commonware_cryptography/secp256r1/
scheme.rs

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; // Y-Parity || X
24const SIGNATURE_LENGTH: usize = 64; // R || S
25
26/// Secp256r1 Private Key.
27#[derive(Clone, Eq, PartialEq, Zeroize, ZeroizeOnDrop)]
28pub struct PrivateKey {
29    raw: [u8; PRIVATE_KEY_LENGTH],
30    // `ZeroizeOnDrop` is implemented for `SigningKey` and can't be called directly.
31    //
32    // Reference: https://github.com/RustCrypto/signatures/blob/a83c494216b6f3dacba5d4e4376785e2ea142044/ecdsa/src/signing.rs#L487-L493
33    #[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/// Secp256r1 Public Key.
147#[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/// Secp256r1 Signature.
241#[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            // Reject any signatures with a `s` value in the upper half of the curve order.
264            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/// Test vectors sourced from (FIPS 186-4)
327/// https://csrc.nist.gov/projects/cryptographic-algorithm-validation-program/digital-signatures.
328#[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; // force S into upper range
485        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        // ensure S component is non-zero
498        bad_signature[32] = 1;
499        assert!(Signature::decode(bad_signature.as_ref()).is_err());
500    }
501
502    // Ensure RFC6979 compliance (should also be tested by underlying library)
503    #[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        // Invalid
550        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        // Too long
555        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        // Valid
561        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        // Generate bad signature
569        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        // Try to parse signature
584        assert!(Signature::decode(signature.as_ref()).is_err());
585    }
586
587    #[test]
588    fn test_scheme_verify_signature_s0() {
589        // Generate bad signature
590        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        // Try to parse signature
606        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        // We use SEC 1-encoded public keys (only include y-parity) whereas vectors
635        // assume public keys are uncompressed (both x and y packed in encoding).
636        //
637        // For this reason, test vector 2 (y out of range) and 11 (y not on curve) are skipped.
638        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                    // Valid signatures not normalized must be considered invalid.
684                    assert!(Signature::decode(sig.as_ref()).is_err());
685                    assert!(Signature::decode(Bytes::from(sig)).is_err());
686
687                    // Normalizing sig to test its validity.
688                    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                    // The parsing should fail
699                    true
700                } else {
701                    // Or the validation should fail
702                    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, // x out of range
808        )
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, // point not on the curve
818        )
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, // x out of range
828        )
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, // point not on the curve
848        )
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, // x out of range
868        )
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, // point not on the curve
888        )
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        // Valid vector we switch to invalid as the signature is not normalized.
954        (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}