From 9e6b550c2c4add6881394356dd572a19628c3b6f Mon Sep 17 00:00:00 2001
From: Konnor Klashinsky <31221309+kklash@users.noreply.github.com>
Date: Mon, 4 Apr 2022 02:43:27 +0000
Subject: [PATCH] feat: add SignECDSA function (#8)

---
 README.md                    |   35 +
 ecdsa.go                     |   44 +
 ecdsa_test.go                |   74 +
 test_vectors/ecdsa.go        |   41 +
 test_vectors/ecdsa.json      | 2757 ++++++++++++++++++++++++++++++++++
 test_vectors/test_vectors.go |    6 +
 6 files changed, 2957 insertions(+)
 create mode 100644 ecdsa.go
 create mode 100644 ecdsa_test.go
 create mode 100644 test_vectors/ecdsa.go
 create mode 100644 test_vectors/ecdsa.json

diff --git a/README.md b/README.md
index 7008f5d..d80c5db 100644
--- a/README.md
+++ b/README.md
@@ -6,6 +6,8 @@ This package provides primitives for elliptic curve cryptographic operations on
 
 This library is not finished, stable, or audited - depend on it at your own peril!
 
+### [API Reference](https://pkg.go.dev/github.com/kklash/ekliptic)
+
 ## Elliptic-whah?
 
 Elliptic curve cryptography is a relatively new field of [asymmetric public-key cryptography](https://cryptobook.nakov.com/asymmetric-key-ciphers). An elliptic curve is just a cubic equation of a particular form. The secp256k1 curve, for example, is `y² = x³ + 7`. To make this curve equation useful, we first define an addition operation that 'adds' two `(x, y)` points on the curve to produce a third point _also_ on the curve. From that, you can create a multiplication operation to multiply a 2D point by some 1D (scalar) number, by simply adding the point to itself many times.
@@ -114,6 +116,39 @@ fmt.Printf("Bob's derived secret:   %x\n", bobSharedKey)
 // Bob's derived secret:   375a5d26649704863562930ded2193a0569f90f4eb4e63f0fee72c4c05268feb
 ```
 
+Signing a message with ECDSA.
+
+```go
+import (
+  cryptorand "crypto/rand"
+  mathrand "math/rand"
+)
+
+randReader := mathrand.New(mathrand.NewSource(1))
+
+key, _ := cryptorand.Int(randReader, Secp256k1_CurveOrder)
+nonce, _ := cryptorand.Int(randReader, Secp256k1_CurveOrder)
+
+hashedMessage := sha256.Sum256([]byte("i love you"))
+hashedMessageInt := new(big.Int).SetBytes(hashedMessage[:])
+
+r := new(big.Int)
+s := new(big.Int)
+
+SignECDSA(
+  key, nonce, hashedMessageInt,
+  r, s,
+)
+
+fmt.Printf("r: %x\n", r)
+fmt.Printf("s: %x\n", s)
+
+// output:
+//
+// r: 4a821d5ec008712983929de448b8afb6c24e5a1b97367b9a65b6220d7f083fe3
+// s: 2e4f380e0ea1dfcb7cced430437c98b4570a06b3e929a3b19e6bbd53df2cf3f6
+```
+
 ## Hacking on Ekliptic
 
 | Command | Usage |
diff --git a/ecdsa.go b/ecdsa.go
new file mode 100644
index 0000000..70aae81
--- /dev/null
+++ b/ecdsa.go
@@ -0,0 +1,44 @@
+package ekliptic
+
+import "math/big"
+
+// SignECDSA signs a message hash z using the private key d, and a random (or deterministically
+// derived) nonce k. It sets r and s to the resulting signature parts.
+//
+// Both the nonce k and the private key d should be generated with equal probability distribution
+// over the range [1, Secp256k1_CurveOrder). SignECDSA Panics if k or d is not within this range.
+func SignECDSA(
+	d, k, z *big.Int,
+	r, s *big.Int,
+) {
+	if k.Cmp(Secp256k1_CurveOrder) >= 0 || k.Cmp(one) == -1 {
+		panic("SignECDSA: expected nonce k to be in range [1, Secp256k1_CurveOrder)")
+	} else if d.Cmp(Secp256k1_CurveOrder) >= 0 || d.Cmp(one) == -1 {
+		panic("SignECDSA: expected private key d to be in range [1, Secp256k1_CurveOrder)")
+	}
+
+	// (x, _) = k * G
+	x := new(big.Int)
+	MultiplyBasePoint(k, x, new(big.Int))
+
+	// r = x mod N
+	r.Mod(x, Secp256k1_CurveOrder)
+
+	// m = rd + z
+	m := x.Mul(r, d)
+	m.Add(m, z)
+	x = nil
+
+	// s = k⁻¹ * m mod N
+	s.ModInverse(k, Secp256k1_CurveOrder)
+	s.Mul(s, m)
+	s.Mod(s, Secp256k1_CurveOrder)
+
+	// always provide canonical signatures.
+	//
+	//  if s > (N/2):
+	//    s = N - s
+	if s.Cmp(Secp256k1_CurveOrderHalf) == 1 {
+		s.Sub(Secp256k1_CurveOrder, s)
+	}
+}
diff --git a/ecdsa_test.go b/ecdsa_test.go
new file mode 100644
index 0000000..ef21d08
--- /dev/null
+++ b/ecdsa_test.go
@@ -0,0 +1,74 @@
+package ekliptic
+
+import (
+	cryptorand "crypto/rand"
+	"crypto/sha256"
+	"fmt"
+	"math/big"
+	mathrand "math/rand"
+	"testing"
+
+	"github.com/kklash/ekliptic/test_vectors"
+)
+
+func TestSignECDSA(t *testing.T) {
+	r := new(big.Int)
+	s := new(big.Int)
+
+	for i, vector := range test_vectors.ECDSAVectors {
+		SignECDSA(
+			vector.PrivateKey, vector.Nonce, vector.Hash,
+			r, s,
+		)
+
+		if !equal(r, vector.R) || !equal(s, vector.S) {
+			t.Errorf(`invalid ECDSA signature for vector %d. Got:
+	r: %.64x
+	s: %.64x
+Wanted:
+	r: %.64x
+	s: %.64x
+`, i, r, s, vector.R, vector.S)
+		}
+	}
+}
+
+func BenchmarkSignECDSA(b *testing.B) {
+	r := new(big.Int)
+	s := new(big.Int)
+
+	b.ResetTimer()
+	for i := 0; i < b.N; i++ {
+		vector := test_vectors.ECDSAVectors[i%len(test_vectors.ECDSAVectors)]
+		SignECDSA(
+			vector.PrivateKey, vector.Nonce, vector.Hash,
+			r, s,
+		)
+	}
+}
+
+func ExampleSignECDSA() {
+	randReader := mathrand.New(mathrand.NewSource(1))
+
+	key, _ := cryptorand.Int(randReader, Secp256k1_CurveOrder)
+	nonce, _ := cryptorand.Int(randReader, Secp256k1_CurveOrder)
+
+	hashedMessage := sha256.Sum256([]byte("i love you"))
+	hashedMessageInt := new(big.Int).SetBytes(hashedMessage[:])
+
+	r := new(big.Int)
+	s := new(big.Int)
+
+	SignECDSA(
+		key, nonce, hashedMessageInt,
+		r, s,
+	)
+
+	fmt.Printf("r: %x\n", r)
+	fmt.Printf("s: %x\n", s)
+
+	// output:
+	//
+	// r: 4a821d5ec008712983929de448b8afb6c24e5a1b97367b9a65b6220d7f083fe3
+	// s: 2e4f380e0ea1dfcb7cced430437c98b4570a06b3e929a3b19e6bbd53df2cf3f6
+}
diff --git a/test_vectors/ecdsa.go b/test_vectors/ecdsa.go
new file mode 100644
index 0000000..2b13dd3
--- /dev/null
+++ b/test_vectors/ecdsa.go
@@ -0,0 +1,41 @@
+package test_vectors
+
+import (
+	_ "embed"
+	"encoding/json"
+	"math/big"
+)
+
+// ECDSAVector represents a test vector for the elliptic curve digital signature algorithm
+// on a given message hash with a private key and nonce.
+type ECDSAVector struct {
+	Hash       *big.Int
+	PrivateKey *big.Int
+	Nonce      *big.Int
+	R, S       *big.Int
+}
+
+//go:embed ecdsa.json
+var ecdsaJsonBytes []byte
+
+func loadECDSAVectors() ([]*ECDSAVector, error) {
+	var rawJsonObjects []map[string]string
+
+	if err := json.Unmarshal(ecdsaJsonBytes, &rawJsonObjects); err != nil {
+		return nil, err
+	}
+
+	vectors := make([]*ECDSAVector, len(rawJsonObjects))
+
+	for i, obj := range rawJsonObjects {
+		vectors[i] = &ECDSAVector{
+			Hash:       hexint(obj["hash"]),
+			PrivateKey: hexint(obj["d"]),
+			Nonce:      hexint(obj["nonce"]),
+			R:          hexint(obj["r"]),
+			S:          hexint(obj["s"]),
+		}
+	}
+
+	return vectors, nil
+}
diff --git a/test_vectors/ecdsa.json b/test_vectors/ecdsa.json
new file mode 100644
index 0000000..46a0988
--- /dev/null
+++ b/test_vectors/ecdsa.json
@@ -0,0 +1,2757 @@
+[
+  {
+    "description": "Everything should be made as simple as possible, but not simpler.",
+    "d": "0000000000000000000000000000000000000000000000000000000000000001",
+    "hash": "06ef2b193b83b3d701f765f1db34672ab84897e1252343cc2197829af3a30456",
+    "r": "33a69cd2065432a30f3d1ce4eb0d59b8ab58c74f27c41a7fdb5696ad4e6108c9",
+    "s": "6f807982866f785d3f6418d24163ddae117b7db4d5fdf0071de069fa54342262",
+    "nonce": "ec633bd56a5774a0940cb97e27a9e4e51dc94af737596a0c5cbb3d30332d92a5"
+  },
+  {
+    "description": "Equations are more important to me, because politics is for the present, but an equation is something for eternity.",
+    "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
+    "hash": "5e9f0a0d593efdcf78ac923bc3313e4e7d408d574354ee2b3288c0da9fbba6ed",
+    "r": "54c4a33c6423d689378f160a7ff8b61330444abb58fb470f96ea16d99d4a2fed",
+    "s": "07082304410efa6b2943111b6a4e0aaa7b7db55a07e9861d1fb3cb1f421044a5",
+    "nonce": "9dc74cbfd383980fb4ae5d2680acddac9dac956dca65a28c80ac9c847c2374e4"
+  },
+  {
+    "description": "Not only is the Universe stranger than we think, it is stranger than we can think.",
+    "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
+    "hash": "4d642665c81dd2d6fc3d386ee018043e1f38c5def0a9925febd766f5b15fdb8d",
+    "r": "ff466a9f1b7b273e2f4c3ffe032eb2e814121ed18ef84665d0f515360dab3dd0",
+    "s": "6fc95f5132e5ecfdc8e5e6e616cc77151455d46ed48f5589b7db7771a332b283",
+    "nonce": "fd27071f01648ebbdd3e1cfbae48facc9fa97edc43bbbc9a7fdc28eae13296f5"
+  },
+  {
+    "description": "How wonderful that we have met with a paradox. Now we have some hope of making progress.",
+    "d": "0000000000000000000000000000000000000000000000000000000000000001",
+    "hash": "d507058c2f1472fe0de2ba3b4efe629505677440ab3a7032a9adeaf0ebda74a2",
+    "r": "c0dafec8251f1d5010289d210232220b03202cba34ec11fec58b3e93a85b91d3",
+    "s": "75afdc06b7d6322a590955bf264e7aaa155847f614d80078a90292fe205064d3",
+    "nonce": "f0cd2ba5fc7c183de589f6416220a36775a146740798756d8d949f7166dcc87f"
+  },
+  {
+    "description": "Computer science is no more about computers than astronomy is about telescopes.",
+    "d": "69ec59eaa1f4f2e36b639716b7c30ca86d9a5375c7b38d8918bd9c0ebc80ba64",
+    "hash": "24833a5c2c927c9876d7a77e400577057598e0d7b0c96587ee8a37ea5381bede",
+    "r": "7186363571d65e084e7f02b0b77c3ec44fb1b257dee26274c38c928986fea45d",
+    "s": "0de0b38e06807e46bda1f1e293f4f6323e854c86d58abdd00c46c16441085df6",
+    "nonce": "6bb4a594ad57c1aa22dbe991a9d8501daf4688bf50a4892ef21bd7c711afda97"
+  },
+  {
+    "description": "...if you aren't, at any given time, scandalized by code you wrote five or even three years ago, you're not learning anywhere near enough",
+    "d": "00000000000000000000000000007246174ab1e92e9149c6e446fe194d072637",
+    "hash": "1eb6e69ca54e38a9b30d4e80b7f69f9dbb10f81579e635dc49557fc16f21e911",
+    "r": "fbfe5076a15860ba8ed00e75e9bd22e05d230f02a936b653eb55b61c99dda487",
+    "s": "0e68880ebb0050fe4312b1b1eb0899e1b82da89baa5b895f612619edf34cbd37",
+    "nonce": "097b5c8ee22c3ea78a4d3635e0ff6fe85a1eb92ce317ded90b9e71aab2b861cb"
+  },
+  {
+    "description": "The question of whether computers can think is like the question of whether submarines can swim.",
+    "d": "000000000000000000000000000000000000000000056916d0f9b31dc9b637f3",
+    "hash": "179fd85cbe8797f314f07f732438db0682da502c7a9aa9da87af39cf126aaeb3",
+    "r": "cde1302d83f8dd835d89aef803c74a119f561fbaef3eb9129e45f30de86abbf9",
+    "s": "06ce643f5049ee1f27890467b77a6a8e11ec4661cc38cd8badf90115fbd03cef",
+    "nonce": "19355c36c8cbcdfb2382e23b194b79f8c97bf650040fc7728dfbf6b39a97c25b"
+  },
+  {
+    "description": "Everything should be made as simple as possible, but not simpler.",
+    "d": "9c7fc36bc106fd7df5e1078d03e34b9a045892abdd053ec69bfeb22327529f6c",
+    "hash": "06ef2b193b83b3d701f765f1db34672ab84897e1252343cc2197829af3a30456",
+    "r": "b4abe4ecdf93a1b8b22958fd70bdb10ef0c05e391fb58ef2b67c8fe38dcf8875",
+    "s": "66eea005e0e32292b0a70280afc20d8341109bce79df004529bcc8598af701c6",
+    "nonce": "8b280e3d16daa70cc1d4ec1e051fe2dd10e57aecaa0f45ac8744694d35c75f7d"
+  },
+  {
+    "description": "Equations are more important to me, because politics is for the present, but an equation is something for eternity.",
+    "d": "85a7464e3d385e445d05a6653686d6e0494f5a040403e33cdfb298f0dfc81b13",
+    "hash": "5e9f0a0d593efdcf78ac923bc3313e4e7d408d574354ee2b3288c0da9fbba6ed",
+    "r": "539825cf9532fc9ba16e6f71ea0140768621ce908a7a88b6fa2184db14802f81",
+    "s": "477eb2480cc732370041af5de20818c478e6d0768093d9c12582eb548c1ec7a4",
+    "nonce": "f6ce27bf57f4b8ab738d852de7fcd801074183328ceace9d1fe57eff5c2873fc"
+  },
+  {
+    "description": "Not only is the Universe stranger than we think, it is stranger than we can think.",
+    "d": "52f9dd5e40e93ac097c7550b1d812cac8cac1dab5d8d471e10952da763ed4edb",
+    "hash": "4d642665c81dd2d6fc3d386ee018043e1f38c5def0a9925febd766f5b15fdb8d",
+    "r": "f3caed96084874665027847dc5b1f34d8acb375305580be42cf88da3810cd9a0",
+    "s": "40ae93fd80d61b08e9c6dd3a2012ede80b619e92b676aa72f85ccd4156896589",
+    "nonce": "dbbde281f2701eae617db7d4c95a7d01204676e73377e1e4b0afc481e29c58c9"
+  },
+  {
+    "description": "How wonderful that we have met with a paradox. Now we have some hope of making progress.",
+    "d": "aba9ad83795cb662a4ec3214b780c4dbdf8a32f4b3b4967f00257ae81a18f2d9",
+    "hash": "d507058c2f1472fe0de2ba3b4efe629505677440ab3a7032a9adeaf0ebda74a2",
+    "r": "3121742c83f31bdacf06ab29a4f016365240d98069e9ce8c53dea3caba5694cf",
+    "s": "42f2af2979209725fb690d9a8d1aedd8808409697da4bbf58c847b6836641c3f",
+    "nonce": "33b777a3661ae9eb13552e4c264e27f20d7d60aee6062100ca14a28034ff2891"
+  },
+  {
+    "description": "Computer science is no more about computers than astronomy is about telescopes.",
+    "d": "ab51604553e2a35df7e0fd32169a5a3e5dfa1bdf2455667a15aa3eb8696a3d16",
+    "hash": "24833a5c2c927c9876d7a77e400577057598e0d7b0c96587ee8a37ea5381bede",
+    "r": "06a02f42890eabc89401448debc5525b98f3cafe9f800d34179f1108cdcfcaec",
+    "s": "225c46d5280244429866d50446b4664c19f72a5f25ccad982fc54b9500a03c3e",
+    "nonce": "eb10bd0e3b86ec3e1952763a67ef7fff4d3a5e135daddcdf466da5efd6169047"
+  },
+  {
+    "description": "...if you aren't, at any given time, scandalized by code you wrote five or even three years ago, you're not learning anywhere near enough",
+    "d": "fab0b9902eb61423df7aea8e532fe409f014dca8b55da1e13d283d3dd58d84c3",
+    "hash": "1eb6e69ca54e38a9b30d4e80b7f69f9dbb10f81579e635dc49557fc16f21e911",
+    "r": "23fac8b0b25d73c588da91d848d7ecdde1873e140f953db44556f9b83ff25c16",
+    "s": "635f39f10fff1dd15b4b958de19e1539e344d7861379d5beee98fb00fb5d1012",
+    "nonce": "5798a2f0d8138580265d20e0a8fd545063f62696d2b19c66ba8a50a799427228"
+  },
+  {
+    "description": "The question of whether computers can think is like the question of whether submarines can swim.",
+    "d": "3c1384240303d12646b8b7c550524a3bb55c44bd620d379acda1149ebf3b9d4c",
+    "hash": "179fd85cbe8797f314f07f732438db0682da502c7a9aa9da87af39cf126aaeb3",
+    "r": "beea15563a85842ca72fa8e5fe4a63739f40849aff294d0f1061b1bf28f85cc8",
+    "s": "26e81a26dc398a0619651983f1c9ada2dc93de348dafeba40c27fa4c007d2b8b",
+    "nonce": "d37c55a0a470599709f7f64828c69d216daeec322f9cb06dc77bd7d64aebc6ad"
+  },
+  {
+    "description": "Strange key",
+    "d": "0000000000000000000000000000000000000000000000000000000000000001",
+    "hash": "a0dc65ffca799873cbea0ac274015b9526505daaaed385155425f7337704883e",
+    "r": "934B1EA10A4B3C1757E2B0C017D0B6143CE3C9A7E6A4A49860D7A6AB210EE3D8",
+    "s": "2442CE9D2B916064108014783E923EC36B49743E2FFA1C4496F01A512AAFD9E5",
+    "nonce": "8f8a276c19f4149656b280621e358cce24f5f52542772691ee69063b74f15d15"
+  },
+  {
+    "description": "Strange hash",
+    "d": "0000000000000000000000000000000000000000000000000000000000000001",
+    "hash": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+    "r": "7CB38CC5712E9E11A767615F6080DBC111C9CDD613EB98999FD92A86BAFD4540",
+    "s": "7923CA1F4D03471D2866F776EF8A6D3CAC099B427331AEB245AA9DAFEDDCF115",
+    "nonce": "71139aac71b52f7d5961915af1b30f94baf35e39b0043c33d41a57d476a8905c"
+  },
+  {
+    "description": "Strange hash",
+    "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
+    "hash": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+    "r": "A7F83B5963EAF5332C633327CC967BE8F4166D3F1E0B77F9761D8F4E42211E9A",
+    "s": "58AAE31BE1EB1E496923BBE8CA5E843CFB89F4D986D61D4EDFD7D6FC3C9CF62C",
+    "nonce": "1adee7d00425e9742db820dc008f8c6f6b018bc27d7c1160f33f6ee793876a79"
+  },
+  {
+    "description": "Strange hash",
+    "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140",
+    "hash": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364144",
+    "r": "B738A4841F5D886763B94E6338A1174516164914917B7B59A14C911223E5AC47",
+    "s": "5B66FEE052ED5D21AF55FC5DF6A26C748774FBF4EFE265436A2A46E9CB27F661",
+    "nonce": "6ce2334dce109c68a4171a11dd00478154b6a83af0a68301b8ec0060a5cec58e"
+  },
+  {
+    "d": "2bdbaeb8139ae47b603c684269f765a088397adbe65c017dfc6d19819b44041d",
+    "hash": "3574cabd6d7c35e2657d7736e5971d99b12f506a81772097b3ed18b893b2624c",
+    "r": "2fc0aa6e71246a10252e542ee365b793c7c53f634007937efb0bde8d77c802b0",
+    "s": "7707ee733223f98a19044b24e4471e498b288d98f9413e5eddff2248438e62af",
+    "nonce": "42b8dbad2a90c75d979eb9e2e7dc36213720a2e0188d2c5f2103c4b958f62d9d"
+  },
+  {
+    "d": "c0c77d7b7c24cf4ee08d8c368a3b0bcc3ac17c949b6a8455287cbe065cfc088c",
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+    "d": "31fdc25a290e40a15b8acb67067711921c4f46f29ddef89b075f89b2c6ec3ac7",
+    "hash": "89b709cadf8fc185910f3107f7c47927188f16f4525e8886e40e99a9f8e2211f",
+    "r": "090e1b882218ec68b3f0ca9a9369135ccbf48b5915c05ede0169931aba0d9be1",
+    "s": "47c0c73923f806a981db903c9d594048ba645b88a9e89e4f4fc642a555b9d45b",
+    "nonce": "0001e5f8ec0cd8e844def2efd80ae9141bac21b3bcfc73eb779efa88f72f0181"
+  },
+  {
+    "d": "47df31753e5db1db1a04513c000328d81007cbc9af6d328ae6b6acae02343c69",
+    "hash": "235c1d402d5f36619d93b7bf82da697e17a6597af1386dfa2d3e5303603040d4",
+    "r": "f98d6053ab566c86d44835234eeb4210ce960c2d1ac0e107faf3c7afba567176",
+    "s": "7ff983f565623519ee8306455a59633137a471fe3365ff216fb14b1bd3453f2f",
+    "nonce": "41b2b7d8c3181b470665483e5c8813ba8b2f2bab72a8999270ba0cc169f7ad2e"
+  },
+  {
+    "d": "0985adbec207a500836fe4728b835bc3608a589dce599d0d02bf996a3f83e56a",
+    "hash": "85cc1dbdf5cb872b3f8a309dda3a4ab664655a47f4e0c411e47f6d5e72002e71",
+    "r": "d354a342846fbbd22ff1f9ed297710ecf6028e48e1f4afb4ec432e3d6b19732c",
+    "s": "06e48310ee997bcc0da988b1949c1b4ba984c7a4942138dee91b4440f457b739",
+    "nonce": "86eaab8428fe0ed616a14384b0e3f47d00eee72f6b90bd304b2b185ba5504d9b"
+  },
+  {
+    "d": "eae6a8ee86a45d950116fac7f7a63a07d9368fd091bff4d7e194c6f9510005c2",
+    "hash": "f620287e4b4ca62f16df9abb1fd436e6b1784691118202f139e92f3a76be32be",
+    "r": "0e3b9a55b6e7f0e5424f73d30674c0308b146f0c6d93dca0b6b3c38a56c79844",
+    "s": "5185ec2abcd418177c604f48de400e9ef3236434618985c6fd9529560f020459",
+    "nonce": "446dbfd7d60a776650dc60a5f4f51f4175e7358bbce92fde9be49f3ab50816e4"
+  },
+  {
+    "d": "874595ec01e4cc1a9fd191caad335a932a0f605d61121a6b2c72525a23e3e0f0",
+    "hash": "51498c10852cb9846e2130abde821fe27b794e9c068360ee7077f42a9840a21a",
+    "r": "a51d4f850b3870c9a242acacf0c7095bb157c7b5b55dfaa375da7426e0f2ab2a",
+    "s": "42a7107841274c258abc64350d82fd57577dd2089e6a3edd8f480ebbaae1460f",
+    "nonce": "4e41047d7b7a7fff498c28005a837a5363ae017e2ce028ddc193721da09fb6a7"
+  },
+  {
+    "d": "4fd3cf3ac6813e3dc6946995af54ec0d8abc7fa905c54f0a6857b21f81dd97b7",
+    "hash": "24f1504831bdc1979ae9b4c0e1cb09405b9764c2f5b12545abc1c54053bffd65",
+    "r": "4302a5c5505856bf087973bd7c644fb88a892ccf1e77343dd117a849ef1db292",
+    "s": "00024cd5588e6c79939ccd5f3f575020f6b25afed883a9f0140cdbc9d9642b44",
+    "nonce": "2f4c275fd701c3cb5d76b36e460a4f152a911f599f7ac089b3f7d498f6279672"
+  },
+  {
+    "d": "a2e3d846d86fc0ca5b8233ae22651fd291645144b925566530c783a902da5a77",
+    "hash": "7cb8a3fa51edd6da0737efe5468e95a0516234174638becf7b85b92cf22657e5",
+    "r": "568b8e85c32591d5b1b98f2c57e30d67a1d06713b0facca47ec35f1edf7fd742",
+    "s": "39fd30ec02cac40af4930499b92cc3aae96b352c761ab3fa0a94e9b968d6d2dc",
+    "nonce": "e264acd0db9e9a7d082d8752eadaec47b36d1048720434433fccadee3da7dcae"
+  },
+  {
+    "d": "5069bc43b5ea0fd6b5592ebb2f42ecfb724fd49d3f614c4aa325f699834d9cca",
+    "hash": "45463df0feb8c1d430378885f55af319dfeb8a91ea6d6437bfd872915c7ed0c7",
+    "r": "ae3fa025f861499329fb8564fb89e9f24360675d1c64ebfc31eb28e70e344d22",
+    "s": "053d89b9ba58c5b52226db4dbbe55581a45d0799cf5785204b694343132d758d",
+    "nonce": "1d22b19b0be50070e8326caf904b71c1898b778eb0260a5a8b16aa3ed92f4cc6"
+  },
+  {
+    "d": "2dd44a5fad11c15923b559a9e3703bb563b4537615f066f7e28115ddb4d6c69f",
+    "hash": "98cd3987aca3b90b1ebf4aaf7da8bde84f089541d23752d10fdf71b1327400ce",
+    "r": "b59dc6c4de42a6b10a254d17d7815aa502a7f71f7df585df2e6a2a9b28522396",
+    "s": "53c50718bbcef1f3b896c55aaea6a11eb80d109f9b5ab3fa7a8250b6484e43a4",
+    "nonce": "e4b4d0c51b1d9dd66603610efc842f273c959c93f639a94048b202d16f3fb92e"
+  },
+  {
+    "d": "cca9fbcc1b41e5a95d369eaa6ddcff73b61a4efaa279cfc6567e8daa39cbaf50",
+    "hash": "af2bdbe1aa9b6ec1e2ade1d694f41fc71a831d0268e9891562113d8a62add1bf",
+    "r": "AF340DAF02CC15C8D5D08D7735DFE6B98A474ED373BDB5FBECF7571BE52B3842",
+    "s": "5009FB27F37034A9B24B707B7C6B79CA23DDEF9E25F7282E8A797EFE53A8F124",
+    "nonce": "2df40ca70e639d89528a6b670d9d48d9165fdc0febc0974056bdce192b8e16a3"
+  },
+  {
+    "d": "22a47fa09a223f2aa079edf85a7c2d4f8720ee63e502ee2869afab7de234b80c",
+    "hash": "251afd3f20ab4a307ecd50f3f84fd34097f2888505642dacce06c6ffa048ccf0",
+    "r": "1008E236FA8CD0F25DF4482DDDBB622E8A8B26EF0BA731719458DE3CCD93805B",
+    "s": "32F8EBE514BA5F672466EBA334639282616BB3C2F0AB09998037513D1F9E3D6D",
+    "nonce": "c5186174691d589ad5fec3d34deac8a1a2b4156fd87a27ea8961dffe5d056ae9"
+  }
+]
diff --git a/test_vectors/test_vectors.go b/test_vectors/test_vectors.go
index 54bdd4c..0b69e78 100644
--- a/test_vectors/test_vectors.go
+++ b/test_vectors/test_vectors.go
@@ -7,6 +7,7 @@ var (
 	JacobiPointVectors          []*JacobiPointVector
 	AffineMultiplicationVectors []*AffineMultiplicationVector
 	NegatedPointVectors         []*NegatedPointVector
+	ECDSAVectors                []*ECDSAVector
 )
 
 func init() {
@@ -36,4 +37,9 @@ func init() {
 	if err != nil {
 		panic(err)
 	}
+
+	ECDSAVectors, err = loadECDSAVectors()
+	if err != nil {
+		panic(err)
+	}
 }