1use crate::{Array, PrivateKeyExt};
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};
19use zeroize::{Zeroize, ZeroizeOnDrop};
20
21const CURVE_NAME: &str = "secp256r1";
22const PRIVATE_KEY_LENGTH: usize = 32;
23const PUBLIC_KEY_LENGTH: usize = 33; const SIGNATURE_LENGTH: usize = 64; #[derive(Clone, Eq, PartialEq, Zeroize, ZeroizeOnDrop)]
28pub struct PrivateKey {
29 raw: [u8; PRIVATE_KEY_LENGTH],
30 #[zeroize(skip)]
34 key: SigningKey,
35}
36
37impl crate::PrivateKey for PrivateKey {}
38
39impl crate::Signer for PrivateKey {
40 type Signature = Signature;
41 type PublicKey = PublicKey;
42
43 fn sign(&self, namespace: Option<&[u8]>, msg: &[u8]) -> Self::Signature {
44 let signature: p256::ecdsa::Signature = match namespace {
45 Some(namespace) => self.key.sign(&union_unique(namespace, msg)),
46 None => self.key.sign(msg),
47 };
48 let signature = match signature.normalize_s() {
49 Some(normalized) => normalized,
50 None => signature,
51 };
52 Signature::from(signature)
53 }
54
55 fn public_key(&self) -> Self::PublicKey {
56 let encoded = self.key.verifying_key().to_encoded_point(true);
57 let raw: [u8; PUBLIC_KEY_LENGTH] = encoded.as_bytes().try_into().unwrap();
58 Self::PublicKey {
59 raw,
60 key: self.key.verifying_key().to_owned(),
61 }
62 }
63}
64
65impl PrivateKeyExt for PrivateKey {
66 fn from_rng<R: Rng + CryptoRng>(rng: &mut R) -> Self {
67 let key = SigningKey::random(rng);
68 let raw = key.to_bytes().into();
69 Self { raw, key }
70 }
71}
72
73impl Write for PrivateKey {
74 fn write(&self, buf: &mut impl BufMut) {
75 self.raw.write(buf);
76 }
77}
78
79impl Read for PrivateKey {
80 type Cfg = ();
81
82 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
83 let raw = <[u8; Self::SIZE]>::read(buf)?;
84 let key =
85 SigningKey::from_slice(&raw).map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
86 Ok(Self { raw, key })
87 }
88}
89
90impl FixedSize for PrivateKey {
91 const SIZE: usize = PRIVATE_KEY_LENGTH;
92}
93
94impl Array for PrivateKey {}
95
96impl Hash for PrivateKey {
97 fn hash<H: Hasher>(&self, state: &mut H) {
98 self.raw.hash(state);
99 }
100}
101
102impl Ord for PrivateKey {
103 fn cmp(&self, other: &Self) -> std::cmp::Ordering {
104 self.raw.cmp(&other.raw)
105 }
106}
107
108impl PartialOrd for PrivateKey {
109 fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
110 Some(self.cmp(other))
111 }
112}
113
114impl AsRef<[u8]> for PrivateKey {
115 fn as_ref(&self) -> &[u8] {
116 &self.raw
117 }
118}
119
120impl Deref for PrivateKey {
121 type Target = [u8];
122 fn deref(&self) -> &[u8] {
123 &self.raw
124 }
125}
126
127impl From<SigningKey> for PrivateKey {
128 fn from(signer: SigningKey) -> Self {
129 let raw = signer.to_bytes().into();
130 Self { raw, key: signer }
131 }
132}
133
134impl Debug for PrivateKey {
135 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
136 write!(f, "{}", hex(&self.raw))
137 }
138}
139
140impl Display for PrivateKey {
141 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
142 write!(f, "{}", hex(&self.raw))
143 }
144}
145
146#[derive(Clone, Eq, PartialEq, Ord, PartialOrd)]
148pub struct PublicKey {
149 raw: [u8; PUBLIC_KEY_LENGTH],
150 key: VerifyingKey,
151}
152
153impl From<PrivateKey> for PublicKey {
154 fn from(value: PrivateKey) -> Self {
155 let encoded = value.key.verifying_key().to_encoded_point(true);
156 let raw: [u8; PUBLIC_KEY_LENGTH] = encoded.as_bytes().try_into().unwrap();
157 Self {
158 raw,
159 key: *value.key.verifying_key(),
160 }
161 }
162}
163
164impl crate::PublicKey for PublicKey {}
165
166impl crate::Verifier for PublicKey {
167 type Signature = Signature;
168
169 fn verify(&self, namespace: Option<&[u8]>, msg: &[u8], sig: &Self::Signature) -> bool {
170 let payload = match namespace {
171 Some(namespace) => Cow::Owned(union_unique(namespace, msg)),
172 None => Cow::Borrowed(msg),
173 };
174 self.key.verify(&payload, &sig.signature).is_ok()
175 }
176}
177
178impl Write for PublicKey {
179 fn write(&self, buf: &mut impl BufMut) {
180 self.raw.write(buf);
181 }
182}
183
184impl Read for PublicKey {
185 type Cfg = ();
186
187 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
188 let raw = <[u8; PUBLIC_KEY_LENGTH]>::read(buf)?;
189 let key = VerifyingKey::from_sec1_bytes(&raw)
190 .map_err(|_| CodecError::Invalid(CURVE_NAME, "Invalid PublicKey"))?;
191 Ok(Self { raw, key })
192 }
193}
194
195impl FixedSize for PublicKey {
196 const SIZE: usize = PUBLIC_KEY_LENGTH;
197}
198
199impl Array for PublicKey {}
200
201impl Hash for PublicKey {
202 fn hash<H: Hasher>(&self, state: &mut H) {
203 self.raw.hash(state);
204 }
205}
206
207impl AsRef<[u8]> for PublicKey {
208 fn as_ref(&self) -> &[u8] {
209 &self.raw
210 }
211}
212
213impl Deref for PublicKey {
214 type Target = [u8];
215 fn deref(&self) -> &[u8] {
216 &self.raw
217 }
218}
219
220impl From<VerifyingKey> for PublicKey {
221 fn from(verifier: VerifyingKey) -> Self {
222 let encoded = verifier.to_encoded_point(true);
223 let raw: [u8; PUBLIC_KEY_LENGTH] = encoded.as_bytes().try_into().unwrap();
224 Self { raw, key: verifier }
225 }
226}
227
228impl Debug for PublicKey {
229 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
230 write!(f, "{}", hex(&self.raw))
231 }
232}
233
234impl Display for PublicKey {
235 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
236 write!(f, "{}", hex(&self.raw))
237 }
238}
239
240#[derive(Clone, Eq, PartialEq)]
242pub struct Signature {
243 raw: [u8; SIGNATURE_LENGTH],
244 signature: p256::ecdsa::Signature,
245}
246
247impl crate::Signature for Signature {}
248
249impl Write for Signature {
250 fn write(&self, buf: &mut impl BufMut) {
251 self.raw.write(buf);
252 }
253}
254
255impl Read for Signature {
256 type Cfg = ();
257
258 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
259 let raw = <[u8; Self::SIZE]>::read(buf)?;
260 let signature = p256::ecdsa::Signature::from_slice(&raw)
261 .map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
262 if signature.s().is_high().into() {
263 return Err(CodecError::Invalid(CURVE_NAME, "Signature S is high"));
265 }
266 Ok(Self { raw, signature })
267 }
268}
269
270impl FixedSize for Signature {
271 const SIZE: usize = SIGNATURE_LENGTH;
272}
273
274impl Array for Signature {}
275
276impl Hash for Signature {
277 fn hash<H: Hasher>(&self, state: &mut H) {
278 self.raw.hash(state);
279 }
280}
281
282impl Ord for Signature {
283 fn cmp(&self, other: &Self) -> std::cmp::Ordering {
284 self.raw.cmp(&other.raw)
285 }
286}
287
288impl PartialOrd for Signature {
289 fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
290 Some(self.cmp(other))
291 }
292}
293
294impl AsRef<[u8]> for Signature {
295 fn as_ref(&self) -> &[u8] {
296 &self.raw
297 }
298}
299
300impl Deref for Signature {
301 type Target = [u8];
302 fn deref(&self) -> &[u8] {
303 &self.raw
304 }
305}
306
307impl From<p256::ecdsa::Signature> for Signature {
308 fn from(signature: p256::ecdsa::Signature) -> Self {
309 let raw = signature.to_bytes().into();
310 Self { raw, signature }
311 }
312}
313
314impl Debug for Signature {
315 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
316 write!(f, "{}", hex(&self.raw))
317 }
318}
319
320impl Display for Signature {
321 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
322 write!(f, "{}", hex(&self.raw))
323 }
324}
325
326#[cfg(test)]
329mod tests {
330 use crate::{Signer as _, Verifier as _};
331
332 use super::*;
333 use bytes::Bytes;
334 use commonware_codec::{DecodeExt, Encode};
335
336 fn create_private_key() -> PrivateKey {
337 const HEX: &str = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
338 PrivateKey::decode(commonware_utils::from_hex_formatted(HEX).unwrap().as_ref()).unwrap()
339 }
340
341 fn parse_vector_keypair(private_key: &str, qx: &str, qy: &str) -> (PrivateKey, PublicKey) {
342 let public_key = parse_public_key_as_compressed(qx, qy);
343 (
344 PrivateKey::decode(
345 commonware_utils::from_hex_formatted(private_key)
346 .unwrap()
347 .as_ref(),
348 )
349 .unwrap(),
350 public_key,
351 )
352 }
353
354 fn parse_vector_sig_verification(
355 qx: &str,
356 qy: &str,
357 r: &str,
358 s: &str,
359 m: &str,
360 ) -> (PublicKey, Vec<u8>, Vec<u8>) {
361 let public_key = parse_public_key_as_compressed(qx, qy);
362 let signature = parse_signature(r, s);
363 let message = commonware_utils::from_hex_formatted(m).unwrap();
364 (public_key, signature, message)
365 }
366
367 fn parse_signature(r: &str, s: &str) -> Vec<u8> {
368 let vec_r = commonware_utils::from_hex_formatted(r).unwrap();
369 let vec_s = commonware_utils::from_hex_formatted(s).unwrap();
370 let f1 = p256::FieldBytes::from_slice(&vec_r);
371 let f2 = p256::FieldBytes::from_slice(&vec_s);
372 let s = p256::ecdsa::Signature::from_scalars(*f1, *f2).unwrap();
373 s.to_vec()
374 }
375
376 fn parse_public_key_as_compressed(qx: &str, qy: &str) -> PublicKey {
377 PublicKey::decode(parse_public_key_as_compressed_vector(qx, qy).as_ref()).unwrap()
378 }
379
380 fn parse_public_key_as_compressed_vector(qx: &str, qy: &str) -> Vec<u8> {
381 let qx = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qx)).unwrap();
382 let qy = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qy)).unwrap();
383 let mut compressed = Vec::with_capacity(qx.len() + 1);
384 if qy.last().unwrap() % 2 == 0 {
385 compressed.push(0x02);
386 } else {
387 compressed.push(0x03);
388 }
389 compressed.extend_from_slice(&qx);
390 compressed
391 }
392
393 fn parse_public_key_as_uncompressed_vector(qx: &str, qy: &str) -> Vec<u8> {
394 let qx = commonware_utils::from_hex_formatted(qx).unwrap();
395 let qy = commonware_utils::from_hex_formatted(qy).unwrap();
396 let mut uncompressed_public_key = Vec::with_capacity(65);
397 uncompressed_public_key.push(0x04);
398 uncompressed_public_key.extend_from_slice(&qx);
399 uncompressed_public_key.extend_from_slice(&qy);
400 uncompressed_public_key
401 }
402
403 fn padding_odd_length_hex(value: &str) -> String {
404 if value.len() % 2 != 0 {
405 return format!("0{}", value);
406 }
407 value.to_string()
408 }
409
410 #[test]
411 fn test_codec_private_key() {
412 let original: PrivateKey = create_private_key();
413 let encoded = original.encode();
414 assert_eq!(encoded.len(), PRIVATE_KEY_LENGTH);
415
416 let decoded = PrivateKey::decode(encoded).unwrap();
417 assert_eq!(original, decoded);
418 }
419
420 #[test]
421 fn test_codec_public_key() {
422 let private_key = create_private_key();
423 let original = PublicKey::from(private_key);
424
425 let encoded = original.encode();
426 assert_eq!(encoded.len(), PUBLIC_KEY_LENGTH);
427
428 let decoded = PublicKey::decode(encoded).unwrap();
429 assert_eq!(original, decoded);
430 }
431
432 #[test]
433 fn test_codec_signature() {
434 let private_key = create_private_key();
435 let original = private_key.sign(None, "Hello World".as_bytes());
436
437 let encoded = original.encode();
438 assert_eq!(encoded.len(), SIGNATURE_LENGTH);
439
440 let decoded = Signature::decode(encoded).unwrap();
441 assert_eq!(original, decoded);
442 }
443
444 #[test]
445 fn test_codec_signature_invalid() {
446 let (_, sig, ..) = vector_sig_verification_5();
447 let result = Signature::decode(Bytes::from(sig));
448 assert!(result.is_err());
449 }
450
451 #[test]
452 fn test_scheme_sign() {
453 let private_key: PrivateKey = PrivateKey::decode(
454 commonware_utils::from_hex_formatted(
455 "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464",
456 )
457 .unwrap()
458 .as_ref(),
459 )
460 .unwrap();
461 let public_key: PublicKey = private_key.clone().into();
462 let message = commonware_utils::from_hex_formatted(
463 "5905238877c77421f73e43ee3da6f2d9e2ccad5fc942dcec0cbd25482935faaf416983fe165b1a045e
464 e2bcd2e6dca3bdf46c4310a7461f9a37960ca672d3feb5473e253605fb1ddfd28065b53cb5858a8ad28175bf
465 9bd386a5e471ea7a65c17cc934a9d791e91491eb3754d03799790fe2d308d16146d5c9b0d0debd97d79ce8",
466 )
467 .unwrap();
468 let signature = private_key.sign(None, &message);
469 assert_eq!(SIGNATURE_LENGTH, signature.len());
470 assert!(public_key.verify(None, &message, &signature));
471 }
472
473 #[test]
474 fn test_decode_zero_signature_fails() {
475 let result = Signature::decode(vec![0u8; SIGNATURE_LENGTH].as_ref());
476 assert!(result.is_err());
477 }
478
479 #[test]
480 fn test_decode_high_s_signature_fails() {
481 let (private_key, _) = vector_keypair_1();
482 let message = b"edge";
483 let signature = private_key.sign(None, message);
484 let mut bad_signature = signature.to_vec();
485 bad_signature[32] |= 0x80; assert!(Signature::decode(bad_signature.as_ref()).is_err());
487 }
488
489 #[test]
490 fn test_decode_zero_r_signature_fails() {
491 let (private_key, _) = vector_keypair_1();
492 let message = b"edge";
493 let signature = private_key.sign(None, message);
494 let mut bad_signature = signature.to_vec();
495 for b in bad_signature.iter_mut().take(32) {
496 *b = 0x00;
497 }
498 bad_signature[32] = 1;
500 assert!(Signature::decode(bad_signature.as_ref()).is_err());
501 }
502
503 #[test]
505 fn test_rfc6979() {
506 let private_key: PrivateKey = PrivateKey::decode(
507 commonware_utils::from_hex_formatted(
508 "c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721",
509 )
510 .unwrap()
511 .as_ref(),
512 )
513 .unwrap();
514
515 let (message, exp_sig) = (
516 b"sample",
517 p256::ecdsa::Signature::from_slice(
518 &commonware_utils::from_hex_formatted(
519 "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716
520 f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8",
521 )
522 .unwrap(),
523 )
524 .unwrap(),
525 );
526 let signature = private_key.sign(None, message);
527 assert_eq!(signature.to_vec(), exp_sig.normalize_s().unwrap().to_vec());
528
529 let (message, exp_sig) = (
530 b"test",
531 p256::ecdsa::Signature::from_slice(
532 &commonware_utils::from_hex_formatted(
533 "f1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367
534 019f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083",
535 )
536 .unwrap(),
537 )
538 .unwrap(),
539 );
540
541 let signature = private_key.sign(None, message);
542 assert_eq!(signature.to_vec(), exp_sig.to_vec());
543 }
544
545 #[test]
546 fn test_scheme_validate_public_key_too_long() {
547 let qx_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
548 let qy_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
549
550 let uncompressed_public_key = parse_public_key_as_uncompressed_vector(qx_hex, qy_hex);
552 let public_key = PublicKey::decode(uncompressed_public_key.as_ref());
553 assert!(matches!(public_key, Err(CodecError::Invalid(_, _))));
554
555 let mut compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
557 compressed_public_key.push(0u8);
558 let public_key = PublicKey::decode(compressed_public_key.as_ref());
559 assert!(matches!(public_key, Err(CodecError::ExtraData(1))));
560
561 let compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
563 let public_key = PublicKey::decode(compressed_public_key.as_ref());
564 assert!(public_key.is_ok());
565 }
566
567 #[test]
568 fn test_scheme_verify_signature_r0() {
569 let private_key: PrivateKey = PrivateKey::decode(
571 commonware_utils::from_hex_formatted(
572 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
573 )
574 .unwrap()
575 .as_ref(),
576 )
577 .unwrap();
578 let message = b"sample";
579 let signature = private_key.sign(None, message);
580 let (_, s) = signature.split_at(32);
581 let mut signature: Vec<u8> = vec![0x00; 32];
582 signature.extend_from_slice(s);
583
584 assert!(Signature::decode(signature.as_ref()).is_err());
586 }
587
588 #[test]
589 fn test_scheme_verify_signature_s0() {
590 let private_key: PrivateKey = PrivateKey::decode(
592 commonware_utils::from_hex_formatted(
593 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
594 )
595 .unwrap()
596 .as_ref(),
597 )
598 .unwrap();
599 let message = b"sample";
600 let signature = private_key.sign(None, message);
601 let (r, _) = signature.split_at(32);
602 let s: Vec<u8> = vec![0x00; 32];
603 let mut signature = r.to_vec();
604 signature.extend(s);
605
606 assert!(Signature::decode(signature.as_ref()).is_err());
608 }
609
610 #[test]
611 fn test_keypairs() {
612 let cases = [
613 vector_keypair_1(),
614 vector_keypair_2(),
615 vector_keypair_3(),
616 vector_keypair_4(),
617 vector_keypair_5(),
618 vector_keypair_6(),
619 vector_keypair_7(),
620 vector_keypair_8(),
621 vector_keypair_9(),
622 vector_keypair_10(),
623 ];
624
625 for (index, test) in cases.into_iter().enumerate() {
626 let (private_key, exp_public_key) = test;
627 let public_key = PublicKey::from(private_key.clone());
628 assert_eq!(exp_public_key, public_key, "vector_keypair_{}", index + 1);
629 assert!(public_key.len() == PUBLIC_KEY_LENGTH);
630 }
631 }
632
633 #[test]
634 fn test_public_key_validation() {
635 let cases = [
640 (1, vector_public_key_validation_1()),
641 (3, vector_public_key_validation_3()),
642 (4, vector_public_key_validation_4()),
643 (5, vector_public_key_validation_5()),
644 (6, vector_public_key_validation_6()),
645 (7, vector_public_key_validation_7()),
646 (8, vector_public_key_validation_8()),
647 (9, vector_public_key_validation_9()),
648 (10, vector_public_key_validation_10()),
649 (12, vector_public_key_validation_12()),
650 ];
651
652 for (n, test) in cases.iter() {
653 let (public_key, exp_valid) = test;
654 let res = PublicKey::decode(public_key.as_ref());
655 assert_eq!(
656 *exp_valid,
657 res.is_ok(),
658 "vector_public_key_validation_{}",
659 n
660 );
661 }
662 }
663
664 #[test]
665 fn test_signature_verification() {
666 let cases = [
667 vector_sig_verification_1(),
668 vector_sig_verification_2(),
669 vector_sig_verification_3(),
670 vector_sig_verification_4(),
671 vector_sig_verification_5(),
672 vector_sig_verification_6(),
673 vector_sig_verification_7(),
674 vector_sig_verification_8(),
675 vector_sig_verification_9(),
676 vector_sig_verification_10(),
677 vector_sig_verification_11(),
678 vector_sig_verification_12(),
679 vector_sig_verification_13(),
680 vector_sig_verification_14(),
681 vector_sig_verification_15(),
682 ];
683
684 for (index, test) in cases.into_iter().enumerate() {
685 let (public_key, sig, message, expected) = test;
686 let expected = if expected {
687 let mut ecdsa_signature = p256::ecdsa::Signature::from_slice(&sig).unwrap();
688 if ecdsa_signature.s().is_high().into() {
689 assert!(Signature::decode(sig.as_ref()).is_err());
691 assert!(Signature::decode(Bytes::from(sig)).is_err());
692
693 if let Some(normalized_sig) = ecdsa_signature.normalize_s() {
695 ecdsa_signature = normalized_sig;
696 }
697 }
698 let signature = Signature::from(ecdsa_signature);
699 public_key.verify(None, &message, &signature)
700 } else {
701 let tf_res = Signature::decode(sig.as_ref());
702 let dc_res = Signature::decode(Bytes::from(sig));
703 if tf_res.is_err() && dc_res.is_err() {
704 true
706 } else {
707 let f1 = !public_key.verify(None, &message, &tf_res.unwrap());
709 let f2 = !public_key.verify(None, &message, &dc_res.unwrap());
710 f1 && f2
711 }
712 };
713 assert!(expected, "vector_signature_verification_{}", index + 1);
714 }
715 }
716
717 fn vector_keypair_1() -> (PrivateKey, PublicKey) {
718 parse_vector_keypair(
719 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
720 "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f",
721 "9681b517b1cda17d0d83d335d9c4a8a9a9b0b1b3c7106d8f3c72bc5093dc275f",
722 )
723 }
724
725 fn vector_keypair_2() -> (PrivateKey, PublicKey) {
726 parse_vector_keypair(
727 "710735c8388f48c684a97bd66751cc5f5a122d6b9a96a2dbe73662f78217446d",
728 "f6836a8add91cb182d8d258dda6680690eb724a66dc3bb60d2322565c39e4ab9",
729 "1f837aa32864870cb8e8d0ac2ff31f824e7beddc4bb7ad72c173ad974b289dc2",
730 )
731 }
732
733 fn vector_keypair_3() -> (PrivateKey, PublicKey) {
734 parse_vector_keypair(
735 "78d5d8b7b3e2c16b3e37e7e63becd8ceff61e2ce618757f514620ada8a11f6e4",
736 "76711126cbb2af4f6a5fe5665dad4c88d27b6cb018879e03e54f779f203a854e",
737 "a26df39960ab5248fd3620fd018398e788bd89a3cea509b352452b69811e6856",
738 )
739 }
740
741 fn vector_keypair_4() -> (PrivateKey, PublicKey) {
742 parse_vector_keypair(
743 "2a61a0703860585fe17420c244e1de5a6ac8c25146b208ef88ad51ae34c8cb8c",
744 "e1aa7196ceeac088aaddeeba037abb18f67e1b55c0a5c4e71ec70ad666fcddc8",
745 "d7d35bdce6dedc5de98a7ecb27a9cd066a08f586a733b59f5a2cdb54f971d5c8",
746 )
747 }
748
749 fn vector_keypair_5() -> (PrivateKey, PublicKey) {
750 parse_vector_keypair(
751 "01b965b45ff386f28c121c077f1d7b2710acc6b0cb58d8662d549391dcf5a883",
752 "1f038c5422e88eec9e88b815e8f6b3e50852333fc423134348fc7d79ef8e8a10",
753 "43a047cb20e94b4ffb361ef68952b004c0700b2962e0c0635a70269bc789b849",
754 )
755 }
756
757 fn vector_keypair_6() -> (PrivateKey, PublicKey) {
758 parse_vector_keypair(
759 "fac92c13d374c53a085376fe4101618e1e181b5a63816a84a0648f3bdc24e519",
760 "7258f2ab96fc84ef6ccb33e308cd392d8b568ea635730ceb4ebd72fa870583b9",
761 "489807ca55bdc29ca5c8fe69b94f227b0345cccdbe89975e75d385cc2f6bb1e2",
762 )
763 }
764
765 fn vector_keypair_7() -> (PrivateKey, PublicKey) {
766 parse_vector_keypair(
767 "f257a192dde44227b3568008ff73bcf599a5c45b32ab523b5b21ca582fef5a0a",
768 "d2e01411817b5512b79bbbe14d606040a4c90deb09e827d25b9f2fc068997872",
769 "503f138f8bab1df2c4507ff663a1fdf7f710e7adb8e7841eaa902703e314e793",
770 )
771 }
772
773 fn vector_keypair_8() -> (PrivateKey, PublicKey) {
774 parse_vector_keypair(
775 "add67e57c42a3d28708f0235eb86885a4ea68e0d8cfd76eb46134c596522abfd",
776 "55bed2d9c029b7f230bde934c7124ed52b1330856f13cbac65a746f9175f85d7",
777 "32805e311d583b4e007c40668185e85323948e21912b6b0d2cda8557389ae7b0",
778 )
779 }
780
781 fn vector_keypair_9() -> (PrivateKey, PublicKey) {
782 parse_vector_keypair(
783 "4494860fd2c805c5c0d277e58f802cff6d731f76314eb1554142a637a9bc5538",
784 "5190277a0c14d8a3d289292f8a544ce6ea9183200e51aec08440e0c1a463a4e4",
785 "ecd98514821bd5aaf3419ab79b71780569470e4fed3da3c1353b28fe137f36eb",
786 )
787 }
788
789 fn vector_keypair_10() -> (PrivateKey, PublicKey) {
790 parse_vector_keypair(
791 "d40b07b1ea7b86d4709ef9dc634c61229feb71abd63dc7fc85ef46711a87b210",
792 "fbcea7c2827e0e8085d7707b23a3728823ea6f4878b24747fb4fd2842d406c73",
793 "2393c85f1f710c5afc115a39ba7e18abe03f19c9d4bb3d47d19468b818efa535",
794 )
795 }
796
797 fn vector_public_key_validation_1() -> (Vec<u8>, bool) {
798 (
799 parse_public_key_as_compressed_vector(
800 "e0f7449c5588f24492c338f2bc8f7865f755b958d48edb0f2d0056e50c3fd5b7",
801 "86d7e9255d0f4b6f44fa2cd6f8ba3c0aa828321d6d8cc430ca6284ce1d5b43a0",
802 ),
803 true,
804 )
805 }
806
807 fn vector_public_key_validation_3() -> (Vec<u8>, bool) {
808 (
809 parse_public_key_as_compressed_vector(
810 "17875397ae87369365656d490e8ce956911bd97607f2aff41b56f6f3a61989826",
811 "980a3c4f61b9692633fbba5ef04c9cb546dd05cdec9fa8428b8849670e2fba92",
812 ),
813 false, )
815 }
816
817 fn vector_public_key_validation_4() -> (Vec<u8>, bool) {
818 (
819 parse_public_key_as_compressed_vector(
820 "f2d1c0dc0852c3d8a2a2500a23a44813ccce1ac4e58444175b440469ffc12273",
821 "32bfe992831b305d8c37b9672df5d29fcb5c29b4a40534683e3ace23d24647dd",
822 ),
823 false, )
825 }
826
827 fn vector_public_key_validation_5() -> (Vec<u8>, bool) {
828 (
829 parse_public_key_as_compressed_vector(
830 "10b0ca230fff7c04768f4b3d5c75fa9f6c539bea644dffbec5dc796a213061b58",
831 "f5edf37c11052b75f771b7f9fa050e353e464221fec916684ed45b6fead38205",
832 ),
833 false, )
835 }
836
837 fn vector_public_key_validation_6() -> (Vec<u8>, bool) {
838 (
839 parse_public_key_as_compressed_vector(
840 "2c1052f25360a15062d204a056274e93cbe8fc4c4e9b9561134ad5c15ce525da",
841 "ced9783713a8a2a09eff366987639c625753295d9a85d0f5325e32dedbcada0b",
842 ),
843 true,
844 )
845 }
846
847 fn vector_public_key_validation_7() -> (Vec<u8>, bool) {
848 (
849 parse_public_key_as_compressed_vector(
850 "a40d077a87dae157d93dcccf3fe3aca9c6479a75aa2669509d2ef05c7de6782f",
851 "503d86b87d743ba20804fd7e7884aa017414a7b5b5963e0d46e3a9611419ddf3",
852 ),
853 false, )
855 }
856
857 fn vector_public_key_validation_8() -> (Vec<u8>, bool) {
858 (
859 parse_public_key_as_compressed_vector(
860 "2633d398a3807b1895548adbb0ea2495ef4b930f91054891030817df87d4ac0a",
861 "d6b2f738e3873cc8364a2d364038ce7d0798bb092e3dd77cbdae7c263ba618d2",
862 ),
863 true,
864 )
865 }
866
867 fn vector_public_key_validation_9() -> (Vec<u8>, bool) {
868 (
869 parse_public_key_as_compressed_vector(
870 "14bf57f76c260b51ec6bbc72dbd49f02a56eaed070b774dc4bad75a54653c3d56",
871 "7a231a23bf8b3aa31d9600d888a0678677a30e573decd3dc56b33f365cc11236",
872 ),
873 false, )
875 }
876
877 fn vector_public_key_validation_10() -> (Vec<u8>, bool) {
878 (
879 parse_public_key_as_compressed_vector(
880 "2fa74931ae816b426f484180e517f5050c92decfc8daf756cd91f54d51b302f1",
881 "5b994346137988c58c14ae2152ac2f6ad96d97decb33099bd8a0210114cd1141",
882 ),
883 true,
884 )
885 }
886
887 fn vector_public_key_validation_12() -> (Vec<u8>, bool) {
888 (
889 parse_public_key_as_compressed_vector(
890 "7a81a7e0b015252928d8b36e4ca37e92fdc328eb25c774b4f872693028c4be38",
891 "08862f7335147261e7b1c3d055f9a316e4cab7daf99cc09d1c647f5dd6e7d5bb",
892 ),
893 false, )
895 }
896
897 fn vector_sig_verification_1() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
898 let (public_key, sig, message) = parse_vector_sig_verification(
899 "87f8f2b218f49845f6f10eec3877136269f5c1a54736dbdf69f89940cad41555",
900 "e15f369036f49842fac7a86c8a2b0557609776814448b8f5e84aa9f4395205e9",
901 "d19ff48b324915576416097d2544f7cbdf8768b1454ad20e0baac50e211f23b0",
902 "a3e81e59311cdfff2d4784949f7a2cb50ba6c3a91fa54710568e61aca3e847c6",
903 "e4796db5f785f207aa30d311693b3702821dff1168fd2e04c0836825aefd850d9aa60326d88cde1a23c7
904 745351392ca2288d632c264f197d05cd424a30336c19fd09bb229654f0222fcb881a4b35c290a093ac159ce1
905 3409111ff0358411133c24f5b8e2090d6db6558afc36f06ca1f6ef779785adba68db27a409859fc4c4a0",
906 );
907 (public_key, sig, message, false)
908 }
909
910 fn vector_sig_verification_2() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
911 let (public_key, sig, message) = parse_vector_sig_verification(
912 "5cf02a00d205bdfee2016f7421807fc38ae69e6b7ccd064ee689fc1a94a9f7d2",
913 "ec530ce3cc5c9d1af463f264d685afe2b4db4b5828d7e61b748930f3ce622a85",
914 "dc23d130c6117fb5751201455e99f36f59aba1a6a21cf2d0e7481a97451d6693",
915 "d6ce7708c18dbf35d4f8aa7240922dc6823f2e7058cbc1484fcad1599db5018c",
916 "069a6e6b93dfee6df6ef6997cd80dd2182c36653cef10c655d524585655462d683877f95ecc6d6c81623
917 d8fac4e900ed0019964094e7de91f1481989ae1873004565789cbf5dc56c62aedc63f62f3b894c9c6f7788c8
918 ecaadc9bd0e81ad91b2b3569ea12260e93924fdddd3972af5273198f5efda0746219475017557616170e",
919 );
920 (public_key, sig, message, false)
921 }
922
923 fn vector_sig_verification_3() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
924 let (public_key, sig, message) = parse_vector_sig_verification(
925 "2ddfd145767883ffbb0ac003ab4a44346d08fa2570b3120dcce94562422244cb",
926 "5f70c7d11ac2b7a435ccfbbae02c3df1ea6b532cc0e9db74f93fffca7c6f9a64",
927 "9913111cff6f20c5bf453a99cd2c2019a4e749a49724a08774d14e4c113edda8",
928 "9467cd4cd21ecb56b0cab0a9a453b43386845459127a952421f5c6382866c5cc",
929 "df04a346cf4d0e331a6db78cca2d456d31b0a000aa51441defdb97bbeb20b94d8d746429a393ba88840d
930 661615e07def615a342abedfa4ce912e562af714959896858af817317a840dcff85a057bb91a3c2bf9010550
931 0362754a6dd321cdd86128cfc5f04667b57aa78c112411e42da304f1012d48cd6a7052d7de44ebcc01de",
932 );
933 (public_key, sig, message, false)
934 }
935
936 fn vector_sig_verification_4() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
937 let (public_key, sig, message) = parse_vector_sig_verification(
938 "e424dc61d4bb3cb7ef4344a7f8957a0c5134e16f7a67c074f82e6e12f49abf3c",
939 "970eed7aa2bc48651545949de1dddaf0127e5965ac85d1243d6f60e7dfaee927",
940 "bf96b99aa49c705c910be33142017c642ff540c76349b9dab72f981fd9347f4f",
941 "17c55095819089c2e03b9cd415abdf12444e323075d98f31920b9e0f57ec871c",
942 "e1130af6a38ccb412a9c8d13e15dbfc9e69a16385af3c3f1e5da954fd5e7c45fd75e2b8c36699228e928
943 40c0562fbf3772f07e17f1add56588dd45f7450e1217ad239922dd9c32695dc71ff2424ca0dec1321aa47064
944 a044b7fe3c2b97d03ce470a592304c5ef21eed9f93da56bb232d1eeb0035f9bf0dfafdcc4606272b20a3",
945 );
946 (public_key, sig, message, true)
947 }
948
949 fn vector_sig_verification_5() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
950 let (public_key, sig, message) = parse_vector_sig_verification(
951 "e0fc6a6f50e1c57475673ee54e3a57f9a49f3328e743bf52f335e3eeaa3d2864",
952 "7f59d689c91e463607d9194d99faf316e25432870816dde63f5d4b373f12f22a",
953 "1d75830cd36f4c9aa181b2c4221e87f176b7f05b7c87824e82e396c88315c407",
954 "cb2acb01dac96efc53a32d4a0d85d0c2e48955214783ecf50a4f0414a319c05a",
955 "73c5f6a67456ae48209b5f85d1e7de7758bf235300c6ae2bdceb1dcb27a7730fb68c950b7fcada0ecc46
956 61d3578230f225a875e69aaa17f1e71c6be5c831f22663bac63d0c7a9635edb0043ff8c6f26470f02a7bc565
957 56f1437f06dfa27b487a6c4290d8bad38d4879b334e341ba092dde4e4ae694a9c09302e2dbf443581c08",
958 );
959 (public_key, sig, message, true)
961 }
962
963 fn vector_sig_verification_6() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
964 let (public_key, sig, message) = parse_vector_sig_verification(
965 "a849bef575cac3c6920fbce675c3b787136209f855de19ffe2e8d29b31a5ad86",
966 "bf5fe4f7858f9b805bd8dcc05ad5e7fb889de2f822f3d8b41694e6c55c16b471",
967 "25acc3aa9d9e84c7abf08f73fa4195acc506491d6fc37cb9074528a7db87b9d6",
968 "9b21d5b5259ed3f2ef07dfec6cc90d3a37855d1ce122a85ba6a333f307d31537",
969 "666036d9b4a2426ed6585a4e0fd931a8761451d29ab04bd7dc6d0c5b9e38e6c2b263ff6cb837bd04399d
970 e3d757c6c7005f6d7a987063cf6d7e8cb38a4bf0d74a282572bd01d0f41e3fd066e3021575f0fa04f27b700d
971 5b7ddddf50965993c3f9c7118ed78888da7cb221849b3260592b8e632d7c51e935a0ceae15207bedd548",
972 );
973 (public_key, sig, message, false)
974 }
975
976 fn vector_sig_verification_7() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
977 let (public_key, sig, message) = parse_vector_sig_verification(
978 "3dfb6f40f2471b29b77fdccba72d37c21bba019efa40c1c8f91ec405d7dcc5df",
979 "f22f953f1e395a52ead7f3ae3fc47451b438117b1e04d613bc8555b7d6e6d1bb",
980 "548886278e5ec26bed811dbb72db1e154b6f17be70deb1b210107decb1ec2a5a",
981 "e93bfebd2f14f3d827ca32b464be6e69187f5edbd52def4f96599c37d58eee75",
982 "7e80436bce57339ce8da1b5660149a20240b146d108deef3ec5da4ae256f8f894edcbbc57b34ce37089c
983 0daa17f0c46cd82b5a1599314fd79d2fd2f446bd5a25b8e32fcf05b76d644573a6df4ad1dfea707b479d9723
984 7a346f1ec632ea5660efb57e8717a8628d7f82af50a4e84b11f21bdff6839196a880ae20b2a0918d58cd",
985 );
986 (public_key, sig, message, false)
987 }
988
989 fn vector_sig_verification_8() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
990 let (public_key, sig, message) = parse_vector_sig_verification(
991 "69b7667056e1e11d6caf6e45643f8b21e7a4bebda463c7fdbc13bc98efbd0214",
992 "d3f9b12eb46c7c6fda0da3fc85bc1fd831557f9abc902a3be3cb3e8be7d1aa2f",
993 "288f7a1cd391842cce21f00e6f15471c04dc182fe4b14d92dc18910879799790",
994 "247b3c4e89a3bcadfea73c7bfd361def43715fa382b8c3edf4ae15d6e55e9979",
995 "1669bfb657fdc62c3ddd63269787fc1c969f1850fb04c933dda063ef74a56ce13e3a649700820f0061ef
996 abf849a85d474326c8a541d99830eea8131eaea584f22d88c353965dabcdc4bf6b55949fd529507dfb803ab6
997 b480cd73ca0ba00ca19c438849e2cea262a1c57d8f81cd257fb58e19dec7904da97d8386e87b84948169",
998 );
999 (public_key, sig, message, false)
1000 }
1001
1002 fn vector_sig_verification_9() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1003 let (public_key, sig, message) = parse_vector_sig_verification(
1004 "bf02cbcf6d8cc26e91766d8af0b164fc5968535e84c158eb3bc4e2d79c3cc682",
1005 "069ba6cb06b49d60812066afa16ecf7b51352f2c03bd93ec220822b1f3dfba03",
1006 "f5acb06c59c2b4927fb852faa07faf4b1852bbb5d06840935e849c4d293d1bad",
1007 "049dab79c89cc02f1484c437f523e080a75f134917fda752f2d5ca397addfe5d",
1008 "3fe60dd9ad6caccf5a6f583b3ae65953563446c4510b70da115ffaa0ba04c076115c7043ab8733403cd6
1009 9c7d14c212c655c07b43a7c71b9a4cffe22c2684788ec6870dc2013f269172c822256f9e7cc674791bf2d848
1010 6c0f5684283e1649576efc982ede17c7b74b214754d70402fb4bb45ad086cf2cf76b3d63f7fce39ac970",
1011 );
1012 (public_key, sig, message, false)
1013 }
1014
1015 fn vector_sig_verification_10() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1016 let (public_key, sig, message) = parse_vector_sig_verification(
1017 "224a4d65b958f6d6afb2904863efd2a734b31798884801fcab5a590f4d6da9de",
1018 "178d51fddada62806f097aa615d33b8f2404e6b1479f5fd4859d595734d6d2b9",
1019 "87b93ee2fecfda54deb8dff8e426f3c72c8864991f8ec2b3205bb3b416de93d2",
1020 "4044a24df85be0cc76f21a4430b75b8e77b932a87f51e4eccbc45c263ebf8f66",
1021 "983a71b9994d95e876d84d28946a041f8f0a3f544cfcc055496580f1dfd4e312a2ad418fe69dbc61db23
1022 0cc0c0ed97e360abab7d6ff4b81ee970a7e97466acfd9644f828ffec538abc383d0e92326d1c88c55e1f46a6
1023 68a039beaa1be631a89129938c00a81a3ae46d4aecbf9707f764dbaccea3ef7665e4c4307fa0b0a3075c",
1024 );
1025 (public_key, sig, message, false)
1026 }
1027
1028 fn vector_sig_verification_11() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1029 let (public_key, sig, message) = parse_vector_sig_verification(
1030 "43691c7795a57ead8c5c68536fe934538d46f12889680a9cb6d055a066228369",
1031 "f8790110b3c3b281aa1eae037d4f1234aff587d903d93ba3af225c27ddc9ccac",
1032 "8acd62e8c262fa50dd9840480969f4ef70f218ebf8ef9584f199031132c6b1ce",
1033 "cfca7ed3d4347fb2a29e526b43c348ae1ce6c60d44f3191b6d8ea3a2d9c92154",
1034 "4a8c071ac4fd0d52faa407b0fe5dab759f7394a5832127f2a3498f34aac287339e043b4ffa79528faf19
1035 9dc917f7b066ad65505dab0e11e6948515052ce20cfdb892ffb8aa9bf3f1aa5be30a5bbe85823bddf70b39fd
1036 7ebd4a93a2f75472c1d4f606247a9821f1a8c45a6cb80545de2e0c6c0174e2392088c754e9c8443eb5af",
1037 );
1038 (public_key, sig, message, false)
1039 }
1040
1041 fn vector_sig_verification_12() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1042 let (public_key, sig, message) = parse_vector_sig_verification(
1043 "9157dbfcf8cf385f5bb1568ad5c6e2a8652ba6dfc63bc1753edf5268cb7eb596",
1044 "972570f4313d47fc96f7c02d5594d77d46f91e949808825b3d31f029e8296405",
1045 "dfaea6f297fa320b707866125c2a7d5d515b51a503bee817de9faa343cc48eeb",
1046 "8f780ad713f9c3e5a4f7fa4c519833dfefc6a7432389b1e4af463961f09764f2",
1047 "0a3a12c3084c865daf1d302c78215d39bfe0b8bf28272b3c0b74beb4b7409db0718239de700785581514
1048 321c6440a4bbaea4c76fa47401e151e68cb6c29017f0bce4631290af5ea5e2bf3ed742ae110b04ade83a5dbd
1049 7358f29a85938e23d87ac8233072b79c94670ff0959f9c7f4517862ff829452096c78f5f2e9a7e4e9216",
1050 );
1051 (public_key, sig, message, false)
1052 }
1053
1054 fn vector_sig_verification_13() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1055 let (public_key, sig, message) = parse_vector_sig_verification(
1056 "072b10c081a4c1713a294f248aef850e297991aca47fa96a7470abe3b8acfdda",
1057 "9581145cca04a0fb94cedce752c8f0370861916d2a94e7c647c5373ce6a4c8f5",
1058 "09f5483eccec80f9d104815a1be9cc1a8e5b12b6eb482a65c6907b7480cf4f19",
1059 "a4f90e560c5e4eb8696cb276e5165b6a9d486345dedfb094a76e8442d026378d",
1060 "785d07a3c54f63dca11f5d1a5f496ee2c2f9288e55007e666c78b007d95cc28581dce51f490b30fa73dc
1061 9e2d45d075d7e3a95fb8a9e1465ad191904124160b7c60fa720ef4ef1c5d2998f40570ae2a870ef3e894c2bc
1062 617d8a1dc85c3c55774928c38789b4e661349d3f84d2441a3b856a76949b9f1f80bc161648a1cad5588e",
1063 );
1064 (public_key, sig, message, false)
1065 }
1066
1067 fn vector_sig_verification_14() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1068 let (public_key, sig, message) = parse_vector_sig_verification(
1069 "09308ea5bfad6e5adf408634b3d5ce9240d35442f7fe116452aaec0d25be8c24",
1070 "f40c93e023ef494b1c3079b2d10ef67f3170740495ce2cc57f8ee4b0618b8ee5",
1071 "5cc8aa7c35743ec0c23dde88dabd5e4fcd0192d2116f6926fef788cddb754e73",
1072 "9c9c045ebaa1b828c32f82ace0d18daebf5e156eb7cbfdc1eff4399a8a900ae7",
1073 "76f987ec5448dd72219bd30bf6b66b0775c80b394851a43ff1f537f140a6e7229ef8cd72ad58b1d2d202
1074 98539d6347dd5598812bc65323aceaf05228f738b5ad3e8d9fe4100fd767c2f098c77cb99c2992843ba3eed9
1075 1d32444f3b6db6cd212dd4e5609548f4bb62812a920f6e2bf1581be1ebeebdd06ec4e971862cc42055ca",
1076 );
1077 (public_key, sig, message, false)
1078 }
1079
1080 fn vector_sig_verification_15() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1081 let (public_key, sig, message) = parse_vector_sig_verification(
1082 "2d98ea01f754d34bbc3003df5050200abf445ec728556d7ed7d5c54c55552b6d",
1083 "9b52672742d637a32add056dfd6d8792f2a33c2e69dafabea09b960bc61e230a",
1084 "06108e525f845d0155bf60193222b3219c98e3d49424c2fb2a0987f825c17959",
1085 "62b5cdd591e5b507e560167ba8f6f7cda74673eb315680cb89ccbc4eec477dce",
1086 "60cd64b2cd2be6c33859b94875120361a24085f3765cb8b2bf11e026fa9d8855dbe435acf7882e84f3c7
1087 857f96e2baab4d9afe4588e4a82e17a78827bfdb5ddbd1c211fbc2e6d884cddd7cb9d90d5bf4a7311b83f352
1088 508033812c776a0e00c003c7e0d628e50736c7512df0acfa9f2320bd102229f46495ae6d0857cc452a84",
1089 );
1090 (public_key, sig, message, true)
1091 }
1092}