commonware_cryptography/secp256r1/
scheme.rs

1use crate::{Array, Signer as CommonwareSigner, Specification, Verifier as CommonwareVerifier};
2use bytes::{Buf, BufMut};
3use commonware_codec::{Error as CodecError, FixedSize, Read, ReadExt, Write};
4use commonware_utils::{hex, union_unique};
5use p256::{
6    ecdsa::{
7        signature::{Signer, Verifier},
8        SigningKey, VerifyingKey,
9    },
10    elliptic_curve::scalar::IsHigh,
11};
12use rand::{CryptoRng, Rng};
13use std::{
14    borrow::Cow,
15    fmt::{Debug, Display},
16    hash::{Hash, Hasher},
17    ops::Deref,
18};
19
20const CURVE_NAME: &str = "secp256r1";
21const PRIVATE_KEY_LENGTH: usize = 32;
22const PUBLIC_KEY_LENGTH: usize = 33; // Y-Parity || X
23const SIGNATURE_LENGTH: usize = 64; // R || S
24
25/// Secp256r1 Signer.
26#[derive(Clone)]
27pub struct Secp256r1 {
28    signer: SigningKey,
29    verifier: VerifyingKey,
30}
31
32impl Specification for Secp256r1 {
33    type PublicKey = PublicKey;
34    type Signature = Signature;
35}
36
37impl CommonwareVerifier for Secp256r1 {
38    fn verify(
39        namespace: Option<&[u8]>,
40        message: &[u8],
41        public_key: &PublicKey,
42        signature: &Signature,
43    ) -> bool {
44        let payload = match namespace {
45            Some(namespace) => Cow::Owned(union_unique(namespace, message)),
46            None => Cow::Borrowed(message),
47        };
48        public_key
49            .key
50            .verify(&payload, &signature.signature)
51            .is_ok()
52    }
53}
54
55impl CommonwareSigner for Secp256r1 {
56    type PrivateKey = PrivateKey;
57
58    fn new<R: CryptoRng + Rng>(r: &mut R) -> Self {
59        let signer = SigningKey::random(r);
60        let verifier = signer.verifying_key().to_owned();
61        Self { signer, verifier }
62    }
63
64    fn from(private_key: PrivateKey) -> Option<Self> {
65        let signer = private_key.key;
66        let verifier = signer.verifying_key().to_owned();
67        Some(Self { signer, verifier })
68    }
69
70    fn private_key(&self) -> PrivateKey {
71        PrivateKey::from(self.signer.clone())
72    }
73
74    fn public_key(&self) -> PublicKey {
75        PublicKey::from(self.verifier)
76    }
77
78    fn sign(&mut self, namespace: Option<&[u8]>, message: &[u8]) -> Signature {
79        let signature: p256::ecdsa::Signature = match namespace {
80            Some(namespace) => self.signer.sign(&union_unique(namespace, message)),
81            None => self.signer.sign(message),
82        };
83        let signature = match signature.normalize_s() {
84            Some(normalized) => normalized,
85            None => signature,
86        };
87        Signature::from(signature)
88    }
89}
90
91/// Secp256r1 Private Key.
92#[derive(Clone, Eq, PartialEq)]
93pub struct PrivateKey {
94    raw: [u8; PRIVATE_KEY_LENGTH],
95    key: SigningKey,
96}
97
98impl Write for PrivateKey {
99    fn write(&self, buf: &mut impl BufMut) {
100        self.raw.write(buf);
101    }
102}
103
104impl Read for PrivateKey {
105    fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
106        let raw = <[u8; Self::SIZE]>::read(buf)?;
107        let key =
108            SigningKey::from_slice(&raw).map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
109        Ok(Self { raw, key })
110    }
111}
112
113impl FixedSize for PrivateKey {
114    const SIZE: usize = PRIVATE_KEY_LENGTH;
115}
116
117impl Array for PrivateKey {}
118
119impl Hash for PrivateKey {
120    fn hash<H: Hasher>(&self, state: &mut H) {
121        self.raw.hash(state);
122    }
123}
124
125impl Ord for PrivateKey {
126    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
127        self.raw.cmp(&other.raw)
128    }
129}
130
131impl PartialOrd for PrivateKey {
132    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
133        Some(self.cmp(other))
134    }
135}
136
137impl AsRef<[u8]> for PrivateKey {
138    fn as_ref(&self) -> &[u8] {
139        &self.raw
140    }
141}
142
143impl Deref for PrivateKey {
144    type Target = [u8];
145    fn deref(&self) -> &[u8] {
146        &self.raw
147    }
148}
149
150impl From<SigningKey> for PrivateKey {
151    fn from(signer: SigningKey) -> Self {
152        let raw = signer.to_bytes().into();
153        Self { raw, key: signer }
154    }
155}
156
157impl Debug for PrivateKey {
158    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
159        write!(f, "{}", hex(&self.raw))
160    }
161}
162
163impl Display for PrivateKey {
164    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
165        write!(f, "{}", hex(&self.raw))
166    }
167}
168
169/// Secp256r1 Public Key.
170#[derive(Clone, Eq, PartialEq, Ord, PartialOrd)]
171pub struct PublicKey {
172    raw: [u8; PUBLIC_KEY_LENGTH],
173    key: VerifyingKey,
174}
175
176impl Write for PublicKey {
177    fn write(&self, buf: &mut impl BufMut) {
178        self.raw.write(buf);
179    }
180}
181
182impl Read for PublicKey {
183    fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
184        let raw = <[u8; PUBLIC_KEY_LENGTH]>::read(buf)?;
185        let key = VerifyingKey::from_sec1_bytes(&raw)
186            .map_err(|_| CodecError::Invalid(CURVE_NAME, "Invalid PublicKey"))?;
187        Ok(Self { raw, key })
188    }
189}
190
191impl FixedSize for PublicKey {
192    const SIZE: usize = PUBLIC_KEY_LENGTH;
193}
194
195impl Array for PublicKey {}
196
197impl Hash for PublicKey {
198    fn hash<H: Hasher>(&self, state: &mut H) {
199        self.raw.hash(state);
200    }
201}
202
203impl AsRef<[u8]> for PublicKey {
204    fn as_ref(&self) -> &[u8] {
205        &self.raw
206    }
207}
208
209impl Deref for PublicKey {
210    type Target = [u8];
211    fn deref(&self) -> &[u8] {
212        &self.raw
213    }
214}
215
216impl From<VerifyingKey> for PublicKey {
217    fn from(verifier: VerifyingKey) -> Self {
218        let encoded = verifier.to_encoded_point(true);
219        let raw: [u8; PUBLIC_KEY_LENGTH] = encoded.as_bytes().try_into().unwrap();
220        Self { raw, key: verifier }
221    }
222}
223
224impl Debug for PublicKey {
225    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
226        write!(f, "{}", hex(&self.raw))
227    }
228}
229
230impl Display for PublicKey {
231    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
232        write!(f, "{}", hex(&self.raw))
233    }
234}
235
236/// Secp256r1 Signature.
237#[derive(Clone, Eq, PartialEq)]
238pub struct Signature {
239    raw: [u8; SIGNATURE_LENGTH],
240    signature: p256::ecdsa::Signature,
241}
242
243impl Write for Signature {
244    fn write(&self, buf: &mut impl BufMut) {
245        self.raw.write(buf);
246    }
247}
248
249impl Read for Signature {
250    fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
251        let raw = <[u8; Self::SIZE]>::read(buf)?;
252        let signature = p256::ecdsa::Signature::from_slice(&raw)
253            .map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
254        if signature.s().is_high().into() {
255            // Reject any signatures with a `s` value in the upper half of the curve order.
256            return Err(CodecError::Invalid(CURVE_NAME, "Signature S is high"));
257        }
258        Ok(Self { raw, signature })
259    }
260}
261
262impl FixedSize for Signature {
263    const SIZE: usize = SIGNATURE_LENGTH;
264}
265
266impl Array for Signature {}
267
268impl Hash for Signature {
269    fn hash<H: Hasher>(&self, state: &mut H) {
270        self.raw.hash(state);
271    }
272}
273
274impl Ord for Signature {
275    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
276        self.raw.cmp(&other.raw)
277    }
278}
279
280impl PartialOrd for Signature {
281    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
282        Some(self.cmp(other))
283    }
284}
285
286impl AsRef<[u8]> for Signature {
287    fn as_ref(&self) -> &[u8] {
288        &self.raw
289    }
290}
291
292impl Deref for Signature {
293    type Target = [u8];
294    fn deref(&self) -> &[u8] {
295        &self.raw
296    }
297}
298
299impl From<p256::ecdsa::Signature> for Signature {
300    fn from(signature: p256::ecdsa::Signature) -> Self {
301        let raw = signature.to_bytes().into();
302        Self { raw, signature }
303    }
304}
305
306impl Debug for Signature {
307    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
308        write!(f, "{}", hex(&self.raw))
309    }
310}
311
312impl Display for Signature {
313    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
314        write!(f, "{}", hex(&self.raw))
315    }
316}
317
318/// Test vectors sourced from (FIPS 186-4)
319/// https://csrc.nist.gov/projects/cryptographic-algorithm-validation-program/digital-signatures.
320#[cfg(test)]
321mod tests {
322    use super::*;
323    use bytes::Bytes;
324    use commonware_codec::{DecodeExt, Encode};
325
326    fn create_private_key() -> PrivateKey {
327        const HEX: &str = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
328        PrivateKey::decode(commonware_utils::from_hex_formatted(HEX).unwrap().as_ref()).unwrap()
329    }
330
331    fn parse_vector_keypair(private_key: &str, qx: &str, qy: &str) -> (PrivateKey, PublicKey) {
332        let public_key = parse_public_key_as_compressed(qx, qy);
333        (
334            PrivateKey::decode(
335                commonware_utils::from_hex_formatted(private_key)
336                    .unwrap()
337                    .as_ref(),
338            )
339            .unwrap(),
340            public_key,
341        )
342    }
343
344    fn parse_vector_sig_verification(
345        qx: &str,
346        qy: &str,
347        r: &str,
348        s: &str,
349        m: &str,
350    ) -> (PublicKey, Vec<u8>, Vec<u8>) {
351        let public_key = parse_public_key_as_compressed(qx, qy);
352        let signature = parse_signature(r, s);
353        let message = commonware_utils::from_hex_formatted(m).unwrap();
354        (public_key, signature, message)
355    }
356
357    fn parse_signature(r: &str, s: &str) -> Vec<u8> {
358        let vec_r = commonware_utils::from_hex_formatted(r).unwrap();
359        let vec_s = commonware_utils::from_hex_formatted(s).unwrap();
360        let f1 = p256::FieldBytes::from_slice(&vec_r);
361        let f2 = p256::FieldBytes::from_slice(&vec_s);
362        let s = p256::ecdsa::Signature::from_scalars(*f1, *f2).unwrap();
363        s.to_vec()
364    }
365
366    fn parse_public_key_as_compressed(qx: &str, qy: &str) -> PublicKey {
367        PublicKey::decode(parse_public_key_as_compressed_vector(qx, qy).as_ref()).unwrap()
368    }
369
370    fn parse_public_key_as_compressed_vector(qx: &str, qy: &str) -> Vec<u8> {
371        let qx = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qx)).unwrap();
372        let qy = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qy)).unwrap();
373        let mut compressed = Vec::with_capacity(qx.len() + 1);
374        if qy.last().unwrap() % 2 == 0 {
375            compressed.push(0x02);
376        } else {
377            compressed.push(0x03);
378        }
379        compressed.extend_from_slice(&qx);
380        compressed
381    }
382
383    fn parse_public_key_as_uncompressed_vector(qx: &str, qy: &str) -> Vec<u8> {
384        let qx = commonware_utils::from_hex_formatted(qx).unwrap();
385        let qy = commonware_utils::from_hex_formatted(qy).unwrap();
386        let mut uncompressed_public_key = Vec::with_capacity(65);
387        uncompressed_public_key.push(0x04);
388        uncompressed_public_key.extend_from_slice(&qx);
389        uncompressed_public_key.extend_from_slice(&qy);
390        uncompressed_public_key
391    }
392
393    fn padding_odd_length_hex(value: &str) -> String {
394        if value.len() % 2 != 0 {
395            return format!("0{}", value);
396        }
397        value.to_string()
398    }
399
400    #[test]
401    fn test_codec_private_key() {
402        let original: PrivateKey = create_private_key();
403        let encoded = original.encode();
404        assert_eq!(encoded.len(), PRIVATE_KEY_LENGTH);
405
406        let decoded = PrivateKey::decode(encoded).unwrap();
407        assert_eq!(original, decoded);
408    }
409
410    #[test]
411    fn test_codec_public_key() {
412        let private_key = create_private_key();
413        let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
414        let original: PublicKey = signer.public_key();
415
416        let encoded = original.encode();
417        assert_eq!(encoded.len(), PUBLIC_KEY_LENGTH);
418
419        let decoded = PublicKey::decode(encoded).unwrap();
420        assert_eq!(original, decoded);
421    }
422
423    #[test]
424    fn test_codec_signature() {
425        let private_key = create_private_key();
426        let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
427        let original = signer.sign(None, "Hello World".as_bytes());
428
429        let encoded = original.encode();
430        assert_eq!(encoded.len(), SIGNATURE_LENGTH);
431
432        let decoded = Signature::decode(encoded).unwrap();
433        assert_eq!(original, decoded);
434    }
435
436    #[test]
437    fn test_codec_signature_invalid() {
438        let (_, sig, ..) = vector_sig_verification_5();
439        let result = Signature::decode(Bytes::from(sig));
440        assert!(result.is_err());
441    }
442
443    #[test]
444    fn test_scheme_sign() {
445        let private_key: PrivateKey = PrivateKey::decode(
446            commonware_utils::from_hex_formatted(
447                "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464",
448            )
449            .unwrap()
450            .as_ref(),
451        )
452        .unwrap();
453        let message = commonware_utils::from_hex_formatted(
454            "5905238877c77421f73e43ee3da6f2d9e2ccad5fc942dcec0cbd25482935faaf416983fe165b1a045e
455            e2bcd2e6dca3bdf46c4310a7461f9a37960ca672d3feb5473e253605fb1ddfd28065b53cb5858a8ad28175bf
456            9bd386a5e471ea7a65c17cc934a9d791e91491eb3754d03799790fe2d308d16146d5c9b0d0debd97d79ce8",
457        )
458        .unwrap();
459        let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
460        let signature = signer.sign(None, &message);
461        assert_eq!(SIGNATURE_LENGTH, signature.len());
462        assert!(Secp256r1::verify(
463            None,
464            &message,
465            &signer.public_key(),
466            &signature
467        ));
468    }
469
470    #[test]
471    fn test_scheme_private_key() {
472        let private_key_hex = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
473        let private_key: PrivateKey = PrivateKey::decode(
474            commonware_utils::from_hex_formatted(private_key_hex)
475                .unwrap()
476                .as_ref(),
477        )
478        .unwrap();
479        let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
480        let exported_private_key = signer.private_key();
481        assert_eq!(
482            private_key_hex,
483            commonware_utils::hex(&exported_private_key).as_str(),
484        );
485    }
486
487    // Ensure RFC6979 compliance (should also be tested by underlying library)
488    #[test]
489    fn test_rfc6979() {
490        let private_key: PrivateKey = PrivateKey::decode(
491            commonware_utils::from_hex_formatted(
492                "c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721",
493            )
494            .unwrap()
495            .as_ref(),
496        )
497        .unwrap();
498
499        let (message, exp_sig) = (
500            b"sample",
501            p256::ecdsa::Signature::from_slice(
502                &commonware_utils::from_hex_formatted(
503                    "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716
504                    f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8",
505                )
506                .unwrap(),
507            )
508            .unwrap(),
509        );
510        let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
511        let signature = signer.sign(None, message);
512        assert_eq!(signature.to_vec(), exp_sig.normalize_s().unwrap().to_vec());
513
514        let (message, exp_sig) = (
515            b"test",
516            p256::ecdsa::Signature::from_slice(
517                &commonware_utils::from_hex_formatted(
518                    "f1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367
519                    019f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083",
520                )
521                .unwrap(),
522            )
523            .unwrap(),
524        );
525
526        let signature = signer.sign(None, message);
527        assert_eq!(signature.to_vec(), exp_sig.to_vec());
528    }
529
530    #[test]
531    fn test_scheme_validate_public_key_too_long() {
532        let qx_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
533        let qy_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
534
535        // Invalid
536        let uncompressed_public_key = parse_public_key_as_uncompressed_vector(qx_hex, qy_hex);
537        let public_key =
538            <Secp256r1 as Specification>::PublicKey::decode(uncompressed_public_key.as_ref());
539        assert!(matches!(public_key, Err(CodecError::Invalid(_, _))));
540
541        // Too long
542        let mut compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
543        compressed_public_key.push(0u8);
544        let public_key =
545            <Secp256r1 as Specification>::PublicKey::decode(compressed_public_key.as_ref());
546        assert!(matches!(public_key, Err(CodecError::ExtraData(1))));
547
548        // Valid
549        let compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
550        let public_key =
551            <Secp256r1 as Specification>::PublicKey::decode(compressed_public_key.as_ref());
552        assert!(public_key.is_ok());
553    }
554
555    #[test]
556    fn test_scheme_verify_signature_r0() {
557        // Generate bad signature
558        let private_key: PrivateKey = PrivateKey::decode(
559            commonware_utils::from_hex_formatted(
560                "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
561            )
562            .unwrap()
563            .as_ref(),
564        )
565        .unwrap();
566        let message = b"sample";
567        let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
568        let signature = signer.sign(None, message);
569        let (_, s) = signature.split_at(32);
570        let mut signature: Vec<u8> = vec![0x00; 32];
571        signature.extend_from_slice(s);
572
573        // Try to parse signature
574        assert!(Signature::decode(signature.as_ref()).is_err());
575    }
576
577    #[test]
578    fn test_scheme_verify_signature_s0() {
579        // Generate bad signature
580        let private_key: PrivateKey = PrivateKey::decode(
581            commonware_utils::from_hex_formatted(
582                "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
583            )
584            .unwrap()
585            .as_ref(),
586        )
587        .unwrap();
588        let message = b"sample";
589        let mut signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
590        let signature = signer.sign(None, message);
591        let (r, _) = signature.split_at(32);
592        let s: Vec<u8> = vec![0x00; 32];
593        let mut signature = r.to_vec();
594        signature.extend(s);
595
596        // Try to parse signature
597        assert!(Signature::decode(signature.as_ref()).is_err());
598    }
599
600    #[test]
601    fn test_keypairs() {
602        let cases = [
603            vector_keypair_1(),
604            vector_keypair_2(),
605            vector_keypair_3(),
606            vector_keypair_4(),
607            vector_keypair_5(),
608            vector_keypair_6(),
609            vector_keypair_7(),
610            vector_keypair_8(),
611            vector_keypair_9(),
612            vector_keypair_10(),
613        ];
614
615        for (index, test) in cases.into_iter().enumerate() {
616            let (private_key, exp_public_key) = test;
617            let signer = <Secp256r1 as CommonwareSigner>::from(private_key).unwrap();
618            assert_eq!(
619                exp_public_key,
620                signer.public_key(),
621                "vector_keypair_{}",
622                index + 1
623            );
624            assert!(signer.public_key().len() == PUBLIC_KEY_LENGTH);
625        }
626    }
627
628    #[test]
629    fn test_public_key_validation() {
630        // We use SEC 1-encoded public keys (only include y-parity) whereas vectors
631        // assume public keys are uncompressed (both x and y packed in encoding).
632        //
633        // For this reason, test vector 2 (y out of range) and 11 (y not on curve) are skipped.
634        let cases = [
635            (1, vector_public_key_validation_1()),
636            (3, vector_public_key_validation_3()),
637            (4, vector_public_key_validation_4()),
638            (5, vector_public_key_validation_5()),
639            (6, vector_public_key_validation_6()),
640            (7, vector_public_key_validation_7()),
641            (8, vector_public_key_validation_8()),
642            (9, vector_public_key_validation_9()),
643            (10, vector_public_key_validation_10()),
644            (12, vector_public_key_validation_12()),
645        ];
646
647        for (n, test) in cases.iter() {
648            let (public_key, exp_valid) = test;
649            let res = <Secp256r1 as Specification>::PublicKey::decode(public_key.as_ref());
650            assert_eq!(
651                *exp_valid,
652                res.is_ok(),
653                "vector_public_key_validation_{}",
654                n
655            );
656        }
657    }
658
659    #[test]
660    fn test_signature_verification() {
661        let cases = [
662            vector_sig_verification_1(),
663            vector_sig_verification_2(),
664            vector_sig_verification_3(),
665            vector_sig_verification_4(),
666            vector_sig_verification_5(),
667            vector_sig_verification_6(),
668            vector_sig_verification_7(),
669            vector_sig_verification_8(),
670            vector_sig_verification_9(),
671            vector_sig_verification_10(),
672            vector_sig_verification_11(),
673            vector_sig_verification_12(),
674            vector_sig_verification_13(),
675            vector_sig_verification_14(),
676            vector_sig_verification_15(),
677        ];
678
679        for (index, test) in cases.into_iter().enumerate() {
680            let (public_key, sig, message, expected) = test;
681            let expected = if expected {
682                let mut ecdsa_signature = p256::ecdsa::Signature::from_slice(&sig).unwrap();
683                if ecdsa_signature.s().is_high().into() {
684                    // Valid signatures not normalized must be considered invalid.
685                    assert!(Signature::decode(sig.as_ref()).is_err());
686                    assert!(Signature::decode(Bytes::from(sig)).is_err());
687
688                    // Normalizing sig to test its validity.
689                    if let Some(normalized_sig) = ecdsa_signature.normalize_s() {
690                        ecdsa_signature = normalized_sig;
691                    }
692                }
693                let signature = Signature::from(ecdsa_signature);
694                Secp256r1::verify(None, &message, &public_key, &signature)
695            } else {
696                let tf_res = Signature::decode(sig.as_ref());
697                let dc_res = Signature::decode(Bytes::from(sig));
698                if tf_res.is_err() && dc_res.is_err() {
699                    // The parsing should fail
700                    true
701                } else {
702                    // Or the validation should fail
703                    let f1 = !Secp256r1::verify(None, &message, &public_key, &tf_res.unwrap());
704                    let f2 = !Secp256r1::verify(None, &message, &public_key, &dc_res.unwrap());
705                    f1 && f2
706                }
707            };
708            assert!(expected, "vector_signature_verification_{}", index + 1);
709        }
710    }
711
712    fn vector_keypair_1() -> (PrivateKey, PublicKey) {
713        parse_vector_keypair(
714            "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
715            "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f",
716            "9681b517b1cda17d0d83d335d9c4a8a9a9b0b1b3c7106d8f3c72bc5093dc275f",
717        )
718    }
719
720    fn vector_keypair_2() -> (PrivateKey, PublicKey) {
721        parse_vector_keypair(
722            "710735c8388f48c684a97bd66751cc5f5a122d6b9a96a2dbe73662f78217446d",
723            "f6836a8add91cb182d8d258dda6680690eb724a66dc3bb60d2322565c39e4ab9",
724            "1f837aa32864870cb8e8d0ac2ff31f824e7beddc4bb7ad72c173ad974b289dc2",
725        )
726    }
727
728    fn vector_keypair_3() -> (PrivateKey, PublicKey) {
729        parse_vector_keypair(
730            "78d5d8b7b3e2c16b3e37e7e63becd8ceff61e2ce618757f514620ada8a11f6e4",
731            "76711126cbb2af4f6a5fe5665dad4c88d27b6cb018879e03e54f779f203a854e",
732            "a26df39960ab5248fd3620fd018398e788bd89a3cea509b352452b69811e6856",
733        )
734    }
735
736    fn vector_keypair_4() -> (PrivateKey, PublicKey) {
737        parse_vector_keypair(
738            "2a61a0703860585fe17420c244e1de5a6ac8c25146b208ef88ad51ae34c8cb8c",
739            "e1aa7196ceeac088aaddeeba037abb18f67e1b55c0a5c4e71ec70ad666fcddc8",
740            "d7d35bdce6dedc5de98a7ecb27a9cd066a08f586a733b59f5a2cdb54f971d5c8",
741        )
742    }
743
744    fn vector_keypair_5() -> (PrivateKey, PublicKey) {
745        parse_vector_keypair(
746            "01b965b45ff386f28c121c077f1d7b2710acc6b0cb58d8662d549391dcf5a883",
747            "1f038c5422e88eec9e88b815e8f6b3e50852333fc423134348fc7d79ef8e8a10",
748            "43a047cb20e94b4ffb361ef68952b004c0700b2962e0c0635a70269bc789b849",
749        )
750    }
751
752    fn vector_keypair_6() -> (PrivateKey, PublicKey) {
753        parse_vector_keypair(
754            "fac92c13d374c53a085376fe4101618e1e181b5a63816a84a0648f3bdc24e519",
755            "7258f2ab96fc84ef6ccb33e308cd392d8b568ea635730ceb4ebd72fa870583b9",
756            "489807ca55bdc29ca5c8fe69b94f227b0345cccdbe89975e75d385cc2f6bb1e2",
757        )
758    }
759
760    fn vector_keypair_7() -> (PrivateKey, PublicKey) {
761        parse_vector_keypair(
762            "f257a192dde44227b3568008ff73bcf599a5c45b32ab523b5b21ca582fef5a0a",
763            "d2e01411817b5512b79bbbe14d606040a4c90deb09e827d25b9f2fc068997872",
764            "503f138f8bab1df2c4507ff663a1fdf7f710e7adb8e7841eaa902703e314e793",
765        )
766    }
767
768    fn vector_keypair_8() -> (PrivateKey, PublicKey) {
769        parse_vector_keypair(
770            "add67e57c42a3d28708f0235eb86885a4ea68e0d8cfd76eb46134c596522abfd",
771            "55bed2d9c029b7f230bde934c7124ed52b1330856f13cbac65a746f9175f85d7",
772            "32805e311d583b4e007c40668185e85323948e21912b6b0d2cda8557389ae7b0",
773        )
774    }
775
776    fn vector_keypair_9() -> (PrivateKey, PublicKey) {
777        parse_vector_keypair(
778            "4494860fd2c805c5c0d277e58f802cff6d731f76314eb1554142a637a9bc5538",
779            "5190277a0c14d8a3d289292f8a544ce6ea9183200e51aec08440e0c1a463a4e4",
780            "ecd98514821bd5aaf3419ab79b71780569470e4fed3da3c1353b28fe137f36eb",
781        )
782    }
783
784    fn vector_keypair_10() -> (PrivateKey, PublicKey) {
785        parse_vector_keypair(
786            "d40b07b1ea7b86d4709ef9dc634c61229feb71abd63dc7fc85ef46711a87b210",
787            "fbcea7c2827e0e8085d7707b23a3728823ea6f4878b24747fb4fd2842d406c73",
788            "2393c85f1f710c5afc115a39ba7e18abe03f19c9d4bb3d47d19468b818efa535",
789        )
790    }
791
792    fn vector_public_key_validation_1() -> (Vec<u8>, bool) {
793        (
794            parse_public_key_as_compressed_vector(
795                "e0f7449c5588f24492c338f2bc8f7865f755b958d48edb0f2d0056e50c3fd5b7",
796                "86d7e9255d0f4b6f44fa2cd6f8ba3c0aa828321d6d8cc430ca6284ce1d5b43a0",
797            ),
798            true,
799        )
800    }
801
802    fn vector_public_key_validation_3() -> (Vec<u8>, bool) {
803        (
804            parse_public_key_as_compressed_vector(
805                "17875397ae87369365656d490e8ce956911bd97607f2aff41b56f6f3a61989826",
806                "980a3c4f61b9692633fbba5ef04c9cb546dd05cdec9fa8428b8849670e2fba92",
807            ),
808            false, // x out of range
809        )
810    }
811
812    fn vector_public_key_validation_4() -> (Vec<u8>, bool) {
813        (
814            parse_public_key_as_compressed_vector(
815                "f2d1c0dc0852c3d8a2a2500a23a44813ccce1ac4e58444175b440469ffc12273",
816                "32bfe992831b305d8c37b9672df5d29fcb5c29b4a40534683e3ace23d24647dd",
817            ),
818            false, // point not on the curve
819        )
820    }
821
822    fn vector_public_key_validation_5() -> (Vec<u8>, bool) {
823        (
824            parse_public_key_as_compressed_vector(
825                "10b0ca230fff7c04768f4b3d5c75fa9f6c539bea644dffbec5dc796a213061b58",
826                "f5edf37c11052b75f771b7f9fa050e353e464221fec916684ed45b6fead38205",
827            ),
828            false, // x out of range
829        )
830    }
831
832    fn vector_public_key_validation_6() -> (Vec<u8>, bool) {
833        (
834            parse_public_key_as_compressed_vector(
835                "2c1052f25360a15062d204a056274e93cbe8fc4c4e9b9561134ad5c15ce525da",
836                "ced9783713a8a2a09eff366987639c625753295d9a85d0f5325e32dedbcada0b",
837            ),
838            true,
839        )
840    }
841
842    fn vector_public_key_validation_7() -> (Vec<u8>, bool) {
843        (
844            parse_public_key_as_compressed_vector(
845                "a40d077a87dae157d93dcccf3fe3aca9c6479a75aa2669509d2ef05c7de6782f",
846                "503d86b87d743ba20804fd7e7884aa017414a7b5b5963e0d46e3a9611419ddf3",
847            ),
848            false, // point not on the curve
849        )
850    }
851
852    fn vector_public_key_validation_8() -> (Vec<u8>, bool) {
853        (
854            parse_public_key_as_compressed_vector(
855                "2633d398a3807b1895548adbb0ea2495ef4b930f91054891030817df87d4ac0a",
856                "d6b2f738e3873cc8364a2d364038ce7d0798bb092e3dd77cbdae7c263ba618d2",
857            ),
858            true,
859        )
860    }
861
862    fn vector_public_key_validation_9() -> (Vec<u8>, bool) {
863        (
864            parse_public_key_as_compressed_vector(
865                "14bf57f76c260b51ec6bbc72dbd49f02a56eaed070b774dc4bad75a54653c3d56",
866                "7a231a23bf8b3aa31d9600d888a0678677a30e573decd3dc56b33f365cc11236",
867            ),
868            false, // x out of range
869        )
870    }
871
872    fn vector_public_key_validation_10() -> (Vec<u8>, bool) {
873        (
874            parse_public_key_as_compressed_vector(
875                "2fa74931ae816b426f484180e517f5050c92decfc8daf756cd91f54d51b302f1",
876                "5b994346137988c58c14ae2152ac2f6ad96d97decb33099bd8a0210114cd1141",
877            ),
878            true,
879        )
880    }
881
882    fn vector_public_key_validation_12() -> (Vec<u8>, bool) {
883        (
884            parse_public_key_as_compressed_vector(
885                "7a81a7e0b015252928d8b36e4ca37e92fdc328eb25c774b4f872693028c4be38",
886                "08862f7335147261e7b1c3d055f9a316e4cab7daf99cc09d1c647f5dd6e7d5bb",
887            ),
888            false, // point not on the curve
889        )
890    }
891
892    fn vector_sig_verification_1() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
893        let (public_key, sig, message) = parse_vector_sig_verification(
894            "87f8f2b218f49845f6f10eec3877136269f5c1a54736dbdf69f89940cad41555",
895            "e15f369036f49842fac7a86c8a2b0557609776814448b8f5e84aa9f4395205e9",
896            "d19ff48b324915576416097d2544f7cbdf8768b1454ad20e0baac50e211f23b0",
897            "a3e81e59311cdfff2d4784949f7a2cb50ba6c3a91fa54710568e61aca3e847c6",
898            "e4796db5f785f207aa30d311693b3702821dff1168fd2e04c0836825aefd850d9aa60326d88cde1a23c7
899            745351392ca2288d632c264f197d05cd424a30336c19fd09bb229654f0222fcb881a4b35c290a093ac159ce1
900            3409111ff0358411133c24f5b8e2090d6db6558afc36f06ca1f6ef779785adba68db27a409859fc4c4a0",
901        );
902        (public_key, sig, message, false)
903    }
904
905    fn vector_sig_verification_2() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
906        let (public_key, sig, message) = parse_vector_sig_verification(
907            "5cf02a00d205bdfee2016f7421807fc38ae69e6b7ccd064ee689fc1a94a9f7d2",
908            "ec530ce3cc5c9d1af463f264d685afe2b4db4b5828d7e61b748930f3ce622a85",
909            "dc23d130c6117fb5751201455e99f36f59aba1a6a21cf2d0e7481a97451d6693",
910            "d6ce7708c18dbf35d4f8aa7240922dc6823f2e7058cbc1484fcad1599db5018c",
911            "069a6e6b93dfee6df6ef6997cd80dd2182c36653cef10c655d524585655462d683877f95ecc6d6c81623
912            d8fac4e900ed0019964094e7de91f1481989ae1873004565789cbf5dc56c62aedc63f62f3b894c9c6f7788c8
913            ecaadc9bd0e81ad91b2b3569ea12260e93924fdddd3972af5273198f5efda0746219475017557616170e",
914        );
915        (public_key, sig, message, false)
916    }
917
918    fn vector_sig_verification_3() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
919        let (public_key, sig, message) = parse_vector_sig_verification(
920            "2ddfd145767883ffbb0ac003ab4a44346d08fa2570b3120dcce94562422244cb",
921            "5f70c7d11ac2b7a435ccfbbae02c3df1ea6b532cc0e9db74f93fffca7c6f9a64",
922            "9913111cff6f20c5bf453a99cd2c2019a4e749a49724a08774d14e4c113edda8",
923            "9467cd4cd21ecb56b0cab0a9a453b43386845459127a952421f5c6382866c5cc",
924            "df04a346cf4d0e331a6db78cca2d456d31b0a000aa51441defdb97bbeb20b94d8d746429a393ba88840d
925            661615e07def615a342abedfa4ce912e562af714959896858af817317a840dcff85a057bb91a3c2bf9010550
926            0362754a6dd321cdd86128cfc5f04667b57aa78c112411e42da304f1012d48cd6a7052d7de44ebcc01de",
927        );
928        (public_key, sig, message, false)
929    }
930
931    fn vector_sig_verification_4() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
932        let (public_key, sig, message) = parse_vector_sig_verification(
933            "e424dc61d4bb3cb7ef4344a7f8957a0c5134e16f7a67c074f82e6e12f49abf3c",
934            "970eed7aa2bc48651545949de1dddaf0127e5965ac85d1243d6f60e7dfaee927",
935            "bf96b99aa49c705c910be33142017c642ff540c76349b9dab72f981fd9347f4f",
936            "17c55095819089c2e03b9cd415abdf12444e323075d98f31920b9e0f57ec871c",
937            "e1130af6a38ccb412a9c8d13e15dbfc9e69a16385af3c3f1e5da954fd5e7c45fd75e2b8c36699228e928
938            40c0562fbf3772f07e17f1add56588dd45f7450e1217ad239922dd9c32695dc71ff2424ca0dec1321aa47064
939            a044b7fe3c2b97d03ce470a592304c5ef21eed9f93da56bb232d1eeb0035f9bf0dfafdcc4606272b20a3",
940        );
941        (public_key, sig, message, true)
942    }
943
944    fn vector_sig_verification_5() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
945        let (public_key, sig, message) = parse_vector_sig_verification(
946            "e0fc6a6f50e1c57475673ee54e3a57f9a49f3328e743bf52f335e3eeaa3d2864",
947            "7f59d689c91e463607d9194d99faf316e25432870816dde63f5d4b373f12f22a",
948            "1d75830cd36f4c9aa181b2c4221e87f176b7f05b7c87824e82e396c88315c407",
949            "cb2acb01dac96efc53a32d4a0d85d0c2e48955214783ecf50a4f0414a319c05a",
950            "73c5f6a67456ae48209b5f85d1e7de7758bf235300c6ae2bdceb1dcb27a7730fb68c950b7fcada0ecc46
951            61d3578230f225a875e69aaa17f1e71c6be5c831f22663bac63d0c7a9635edb0043ff8c6f26470f02a7bc565
952            56f1437f06dfa27b487a6c4290d8bad38d4879b334e341ba092dde4e4ae694a9c09302e2dbf443581c08",
953        );
954        // Valid vector we switch to invalid as the signature is not normalized.
955        (public_key, sig, message, true)
956    }
957
958    fn vector_sig_verification_6() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
959        let (public_key, sig, message) = parse_vector_sig_verification(
960            "a849bef575cac3c6920fbce675c3b787136209f855de19ffe2e8d29b31a5ad86",
961            "bf5fe4f7858f9b805bd8dcc05ad5e7fb889de2f822f3d8b41694e6c55c16b471",
962            "25acc3aa9d9e84c7abf08f73fa4195acc506491d6fc37cb9074528a7db87b9d6",
963            "9b21d5b5259ed3f2ef07dfec6cc90d3a37855d1ce122a85ba6a333f307d31537",
964            "666036d9b4a2426ed6585a4e0fd931a8761451d29ab04bd7dc6d0c5b9e38e6c2b263ff6cb837bd04399d
965            e3d757c6c7005f6d7a987063cf6d7e8cb38a4bf0d74a282572bd01d0f41e3fd066e3021575f0fa04f27b700d
966            5b7ddddf50965993c3f9c7118ed78888da7cb221849b3260592b8e632d7c51e935a0ceae15207bedd548",
967        );
968        (public_key, sig, message, false)
969    }
970
971    fn vector_sig_verification_7() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
972        let (public_key, sig, message) = parse_vector_sig_verification(
973            "3dfb6f40f2471b29b77fdccba72d37c21bba019efa40c1c8f91ec405d7dcc5df",
974            "f22f953f1e395a52ead7f3ae3fc47451b438117b1e04d613bc8555b7d6e6d1bb",
975            "548886278e5ec26bed811dbb72db1e154b6f17be70deb1b210107decb1ec2a5a",
976            "e93bfebd2f14f3d827ca32b464be6e69187f5edbd52def4f96599c37d58eee75",
977            "7e80436bce57339ce8da1b5660149a20240b146d108deef3ec5da4ae256f8f894edcbbc57b34ce37089c
978            0daa17f0c46cd82b5a1599314fd79d2fd2f446bd5a25b8e32fcf05b76d644573a6df4ad1dfea707b479d9723
979            7a346f1ec632ea5660efb57e8717a8628d7f82af50a4e84b11f21bdff6839196a880ae20b2a0918d58cd",
980        );
981        (public_key, sig, message, false)
982    }
983
984    fn vector_sig_verification_8() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
985        let (public_key, sig, message) = parse_vector_sig_verification(
986            "69b7667056e1e11d6caf6e45643f8b21e7a4bebda463c7fdbc13bc98efbd0214",
987            "d3f9b12eb46c7c6fda0da3fc85bc1fd831557f9abc902a3be3cb3e8be7d1aa2f",
988            "288f7a1cd391842cce21f00e6f15471c04dc182fe4b14d92dc18910879799790",
989            "247b3c4e89a3bcadfea73c7bfd361def43715fa382b8c3edf4ae15d6e55e9979",
990            "1669bfb657fdc62c3ddd63269787fc1c969f1850fb04c933dda063ef74a56ce13e3a649700820f0061ef
991            abf849a85d474326c8a541d99830eea8131eaea584f22d88c353965dabcdc4bf6b55949fd529507dfb803ab6
992            b480cd73ca0ba00ca19c438849e2cea262a1c57d8f81cd257fb58e19dec7904da97d8386e87b84948169",
993        );
994        (public_key, sig, message, false)
995    }
996
997    fn vector_sig_verification_9() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
998        let (public_key, sig, message) = parse_vector_sig_verification(
999            "bf02cbcf6d8cc26e91766d8af0b164fc5968535e84c158eb3bc4e2d79c3cc682",
1000            "069ba6cb06b49d60812066afa16ecf7b51352f2c03bd93ec220822b1f3dfba03",
1001            "f5acb06c59c2b4927fb852faa07faf4b1852bbb5d06840935e849c4d293d1bad",
1002            "049dab79c89cc02f1484c437f523e080a75f134917fda752f2d5ca397addfe5d",
1003            "3fe60dd9ad6caccf5a6f583b3ae65953563446c4510b70da115ffaa0ba04c076115c7043ab8733403cd6
1004            9c7d14c212c655c07b43a7c71b9a4cffe22c2684788ec6870dc2013f269172c822256f9e7cc674791bf2d848
1005            6c0f5684283e1649576efc982ede17c7b74b214754d70402fb4bb45ad086cf2cf76b3d63f7fce39ac970",
1006        );
1007        (public_key, sig, message, false)
1008    }
1009
1010    fn vector_sig_verification_10() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1011        let (public_key, sig, message) = parse_vector_sig_verification(
1012            "224a4d65b958f6d6afb2904863efd2a734b31798884801fcab5a590f4d6da9de",
1013            "178d51fddada62806f097aa615d33b8f2404e6b1479f5fd4859d595734d6d2b9",
1014            "87b93ee2fecfda54deb8dff8e426f3c72c8864991f8ec2b3205bb3b416de93d2",
1015            "4044a24df85be0cc76f21a4430b75b8e77b932a87f51e4eccbc45c263ebf8f66",
1016            "983a71b9994d95e876d84d28946a041f8f0a3f544cfcc055496580f1dfd4e312a2ad418fe69dbc61db23
1017            0cc0c0ed97e360abab7d6ff4b81ee970a7e97466acfd9644f828ffec538abc383d0e92326d1c88c55e1f46a6
1018            68a039beaa1be631a89129938c00a81a3ae46d4aecbf9707f764dbaccea3ef7665e4c4307fa0b0a3075c",
1019        );
1020        (public_key, sig, message, false)
1021    }
1022
1023    fn vector_sig_verification_11() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1024        let (public_key, sig, message) = parse_vector_sig_verification(
1025            "43691c7795a57ead8c5c68536fe934538d46f12889680a9cb6d055a066228369",
1026            "f8790110b3c3b281aa1eae037d4f1234aff587d903d93ba3af225c27ddc9ccac",
1027            "8acd62e8c262fa50dd9840480969f4ef70f218ebf8ef9584f199031132c6b1ce",
1028            "cfca7ed3d4347fb2a29e526b43c348ae1ce6c60d44f3191b6d8ea3a2d9c92154",
1029            "4a8c071ac4fd0d52faa407b0fe5dab759f7394a5832127f2a3498f34aac287339e043b4ffa79528faf19
1030            9dc917f7b066ad65505dab0e11e6948515052ce20cfdb892ffb8aa9bf3f1aa5be30a5bbe85823bddf70b39fd
1031            7ebd4a93a2f75472c1d4f606247a9821f1a8c45a6cb80545de2e0c6c0174e2392088c754e9c8443eb5af",
1032        );
1033        (public_key, sig, message, false)
1034    }
1035
1036    fn vector_sig_verification_12() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1037        let (public_key, sig, message) = parse_vector_sig_verification(
1038            "9157dbfcf8cf385f5bb1568ad5c6e2a8652ba6dfc63bc1753edf5268cb7eb596",
1039            "972570f4313d47fc96f7c02d5594d77d46f91e949808825b3d31f029e8296405",
1040            "dfaea6f297fa320b707866125c2a7d5d515b51a503bee817de9faa343cc48eeb",
1041            "8f780ad713f9c3e5a4f7fa4c519833dfefc6a7432389b1e4af463961f09764f2",
1042            "0a3a12c3084c865daf1d302c78215d39bfe0b8bf28272b3c0b74beb4b7409db0718239de700785581514
1043            321c6440a4bbaea4c76fa47401e151e68cb6c29017f0bce4631290af5ea5e2bf3ed742ae110b04ade83a5dbd
1044            7358f29a85938e23d87ac8233072b79c94670ff0959f9c7f4517862ff829452096c78f5f2e9a7e4e9216",
1045        );
1046        (public_key, sig, message, false)
1047    }
1048
1049    fn vector_sig_verification_13() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1050        let (public_key, sig, message) = parse_vector_sig_verification(
1051            "072b10c081a4c1713a294f248aef850e297991aca47fa96a7470abe3b8acfdda",
1052            "9581145cca04a0fb94cedce752c8f0370861916d2a94e7c647c5373ce6a4c8f5",
1053            "09f5483eccec80f9d104815a1be9cc1a8e5b12b6eb482a65c6907b7480cf4f19",
1054            "a4f90e560c5e4eb8696cb276e5165b6a9d486345dedfb094a76e8442d026378d",
1055            "785d07a3c54f63dca11f5d1a5f496ee2c2f9288e55007e666c78b007d95cc28581dce51f490b30fa73dc
1056            9e2d45d075d7e3a95fb8a9e1465ad191904124160b7c60fa720ef4ef1c5d2998f40570ae2a870ef3e894c2bc
1057            617d8a1dc85c3c55774928c38789b4e661349d3f84d2441a3b856a76949b9f1f80bc161648a1cad5588e",
1058        );
1059        (public_key, sig, message, false)
1060    }
1061
1062    fn vector_sig_verification_14() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1063        let (public_key, sig, message) = parse_vector_sig_verification(
1064            "09308ea5bfad6e5adf408634b3d5ce9240d35442f7fe116452aaec0d25be8c24",
1065            "f40c93e023ef494b1c3079b2d10ef67f3170740495ce2cc57f8ee4b0618b8ee5",
1066            "5cc8aa7c35743ec0c23dde88dabd5e4fcd0192d2116f6926fef788cddb754e73",
1067            "9c9c045ebaa1b828c32f82ace0d18daebf5e156eb7cbfdc1eff4399a8a900ae7",
1068            "76f987ec5448dd72219bd30bf6b66b0775c80b394851a43ff1f537f140a6e7229ef8cd72ad58b1d2d202
1069            98539d6347dd5598812bc65323aceaf05228f738b5ad3e8d9fe4100fd767c2f098c77cb99c2992843ba3eed9
1070            1d32444f3b6db6cd212dd4e5609548f4bb62812a920f6e2bf1581be1ebeebdd06ec4e971862cc42055ca",
1071        );
1072        (public_key, sig, message, false)
1073    }
1074
1075    fn vector_sig_verification_15() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1076        let (public_key, sig, message) = parse_vector_sig_verification(
1077            "2d98ea01f754d34bbc3003df5050200abf445ec728556d7ed7d5c54c55552b6d",
1078            "9b52672742d637a32add056dfd6d8792f2a33c2e69dafabea09b960bc61e230a",
1079            "06108e525f845d0155bf60193222b3219c98e3d49424c2fb2a0987f825c17959",
1080            "62b5cdd591e5b507e560167ba8f6f7cda74673eb315680cb89ccbc4eec477dce",
1081            "60cd64b2cd2be6c33859b94875120361a24085f3765cb8b2bf11e026fa9d8855dbe435acf7882e84f3c7
1082            857f96e2baab4d9afe4588e4a82e17a78827bfdb5ddbd1c211fbc2e6d884cddd7cb9d90d5bf4a7311b83f352
1083            508033812c776a0e00c003c7e0d628e50736c7512df0acfa9f2320bd102229f46495ae6d0857cc452a84",
1084        );
1085        (public_key, sig, message, true)
1086    }
1087}