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 super::*;
331 use crate::{Signer as _, Verifier as _};
332 use bytes::Bytes;
333 use commonware_codec::{DecodeExt, Encode};
334
335 fn create_private_key() -> PrivateKey {
336 const HEX: &str = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
337 PrivateKey::decode(commonware_utils::from_hex_formatted(HEX).unwrap().as_ref()).unwrap()
338 }
339
340 fn parse_vector_keypair(private_key: &str, qx: &str, qy: &str) -> (PrivateKey, PublicKey) {
341 let public_key = parse_public_key_as_compressed(qx, qy);
342 (
343 PrivateKey::decode(
344 commonware_utils::from_hex_formatted(private_key)
345 .unwrap()
346 .as_ref(),
347 )
348 .unwrap(),
349 public_key,
350 )
351 }
352
353 fn parse_vector_sig_verification(
354 qx: &str,
355 qy: &str,
356 r: &str,
357 s: &str,
358 m: &str,
359 ) -> (PublicKey, Vec<u8>, Vec<u8>) {
360 let public_key = parse_public_key_as_compressed(qx, qy);
361 let signature = parse_signature(r, s);
362 let message = commonware_utils::from_hex_formatted(m).unwrap();
363 (public_key, signature, message)
364 }
365
366 fn parse_signature(r: &str, s: &str) -> Vec<u8> {
367 let vec_r = commonware_utils::from_hex_formatted(r).unwrap();
368 let vec_s = commonware_utils::from_hex_formatted(s).unwrap();
369 let f1 = p256::FieldBytes::from_slice(&vec_r);
370 let f2 = p256::FieldBytes::from_slice(&vec_s);
371 let s = p256::ecdsa::Signature::from_scalars(*f1, *f2).unwrap();
372 s.to_vec()
373 }
374
375 fn parse_public_key_as_compressed(qx: &str, qy: &str) -> PublicKey {
376 PublicKey::decode(parse_public_key_as_compressed_vector(qx, qy).as_ref()).unwrap()
377 }
378
379 fn parse_public_key_as_compressed_vector(qx: &str, qy: &str) -> Vec<u8> {
380 let qx = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qx)).unwrap();
381 let qy = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qy)).unwrap();
382 let mut compressed = Vec::with_capacity(qx.len() + 1);
383 if qy.last().unwrap() % 2 == 0 {
384 compressed.push(0x02);
385 } else {
386 compressed.push(0x03);
387 }
388 compressed.extend_from_slice(&qx);
389 compressed
390 }
391
392 fn parse_public_key_as_uncompressed_vector(qx: &str, qy: &str) -> Vec<u8> {
393 let qx = commonware_utils::from_hex_formatted(qx).unwrap();
394 let qy = commonware_utils::from_hex_formatted(qy).unwrap();
395 let mut uncompressed_public_key = Vec::with_capacity(65);
396 uncompressed_public_key.push(0x04);
397 uncompressed_public_key.extend_from_slice(&qx);
398 uncompressed_public_key.extend_from_slice(&qy);
399 uncompressed_public_key
400 }
401
402 fn padding_odd_length_hex(value: &str) -> String {
403 if value.len() % 2 != 0 {
404 return format!("0{value}");
405 }
406 value.to_string()
407 }
408
409 #[test]
410 fn test_codec_private_key() {
411 let original: PrivateKey = create_private_key();
412 let encoded = original.encode();
413 assert_eq!(encoded.len(), PRIVATE_KEY_LENGTH);
414
415 let decoded = PrivateKey::decode(encoded).unwrap();
416 assert_eq!(original, decoded);
417 }
418
419 #[test]
420 fn test_codec_public_key() {
421 let private_key = create_private_key();
422 let original = PublicKey::from(private_key);
423
424 let encoded = original.encode();
425 assert_eq!(encoded.len(), PUBLIC_KEY_LENGTH);
426
427 let decoded = PublicKey::decode(encoded).unwrap();
428 assert_eq!(original, decoded);
429 }
430
431 #[test]
432 fn test_codec_signature() {
433 let private_key = create_private_key();
434 let original = private_key.sign(None, "Hello World".as_bytes());
435
436 let encoded = original.encode();
437 assert_eq!(encoded.len(), SIGNATURE_LENGTH);
438
439 let decoded = Signature::decode(encoded).unwrap();
440 assert_eq!(original, decoded);
441 }
442
443 #[test]
444 fn test_codec_signature_invalid() {
445 let (_, sig, ..) = vector_sig_verification_5();
446 let result = Signature::decode(Bytes::from(sig));
447 assert!(result.is_err());
448 }
449
450 #[test]
451 fn test_scheme_sign() {
452 let private_key: PrivateKey = PrivateKey::decode(
453 commonware_utils::from_hex_formatted(
454 "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464",
455 )
456 .unwrap()
457 .as_ref(),
458 )
459 .unwrap();
460 let public_key: PublicKey = private_key.clone().into();
461 let message = commonware_utils::from_hex_formatted(
462 "5905238877c77421f73e43ee3da6f2d9e2ccad5fc942dcec0cbd25482935faaf416983fe165b1a045e
463 e2bcd2e6dca3bdf46c4310a7461f9a37960ca672d3feb5473e253605fb1ddfd28065b53cb5858a8ad28175bf
464 9bd386a5e471ea7a65c17cc934a9d791e91491eb3754d03799790fe2d308d16146d5c9b0d0debd97d79ce8",
465 )
466 .unwrap();
467 let signature = private_key.sign(None, &message);
468 assert_eq!(SIGNATURE_LENGTH, signature.len());
469 assert!(public_key.verify(None, &message, &signature));
470 }
471
472 #[test]
473 fn test_decode_zero_signature_fails() {
474 let result = Signature::decode(vec![0u8; SIGNATURE_LENGTH].as_ref());
475 assert!(result.is_err());
476 }
477
478 #[test]
479 fn test_decode_high_s_signature_fails() {
480 let (private_key, _) = vector_keypair_1();
481 let message = b"edge";
482 let signature = private_key.sign(None, message);
483 let mut bad_signature = signature.to_vec();
484 bad_signature[32] |= 0x80; assert!(Signature::decode(bad_signature.as_ref()).is_err());
486 }
487
488 #[test]
489 fn test_decode_zero_r_signature_fails() {
490 let (private_key, _) = vector_keypair_1();
491 let message = b"edge";
492 let signature = private_key.sign(None, message);
493 let mut bad_signature = signature.to_vec();
494 for b in bad_signature.iter_mut().take(32) {
495 *b = 0x00;
496 }
497 bad_signature[32] = 1;
499 assert!(Signature::decode(bad_signature.as_ref()).is_err());
500 }
501
502 #[test]
504 fn test_rfc6979() {
505 let private_key: PrivateKey = PrivateKey::decode(
506 commonware_utils::from_hex_formatted(
507 "c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721",
508 )
509 .unwrap()
510 .as_ref(),
511 )
512 .unwrap();
513
514 let (message, exp_sig) = (
515 b"sample",
516 p256::ecdsa::Signature::from_slice(
517 &commonware_utils::from_hex_formatted(
518 "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716
519 f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8",
520 )
521 .unwrap(),
522 )
523 .unwrap(),
524 );
525 let signature = private_key.sign(None, message);
526 assert_eq!(signature.to_vec(), exp_sig.normalize_s().unwrap().to_vec());
527
528 let (message, exp_sig) = (
529 b"test",
530 p256::ecdsa::Signature::from_slice(
531 &commonware_utils::from_hex_formatted(
532 "f1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367
533 019f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083",
534 )
535 .unwrap(),
536 )
537 .unwrap(),
538 );
539
540 let signature = private_key.sign(None, message);
541 assert_eq!(signature.to_vec(), exp_sig.to_vec());
542 }
543
544 #[test]
545 fn test_scheme_validate_public_key_too_long() {
546 let qx_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
547 let qy_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
548
549 let uncompressed_public_key = parse_public_key_as_uncompressed_vector(qx_hex, qy_hex);
551 let public_key = PublicKey::decode(uncompressed_public_key.as_ref());
552 assert!(matches!(public_key, Err(CodecError::Invalid(_, _))));
553
554 let mut compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
556 compressed_public_key.push(0u8);
557 let public_key = PublicKey::decode(compressed_public_key.as_ref());
558 assert!(matches!(public_key, Err(CodecError::ExtraData(1))));
559
560 let compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
562 let public_key = PublicKey::decode(compressed_public_key.as_ref());
563 assert!(public_key.is_ok());
564 }
565
566 #[test]
567 fn test_scheme_verify_signature_r0() {
568 let private_key: PrivateKey = PrivateKey::decode(
570 commonware_utils::from_hex_formatted(
571 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
572 )
573 .unwrap()
574 .as_ref(),
575 )
576 .unwrap();
577 let message = b"sample";
578 let signature = private_key.sign(None, message);
579 let (_, s) = signature.split_at(32);
580 let mut signature: Vec<u8> = vec![0x00; 32];
581 signature.extend_from_slice(s);
582
583 assert!(Signature::decode(signature.as_ref()).is_err());
585 }
586
587 #[test]
588 fn test_scheme_verify_signature_s0() {
589 let private_key: PrivateKey = PrivateKey::decode(
591 commonware_utils::from_hex_formatted(
592 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
593 )
594 .unwrap()
595 .as_ref(),
596 )
597 .unwrap();
598 let message = b"sample";
599 let signature = private_key.sign(None, message);
600 let (r, _) = signature.split_at(32);
601 let s: Vec<u8> = vec![0x00; 32];
602 let mut signature = r.to_vec();
603 signature.extend(s);
604
605 assert!(Signature::decode(signature.as_ref()).is_err());
607 }
608
609 #[test]
610 fn test_keypairs() {
611 let cases = [
612 vector_keypair_1(),
613 vector_keypair_2(),
614 vector_keypair_3(),
615 vector_keypair_4(),
616 vector_keypair_5(),
617 vector_keypair_6(),
618 vector_keypair_7(),
619 vector_keypair_8(),
620 vector_keypair_9(),
621 vector_keypair_10(),
622 ];
623
624 for (index, test) in cases.into_iter().enumerate() {
625 let (private_key, exp_public_key) = test;
626 let public_key = PublicKey::from(private_key.clone());
627 assert_eq!(exp_public_key, public_key, "vector_keypair_{}", index + 1);
628 assert!(public_key.len() == PUBLIC_KEY_LENGTH);
629 }
630 }
631
632 #[test]
633 fn test_public_key_validation() {
634 let cases = [
639 (1, vector_public_key_validation_1()),
640 (3, vector_public_key_validation_3()),
641 (4, vector_public_key_validation_4()),
642 (5, vector_public_key_validation_5()),
643 (6, vector_public_key_validation_6()),
644 (7, vector_public_key_validation_7()),
645 (8, vector_public_key_validation_8()),
646 (9, vector_public_key_validation_9()),
647 (10, vector_public_key_validation_10()),
648 (12, vector_public_key_validation_12()),
649 ];
650
651 for (n, test) in cases.iter() {
652 let (public_key, exp_valid) = test;
653 let res = PublicKey::decode(public_key.as_ref());
654 assert_eq!(*exp_valid, res.is_ok(), "vector_public_key_validation_{n}");
655 }
656 }
657
658 #[test]
659 fn test_signature_verification() {
660 let cases = [
661 vector_sig_verification_1(),
662 vector_sig_verification_2(),
663 vector_sig_verification_3(),
664 vector_sig_verification_4(),
665 vector_sig_verification_5(),
666 vector_sig_verification_6(),
667 vector_sig_verification_7(),
668 vector_sig_verification_8(),
669 vector_sig_verification_9(),
670 vector_sig_verification_10(),
671 vector_sig_verification_11(),
672 vector_sig_verification_12(),
673 vector_sig_verification_13(),
674 vector_sig_verification_14(),
675 vector_sig_verification_15(),
676 ];
677
678 for (index, test) in cases.into_iter().enumerate() {
679 let (public_key, sig, message, expected) = test;
680 let expected = if expected {
681 let mut ecdsa_signature = p256::ecdsa::Signature::from_slice(&sig).unwrap();
682 if ecdsa_signature.s().is_high().into() {
683 assert!(Signature::decode(sig.as_ref()).is_err());
685 assert!(Signature::decode(Bytes::from(sig)).is_err());
686
687 if let Some(normalized_sig) = ecdsa_signature.normalize_s() {
689 ecdsa_signature = normalized_sig;
690 }
691 }
692 let signature = Signature::from(ecdsa_signature);
693 public_key.verify(None, &message, &signature)
694 } else {
695 let tf_res = Signature::decode(sig.as_ref());
696 let dc_res = Signature::decode(Bytes::from(sig));
697 if tf_res.is_err() && dc_res.is_err() {
698 true
700 } else {
701 let f1 = !public_key.verify(None, &message, &tf_res.unwrap());
703 let f2 = !public_key.verify(None, &message, &dc_res.unwrap());
704 f1 && f2
705 }
706 };
707 assert!(expected, "vector_signature_verification_{}", index + 1);
708 }
709 }
710
711 fn vector_keypair_1() -> (PrivateKey, PublicKey) {
712 parse_vector_keypair(
713 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
714 "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f",
715 "9681b517b1cda17d0d83d335d9c4a8a9a9b0b1b3c7106d8f3c72bc5093dc275f",
716 )
717 }
718
719 fn vector_keypair_2() -> (PrivateKey, PublicKey) {
720 parse_vector_keypair(
721 "710735c8388f48c684a97bd66751cc5f5a122d6b9a96a2dbe73662f78217446d",
722 "f6836a8add91cb182d8d258dda6680690eb724a66dc3bb60d2322565c39e4ab9",
723 "1f837aa32864870cb8e8d0ac2ff31f824e7beddc4bb7ad72c173ad974b289dc2",
724 )
725 }
726
727 fn vector_keypair_3() -> (PrivateKey, PublicKey) {
728 parse_vector_keypair(
729 "78d5d8b7b3e2c16b3e37e7e63becd8ceff61e2ce618757f514620ada8a11f6e4",
730 "76711126cbb2af4f6a5fe5665dad4c88d27b6cb018879e03e54f779f203a854e",
731 "a26df39960ab5248fd3620fd018398e788bd89a3cea509b352452b69811e6856",
732 )
733 }
734
735 fn vector_keypair_4() -> (PrivateKey, PublicKey) {
736 parse_vector_keypair(
737 "2a61a0703860585fe17420c244e1de5a6ac8c25146b208ef88ad51ae34c8cb8c",
738 "e1aa7196ceeac088aaddeeba037abb18f67e1b55c0a5c4e71ec70ad666fcddc8",
739 "d7d35bdce6dedc5de98a7ecb27a9cd066a08f586a733b59f5a2cdb54f971d5c8",
740 )
741 }
742
743 fn vector_keypair_5() -> (PrivateKey, PublicKey) {
744 parse_vector_keypair(
745 "01b965b45ff386f28c121c077f1d7b2710acc6b0cb58d8662d549391dcf5a883",
746 "1f038c5422e88eec9e88b815e8f6b3e50852333fc423134348fc7d79ef8e8a10",
747 "43a047cb20e94b4ffb361ef68952b004c0700b2962e0c0635a70269bc789b849",
748 )
749 }
750
751 fn vector_keypair_6() -> (PrivateKey, PublicKey) {
752 parse_vector_keypair(
753 "fac92c13d374c53a085376fe4101618e1e181b5a63816a84a0648f3bdc24e519",
754 "7258f2ab96fc84ef6ccb33e308cd392d8b568ea635730ceb4ebd72fa870583b9",
755 "489807ca55bdc29ca5c8fe69b94f227b0345cccdbe89975e75d385cc2f6bb1e2",
756 )
757 }
758
759 fn vector_keypair_7() -> (PrivateKey, PublicKey) {
760 parse_vector_keypair(
761 "f257a192dde44227b3568008ff73bcf599a5c45b32ab523b5b21ca582fef5a0a",
762 "d2e01411817b5512b79bbbe14d606040a4c90deb09e827d25b9f2fc068997872",
763 "503f138f8bab1df2c4507ff663a1fdf7f710e7adb8e7841eaa902703e314e793",
764 )
765 }
766
767 fn vector_keypair_8() -> (PrivateKey, PublicKey) {
768 parse_vector_keypair(
769 "add67e57c42a3d28708f0235eb86885a4ea68e0d8cfd76eb46134c596522abfd",
770 "55bed2d9c029b7f230bde934c7124ed52b1330856f13cbac65a746f9175f85d7",
771 "32805e311d583b4e007c40668185e85323948e21912b6b0d2cda8557389ae7b0",
772 )
773 }
774
775 fn vector_keypair_9() -> (PrivateKey, PublicKey) {
776 parse_vector_keypair(
777 "4494860fd2c805c5c0d277e58f802cff6d731f76314eb1554142a637a9bc5538",
778 "5190277a0c14d8a3d289292f8a544ce6ea9183200e51aec08440e0c1a463a4e4",
779 "ecd98514821bd5aaf3419ab79b71780569470e4fed3da3c1353b28fe137f36eb",
780 )
781 }
782
783 fn vector_keypair_10() -> (PrivateKey, PublicKey) {
784 parse_vector_keypair(
785 "d40b07b1ea7b86d4709ef9dc634c61229feb71abd63dc7fc85ef46711a87b210",
786 "fbcea7c2827e0e8085d7707b23a3728823ea6f4878b24747fb4fd2842d406c73",
787 "2393c85f1f710c5afc115a39ba7e18abe03f19c9d4bb3d47d19468b818efa535",
788 )
789 }
790
791 fn vector_public_key_validation_1() -> (Vec<u8>, bool) {
792 (
793 parse_public_key_as_compressed_vector(
794 "e0f7449c5588f24492c338f2bc8f7865f755b958d48edb0f2d0056e50c3fd5b7",
795 "86d7e9255d0f4b6f44fa2cd6f8ba3c0aa828321d6d8cc430ca6284ce1d5b43a0",
796 ),
797 true,
798 )
799 }
800
801 fn vector_public_key_validation_3() -> (Vec<u8>, bool) {
802 (
803 parse_public_key_as_compressed_vector(
804 "17875397ae87369365656d490e8ce956911bd97607f2aff41b56f6f3a61989826",
805 "980a3c4f61b9692633fbba5ef04c9cb546dd05cdec9fa8428b8849670e2fba92",
806 ),
807 false, )
809 }
810
811 fn vector_public_key_validation_4() -> (Vec<u8>, bool) {
812 (
813 parse_public_key_as_compressed_vector(
814 "f2d1c0dc0852c3d8a2a2500a23a44813ccce1ac4e58444175b440469ffc12273",
815 "32bfe992831b305d8c37b9672df5d29fcb5c29b4a40534683e3ace23d24647dd",
816 ),
817 false, )
819 }
820
821 fn vector_public_key_validation_5() -> (Vec<u8>, bool) {
822 (
823 parse_public_key_as_compressed_vector(
824 "10b0ca230fff7c04768f4b3d5c75fa9f6c539bea644dffbec5dc796a213061b58",
825 "f5edf37c11052b75f771b7f9fa050e353e464221fec916684ed45b6fead38205",
826 ),
827 false, )
829 }
830
831 fn vector_public_key_validation_6() -> (Vec<u8>, bool) {
832 (
833 parse_public_key_as_compressed_vector(
834 "2c1052f25360a15062d204a056274e93cbe8fc4c4e9b9561134ad5c15ce525da",
835 "ced9783713a8a2a09eff366987639c625753295d9a85d0f5325e32dedbcada0b",
836 ),
837 true,
838 )
839 }
840
841 fn vector_public_key_validation_7() -> (Vec<u8>, bool) {
842 (
843 parse_public_key_as_compressed_vector(
844 "a40d077a87dae157d93dcccf3fe3aca9c6479a75aa2669509d2ef05c7de6782f",
845 "503d86b87d743ba20804fd7e7884aa017414a7b5b5963e0d46e3a9611419ddf3",
846 ),
847 false, )
849 }
850
851 fn vector_public_key_validation_8() -> (Vec<u8>, bool) {
852 (
853 parse_public_key_as_compressed_vector(
854 "2633d398a3807b1895548adbb0ea2495ef4b930f91054891030817df87d4ac0a",
855 "d6b2f738e3873cc8364a2d364038ce7d0798bb092e3dd77cbdae7c263ba618d2",
856 ),
857 true,
858 )
859 }
860
861 fn vector_public_key_validation_9() -> (Vec<u8>, bool) {
862 (
863 parse_public_key_as_compressed_vector(
864 "14bf57f76c260b51ec6bbc72dbd49f02a56eaed070b774dc4bad75a54653c3d56",
865 "7a231a23bf8b3aa31d9600d888a0678677a30e573decd3dc56b33f365cc11236",
866 ),
867 false, )
869 }
870
871 fn vector_public_key_validation_10() -> (Vec<u8>, bool) {
872 (
873 parse_public_key_as_compressed_vector(
874 "2fa74931ae816b426f484180e517f5050c92decfc8daf756cd91f54d51b302f1",
875 "5b994346137988c58c14ae2152ac2f6ad96d97decb33099bd8a0210114cd1141",
876 ),
877 true,
878 )
879 }
880
881 fn vector_public_key_validation_12() -> (Vec<u8>, bool) {
882 (
883 parse_public_key_as_compressed_vector(
884 "7a81a7e0b015252928d8b36e4ca37e92fdc328eb25c774b4f872693028c4be38",
885 "08862f7335147261e7b1c3d055f9a316e4cab7daf99cc09d1c647f5dd6e7d5bb",
886 ),
887 false, )
889 }
890
891 fn vector_sig_verification_1() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
892 let (public_key, sig, message) = parse_vector_sig_verification(
893 "87f8f2b218f49845f6f10eec3877136269f5c1a54736dbdf69f89940cad41555",
894 "e15f369036f49842fac7a86c8a2b0557609776814448b8f5e84aa9f4395205e9",
895 "d19ff48b324915576416097d2544f7cbdf8768b1454ad20e0baac50e211f23b0",
896 "a3e81e59311cdfff2d4784949f7a2cb50ba6c3a91fa54710568e61aca3e847c6",
897 "e4796db5f785f207aa30d311693b3702821dff1168fd2e04c0836825aefd850d9aa60326d88cde1a23c7
898 745351392ca2288d632c264f197d05cd424a30336c19fd09bb229654f0222fcb881a4b35c290a093ac159ce1
899 3409111ff0358411133c24f5b8e2090d6db6558afc36f06ca1f6ef779785adba68db27a409859fc4c4a0",
900 );
901 (public_key, sig, message, false)
902 }
903
904 fn vector_sig_verification_2() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
905 let (public_key, sig, message) = parse_vector_sig_verification(
906 "5cf02a00d205bdfee2016f7421807fc38ae69e6b7ccd064ee689fc1a94a9f7d2",
907 "ec530ce3cc5c9d1af463f264d685afe2b4db4b5828d7e61b748930f3ce622a85",
908 "dc23d130c6117fb5751201455e99f36f59aba1a6a21cf2d0e7481a97451d6693",
909 "d6ce7708c18dbf35d4f8aa7240922dc6823f2e7058cbc1484fcad1599db5018c",
910 "069a6e6b93dfee6df6ef6997cd80dd2182c36653cef10c655d524585655462d683877f95ecc6d6c81623
911 d8fac4e900ed0019964094e7de91f1481989ae1873004565789cbf5dc56c62aedc63f62f3b894c9c6f7788c8
912 ecaadc9bd0e81ad91b2b3569ea12260e93924fdddd3972af5273198f5efda0746219475017557616170e",
913 );
914 (public_key, sig, message, false)
915 }
916
917 fn vector_sig_verification_3() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
918 let (public_key, sig, message) = parse_vector_sig_verification(
919 "2ddfd145767883ffbb0ac003ab4a44346d08fa2570b3120dcce94562422244cb",
920 "5f70c7d11ac2b7a435ccfbbae02c3df1ea6b532cc0e9db74f93fffca7c6f9a64",
921 "9913111cff6f20c5bf453a99cd2c2019a4e749a49724a08774d14e4c113edda8",
922 "9467cd4cd21ecb56b0cab0a9a453b43386845459127a952421f5c6382866c5cc",
923 "df04a346cf4d0e331a6db78cca2d456d31b0a000aa51441defdb97bbeb20b94d8d746429a393ba88840d
924 661615e07def615a342abedfa4ce912e562af714959896858af817317a840dcff85a057bb91a3c2bf9010550
925 0362754a6dd321cdd86128cfc5f04667b57aa78c112411e42da304f1012d48cd6a7052d7de44ebcc01de",
926 );
927 (public_key, sig, message, false)
928 }
929
930 fn vector_sig_verification_4() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
931 let (public_key, sig, message) = parse_vector_sig_verification(
932 "e424dc61d4bb3cb7ef4344a7f8957a0c5134e16f7a67c074f82e6e12f49abf3c",
933 "970eed7aa2bc48651545949de1dddaf0127e5965ac85d1243d6f60e7dfaee927",
934 "bf96b99aa49c705c910be33142017c642ff540c76349b9dab72f981fd9347f4f",
935 "17c55095819089c2e03b9cd415abdf12444e323075d98f31920b9e0f57ec871c",
936 "e1130af6a38ccb412a9c8d13e15dbfc9e69a16385af3c3f1e5da954fd5e7c45fd75e2b8c36699228e928
937 40c0562fbf3772f07e17f1add56588dd45f7450e1217ad239922dd9c32695dc71ff2424ca0dec1321aa47064
938 a044b7fe3c2b97d03ce470a592304c5ef21eed9f93da56bb232d1eeb0035f9bf0dfafdcc4606272b20a3",
939 );
940 (public_key, sig, message, true)
941 }
942
943 fn vector_sig_verification_5() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
944 let (public_key, sig, message) = parse_vector_sig_verification(
945 "e0fc6a6f50e1c57475673ee54e3a57f9a49f3328e743bf52f335e3eeaa3d2864",
946 "7f59d689c91e463607d9194d99faf316e25432870816dde63f5d4b373f12f22a",
947 "1d75830cd36f4c9aa181b2c4221e87f176b7f05b7c87824e82e396c88315c407",
948 "cb2acb01dac96efc53a32d4a0d85d0c2e48955214783ecf50a4f0414a319c05a",
949 "73c5f6a67456ae48209b5f85d1e7de7758bf235300c6ae2bdceb1dcb27a7730fb68c950b7fcada0ecc46
950 61d3578230f225a875e69aaa17f1e71c6be5c831f22663bac63d0c7a9635edb0043ff8c6f26470f02a7bc565
951 56f1437f06dfa27b487a6c4290d8bad38d4879b334e341ba092dde4e4ae694a9c09302e2dbf443581c08",
952 );
953 (public_key, sig, message, true)
955 }
956
957 fn vector_sig_verification_6() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
958 let (public_key, sig, message) = parse_vector_sig_verification(
959 "a849bef575cac3c6920fbce675c3b787136209f855de19ffe2e8d29b31a5ad86",
960 "bf5fe4f7858f9b805bd8dcc05ad5e7fb889de2f822f3d8b41694e6c55c16b471",
961 "25acc3aa9d9e84c7abf08f73fa4195acc506491d6fc37cb9074528a7db87b9d6",
962 "9b21d5b5259ed3f2ef07dfec6cc90d3a37855d1ce122a85ba6a333f307d31537",
963 "666036d9b4a2426ed6585a4e0fd931a8761451d29ab04bd7dc6d0c5b9e38e6c2b263ff6cb837bd04399d
964 e3d757c6c7005f6d7a987063cf6d7e8cb38a4bf0d74a282572bd01d0f41e3fd066e3021575f0fa04f27b700d
965 5b7ddddf50965993c3f9c7118ed78888da7cb221849b3260592b8e632d7c51e935a0ceae15207bedd548",
966 );
967 (public_key, sig, message, false)
968 }
969
970 fn vector_sig_verification_7() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
971 let (public_key, sig, message) = parse_vector_sig_verification(
972 "3dfb6f40f2471b29b77fdccba72d37c21bba019efa40c1c8f91ec405d7dcc5df",
973 "f22f953f1e395a52ead7f3ae3fc47451b438117b1e04d613bc8555b7d6e6d1bb",
974 "548886278e5ec26bed811dbb72db1e154b6f17be70deb1b210107decb1ec2a5a",
975 "e93bfebd2f14f3d827ca32b464be6e69187f5edbd52def4f96599c37d58eee75",
976 "7e80436bce57339ce8da1b5660149a20240b146d108deef3ec5da4ae256f8f894edcbbc57b34ce37089c
977 0daa17f0c46cd82b5a1599314fd79d2fd2f446bd5a25b8e32fcf05b76d644573a6df4ad1dfea707b479d9723
978 7a346f1ec632ea5660efb57e8717a8628d7f82af50a4e84b11f21bdff6839196a880ae20b2a0918d58cd",
979 );
980 (public_key, sig, message, false)
981 }
982
983 fn vector_sig_verification_8() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
984 let (public_key, sig, message) = parse_vector_sig_verification(
985 "69b7667056e1e11d6caf6e45643f8b21e7a4bebda463c7fdbc13bc98efbd0214",
986 "d3f9b12eb46c7c6fda0da3fc85bc1fd831557f9abc902a3be3cb3e8be7d1aa2f",
987 "288f7a1cd391842cce21f00e6f15471c04dc182fe4b14d92dc18910879799790",
988 "247b3c4e89a3bcadfea73c7bfd361def43715fa382b8c3edf4ae15d6e55e9979",
989 "1669bfb657fdc62c3ddd63269787fc1c969f1850fb04c933dda063ef74a56ce13e3a649700820f0061ef
990 abf849a85d474326c8a541d99830eea8131eaea584f22d88c353965dabcdc4bf6b55949fd529507dfb803ab6
991 b480cd73ca0ba00ca19c438849e2cea262a1c57d8f81cd257fb58e19dec7904da97d8386e87b84948169",
992 );
993 (public_key, sig, message, false)
994 }
995
996 fn vector_sig_verification_9() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
997 let (public_key, sig, message) = parse_vector_sig_verification(
998 "bf02cbcf6d8cc26e91766d8af0b164fc5968535e84c158eb3bc4e2d79c3cc682",
999 "069ba6cb06b49d60812066afa16ecf7b51352f2c03bd93ec220822b1f3dfba03",
1000 "f5acb06c59c2b4927fb852faa07faf4b1852bbb5d06840935e849c4d293d1bad",
1001 "049dab79c89cc02f1484c437f523e080a75f134917fda752f2d5ca397addfe5d",
1002 "3fe60dd9ad6caccf5a6f583b3ae65953563446c4510b70da115ffaa0ba04c076115c7043ab8733403cd6
1003 9c7d14c212c655c07b43a7c71b9a4cffe22c2684788ec6870dc2013f269172c822256f9e7cc674791bf2d848
1004 6c0f5684283e1649576efc982ede17c7b74b214754d70402fb4bb45ad086cf2cf76b3d63f7fce39ac970",
1005 );
1006 (public_key, sig, message, false)
1007 }
1008
1009 fn vector_sig_verification_10() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1010 let (public_key, sig, message) = parse_vector_sig_verification(
1011 "224a4d65b958f6d6afb2904863efd2a734b31798884801fcab5a590f4d6da9de",
1012 "178d51fddada62806f097aa615d33b8f2404e6b1479f5fd4859d595734d6d2b9",
1013 "87b93ee2fecfda54deb8dff8e426f3c72c8864991f8ec2b3205bb3b416de93d2",
1014 "4044a24df85be0cc76f21a4430b75b8e77b932a87f51e4eccbc45c263ebf8f66",
1015 "983a71b9994d95e876d84d28946a041f8f0a3f544cfcc055496580f1dfd4e312a2ad418fe69dbc61db23
1016 0cc0c0ed97e360abab7d6ff4b81ee970a7e97466acfd9644f828ffec538abc383d0e92326d1c88c55e1f46a6
1017 68a039beaa1be631a89129938c00a81a3ae46d4aecbf9707f764dbaccea3ef7665e4c4307fa0b0a3075c",
1018 );
1019 (public_key, sig, message, false)
1020 }
1021
1022 fn vector_sig_verification_11() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1023 let (public_key, sig, message) = parse_vector_sig_verification(
1024 "43691c7795a57ead8c5c68536fe934538d46f12889680a9cb6d055a066228369",
1025 "f8790110b3c3b281aa1eae037d4f1234aff587d903d93ba3af225c27ddc9ccac",
1026 "8acd62e8c262fa50dd9840480969f4ef70f218ebf8ef9584f199031132c6b1ce",
1027 "cfca7ed3d4347fb2a29e526b43c348ae1ce6c60d44f3191b6d8ea3a2d9c92154",
1028 "4a8c071ac4fd0d52faa407b0fe5dab759f7394a5832127f2a3498f34aac287339e043b4ffa79528faf19
1029 9dc917f7b066ad65505dab0e11e6948515052ce20cfdb892ffb8aa9bf3f1aa5be30a5bbe85823bddf70b39fd
1030 7ebd4a93a2f75472c1d4f606247a9821f1a8c45a6cb80545de2e0c6c0174e2392088c754e9c8443eb5af",
1031 );
1032 (public_key, sig, message, false)
1033 }
1034
1035 fn vector_sig_verification_12() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1036 let (public_key, sig, message) = parse_vector_sig_verification(
1037 "9157dbfcf8cf385f5bb1568ad5c6e2a8652ba6dfc63bc1753edf5268cb7eb596",
1038 "972570f4313d47fc96f7c02d5594d77d46f91e949808825b3d31f029e8296405",
1039 "dfaea6f297fa320b707866125c2a7d5d515b51a503bee817de9faa343cc48eeb",
1040 "8f780ad713f9c3e5a4f7fa4c519833dfefc6a7432389b1e4af463961f09764f2",
1041 "0a3a12c3084c865daf1d302c78215d39bfe0b8bf28272b3c0b74beb4b7409db0718239de700785581514
1042 321c6440a4bbaea4c76fa47401e151e68cb6c29017f0bce4631290af5ea5e2bf3ed742ae110b04ade83a5dbd
1043 7358f29a85938e23d87ac8233072b79c94670ff0959f9c7f4517862ff829452096c78f5f2e9a7e4e9216",
1044 );
1045 (public_key, sig, message, false)
1046 }
1047
1048 fn vector_sig_verification_13() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1049 let (public_key, sig, message) = parse_vector_sig_verification(
1050 "072b10c081a4c1713a294f248aef850e297991aca47fa96a7470abe3b8acfdda",
1051 "9581145cca04a0fb94cedce752c8f0370861916d2a94e7c647c5373ce6a4c8f5",
1052 "09f5483eccec80f9d104815a1be9cc1a8e5b12b6eb482a65c6907b7480cf4f19",
1053 "a4f90e560c5e4eb8696cb276e5165b6a9d486345dedfb094a76e8442d026378d",
1054 "785d07a3c54f63dca11f5d1a5f496ee2c2f9288e55007e666c78b007d95cc28581dce51f490b30fa73dc
1055 9e2d45d075d7e3a95fb8a9e1465ad191904124160b7c60fa720ef4ef1c5d2998f40570ae2a870ef3e894c2bc
1056 617d8a1dc85c3c55774928c38789b4e661349d3f84d2441a3b856a76949b9f1f80bc161648a1cad5588e",
1057 );
1058 (public_key, sig, message, false)
1059 }
1060
1061 fn vector_sig_verification_14() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1062 let (public_key, sig, message) = parse_vector_sig_verification(
1063 "09308ea5bfad6e5adf408634b3d5ce9240d35442f7fe116452aaec0d25be8c24",
1064 "f40c93e023ef494b1c3079b2d10ef67f3170740495ce2cc57f8ee4b0618b8ee5",
1065 "5cc8aa7c35743ec0c23dde88dabd5e4fcd0192d2116f6926fef788cddb754e73",
1066 "9c9c045ebaa1b828c32f82ace0d18daebf5e156eb7cbfdc1eff4399a8a900ae7",
1067 "76f987ec5448dd72219bd30bf6b66b0775c80b394851a43ff1f537f140a6e7229ef8cd72ad58b1d2d202
1068 98539d6347dd5598812bc65323aceaf05228f738b5ad3e8d9fe4100fd767c2f098c77cb99c2992843ba3eed9
1069 1d32444f3b6db6cd212dd4e5609548f4bb62812a920f6e2bf1581be1ebeebdd06ec4e971862cc42055ca",
1070 );
1071 (public_key, sig, message, false)
1072 }
1073
1074 fn vector_sig_verification_15() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1075 let (public_key, sig, message) = parse_vector_sig_verification(
1076 "2d98ea01f754d34bbc3003df5050200abf445ec728556d7ed7d5c54c55552b6d",
1077 "9b52672742d637a32add056dfd6d8792f2a33c2e69dafabea09b960bc61e230a",
1078 "06108e525f845d0155bf60193222b3219c98e3d49424c2fb2a0987f825c17959",
1079 "62b5cdd591e5b507e560167ba8f6f7cda74673eb315680cb89ccbc4eec477dce",
1080 "60cd64b2cd2be6c33859b94875120361a24085f3765cb8b2bf11e026fa9d8855dbe435acf7882e84f3c7
1081 857f96e2baab4d9afe4588e4a82e17a78827bfdb5ddbd1c211fbc2e6d884cddd7cb9d90d5bf4a7311b83f352
1082 508033812c776a0e00c003c7e0d628e50736c7512df0acfa9f2320bd102229f46495ae6d0857cc452a84",
1083 );
1084 (public_key, sig, message, true)
1085 }
1086}