440 assert!(result.is_err());
441 }
442
443 #[test]
444 fn test_scheme_sign() {
445 let private_key: PrivateKey = PrivateKey::decode(
446 commonware_utils::from_hex_formatted(
447 "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464",
448 )
449 .unwrap()
450 .as_ref(),
451 )
452 .unwrap();
453 let message = commonware_utils::from_hex_formatted(
454 "5905238877c77421f73e43ee3da6f2d9e2ccad5fc942dcec0cbd25482935faaf416983fe165b1a045e
455 e2bcd2e6dca3bdf46c4310a7461f9a37960ca672d3feb5473e253605fb1ddfd28065b53cb5858a8ad28175bf
456 9bd386a5e471ea7a65c17cc934a9d791e91491eb3754d03799790fe2d308d16146d5c9b0d0debd97d79ce8",
457 )
458 .unwrap();
459 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
460 let signature = signer.sign(None, &message);
461 assert_eq!(SIGNATURE_LENGTH, signature.len());
462 assert!(Secp256r1::verify(
463 None,
464 &message,
465 &signer.public_key(),
466 &signature
467 ));
468 }
469
470 #[test]
471 fn test_scheme_private_key() {
472 let private_key_hex = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
473 let private_key: PrivateKey = PrivateKey::decode(
474 commonware_utils::from_hex_formatted(private_key_hex)
475 .unwrap()
476 .as_ref(),
477 )
478 .unwrap();
479 let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
480 let exported_private_key = signer.private_key();
481 assert_eq!(
482 private_key_hex,
483 commonware_utils::hex(&exported_private_key).as_str(),
484 );
485 }
486
487 #[test]
489 fn test_rfc6979() {
490 let private_key: PrivateKey = PrivateKey::decode(
491 commonware_utils::from_hex_formatted(
492 "c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721",
493 )
494 .unwrap()
495 .as_ref(),
496 )
497 .unwrap();
498
499 let (message, exp_sig) = (
500 b"sample",
501 p256::ecdsa::Signature::from_slice(
502 &commonware_utils::from_hex_formatted(
503 "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716
504 f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8",
505 )
506 .unwrap(),
507 )
508 .unwrap(),
509 );
510 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
511 let signature = signer.sign(None, message);
512 assert_eq!(signature.to_vec(), exp_sig.normalize_s().unwrap().to_vec());
513
514 let (message, exp_sig) = (
515 b"test",
516 p256::ecdsa::Signature::from_slice(
517 &commonware_utils::from_hex_formatted(
518 "f1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367
519 019f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083",
520 )
521 .unwrap(),
522 )
523 .unwrap(),
524 );
525
526 let signature = signer.sign(None, message);
527 assert_eq!(signature.to_vec(), exp_sig.to_vec());
528 }
529
530 #[test]
531 fn test_scheme_validate_public_key_too_long() {
532 let qx_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
533 let qy_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
534
535 let uncompressed_public_key = parse_public_key_as_uncompressed_vector(qx_hex, qy_hex);
537 let public_key =
538 <Secp256r1 as Specification>::PublicKey::decode(uncompressed_public_key.as_ref());
539 assert!(matches!(public_key, Err(CodecError::Invalid(_, _))));
540
541 let mut compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
543 compressed_public_key.push(0u8);
544 let public_key =
545 <Secp256r1 as Specification>::PublicKey::decode(compressed_public_key.as_ref());
546 assert!(matches!(public_key, Err(CodecError::ExtraData(1))));
547
548 let compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
550 let public_key =
551 <Secp256r1 as Specification>::PublicKey::decode(compressed_public_key.as_ref());
552 assert!(public_key.is_ok());
553 }
554
555 #[test]
556 fn test_scheme_verify_signature_r0() {
557 let private_key: PrivateKey = PrivateKey::decode(
559 commonware_utils::from_hex_formatted(
560 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
561 )
562 .unwrap()
563 .as_ref(),
564 )
565 .unwrap();
566 let message = b"sample";
567 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
568 let signature = signer.sign(None, message);
569 let (_, s) = signature.split_at(32);
570 let mut signature: Vec<u8> = vec![0x00; 32];
571 signature.extend_from_slice(s);
572
573 assert!(Signature::decode(signature.as_ref()).is_err());
575 }
576
577 #[test]
578 fn test_scheme_verify_signature_s0() {
579 let private_key: PrivateKey = PrivateKey::decode(
581 commonware_utils::from_hex_formatted(
582 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
583 )
584 .unwrap()
585 .as_ref(),
586 )
587 .unwrap();
588 let message = b"sample";
589 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
590 let signature = signer.sign(None, message);
591 let (r, _) = signature.split_at(32);
592 let s: Vec<u8> = vec![0x00; 32];
593 let mut signature = r.to_vec();
594 signature.extend(s);
595
596 assert!(Signature::decode(signature.as_ref()).is_err());
598 }
599
600 #[test]
601 fn test_keypairs() {
602 let cases = [
603 vector_keypair_1(),
604 vector_keypair_2(),
605 vector_keypair_3(),
606 vector_keypair_4(),
607 vector_keypair_5(),
608 vector_keypair_6(),
609 vector_keypair_7(),
610 vector_keypair_8(),
611 vector_keypair_9(),
612 vector_keypair_10(),
613 ];
614
615 for (index, test) in cases.into_iter().enumerate() {
616 let (private_key, exp_public_key) = test;
617 let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
618 assert_eq!(
619 exp_public_key,
620 signer.public_key(),
621 "vector_keypair_{}",
622 index + 1
623 );
624 assert!(signer.public_key().len() == PUBLIC_KEY_LENGTH);
625 }
626 }
627
628 #[test]
629 fn test_public_key_validation() {
630 let cases = [
635 (1, vector_public_key_validation_1()),
636 (3, vector_public_key_validation_3()),
637 (4, vector_public_key_validation_4()),
638 (5, vector_public_key_validation_5()),
639 (6, vector_public_key_validation_6()),
640 (7, vector_public_key_validation_7()),
641 (8, vector_public_key_validation_8()),
642 (9, vector_public_key_validation_9()),
643 (10, vector_public_key_validation_10()),
644 (12, vector_public_key_validation_12()),
645 ];
646
647 for (n, test) in cases.iter() {
648 let (public_key, exp_valid) = test;
649 let res = <Secp256r1 as Specification>::PublicKey::decode(public_key.as_ref());
650 assert_eq!(
651 *exp_valid,
652 res.is_ok(),
653 "vector_public_key_validation_{}",
654 n
655 );
656 }
657 }
658
659 #[test]
660 fn test_signature_verification() {
661 let cases = [
662 vector_sig_verification_1(),
663 vector_sig_verification_2(),
664 vector_sig_verification_3(),
665 vector_sig_verification_4(),
666 vector_sig_verification_5(),
667 vector_sig_verification_6(),
668 vector_sig_verification_7(),
669 vector_sig_verification_8(),
670 vector_sig_verification_9(),
671 vector_sig_verification_10(),
672 vector_sig_verification_11(),
673 vector_sig_verification_12(),
674 vector_sig_verification_13(),
675 vector_sig_verification_14(),
676 vector_sig_verification_15(),
677 ];
678
679 for (index, test) in cases.into_iter().enumerate() {
680 let (public_key, sig, message, expected) = test;
681 let expected = if expected {
682 let mut ecdsa_signature = p256::ecdsa::Signature::from_slice(&sig).unwrap();
683 if ecdsa_signature.s().is_high().into() {
684 assert!(Signature::decode(sig.as_ref()).is_err());
686 assert!(Signature::decode(Bytes::from(sig)).is_err());
687
688 if let Some(normalized_sig) = ecdsa_signature.normalize_s() {
690 ecdsa_signature = normalized_sig;
691 }
692 }
693 let signature = Signature::from(ecdsa_signature);
694 Secp256r1::verify(None, &message, &public_key, &signature)
695 } else {
696 let tf_res = Signature::decode(sig.as_ref());
697 let dc_res = Signature::decode(Bytes::from(sig));
698 if tf_res.is_err() && dc_res.is_err() {
699 true
701 } else {
702 let f1 = !Secp256r1::verify(None, &message, &public_key, &tf_res.unwrap());
704 let f2 = !Secp256r1::verify(None, &message, &public_key, &dc_res.unwrap());
705 f1 && f2
706 }
707 };
708 assert!(expected, "vector_signature_verification_{}", index + 1);
709 }
710 }
711
712 fn vector_keypair_1() -> (PrivateKey, PublicKey) {
713 parse_vector_keypair(
714 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
715 "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f",
716 "9681b517b1cda17d0d83d335d9c4a8a9a9b0b1b3c7106d8f3c72bc5093dc275f",
717 )
718 }
719
720 fn vector_keypair_2() -> (PrivateKey, PublicKey) {
721 parse_vector_keypair(
722 "710735c8388f48c684a97bd66751cc5f5a122d6b9a96a2dbe73662f78217446d",
723 "f6836a8add91cb182d8d258dda6680690eb724a66dc3bb60d2322565c39e4ab9",
724 "1f837aa32864870cb8e8d0ac2ff31f824e7beddc4bb7ad72c173ad974b289dc2",
725 )
726 }
727
728 fn vector_keypair_3() -> (PrivateKey, PublicKey) {
729 parse_vector_keypair(
730 "78d5d8b7b3e2c16b3e37e7e63becd8ceff61e2ce618757f514620ada8a11f6e4",
731 "76711126cbb2af4f6a5fe5665dad4c88d27b6cb018879e03e54f779f203a854e",
732 "a26df39960ab5248fd3620fd018398e788bd89a3cea509b352452b69811e6856",
733 )
734 }
735
736 fn vector_keypair_4() -> (PrivateKey, PublicKey) {
737 parse_vector_keypair(
738 "2a61a0703860585fe17420c244e1de5a6ac8c25146b208ef88ad51ae34c8cb8c",
739 "e1aa7196ceeac088aaddeeba037abb18f67e1b55c0a5c4e71ec70ad666fcddc8",
740 "d7d35bdce6dedc5de98a7ecb27a9cd066a08f586a733b59f5a2cdb54f971d5c8",
741 )
742 }
743
744 fn vector_keypair_5() -> (PrivateKey, PublicKey) {
745 parse_vector_keypair(
746 "01b965b45ff386f28c121c077f1d7b2710acc6b0cb58d8662d549391dcf5a883",
747 "1f038c5422e88eec9e88b815e8f6b3e50852333fc423134348fc7d79ef8e8a10",
748 "43a047cb20e94b4ffb361ef68952b004c0700b2962e0c0635a70269bc789b849",
749 )
750 }
751
752 fn vector_keypair_6() -> (PrivateKey, PublicKey) {
753 parse_vector_keypair(
754 "fac92c13d374c53a085376fe4101618e1e181b5a63816a84a0648f3bdc24e519",
755 "7258f2ab96fc84ef6ccb33e308cd392d8b568ea635730ceb4ebd72fa870583b9",
756 "489807ca55bdc29ca5c8fe69b94f227b0345cccdbe89975e75d385cc2f6bb1e2",
757 )
758 }
759
760 fn vector_keypair_7() -> (PrivateKey, PublicKey) {
761 parse_vector_keypair(
762 "f257a192dde44227b3568008ff73bcf599a5c45b32ab523b5b21ca582fef5a0a",
763 "d2e01411817b5512b79bbbe14d606040a4c90deb09e827d25b9f2fc068997872",
764 "503f138f8bab1df2c4507ff663a1fdf7f710e7adb8e7841eaa902703e314e793",
765 )
766 }
767
768 fn vector_keypair_8() -> (PrivateKey, PublicKey) {
769 parse_vector_keypair(
770 "add67e57c42a3d28708f0235eb86885a4ea68e0d8cfd76eb46134c596522abfd",
771 "55bed2d9c029b7f230bde934c7124ed52b1330856f13cbac65a746f9175f85d7",
772 "32805e311d583b4e007c40668185e85323948e21912b6b0d2cda8557389ae7b0",
773 )
774 }
775
776 fn vector_keypair_9() -> (PrivateKey, PublicKey) {
777 parse_vector_keypair(
778 "4494860fd2c805c5c0d277e58f802cff6d731f76314eb1554142a637a9bc5538",
779 "5190277a0c14d8a3d289292f8a544ce6ea9183200e51aec08440e0c1a463a4e4",
780 "ecd98514821bd5aaf3419ab79b71780569470e4fed3da3c1353b28fe137f36eb",
781 )
782 }
783
784 fn vector_keypair_10() -> (PrivateKey, PublicKey) {
785 parse_vector_keypair(
786 "d40b07b1ea7b86d4709ef9dc634c61229feb71abd63dc7fc85ef46711a87b210",
787 "fbcea7c2827e0e8085d7707b23a3728823ea6f4878b24747fb4fd2842d406c73",
788 "2393c85f1f710c5afc115a39ba7e18abe03f19c9d4bb3d47d19468b818efa535",
789 )
790 }
791
792 fn vector_public_key_validation_1() -> (Vec<u8>, bool) {
793 (
794 parse_public_key_as_compressed_vector(
795 "e0f7449c5588f24492c338f2bc8f7865f755b958d48edb0f2d0056e50c3fd5b7",
796 "86d7e9255d0f4b6f44fa2cd6f8ba3c0aa828321d6d8cc430ca6284ce1d5b43a0",
797 ),
798 true,
799 )
800 }
801
802 fn vector_public_key_validation_3() -> (Vec<u8>, bool) {
803 (
804 parse_public_key_as_compressed_vector(
805 "17875397ae87369365656d490e8ce956911bd97607f2aff41b56f6f3a61989826",
806 "980a3c4f61b9692633fbba5ef04c9cb546dd05cdec9fa8428b8849670e2fba92",
807 ),
808 false, )
810 }
811
812 fn vector_public_key_validation_4() -> (Vec<u8>, bool) {
813 (
814 parse_public_key_as_compressed_vector(
815 "f2d1c0dc0852c3d8a2a2500a23a44813ccce1ac4e58444175b440469ffc12273",
816 "32bfe992831b305d8c37b9672df5d29fcb5c29b4a40534683e3ace23d24647dd",
817 ),
818 false, )
820 }
821
822 fn vector_public_key_validation_5() -> (Vec<u8>, bool) {
823 (
824 parse_public_key_as_compressed_vector(
825 "10b0ca230fff7c04768f4b3d5c75fa9f6c539bea644dffbec5dc796a213061b58",
826 "f5edf37c11052b75f771b7f9fa050e353e464221fec916684ed45b6fead38205",
827 ),
828 false, )
830 }
831
832 fn vector_public_key_validation_6() -> (Vec<u8>, bool) {
833 (
834 parse_public_key_as_compressed_vector(
835 "2c1052f25360a15062d204a056274e93cbe8fc4c4e9b9561134ad5c15ce525da",
836 "ced9783713a8a2a09eff366987639c625753295d9a85d0f5325e32dedbcada0b",
837 ),
838 true,
839 )
840 }
841
842 fn vector_public_key_validation_7() -> (Vec<u8>, bool) {
843 (
844 parse_public_key_as_compressed_vector(
845 "a40d077a87dae157d93dcccf3fe3aca9c6479a75aa2669509d2ef05c7de6782f",
846 "503d86b87d743ba20804fd7e7884aa017414a7b5b5963e0d46e3a9611419ddf3",
847 ),
848 false, )
850 }
851
852 fn vector_public_key_validation_8() -> (Vec<u8>, bool) {
853 (
854 parse_public_key_as_compressed_vector(
855 "2633d398a3807b1895548adbb0ea2495ef4b930f91054891030817df87d4ac0a",
856 "d6b2f738e3873cc8364a2d364038ce7d0798bb092e3dd77cbdae7c263ba618d2",
857 ),
858 true,
859 )
860 }
861
862 fn vector_public_key_validation_9() -> (Vec<u8>, bool) {
863 (
864 parse_public_key_as_compressed_vector(
865 "14bf57f76c260b51ec6bbc72dbd49f02a56eaed070b774dc4bad75a54653c3d56",
866 "7a231a23bf8b3aa31d9600d888a0678677a30e573decd3dc56b33f365cc11236",
867 ),
868 false, )
870 }
871
872 fn vector_public_key_validation_10() -> (Vec<u8>, bool) {
873 (
874 parse_public_key_as_compressed_vector(
875 "2fa74931ae816b426f484180e517f5050c92decfc8daf756cd91f54d51b302f1",
876 "5b994346137988c58c14ae2152ac2f6ad96d97decb33099bd8a0210114cd1141",
877 ),
878 true,
879 )
880 }
881
882 fn vector_public_key_validation_12() -> (Vec<u8>, bool) {
883 (
884 parse_public_key_as_compressed_vector(
885 "7a81a7e0b015252928d8b36e4ca37e92fdc328eb25c774b4f872693028c4be38",
886 "08862f7335147261e7b1c3d055f9a316e4cab7daf99cc09d1c647f5dd6e7d5bb",
887 ),
888 false, )
890 }
891
892 fn vector_sig_verification_1() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
893 let (public_key, sig, message) = parse_vector_sig_verification(
894 "87f8f2b218f49845f6f10eec3877136269f5c1a54736dbdf69f89940cad41555",
895 "e15f369036f49842fac7a86c8a2b0557609776814448b8f5e84aa9f4395205e9",
896 "d19ff48b324915576416097d2544f7cbdf8768b1454ad20e0baac50e211f23b0",
897 "a3e81e59311cdfff2d4784949f7a2cb50ba6c3a91fa54710568e61aca3e847c6",
898 "e4796db5f785f207aa30d311693b3702821dff1168fd2e04c0836825aefd850d9aa60326d88cde1a23c7
899 745351392ca2288d632c264f197d05cd424a30336c19fd09bb229654f0222fcb881a4b35c290a093ac159ce1
900 3409111ff0358411133c24f5b8e2090d6db6558afc36f06ca1f6ef779785adba68db27a409859fc4c4a0",
901 );
902 (public_key, sig, message, false)
903 }
904
905 fn vector_sig_verification_2() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
906 let (public_key, sig, message) = parse_vector_sig_verification(
907 "5cf02a00d205bdfee2016f7421807fc38ae69e6b7ccd064ee689fc1a94a9f7d2",
908 "ec530ce3cc5c9d1af463f264d685afe2b4db4b5828d7e61b748930f3ce622a85",
909 "dc23d130c6117fb5751201455e99f36f59aba1a6a21cf2d0e7481a97451d6693",
910 "d6ce7708c18dbf35d4f8aa7240922dc6823f2e7058cbc1484fcad1599db5018c",
911 "069a6e6b93dfee6df6ef6997cd80dd2182c36653cef10c655d524585655462d683877f95ecc6d6c81623
912 d8fac4e900ed0019964094e7de91f1481989ae1873004565789cbf5dc56c62aedc63f62f3b894c9c6f7788c8
913 ecaadc9bd0e81ad91b2b3569ea12260e93924fdddd3972af5273198f5efda0746219475017557616170e",
914 );
915 (public_key, sig, message, false)
916 }
917
918 fn vector_sig_verification_3() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
919 let (public_key, sig, message) = parse_vector_sig_verification(
920 "2ddfd145767883ffbb0ac003ab4a44346d08fa2570b3120dcce94562422244cb",
921 "5f70c7d11ac2b7a435ccfbbae02c3df1ea6b532cc0e9db74f93fffca7c6f9a64",
922 "9913111cff6f20c5bf453a99cd2c2019a4e749a49724a08774d14e4c113edda8",
923 "9467cd4cd21ecb56b0cab0a9a453b43386845459127a952421f5c6382866c5cc",
924 "df04a346cf4d0e331a6db78cca2d456d31b0a000aa51441defdb97bbeb20b94d8d746429a393ba88840d
925 661615e07def615a342abedfa4ce912e562af714959896858af817317a840dcff85a057bb91a3c2bf9010550
926 0362754a6dd321cdd86128cfc5f04667b57aa78c112411e42da304f1012d48cd6a7052d7de44ebcc01de",
927 );
928 (public_key, sig, message, false)
929 }
930
931 fn vector_sig_verification_4() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
932 let (public_key, sig, message) = parse_vector_sig_verification(
933 "e424dc61d4bb3cb7ef4344a7f8957a0c5134e16f7a67c074f82e6e12f49abf3c",
934 "970eed7aa2bc48651545949de1dddaf0127e5965ac85d1243d6f60e7dfaee927",
935 "bf96b99aa49c705c910be33142017c642ff540c76349b9dab72f981fd9347f4f",
936 "17c55095819089c2e03b9cd415abdf12444e323075d98f31920b9e0f57ec871c",
937 "e1130af6a38ccb412a9c8d13e15dbfc9e69a16385af3c3f1e5da954fd5e7c45fd75e2b8c36699228e928
938 40c0562fbf3772f07e17f1add56588dd45f7450e1217ad239922dd9c32695dc71ff2424ca0dec1321aa47064
939 a044b7fe3c2b97d03ce470a592304c5ef21eed9f93da56bb232d1eeb0035f9bf0dfafdcc4606272b20a3",
940 );
941 (public_key, sig, message, true)
942 }
943
944 fn vector_sig_verification_5() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
945 let (public_key, sig, message) = parse_vector_sig_verification(
946 "e0fc6a6f50e1c57475673ee54e3a57f9a49f3328e743bf52f335e3eeaa3d2864",
947 "7f59d689c91e463607d9194d99faf316e25432870816dde63f5d4b373f12f22a",
948 "1d75830cd36f4c9aa181b2c4221e87f176b7f05b7c87824e82e396c88315c407",
949 "cb2acb01dac96efc53a32d4a0d85d0c2e48955214783ecf50a4f0414a319c05a",
950 "73c5f6a67456ae48209b5f85d1e7de7758bf235300c6ae2bdceb1dcb27a7730fb68c950b7fcada0ecc46
951 61d3578230f225a875e69aaa17f1e71c6be5c831f22663bac63d0c7a9635edb0043ff8c6f26470f02a7bc565
952 56f1437f06dfa27b487a6c4290d8bad38d4879b334e341ba092dde4e4ae694a9c09302e2dbf443581c08",
953 );
954 (public_key, sig, message, true)
956 }
957
958 fn vector_sig_verification_6() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
959 let (public_key, sig, message) = parse_vector_sig_verification(
960 "a849bef575cac3c6920fbce675c3b787136209f855de19ffe2e8d29b31a5ad86",
961 "bf5fe4f7858f9b805bd8dcc05ad5e7fb889de2f822f3d8b41694e6c55c16b471",
962 "25acc3aa9d9e84c7abf08f73fa4195acc506491d6fc37cb9074528a7db87b9d6",
963 "9b21d5b5259ed3f2ef07dfec6cc90d3a37855d1ce122a85ba6a333f307d31537",
964 "666036d9b4a2426ed6585a4e0fd931a8761451d29ab04bd7dc6d0c5b9e38e6c2b263ff6cb837bd04399d
965 e3d757c6c7005f6d7a987063cf6d7e8cb38a4bf0d74a282572bd01d0f41e3fd066e3021575f0fa04f27b700d
966 5b7ddddf50965993c3f9c7118ed78888da7cb221849b3260592b8e632d7c51e935a0ceae15207bedd548",
967 );
968 (public_key, sig, message, false)
969 }
970
971 fn vector_sig_verification_7() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
972 let (public_key, sig, message) = parse_vector_sig_verification(
973 "3dfb6f40f2471b29b77fdccba72d37c21bba019efa40c1c8f91ec405d7dcc5df",
974 "f22f953f1e395a52ead7f3ae3fc47451b438117b1e04d613bc8555b7d6e6d1bb",
975 "548886278e5ec26bed811dbb72db1e154b6f17be70deb1b210107decb1ec2a5a",
976 "e93bfebd2f14f3d827ca32b464be6e69187f5edbd52def4f96599c37d58eee75",
977 "7e80436bce57339ce8da1b5660149a20240b146d108deef3ec5da4ae256f8f894edcbbc57b34ce37089c
978 0daa17f0c46cd82b5a1599314fd79d2fd2f446bd5a25b8e32fcf05b76d644573a6df4ad1dfea707b479d9723
979 7a346f1ec632ea5660efb57e8717a8628d7f82af50a4e84b11f21bdff6839196a880ae20b2a0918d58cd",
980 );
981 (public_key, sig, message, false)
982 }
983
984 fn vector_sig_verification_8() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
985 let (public_key, sig, message) = parse_vector_sig_verification(
986 "69b7667056e1e11d6caf6e45643f8b21e7a4bebda463c7fdbc13bc98efbd0214",
987 "d3f9b12eb46c7c6fda0da3fc85bc1fd831557f9abc902a3be3cb3e8be7d1aa2f",
988 "288f7a1cd391842cce21f00e6f15471c04dc182fe4b14d92dc18910879799790",
989 "247b3c4e89a3bcadfea73c7bfd361def43715fa382b8c3edf4ae15d6e55e9979",
990 "1669bfb657fdc62c3ddd63269787fc1c969f1850fb04c933dda063ef74a56ce13e3a649700820f0061ef
991 abf849a85d474326c8a541d99830eea8131eaea584f22d88c353965dabcdc4bf6b55949fd529507dfb803ab6
992 b480cd73ca0ba00ca19c438849e2cea262a1c57d8f81cd257fb58e19dec7904da97d8386e87b84948169",
993 );
994 (public_key, sig, message, false)
995 }
996
997 fn vector_sig_verification_9() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
998 let (public_key, sig, message) = parse_vector_sig_verification(
999 "bf02cbcf6d8cc26e91766d8af0b164fc5968535e84c158eb3bc4e2d79c3cc682",
1000 "069ba6cb06b49d60812066afa16ecf7b51352f2c03bd93ec220822b1f3dfba03",
1001 "f5acb06c59c2b4927fb852faa07faf4b1852bbb5d06840935e849c4d293d1bad",
1002 "049dab79c89cc02f1484c437f523e080a75f134917fda752f2d5ca397addfe5d",
1003 "3fe60dd9ad6caccf5a6f583b3ae65953563446c4510b70da115ffaa0ba04c076115c7043ab8733403cd6
1004 9c7d14c212c655c07b43a7c71b9a4cffe22c2684788ec6870dc2013f269172c822256f9e7cc674791bf2d848
1005 6c0f5684283e1649576efc982ede17c7b74b214754d70402fb4bb45ad086cf2cf76b3d63f7fce39ac970",
1006 );
1007 (public_key, sig, message, false)
1008 }
1009
1010 fn vector_sig_verification_10() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1011 let (public_key, sig, message) = parse_vector_sig_verification(
1012 "224a4d65b958f6d6afb2904863efd2a734b31798884801fcab5a590f4d6da9de",
1013 "178d51fddada62806f097aa615d33b8f2404e6b1479f5fd4859d595734d6d2b9",
1014 "87b93ee2fecfda54deb8dff8e426f3c72c8864991f8ec2b3205bb3b416de93d2",
1015 "4044a24df85be0cc76f21a4430b75b8e77b932a87f51e4eccbc45c263ebf8f66",
1016 "983a71b9994d95e876d84d28946a041f8f0a3f544cfcc055496580f1dfd4e312a2ad418fe69dbc61db23
1017 0cc0c0ed97e360abab7d6ff4b81ee970a7e97466acfd9644f828ffec538abc383d0e92326d1c88c55e1f46a6
1018 68a039beaa1be631a89129938c00a81a3ae46d4aecbf9707f764dbaccea3ef7665e4c4307fa0b0a3075c",
1019 );
1020 (public_key, sig, message, false)
1021 }
1022
1023 fn vector_sig_verification_11() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1024 let (public_key, sig, message) = parse_vector_sig_verification(
1025 "43691c7795a57ead8c5c68536fe934538d46f12889680a9cb6d055a066228369",
1026 "f8790110b3c3b281aa1eae037d4f1234aff587d903d93ba3af225c27ddc9ccac",
1027 "8acd62e8c262fa50dd9840480969f4ef70f218ebf8ef9584f199031132c6b1ce",
1028 "cfca7ed3d4347fb2a29e526b43c348ae1ce6c60d44f3191b6d8ea3a2d9c92154",
1029 "4a8c071ac4fd0d52faa407b0fe5dab759f7394a5832127f2a3498f34aac287339e043b4ffa79528faf19
1030 9dc917f7b066ad65505dab0e11e6948515052ce20cfdb892ffb8aa9bf3f1aa5be30a5bbe85823bddf70b39fd
1031 7ebd4a93a2f75472c1d4f606247a9821f1a8c45a6cb80545de2e0c6c0174e2392088c754e9c8443eb5af",
1032 );
1033 (public_key, sig, message, false)
1034 }
1035
1036 fn vector_sig_verification_12() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1037 let (public_key, sig, message) = parse_vector_sig_verification(
1038 "9157dbfcf8cf385f5bb1568ad5c6e2a8652ba6dfc63bc1753edf5268cb7eb596",
1039 "972570f4313d47fc96f7c02d5594d77d46f91e949808825b3d31f029e8296405",
1040 "dfaea6f297fa320b707866125c2a7d5d515b51a503bee817de9faa343cc48eeb",
1041 "8f780ad713f9c3e5a4f7fa4c519833dfefc6a7432389b1e4af463961f09764f2",
1042 "0a3a12c3084c865daf1d302c78215d39bfe0b8bf28272b3c0b74beb4b7409db0718239de700785581514
1043 321c6440a4bbaea4c76fa47401e151e68cb6c29017f0bce4631290af5ea5e2bf3ed742ae110b04ade83a5dbd
1044 7358f29a85938e23d87ac8233072b79c94670ff0959f9c7f4517862ff829452096c78f5f2e9a7e4e9216",
1045 );
1046 (public_key, sig, message, false)
1047 }
1048
1049 fn vector_sig_verification_13() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1050 let (public_key, sig, message) = parse_vector_sig_verification(
1051 "072b10c081a4c1713a294f248aef850e297991aca47fa96a7470abe3b8acfdda",
1052 "9581145cca04a0fb94cedce752c8f0370861916d2a94e7c647c5373ce6a4c8f5",
1053 "09f5483eccec80f9d104815a1be9cc1a8e5b12b6eb482a65c6907b7480cf4f19",
1054 "a4f90e560c5e4eb8696cb276e5165b6a9d486345dedfb094a76e8442d026378d",
1055 "785d07a3c54f63dca11f5d1a5f496ee2c2f9288e55007e666c78b007d95cc28581dce51f490b30fa73dc
1056 9e2d45d075d7e3a95fb8a9e1465ad191904124160b7c60fa720ef4ef1c5d2998f40570ae2a870ef3e894c2bc
1057 617d8a1dc85c3c55774928c38789b4e661349d3f84d2441a3b856a76949b9f1f80bc161648a1cad5588e",
1058 );
1059 (public_key, sig, message, false)
1060 }
1061
1062 fn vector_sig_verification_14() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1063 let (public_key, sig, message) = parse_vector_sig_verification(
1064 "09308ea5bfad6e5adf408634b3d5ce9240d35442f7fe116452aaec0d25be8c24",
1065 "f40c93e023ef494b1c3079b2d10ef67f3170740495ce2cc57f8ee4b0618b8ee5",
1066 "5cc8aa7c35743ec0c23dde88dabd5e4fcd0192d2116f6926fef788cddb754e73",
1067 "9c9c045ebaa1b828c32f82ace0d18daebf5e156eb7cbfdc1eff4399a8a900ae7",
1068 "76f987ec5448dd72219bd30bf6b66b0775c80b394851a43ff1f537f140a6e7229ef8cd72ad58b1d2d202
1069 98539d6347dd5598812bc65323aceaf05228f738b5ad3e8d9fe4100fd767c2f098c77cb99c2992843ba3eed9
1070 1d32444f3b6db6cd212dd4e5609548f4bb62812a920f6e2bf1581be1ebeebdd06ec4e971862cc42055ca",
1071 );
1072 (public_key, sig, message, false)
1073 }
1074
1075 fn vector_sig_verification_15() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1076 let (public_key, sig, message) = parse_vector_sig_verification(
1077 "2d98ea01f754d34bbc3003df5050200abf445ec728556d7ed7d5c54c55552b6d",
1078 "9b52672742d637a32add056dfd6d8792f2a33c2e69dafabea09b960bc61e230a",
1079 "06108e525f845d0155bf60193222b3219c98e3d49424c2fb2a0987f825c17959",
1080 "62b5cdd591e5b507e560167ba8f6f7cda74673eb315680cb89ccbc4eec477dce",
1081 "60cd64b2cd2be6c33859b94875120361a24085f3765cb8b2bf11e026fa9d8855dbe435acf7882e84f3c7
1082 857f96e2baab4d9afe4588e4a82e17a78827bfdb5ddbd1c211fbc2e6d884cddd7cb9d90d5bf4a7311b83f352
1083 508033812c776a0e00c003c7e0d628e50736c7512df0acfa9f2320bd102229f46495ae6d0857cc452a84",
1084 );
1085 (public_key, sig, message, true)
1086 }
1087}