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};
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)]
28pub struct Secp256r1 {
29 signer: SigningKey,
30 verifier: VerifyingKey,
31}
32
33impl Specification for Secp256r1 {
34 type PublicKey = PublicKey;
35 type Signature = Signature;
36}
37
38impl CommonwareVerifier for Secp256r1 {
39 fn verify(
40 namespace: Option<&[u8]>,
41 message: &[u8],
42 public_key: &PublicKey,
43 signature: &Signature,
44 ) -> bool {
45 let payload = match namespace {
46 Some(namespace) => Cow::Owned(union_unique(namespace, message)),
47 None => Cow::Borrowed(message),
48 };
49 public_key
50 .key
51 .verify(&payload, &signature.signature)
52 .is_ok()
53 }
54}
55
56impl CommonwareSigner for Secp256r1 {
57 type PrivateKey = PrivateKey;
58
59 fn new<R: CryptoRng + Rng>(r: &mut R) -> Self {
60 let signer = SigningKey::random(r);
61 let verifier = signer.verifying_key().to_owned();
62 Self { signer, verifier }
63 }
64
65 fn from(private_key: PrivateKey) -> Option<Self> {
66 let signer = private_key.key.clone();
67 let verifier = signer.verifying_key().to_owned();
68 Some(Self { signer, verifier })
69 }
70
71 fn private_key(&self) -> PrivateKey {
72 PrivateKey::from(self.signer.clone())
73 }
74
75 fn public_key(&self) -> PublicKey {
76 PublicKey::from(self.verifier)
77 }
78
79 fn sign(&mut self, namespace: Option<&[u8]>, message: &[u8]) -> Signature {
80 let signature: p256::ecdsa::Signature = match namespace {
81 Some(namespace) => self.signer.sign(&union_unique(namespace, message)),
82 None => self.signer.sign(message),
83 };
84 let signature = match signature.normalize_s() {
85 Some(normalized) => normalized,
86 None => signature,
87 };
88 Signature::from(signature)
89 }
90}
91
92#[derive(Clone, Eq, PartialEq, Zeroize, ZeroizeOnDrop)]
94pub struct PrivateKey {
95 raw: [u8; PRIVATE_KEY_LENGTH],
96 #[zeroize(skip)]
100 key: SigningKey,
101}
102
103impl Write for PrivateKey {
104 fn write(&self, buf: &mut impl BufMut) {
105 self.raw.write(buf);
106 }
107}
108
109impl Read for PrivateKey {
110 type Cfg = ();
111
112 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
113 let raw = <[u8; Self::SIZE]>::read(buf)?;
114 let key =
115 SigningKey::from_slice(&raw).map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
116 Ok(Self { raw, key })
117 }
118}
119
120impl FixedSize for PrivateKey {
121 const SIZE: usize = PRIVATE_KEY_LENGTH;
122}
123
124impl Array for PrivateKey {}
125
126impl Hash for PrivateKey {
127 fn hash<H: Hasher>(&self, state: &mut H) {
128 self.raw.hash(state);
129 }
130}
131
132impl Ord for PrivateKey {
133 fn cmp(&self, other: &Self) -> std::cmp::Ordering {
134 self.raw.cmp(&other.raw)
135 }
136}
137
138impl PartialOrd for PrivateKey {
139 fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
140 Some(self.cmp(other))
141 }
142}
143
144impl AsRef<[u8]> for PrivateKey {
145 fn as_ref(&self) -> &[u8] {
146 &self.raw
147 }
148}
149
150impl Deref for PrivateKey {
151 type Target = [u8];
152 fn deref(&self) -> &[u8] {
153 &self.raw
154 }
155}
156
157impl From<SigningKey> for PrivateKey {
158 fn from(signer: SigningKey) -> Self {
159 let raw = signer.to_bytes().into();
160 Self { raw, key: signer }
161 }
162}
163
164impl Debug for PrivateKey {
165 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
166 write!(f, "{}", hex(&self.raw))
167 }
168}
169
170impl Display for PrivateKey {
171 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
172 write!(f, "{}", hex(&self.raw))
173 }
174}
175
176#[derive(Clone, Eq, PartialEq, Ord, PartialOrd)]
178pub struct PublicKey {
179 raw: [u8; PUBLIC_KEY_LENGTH],
180 key: VerifyingKey,
181}
182
183impl Write for PublicKey {
184 fn write(&self, buf: &mut impl BufMut) {
185 self.raw.write(buf);
186 }
187}
188
189impl Read for PublicKey {
190 type Cfg = ();
191
192 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
193 let raw = <[u8; PUBLIC_KEY_LENGTH]>::read(buf)?;
194 let key = VerifyingKey::from_sec1_bytes(&raw)
195 .map_err(|_| CodecError::Invalid(CURVE_NAME, "Invalid PublicKey"))?;
196 Ok(Self { raw, key })
197 }
198}
199
200impl FixedSize for PublicKey {
201 const SIZE: usize = PUBLIC_KEY_LENGTH;
202}
203
204impl Array for PublicKey {}
205
206impl Hash for PublicKey {
207 fn hash<H: Hasher>(&self, state: &mut H) {
208 self.raw.hash(state);
209 }
210}
211
212impl AsRef<[u8]> for PublicKey {
213 fn as_ref(&self) -> &[u8] {
214 &self.raw
215 }
216}
217
218impl Deref for PublicKey {
219 type Target = [u8];
220 fn deref(&self) -> &[u8] {
221 &self.raw
222 }
223}
224
225impl From<VerifyingKey> for PublicKey {
226 fn from(verifier: VerifyingKey) -> Self {
227 let encoded = verifier.to_encoded_point(true);
228 let raw: [u8; PUBLIC_KEY_LENGTH] = encoded.as_bytes().try_into().unwrap();
229 Self { raw, key: verifier }
230 }
231}
232
233impl Debug for PublicKey {
234 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
235 write!(f, "{}", hex(&self.raw))
236 }
237}
238
239impl Display for PublicKey {
240 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
241 write!(f, "{}", hex(&self.raw))
242 }
243}
244
245#[derive(Clone, Eq, PartialEq)]
247pub struct Signature {
248 raw: [u8; SIGNATURE_LENGTH],
249 signature: p256::ecdsa::Signature,
250}
251
252impl Write for Signature {
253 fn write(&self, buf: &mut impl BufMut) {
254 self.raw.write(buf);
255 }
256}
257
258impl Read for Signature {
259 type Cfg = ();
260
261 fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
262 let raw = <[u8; Self::SIZE]>::read(buf)?;
263 let signature = p256::ecdsa::Signature::from_slice(&raw)
264 .map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
265 if signature.s().is_high().into() {
266 return Err(CodecError::Invalid(CURVE_NAME, "Signature S is high"));
268 }
269 Ok(Self { raw, signature })
270 }
271}
272
273impl FixedSize for Signature {
274 const SIZE: usize = SIGNATURE_LENGTH;
275}
276
277impl Array for Signature {}
278
279impl Hash for Signature {
280 fn hash<H: Hasher>(&self, state: &mut H) {
281 self.raw.hash(state);
282 }
283}
284
285impl Ord for Signature {
286 fn cmp(&self, other: &Self) -> std::cmp::Ordering {
287 self.raw.cmp(&other.raw)
288 }
289}
290
291impl PartialOrd for Signature {
292 fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
293 Some(self.cmp(other))
294 }
295}
296
297impl AsRef<[u8]> for Signature {
298 fn as_ref(&self) -> &[u8] {
299 &self.raw
300 }
301}
302
303impl Deref for Signature {
304 type Target = [u8];
305 fn deref(&self) -> &[u8] {
306 &self.raw
307 }
308}
309
310impl From<p256::ecdsa::Signature> for Signature {
311 fn from(signature: p256::ecdsa::Signature) -> Self {
312 let raw = signature.to_bytes().into();
313 Self { raw, signature }
314 }
315}
316
317impl Debug for Signature {
318 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
319 write!(f, "{}", hex(&self.raw))
320 }
321}
322
323impl Display for Signature {
324 fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
325 write!(f, "{}", hex(&self.raw))
326 }
327}
328
329#[cfg(test)]
332mod tests {
333 use super::*;
334 use bytes::Bytes;
335 use commonware_codec::{DecodeExt, Encode};
336
337 fn create_private_key() -> PrivateKey {
338 const HEX: &str = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
339 PrivateKey::decode(commonware_utils::from_hex_formatted(HEX).unwrap().as_ref()).unwrap()
340 }
341
342 fn parse_vector_keypair(private_key: &str, qx: &str, qy: &str) -> (PrivateKey, PublicKey) {
343 let public_key = parse_public_key_as_compressed(qx, qy);
344 (
345 PrivateKey::decode(
346 commonware_utils::from_hex_formatted(private_key)
347 .unwrap()
348 .as_ref(),
349 )
350 .unwrap(),
351 public_key,
352 )
353 }
354
355 fn parse_vector_sig_verification(
356 qx: &str,
357 qy: &str,
358 r: &str,
359 s: &str,
360 m: &str,
361 ) -> (PublicKey, Vec<u8>, Vec<u8>) {
362 let public_key = parse_public_key_as_compressed(qx, qy);
363 let signature = parse_signature(r, s);
364 let message = commonware_utils::from_hex_formatted(m).unwrap();
365 (public_key, signature, message)
366 }
367
368 fn parse_signature(r: &str, s: &str) -> Vec<u8> {
369 let vec_r = commonware_utils::from_hex_formatted(r).unwrap();
370 let vec_s = commonware_utils::from_hex_formatted(s).unwrap();
371 let f1 = p256::FieldBytes::from_slice(&vec_r);
372 let f2 = p256::FieldBytes::from_slice(&vec_s);
373 let s = p256::ecdsa::Signature::from_scalars(*f1, *f2).unwrap();
374 s.to_vec()
375 }
376
377 fn parse_public_key_as_compressed(qx: &str, qy: &str) -> PublicKey {
378 PublicKey::decode(parse_public_key_as_compressed_vector(qx, qy).as_ref()).unwrap()
379 }
380
381 fn parse_public_key_as_compressed_vector(qx: &str, qy: &str) -> Vec<u8> {
382 let qx = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qx)).unwrap();
383 let qy = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qy)).unwrap();
384 let mut compressed = Vec::with_capacity(qx.len() + 1);
385 if qy.last().unwrap() % 2 == 0 {
386 compressed.push(0x02);
387 } else {
388 compressed.push(0x03);
389 }
390 compressed.extend_from_slice(&qx);
391 compressed
392 }
393
394 fn parse_public_key_as_uncompressed_vector(qx: &str, qy: &str) -> Vec<u8> {
395 let qx = commonware_utils::from_hex_formatted(qx).unwrap();
396 let qy = commonware_utils::from_hex_formatted(qy).unwrap();
397 let mut uncompressed_public_key = Vec::with_capacity(65);
398 uncompressed_public_key.push(0x04);
399 uncompressed_public_key.extend_from_slice(&qx);
400 uncompressed_public_key.extend_from_slice(&qy);
401 uncompressed_public_key
402 }
403
404 fn padding_odd_length_hex(value: &str) -> String {
405 if value.len() % 2 != 0 {
406 return format!("0{}", value);
407 }
408 value.to_string()
409 }
410
411 #[test]
412 fn test_codec_private_key() {
413 let original: PrivateKey = create_private_key();
414 let encoded = original.encode();
415 assert_eq!(encoded.len(), PRIVATE_KEY_LENGTH);
416
417 let decoded = PrivateKey::decode(encoded).unwrap();
418 assert_eq!(original, decoded);
419 }
420
421 #[test]
422 fn test_codec_public_key() {
423 let private_key = create_private_key();
424 let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
425 let original: PublicKey = signer.public_key();
426
427 let encoded = original.encode();
428 assert_eq!(encoded.len(), PUBLIC_KEY_LENGTH);
429
430 let decoded = PublicKey::decode(encoded).unwrap();
431 assert_eq!(original, decoded);
432 }
433
434 #[test]
435 fn test_codec_signature() {
436 let private_key = create_private_key();
437 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
438 let original = signer.sign(None, "Hello World".as_bytes());
439
440 let encoded = original.encode();
441 assert_eq!(encoded.len(), SIGNATURE_LENGTH);
442
443 let decoded = Signature::decode(encoded).unwrap();
444 assert_eq!(original, decoded);
445 }
446
447 #[test]
448 fn test_codec_signature_invalid() {
449 let (_, sig, ..) = vector_sig_verification_5();
450 let result = Signature::decode(Bytes::from(sig));
451 assert!(result.is_err());
452 }
453
454 #[test]
455 fn test_scheme_sign() {
456 let private_key: PrivateKey = PrivateKey::decode(
457 commonware_utils::from_hex_formatted(
458 "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464",
459 )
460 .unwrap()
461 .as_ref(),
462 )
463 .unwrap();
464 let message = commonware_utils::from_hex_formatted(
465 "5905238877c77421f73e43ee3da6f2d9e2ccad5fc942dcec0cbd25482935faaf416983fe165b1a045e
466 e2bcd2e6dca3bdf46c4310a7461f9a37960ca672d3feb5473e253605fb1ddfd28065b53cb5858a8ad28175bf
467 9bd386a5e471ea7a65c17cc934a9d791e91491eb3754d03799790fe2d308d16146d5c9b0d0debd97d79ce8",
468 )
469 .unwrap();
470 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
471 let signature = signer.sign(None, &message);
472 assert_eq!(SIGNATURE_LENGTH, signature.len());
473 assert!(Secp256r1::verify(
474 None,
475 &message,
476 &signer.public_key(),
477 &signature
478 ));
479 }
480
481 #[test]
482 fn test_scheme_private_key() {
483 let private_key_hex = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
484 let private_key: PrivateKey = PrivateKey::decode(
485 commonware_utils::from_hex_formatted(private_key_hex)
486 .unwrap()
487 .as_ref(),
488 )
489 .unwrap();
490 let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
491 let exported_private_key = signer.private_key();
492 assert_eq!(
493 private_key_hex,
494 commonware_utils::hex(&exported_private_key).as_str(),
495 );
496 }
497
498 #[test]
500 fn test_rfc6979() {
501 let private_key: PrivateKey = PrivateKey::decode(
502 commonware_utils::from_hex_formatted(
503 "c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721",
504 )
505 .unwrap()
506 .as_ref(),
507 )
508 .unwrap();
509
510 let (message, exp_sig) = (
511 b"sample",
512 p256::ecdsa::Signature::from_slice(
513 &commonware_utils::from_hex_formatted(
514 "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716
515 f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8",
516 )
517 .unwrap(),
518 )
519 .unwrap(),
520 );
521 let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
522 let signature = signer.sign(None, message);
523 assert_eq!(signature.to_vec(), exp_sig.normalize_s().unwrap().to_vec());
524
525 let (message, exp_sig) = (
526 b"test",
527 p256::ecdsa::Signature::from_slice(
528 &commonware_utils::from_hex_formatted(
529 "f1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367
530 019f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083",
531 )
532 .unwrap(),
533 )
534 .unwrap(),
535 );
536
537 let signature = signer.sign(None, message);
538 assert_eq!(signature.to_vec(), exp_sig.to_vec());
539 }
540
541 #[test]
542 fn test_scheme_validate_public_key_too_long() {
543 let qx_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
544 let qy_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
545
546 let uncompressed_public_key = parse_public_key_as_uncompressed_vector(qx_hex, qy_hex);
548 let public_key =
549 <Secp256r1 as Specification>::PublicKey::decode(uncompressed_public_key.as_ref());
550 assert!(matches!(public_key, Err(CodecError::Invalid(_, _))));
551
552 let mut compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
554 compressed_public_key.push(0u8);
555 let public_key =
556 <Secp256r1 as Specification>::PublicKey::decode(compressed_public_key.as_ref());
557 assert!(matches!(public_key, Err(CodecError::ExtraData(1))));
558
559 let compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
561 let public_key =
562 <Secp256r1 as Specification>::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 mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
579 let signature = signer.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 mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
601 let signature = signer.sign(None, message);
602 let (r, _) = signature.split_at(32);
603 let s: Vec<u8> = vec![0x00; 32];
604 let mut signature = r.to_vec();
605 signature.extend(s);
606
607 assert!(Signature::decode(signature.as_ref()).is_err());
609 }
610
611 #[test]
612 fn test_keypairs() {
613 let cases = [
614 vector_keypair_1(),
615 vector_keypair_2(),
616 vector_keypair_3(),
617 vector_keypair_4(),
618 vector_keypair_5(),
619 vector_keypair_6(),
620 vector_keypair_7(),
621 vector_keypair_8(),
622 vector_keypair_9(),
623 vector_keypair_10(),
624 ];
625
626 for (index, test) in cases.into_iter().enumerate() {
627 let (private_key, exp_public_key) = test;
628 let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
629 assert_eq!(
630 exp_public_key,
631 signer.public_key(),
632 "vector_keypair_{}",
633 index + 1
634 );
635 assert!(signer.public_key().len() == PUBLIC_KEY_LENGTH);
636 }
637 }
638
639 #[test]
640 fn test_public_key_validation() {
641 let cases = [
646 (1, vector_public_key_validation_1()),
647 (3, vector_public_key_validation_3()),
648 (4, vector_public_key_validation_4()),
649 (5, vector_public_key_validation_5()),
650 (6, vector_public_key_validation_6()),
651 (7, vector_public_key_validation_7()),
652 (8, vector_public_key_validation_8()),
653 (9, vector_public_key_validation_9()),
654 (10, vector_public_key_validation_10()),
655 (12, vector_public_key_validation_12()),
656 ];
657
658 for (n, test) in cases.iter() {
659 let (public_key, exp_valid) = test;
660 let res = <Secp256r1 as Specification>::PublicKey::decode(public_key.as_ref());
661 assert_eq!(
662 *exp_valid,
663 res.is_ok(),
664 "vector_public_key_validation_{}",
665 n
666 );
667 }
668 }
669
670 #[test]
671 fn test_signature_verification() {
672 let cases = [
673 vector_sig_verification_1(),
674 vector_sig_verification_2(),
675 vector_sig_verification_3(),
676 vector_sig_verification_4(),
677 vector_sig_verification_5(),
678 vector_sig_verification_6(),
679 vector_sig_verification_7(),
680 vector_sig_verification_8(),
681 vector_sig_verification_9(),
682 vector_sig_verification_10(),
683 vector_sig_verification_11(),
684 vector_sig_verification_12(),
685 vector_sig_verification_13(),
686 vector_sig_verification_14(),
687 vector_sig_verification_15(),
688 ];
689
690 for (index, test) in cases.into_iter().enumerate() {
691 let (public_key, sig, message, expected) = test;
692 let expected = if expected {
693 let mut ecdsa_signature = p256::ecdsa::Signature::from_slice(&sig).unwrap();
694 if ecdsa_signature.s().is_high().into() {
695 assert!(Signature::decode(sig.as_ref()).is_err());
697 assert!(Signature::decode(Bytes::from(sig)).is_err());
698
699 if let Some(normalized_sig) = ecdsa_signature.normalize_s() {
701 ecdsa_signature = normalized_sig;
702 }
703 }
704 let signature = Signature::from(ecdsa_signature);
705 Secp256r1::verify(None, &message, &public_key, &signature)
706 } else {
707 let tf_res = Signature::decode(sig.as_ref());
708 let dc_res = Signature::decode(Bytes::from(sig));
709 if tf_res.is_err() && dc_res.is_err() {
710 true
712 } else {
713 let f1 = !Secp256r1::verify(None, &message, &public_key, &tf_res.unwrap());
715 let f2 = !Secp256r1::verify(None, &message, &public_key, &dc_res.unwrap());
716 f1 && f2
717 }
718 };
719 assert!(expected, "vector_signature_verification_{}", index + 1);
720 }
721 }
722
723 fn vector_keypair_1() -> (PrivateKey, PublicKey) {
724 parse_vector_keypair(
725 "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
726 "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f",
727 "9681b517b1cda17d0d83d335d9c4a8a9a9b0b1b3c7106d8f3c72bc5093dc275f",
728 )
729 }
730
731 fn vector_keypair_2() -> (PrivateKey, PublicKey) {
732 parse_vector_keypair(
733 "710735c8388f48c684a97bd66751cc5f5a122d6b9a96a2dbe73662f78217446d",
734 "f6836a8add91cb182d8d258dda6680690eb724a66dc3bb60d2322565c39e4ab9",
735 "1f837aa32864870cb8e8d0ac2ff31f824e7beddc4bb7ad72c173ad974b289dc2",
736 )
737 }
738
739 fn vector_keypair_3() -> (PrivateKey, PublicKey) {
740 parse_vector_keypair(
741 "78d5d8b7b3e2c16b3e37e7e63becd8ceff61e2ce618757f514620ada8a11f6e4",
742 "76711126cbb2af4f6a5fe5665dad4c88d27b6cb018879e03e54f779f203a854e",
743 "a26df39960ab5248fd3620fd018398e788bd89a3cea509b352452b69811e6856",
744 )
745 }
746
747 fn vector_keypair_4() -> (PrivateKey, PublicKey) {
748 parse_vector_keypair(
749 "2a61a0703860585fe17420c244e1de5a6ac8c25146b208ef88ad51ae34c8cb8c",
750 "e1aa7196ceeac088aaddeeba037abb18f67e1b55c0a5c4e71ec70ad666fcddc8",
751 "d7d35bdce6dedc5de98a7ecb27a9cd066a08f586a733b59f5a2cdb54f971d5c8",
752 )
753 }
754
755 fn vector_keypair_5() -> (PrivateKey, PublicKey) {
756 parse_vector_keypair(
757 "01b965b45ff386f28c121c077f1d7b2710acc6b0cb58d8662d549391dcf5a883",
758 "1f038c5422e88eec9e88b815e8f6b3e50852333fc423134348fc7d79ef8e8a10",
759 "43a047cb20e94b4ffb361ef68952b004c0700b2962e0c0635a70269bc789b849",
760 )
761 }
762
763 fn vector_keypair_6() -> (PrivateKey, PublicKey) {
764 parse_vector_keypair(
765 "fac92c13d374c53a085376fe4101618e1e181b5a63816a84a0648f3bdc24e519",
766 "7258f2ab96fc84ef6ccb33e308cd392d8b568ea635730ceb4ebd72fa870583b9",
767 "489807ca55bdc29ca5c8fe69b94f227b0345cccdbe89975e75d385cc2f6bb1e2",
768 )
769 }
770
771 fn vector_keypair_7() -> (PrivateKey, PublicKey) {
772 parse_vector_keypair(
773 "f257a192dde44227b3568008ff73bcf599a5c45b32ab523b5b21ca582fef5a0a",
774 "d2e01411817b5512b79bbbe14d606040a4c90deb09e827d25b9f2fc068997872",
775 "503f138f8bab1df2c4507ff663a1fdf7f710e7adb8e7841eaa902703e314e793",
776 )
777 }
778
779 fn vector_keypair_8() -> (PrivateKey, PublicKey) {
780 parse_vector_keypair(
781 "add67e57c42a3d28708f0235eb86885a4ea68e0d8cfd76eb46134c596522abfd",
782 "55bed2d9c029b7f230bde934c7124ed52b1330856f13cbac65a746f9175f85d7",
783 "32805e311d583b4e007c40668185e85323948e21912b6b0d2cda8557389ae7b0",
784 )
785 }
786
787 fn vector_keypair_9() -> (PrivateKey, PublicKey) {
788 parse_vector_keypair(
789 "4494860fd2c805c5c0d277e58f802cff6d731f76314eb1554142a637a9bc5538",
790 "5190277a0c14d8a3d289292f8a544ce6ea9183200e51aec08440e0c1a463a4e4",
791 "ecd98514821bd5aaf3419ab79b71780569470e4fed3da3c1353b28fe137f36eb",
792 )
793 }
794
795 fn vector_keypair_10() -> (PrivateKey, PublicKey) {
796 parse_vector_keypair(
797 "d40b07b1ea7b86d4709ef9dc634c61229feb71abd63dc7fc85ef46711a87b210",
798 "fbcea7c2827e0e8085d7707b23a3728823ea6f4878b24747fb4fd2842d406c73",
799 "2393c85f1f710c5afc115a39ba7e18abe03f19c9d4bb3d47d19468b818efa535",
800 )
801 }
802
803 fn vector_public_key_validation_1() -> (Vec<u8>, bool) {
804 (
805 parse_public_key_as_compressed_vector(
806 "e0f7449c5588f24492c338f2bc8f7865f755b958d48edb0f2d0056e50c3fd5b7",
807 "86d7e9255d0f4b6f44fa2cd6f8ba3c0aa828321d6d8cc430ca6284ce1d5b43a0",
808 ),
809 true,
810 )
811 }
812
813 fn vector_public_key_validation_3() -> (Vec<u8>, bool) {
814 (
815 parse_public_key_as_compressed_vector(
816 "17875397ae87369365656d490e8ce956911bd97607f2aff41b56f6f3a61989826",
817 "980a3c4f61b9692633fbba5ef04c9cb546dd05cdec9fa8428b8849670e2fba92",
818 ),
819 false, )
821 }
822
823 fn vector_public_key_validation_4() -> (Vec<u8>, bool) {
824 (
825 parse_public_key_as_compressed_vector(
826 "f2d1c0dc0852c3d8a2a2500a23a44813ccce1ac4e58444175b440469ffc12273",
827 "32bfe992831b305d8c37b9672df5d29fcb5c29b4a40534683e3ace23d24647dd",
828 ),
829 false, )
831 }
832
833 fn vector_public_key_validation_5() -> (Vec<u8>, bool) {
834 (
835 parse_public_key_as_compressed_vector(
836 "10b0ca230fff7c04768f4b3d5c75fa9f6c539bea644dffbec5dc796a213061b58",
837 "f5edf37c11052b75f771b7f9fa050e353e464221fec916684ed45b6fead38205",
838 ),
839 false, )
841 }
842
843 fn vector_public_key_validation_6() -> (Vec<u8>, bool) {
844 (
845 parse_public_key_as_compressed_vector(
846 "2c1052f25360a15062d204a056274e93cbe8fc4c4e9b9561134ad5c15ce525da",
847 "ced9783713a8a2a09eff366987639c625753295d9a85d0f5325e32dedbcada0b",
848 ),
849 true,
850 )
851 }
852
853 fn vector_public_key_validation_7() -> (Vec<u8>, bool) {
854 (
855 parse_public_key_as_compressed_vector(
856 "a40d077a87dae157d93dcccf3fe3aca9c6479a75aa2669509d2ef05c7de6782f",
857 "503d86b87d743ba20804fd7e7884aa017414a7b5b5963e0d46e3a9611419ddf3",
858 ),
859 false, )
861 }
862
863 fn vector_public_key_validation_8() -> (Vec<u8>, bool) {
864 (
865 parse_public_key_as_compressed_vector(
866 "2633d398a3807b1895548adbb0ea2495ef4b930f91054891030817df87d4ac0a",
867 "d6b2f738e3873cc8364a2d364038ce7d0798bb092e3dd77cbdae7c263ba618d2",
868 ),
869 true,
870 )
871 }
872
873 fn vector_public_key_validation_9() -> (Vec<u8>, bool) {
874 (
875 parse_public_key_as_compressed_vector(
876 "14bf57f76c260b51ec6bbc72dbd49f02a56eaed070b774dc4bad75a54653c3d56",
877 "7a231a23bf8b3aa31d9600d888a0678677a30e573decd3dc56b33f365cc11236",
878 ),
879 false, )
881 }
882
883 fn vector_public_key_validation_10() -> (Vec<u8>, bool) {
884 (
885 parse_public_key_as_compressed_vector(
886 "2fa74931ae816b426f484180e517f5050c92decfc8daf756cd91f54d51b302f1",
887 "5b994346137988c58c14ae2152ac2f6ad96d97decb33099bd8a0210114cd1141",
888 ),
889 true,
890 )
891 }
892
893 fn vector_public_key_validation_12() -> (Vec<u8>, bool) {
894 (
895 parse_public_key_as_compressed_vector(
896 "7a81a7e0b015252928d8b36e4ca37e92fdc328eb25c774b4f872693028c4be38",
897 "08862f7335147261e7b1c3d055f9a316e4cab7daf99cc09d1c647f5dd6e7d5bb",
898 ),
899 false, )
901 }
902
903 fn vector_sig_verification_1() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
904 let (public_key, sig, message) = parse_vector_sig_verification(
905 "87f8f2b218f49845f6f10eec3877136269f5c1a54736dbdf69f89940cad41555",
906 "e15f369036f49842fac7a86c8a2b0557609776814448b8f5e84aa9f4395205e9",
907 "d19ff48b324915576416097d2544f7cbdf8768b1454ad20e0baac50e211f23b0",
908 "a3e81e59311cdfff2d4784949f7a2cb50ba6c3a91fa54710568e61aca3e847c6",
909 "e4796db5f785f207aa30d311693b3702821dff1168fd2e04c0836825aefd850d9aa60326d88cde1a23c7
910 745351392ca2288d632c264f197d05cd424a30336c19fd09bb229654f0222fcb881a4b35c290a093ac159ce1
911 3409111ff0358411133c24f5b8e2090d6db6558afc36f06ca1f6ef779785adba68db27a409859fc4c4a0",
912 );
913 (public_key, sig, message, false)
914 }
915
916 fn vector_sig_verification_2() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
917 let (public_key, sig, message) = parse_vector_sig_verification(
918 "5cf02a00d205bdfee2016f7421807fc38ae69e6b7ccd064ee689fc1a94a9f7d2",
919 "ec530ce3cc5c9d1af463f264d685afe2b4db4b5828d7e61b748930f3ce622a85",
920 "dc23d130c6117fb5751201455e99f36f59aba1a6a21cf2d0e7481a97451d6693",
921 "d6ce7708c18dbf35d4f8aa7240922dc6823f2e7058cbc1484fcad1599db5018c",
922 "069a6e6b93dfee6df6ef6997cd80dd2182c36653cef10c655d524585655462d683877f95ecc6d6c81623
923 d8fac4e900ed0019964094e7de91f1481989ae1873004565789cbf5dc56c62aedc63f62f3b894c9c6f7788c8
924 ecaadc9bd0e81ad91b2b3569ea12260e93924fdddd3972af5273198f5efda0746219475017557616170e",
925 );
926 (public_key, sig, message, false)
927 }
928
929 fn vector_sig_verification_3() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
930 let (public_key, sig, message) = parse_vector_sig_verification(
931 "2ddfd145767883ffbb0ac003ab4a44346d08fa2570b3120dcce94562422244cb",
932 "5f70c7d11ac2b7a435ccfbbae02c3df1ea6b532cc0e9db74f93fffca7c6f9a64",
933 "9913111cff6f20c5bf453a99cd2c2019a4e749a49724a08774d14e4c113edda8",
934 "9467cd4cd21ecb56b0cab0a9a453b43386845459127a952421f5c6382866c5cc",
935 "df04a346cf4d0e331a6db78cca2d456d31b0a000aa51441defdb97bbeb20b94d8d746429a393ba88840d
936 661615e07def615a342abedfa4ce912e562af714959896858af817317a840dcff85a057bb91a3c2bf9010550
937 0362754a6dd321cdd86128cfc5f04667b57aa78c112411e42da304f1012d48cd6a7052d7de44ebcc01de",
938 );
939 (public_key, sig, message, false)
940 }
941
942 fn vector_sig_verification_4() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
943 let (public_key, sig, message) = parse_vector_sig_verification(
944 "e424dc61d4bb3cb7ef4344a7f8957a0c5134e16f7a67c074f82e6e12f49abf3c",
945 "970eed7aa2bc48651545949de1dddaf0127e5965ac85d1243d6f60e7dfaee927",
946 "bf96b99aa49c705c910be33142017c642ff540c76349b9dab72f981fd9347f4f",
947 "17c55095819089c2e03b9cd415abdf12444e323075d98f31920b9e0f57ec871c",
948 "e1130af6a38ccb412a9c8d13e15dbfc9e69a16385af3c3f1e5da954fd5e7c45fd75e2b8c36699228e928
949 40c0562fbf3772f07e17f1add56588dd45f7450e1217ad239922dd9c32695dc71ff2424ca0dec1321aa47064
950 a044b7fe3c2b97d03ce470a592304c5ef21eed9f93da56bb232d1eeb0035f9bf0dfafdcc4606272b20a3",
951 );
952 (public_key, sig, message, true)
953 }
954
955 fn vector_sig_verification_5() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
956 let (public_key, sig, message) = parse_vector_sig_verification(
957 "e0fc6a6f50e1c57475673ee54e3a57f9a49f3328e743bf52f335e3eeaa3d2864",
958 "7f59d689c91e463607d9194d99faf316e25432870816dde63f5d4b373f12f22a",
959 "1d75830cd36f4c9aa181b2c4221e87f176b7f05b7c87824e82e396c88315c407",
960 "cb2acb01dac96efc53a32d4a0d85d0c2e48955214783ecf50a4f0414a319c05a",
961 "73c5f6a67456ae48209b5f85d1e7de7758bf235300c6ae2bdceb1dcb27a7730fb68c950b7fcada0ecc46
962 61d3578230f225a875e69aaa17f1e71c6be5c831f22663bac63d0c7a9635edb0043ff8c6f26470f02a7bc565
963 56f1437f06dfa27b487a6c4290d8bad38d4879b334e341ba092dde4e4ae694a9c09302e2dbf443581c08",
964 );
965 (public_key, sig, message, true)
967 }
968
969 fn vector_sig_verification_6() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
970 let (public_key, sig, message) = parse_vector_sig_verification(
971 "a849bef575cac3c6920fbce675c3b787136209f855de19ffe2e8d29b31a5ad86",
972 "bf5fe4f7858f9b805bd8dcc05ad5e7fb889de2f822f3d8b41694e6c55c16b471",
973 "25acc3aa9d9e84c7abf08f73fa4195acc506491d6fc37cb9074528a7db87b9d6",
974 "9b21d5b5259ed3f2ef07dfec6cc90d3a37855d1ce122a85ba6a333f307d31537",
975 "666036d9b4a2426ed6585a4e0fd931a8761451d29ab04bd7dc6d0c5b9e38e6c2b263ff6cb837bd04399d
976 e3d757c6c7005f6d7a987063cf6d7e8cb38a4bf0d74a282572bd01d0f41e3fd066e3021575f0fa04f27b700d
977 5b7ddddf50965993c3f9c7118ed78888da7cb221849b3260592b8e632d7c51e935a0ceae15207bedd548",
978 );
979 (public_key, sig, message, false)
980 }
981
982 fn vector_sig_verification_7() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
983 let (public_key, sig, message) = parse_vector_sig_verification(
984 "3dfb6f40f2471b29b77fdccba72d37c21bba019efa40c1c8f91ec405d7dcc5df",
985 "f22f953f1e395a52ead7f3ae3fc47451b438117b1e04d613bc8555b7d6e6d1bb",
986 "548886278e5ec26bed811dbb72db1e154b6f17be70deb1b210107decb1ec2a5a",
987 "e93bfebd2f14f3d827ca32b464be6e69187f5edbd52def4f96599c37d58eee75",
988 "7e80436bce57339ce8da1b5660149a20240b146d108deef3ec5da4ae256f8f894edcbbc57b34ce37089c
989 0daa17f0c46cd82b5a1599314fd79d2fd2f446bd5a25b8e32fcf05b76d644573a6df4ad1dfea707b479d9723
990 7a346f1ec632ea5660efb57e8717a8628d7f82af50a4e84b11f21bdff6839196a880ae20b2a0918d58cd",
991 );
992 (public_key, sig, message, false)
993 }
994
995 fn vector_sig_verification_8() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
996 let (public_key, sig, message) = parse_vector_sig_verification(
997 "69b7667056e1e11d6caf6e45643f8b21e7a4bebda463c7fdbc13bc98efbd0214",
998 "d3f9b12eb46c7c6fda0da3fc85bc1fd831557f9abc902a3be3cb3e8be7d1aa2f",
999 "288f7a1cd391842cce21f00e6f15471c04dc182fe4b14d92dc18910879799790",
1000 "247b3c4e89a3bcadfea73c7bfd361def43715fa382b8c3edf4ae15d6e55e9979",
1001 "1669bfb657fdc62c3ddd63269787fc1c969f1850fb04c933dda063ef74a56ce13e3a649700820f0061ef
1002 abf849a85d474326c8a541d99830eea8131eaea584f22d88c353965dabcdc4bf6b55949fd529507dfb803ab6
1003 b480cd73ca0ba00ca19c438849e2cea262a1c57d8f81cd257fb58e19dec7904da97d8386e87b84948169",
1004 );
1005 (public_key, sig, message, false)
1006 }
1007
1008 fn vector_sig_verification_9() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1009 let (public_key, sig, message) = parse_vector_sig_verification(
1010 "bf02cbcf6d8cc26e91766d8af0b164fc5968535e84c158eb3bc4e2d79c3cc682",
1011 "069ba6cb06b49d60812066afa16ecf7b51352f2c03bd93ec220822b1f3dfba03",
1012 "f5acb06c59c2b4927fb852faa07faf4b1852bbb5d06840935e849c4d293d1bad",
1013 "049dab79c89cc02f1484c437f523e080a75f134917fda752f2d5ca397addfe5d",
1014 "3fe60dd9ad6caccf5a6f583b3ae65953563446c4510b70da115ffaa0ba04c076115c7043ab8733403cd6
1015 9c7d14c212c655c07b43a7c71b9a4cffe22c2684788ec6870dc2013f269172c822256f9e7cc674791bf2d848
1016 6c0f5684283e1649576efc982ede17c7b74b214754d70402fb4bb45ad086cf2cf76b3d63f7fce39ac970",
1017 );
1018 (public_key, sig, message, false)
1019 }
1020
1021 fn vector_sig_verification_10() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1022 let (public_key, sig, message) = parse_vector_sig_verification(
1023 "224a4d65b958f6d6afb2904863efd2a734b31798884801fcab5a590f4d6da9de",
1024 "178d51fddada62806f097aa615d33b8f2404e6b1479f5fd4859d595734d6d2b9",
1025 "87b93ee2fecfda54deb8dff8e426f3c72c8864991f8ec2b3205bb3b416de93d2",
1026 "4044a24df85be0cc76f21a4430b75b8e77b932a87f51e4eccbc45c263ebf8f66",
1027 "983a71b9994d95e876d84d28946a041f8f0a3f544cfcc055496580f1dfd4e312a2ad418fe69dbc61db23
1028 0cc0c0ed97e360abab7d6ff4b81ee970a7e97466acfd9644f828ffec538abc383d0e92326d1c88c55e1f46a6
1029 68a039beaa1be631a89129938c00a81a3ae46d4aecbf9707f764dbaccea3ef7665e4c4307fa0b0a3075c",
1030 );
1031 (public_key, sig, message, false)
1032 }
1033
1034 fn vector_sig_verification_11() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1035 let (public_key, sig, message) = parse_vector_sig_verification(
1036 "43691c7795a57ead8c5c68536fe934538d46f12889680a9cb6d055a066228369",
1037 "f8790110b3c3b281aa1eae037d4f1234aff587d903d93ba3af225c27ddc9ccac",
1038 "8acd62e8c262fa50dd9840480969f4ef70f218ebf8ef9584f199031132c6b1ce",
1039 "cfca7ed3d4347fb2a29e526b43c348ae1ce6c60d44f3191b6d8ea3a2d9c92154",
1040 "4a8c071ac4fd0d52faa407b0fe5dab759f7394a5832127f2a3498f34aac287339e043b4ffa79528faf19
1041 9dc917f7b066ad65505dab0e11e6948515052ce20cfdb892ffb8aa9bf3f1aa5be30a5bbe85823bddf70b39fd
1042 7ebd4a93a2f75472c1d4f606247a9821f1a8c45a6cb80545de2e0c6c0174e2392088c754e9c8443eb5af",
1043 );
1044 (public_key, sig, message, false)
1045 }
1046
1047 fn vector_sig_verification_12() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1048 let (public_key, sig, message) = parse_vector_sig_verification(
1049 "9157dbfcf8cf385f5bb1568ad5c6e2a8652ba6dfc63bc1753edf5268cb7eb596",
1050 "972570f4313d47fc96f7c02d5594d77d46f91e949808825b3d31f029e8296405",
1051 "dfaea6f297fa320b707866125c2a7d5d515b51a503bee817de9faa343cc48eeb",
1052 "8f780ad713f9c3e5a4f7fa4c519833dfefc6a7432389b1e4af463961f09764f2",
1053 "0a3a12c3084c865daf1d302c78215d39bfe0b8bf28272b3c0b74beb4b7409db0718239de700785581514
1054 321c6440a4bbaea4c76fa47401e151e68cb6c29017f0bce4631290af5ea5e2bf3ed742ae110b04ade83a5dbd
1055 7358f29a85938e23d87ac8233072b79c94670ff0959f9c7f4517862ff829452096c78f5f2e9a7e4e9216",
1056 );
1057 (public_key, sig, message, false)
1058 }
1059
1060 fn vector_sig_verification_13() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1061 let (public_key, sig, message) = parse_vector_sig_verification(
1062 "072b10c081a4c1713a294f248aef850e297991aca47fa96a7470abe3b8acfdda",
1063 "9581145cca04a0fb94cedce752c8f0370861916d2a94e7c647c5373ce6a4c8f5",
1064 "09f5483eccec80f9d104815a1be9cc1a8e5b12b6eb482a65c6907b7480cf4f19",
1065 "a4f90e560c5e4eb8696cb276e5165b6a9d486345dedfb094a76e8442d026378d",
1066 "785d07a3c54f63dca11f5d1a5f496ee2c2f9288e55007e666c78b007d95cc28581dce51f490b30fa73dc
1067 9e2d45d075d7e3a95fb8a9e1465ad191904124160b7c60fa720ef4ef1c5d2998f40570ae2a870ef3e894c2bc
1068 617d8a1dc85c3c55774928c38789b4e661349d3f84d2441a3b856a76949b9f1f80bc161648a1cad5588e",
1069 );
1070 (public_key, sig, message, false)
1071 }
1072
1073 fn vector_sig_verification_14() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1074 let (public_key, sig, message) = parse_vector_sig_verification(
1075 "09308ea5bfad6e5adf408634b3d5ce9240d35442f7fe116452aaec0d25be8c24",
1076 "f40c93e023ef494b1c3079b2d10ef67f3170740495ce2cc57f8ee4b0618b8ee5",
1077 "5cc8aa7c35743ec0c23dde88dabd5e4fcd0192d2116f6926fef788cddb754e73",
1078 "9c9c045ebaa1b828c32f82ace0d18daebf5e156eb7cbfdc1eff4399a8a900ae7",
1079 "76f987ec5448dd72219bd30bf6b66b0775c80b394851a43ff1f537f140a6e7229ef8cd72ad58b1d2d202
1080 98539d6347dd5598812bc65323aceaf05228f738b5ad3e8d9fe4100fd767c2f098c77cb99c2992843ba3eed9
1081 1d32444f3b6db6cd212dd4e5609548f4bb62812a920f6e2bf1581be1ebeebdd06ec4e971862cc42055ca",
1082 );
1083 (public_key, sig, message, false)
1084 }
1085
1086 fn vector_sig_verification_15() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1087 let (public_key, sig, message) = parse_vector_sig_verification(
1088 "2d98ea01f754d34bbc3003df5050200abf445ec728556d7ed7d5c54c55552b6d",
1089 "9b52672742d637a32add056dfd6d8792f2a33c2e69dafabea09b960bc61e230a",
1090 "06108e525f845d0155bf60193222b3219c98e3d49424c2fb2a0987f825c17959",
1091 "62b5cdd591e5b507e560167ba8f6f7cda74673eb315680cb89ccbc4eec477dce",
1092 "60cd64b2cd2be6c33859b94875120361a24085f3765cb8b2bf11e026fa9d8855dbe435acf7882e84f3c7
1093 857f96e2baab4d9afe4588e4a82e17a78827bfdb5ddbd1c211fbc2e6d884cddd7cb9d90d5bf4a7311b83f352
1094 508033812c776a0e00c003c7e0d628e50736c7512df0acfa9f2320bd102229f46495ae6d0857cc452a84",
1095 );
1096 (public_key, sig, message, true)
1097 }
1098}