// Copyright 2022 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package ecdh_test import ( "bytes" "crypto" "crypto/cipher" "crypto/ecdh" "crypto/rand" "crypto/sha256" "encoding/hex" "fmt" "internal/testenv" "io" "os" "os/exec" "path/filepath" "regexp" "strings" "testing" "golang.org/x/crypto/chacha20" ) // Check that PublicKey and PrivateKey implement the interfaces documented in // crypto.PublicKey and crypto.PrivateKey. var _ interface { Equal(x crypto.PublicKey) bool } = &ecdh.PublicKey{} var _ interface { Public() crypto.PublicKey Equal(x crypto.PrivateKey) bool } = &ecdh.PrivateKey{} func TestECDH(t *testing.T) { testAllCurves(t, func(t *testing.T, curve ecdh.Curve) { aliceKey, err := curve.GenerateKey(rand.Reader) if err != nil { t.Fatal(err) } bobKey, err := curve.GenerateKey(rand.Reader) if err != nil { t.Fatal(err) } alicePubKey, err := curve.NewPublicKey(aliceKey.PublicKey().Bytes()) if err != nil { t.Error(err) } if !bytes.Equal(aliceKey.PublicKey().Bytes(), alicePubKey.Bytes()) { t.Error("encoded and decoded public keys are different") } if !aliceKey.PublicKey().Equal(alicePubKey) { t.Error("encoded and decoded public keys are different") } alicePrivKey, err := curve.NewPrivateKey(aliceKey.Bytes()) if err != nil { t.Error(err) } if !bytes.Equal(aliceKey.Bytes(), alicePrivKey.Bytes()) { t.Error("encoded and decoded private keys are different") } if !aliceKey.Equal(alicePrivKey) { t.Error("encoded and decoded private keys are different") } bobSecret, err := bobKey.ECDH(aliceKey.PublicKey()) if err != nil { t.Fatal(err) } aliceSecret, err := aliceKey.ECDH(bobKey.PublicKey()) if err != nil { t.Fatal(err) } if !bytes.Equal(bobSecret, aliceSecret) { t.Error("two ECDH computations came out different") } }) } type countingReader struct { r io.Reader n int } func (r *countingReader) Read(p []byte) (int, error) { n, err := r.r.Read(p) r.n += n return n, err } func TestGenerateKey(t *testing.T) { testAllCurves(t, func(t *testing.T, curve ecdh.Curve) { r := &countingReader{r: rand.Reader} k, err := curve.GenerateKey(r) if err != nil { t.Fatal(err) } // GenerateKey does rejection sampling. If the masking works correctly, // the probability of a rejection is 1-ord(G)/2^ceil(log2(ord(G))), // which for all curves is small enough (at most 2^-32, for P-256) that // a bit flip is more likely to make this test fail than bad luck. // Account for the extra MaybeReadByte byte, too. if got, expected := r.n, len(k.Bytes())+1; got > expected { t.Errorf("expected GenerateKey to consume at most %v bytes, got %v", expected, got) } }) } var vectors = map[ecdh.Curve]struct { PrivateKey, PublicKey string PeerPublicKey string SharedSecret string }{ // NIST vectors from CAVS 14.1, ECC CDH Primitive (SP800-56A). ecdh.P256(): { PrivateKey: "7d7dc5f71eb29ddaf80d6214632eeae03d9058af1fb6d22ed80badb62bc1a534", PublicKey: "04ead218590119e8876b29146ff89ca61770c4edbbf97d38ce385ed281d8a6b230" + "28af61281fd35e2fa7002523acc85a429cb06ee6648325389f59edfce1405141", PeerPublicKey: "04700c48f77f56584c5cc632ca65640db91b6bacce3a4df6b42ce7cc838833d287" + "db71e509e3fd9b060ddb20ba5c51dcc5948d46fbf640dfe0441782cab85fa4ac", SharedSecret: "46fc62106420ff012e54a434fbdd2d25ccc5852060561e68040dd7778997bd7b", }, ecdh.P384(): { PrivateKey: "3cc3122a68f0d95027ad38c067916ba0eb8c38894d22e1b15618b6818a661774ad463b205da88cf699ab4d43c9cf98a1", PublicKey: "049803807f2f6d2fd966cdd0290bd410c0190352fbec7ff6247de1302df86f25d34fe4a97bef60cff548355c015dbb3e5f" + "ba26ca69ec2f5b5d9dad20cc9da711383a9dbe34ea3fa5a2af75b46502629ad54dd8b7d73a8abb06a3a3be47d650cc99", PeerPublicKey: "04a7c76b970c3b5fe8b05d2838ae04ab47697b9eaf52e764592efda27fe7513272734466b400091adbf2d68c58e0c50066" + "ac68f19f2e1cb879aed43a9969b91a0839c4c38a49749b661efedf243451915ed0905a32b060992b468c64766fc8437a", SharedSecret: "5f9d29dc5e31a163060356213669c8ce132e22f57c9a04f40ba7fcead493b457e5621e766c40a2e3d4d6a04b25e533f1", }, // For some reason all field elements in the test vector (both scalars and // base field elements), but not the shared secret output, have two extra // leading zero bytes (which in big-endian are irrelevant). Removed here. ecdh.P521(): { PrivateKey: "017eecc07ab4b329068fba65e56a1f8890aa935e57134ae0ffcce802735151f4eac6564f6ee9974c5e6887a1fefee5743ae2241bfeb95d5ce31ddcb6f9edb4d6fc47", PublicKey: "0400602f9d0cf9e526b29e22381c203c48a886c2b0673033366314f1ffbcba240ba42f4ef38a76174635f91e6b4ed34275eb01c8467d05ca80315bf1a7bbd945f550a5" + "01b7c85f26f5d4b2d7355cf6b02117659943762b6d1db5ab4f1dbc44ce7b2946eb6c7de342962893fd387d1b73d7a8672d1f236961170b7eb3579953ee5cdc88cd2d", PeerPublicKey: "0400685a48e86c79f0f0875f7bc18d25eb5fc8c0b07e5da4f4370f3a9490340854334b1e1b87fa395464c60626124a4e70d0f785601d37c09870ebf176666877a2046d" + "01ba52c56fc8776d9e8f5db4f0cc27636d0b741bbe05400697942e80b739884a83bde99e0f6716939e632bc8986fa18dccd443a348b6c3e522497955a4f3c302f676", SharedSecret: "005fc70477c3e63bc3954bd0df3ea0d1f41ee21746ed95fc5e1fdf90930d5e136672d72cc770742d1711c3c3a4c334a0ad9759436a4d3c5bf6e74b9578fac148c831", }, // X25519 test vector from RFC 7748, Section 6.1. ecdh.X25519(): { PrivateKey: "77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a", PublicKey: "8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a", PeerPublicKey: "de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f", SharedSecret: "4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742", }, } func TestVectors(t *testing.T) { testAllCurves(t, func(t *testing.T, curve ecdh.Curve) { v := vectors[curve] key, err := curve.NewPrivateKey(hexDecode(t, v.PrivateKey)) if err != nil { t.Fatal(err) } if !bytes.Equal(key.PublicKey().Bytes(), hexDecode(t, v.PublicKey)) { t.Error("public key derived from the private key does not match") } peer, err := curve.NewPublicKey(hexDecode(t, v.PeerPublicKey)) if err != nil { t.Fatal(err) } secret, err := key.ECDH(peer) if err != nil { t.Fatal(err) } if !bytes.Equal(secret, hexDecode(t, v.SharedSecret)) { t.Errorf("shared secret does not match: %x %x %s %x", secret, sha256.Sum256(secret), v.SharedSecret, sha256.Sum256(hexDecode(t, v.SharedSecret))) } }) } func hexDecode(t *testing.T, s string) []byte { b, err := hex.DecodeString(s) if err != nil { t.Fatal("invalid hex string:", s) } return b } func TestString(t *testing.T) { testAllCurves(t, func(t *testing.T, curve ecdh.Curve) { s := fmt.Sprintf("%s", curve) if s[:1] != "P" && s[:1] != "X" { t.Errorf("unexpected Curve string encoding: %q", s) } }) } func TestX25519Failure(t *testing.T) { identity := hexDecode(t, "0000000000000000000000000000000000000000000000000000000000000000") lowOrderPoint := hexDecode(t, "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800") randomScalar := make([]byte, 32) rand.Read(randomScalar) t.Run("identity point", func(t *testing.T) { testX25519Failure(t, randomScalar, identity) }) t.Run("low order point", func(t *testing.T) { testX25519Failure(t, randomScalar, lowOrderPoint) }) } func testX25519Failure(t *testing.T, private, public []byte) { priv, err := ecdh.X25519().NewPrivateKey(private) if err != nil { t.Fatal(err) } pub, err := ecdh.X25519().NewPublicKey(public) if err != nil { t.Fatal(err) } secret, err := priv.ECDH(pub) if err == nil { t.Error("expected ECDH error") } if secret != nil { t.Errorf("unexpected ECDH output: %x", secret) } } var invalidPrivateKeys = map[ecdh.Curve][]string{ ecdh.P256(): { // Bad lengths. "", "01", "01010101010101010101010101010101010101010101010101010101010101", "000101010101010101010101010101010101010101010101010101010101010101", strings.Repeat("01", 200), // Zero. "0000000000000000000000000000000000000000000000000000000000000000", // Order of the curve and above. "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632552", "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", }, ecdh.P384(): { // Bad lengths. "", "01", "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101", "00010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101", strings.Repeat("01", 200), // Zero. "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", // Order of the curve and above. "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973", "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974", "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", }, ecdh.P521(): { // Bad lengths. "", "01", "0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101", "00010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101", strings.Repeat("01", 200), // Zero. "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", // Order of the curve and above. "01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", "01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e9138640a", "11fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff4a30d0f077e5f2cd6ff980291ee134ba0776b937113388f5d76df6e3d2270c812", }, ecdh.X25519(): { // X25519 only rejects bad lengths. "", "01", "01010101010101010101010101010101010101010101010101010101010101", "000101010101010101010101010101010101010101010101010101010101010101", strings.Repeat("01", 200), }, } func TestNewPrivateKey(t *testing.T) { testAllCurves(t, func(t *testing.T, curve ecdh.Curve) { for _, input := range invalidPrivateKeys[curve] { k, err := curve.NewPrivateKey(hexDecode(t, input)) if err == nil { t.Errorf("unexpectedly accepted %q", input) } else if k != nil { t.Error("PrivateKey was not nil on error") } else if strings.Contains(err.Error(), "boringcrypto") { t.Errorf("boringcrypto error leaked out: %v", err) } } }) } var invalidPublicKeys = map[ecdh.Curve][]string{ ecdh.P256(): { // Bad lengths. "", "04", strings.Repeat("04", 200), // Infinity. "00", // Compressed encodings. "036b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", "02e2534a3532d08fbba02dde659ee62bd0031fe2db785596ef509302446b030852", // Points not on the curve. "046b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c2964fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f6", "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", }, ecdh.P384(): { // Bad lengths. "", "04", strings.Repeat("04", 200), // Infinity. "00", // Compressed encodings. "03aa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7", "0208d999057ba3d2d969260045c55b97f089025959a6f434d651d207d19fb96e9e4fe0e86ebe0e64f85b96a9c75295df61", // Points not on the curve. "04aa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab73617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e60", "04000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", }, ecdh.P521(): { // Bad lengths. "", "04", strings.Repeat("04", 200), // Infinity. "00", // Compressed encodings. "030035b5df64ae2ac204c354b483487c9070cdc61c891c5ff39afc06c5d55541d3ceac8659e24afe3d0750e8b88e9f078af066a1d5025b08e5a5e2fbc87412871902f3", "0200c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", // Points not on the curve. "0400c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16651", "04000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", }, ecdh.X25519(): {}, } func TestNewPublicKey(t *testing.T) { testAllCurves(t, func(t *testing.T, curve ecdh.Curve) { for _, input := range invalidPublicKeys[curve] { k, err := curve.NewPublicKey(hexDecode(t, input)) if err == nil { t.Errorf("unexpectedly accepted %q", input) } else if k != nil { t.Error("PublicKey was not nil on error") } else if strings.Contains(err.Error(), "boringcrypto") { t.Errorf("boringcrypto error leaked out: %v", err) } } }) } func testAllCurves(t *testing.T, f func(t *testing.T, curve ecdh.Curve)) { t.Run("P256", func(t *testing.T) { f(t, ecdh.P256()) }) t.Run("P384", func(t *testing.T) { f(t, ecdh.P384()) }) t.Run("P521", func(t *testing.T) { f(t, ecdh.P521()) }) t.Run("X25519", func(t *testing.T) { f(t, ecdh.X25519()) }) } func BenchmarkECDH(b *testing.B) { benchmarkAllCurves(b, func(b *testing.B, curve ecdh.Curve) { c, err := chacha20.NewUnauthenticatedCipher(make([]byte, 32), make([]byte, 12)) if err != nil { b.Fatal(err) } rand := cipher.StreamReader{ S: c, R: zeroReader, } peerKey, err := curve.GenerateKey(rand) if err != nil { b.Fatal(err) } peerShare := peerKey.PublicKey().Bytes() b.ResetTimer() b.ReportAllocs() var allocationsSink byte for i := 0; i < b.N; i++ { key, err := curve.GenerateKey(rand) if err != nil { b.Fatal(err) } share := key.PublicKey().Bytes() peerPubKey, err := curve.NewPublicKey(peerShare) if err != nil { b.Fatal(err) } secret, err := key.ECDH(peerPubKey) if err != nil { b.Fatal(err) } allocationsSink ^= secret[0] ^ share[0] } }) } func benchmarkAllCurves(b *testing.B, f func(b *testing.B, curve ecdh.Curve)) { b.Run("P256", func(b *testing.B) { f(b, ecdh.P256()) }) b.Run("P384", func(b *testing.B) { f(b, ecdh.P384()) }) b.Run("P521", func(b *testing.B) { f(b, ecdh.P521()) }) b.Run("X25519", func(b *testing.B) { f(b, ecdh.X25519()) }) } type zr struct{} // Read replaces the contents of dst with zeros. It is safe for concurrent use. func (zr) Read(dst []byte) (n int, err error) { for i := range dst { dst[i] = 0 } return len(dst), nil } var zeroReader = zr{} const linkerTestProgram = ` package main import "crypto/ecdh" import "crypto/rand" func main() { curve := ecdh.P384() key, err := curve.GenerateKey(rand.Reader) if err != nil { panic(err) } _, err = curve.NewPublicKey(key.PublicKey().Bytes()) if err != nil { panic(err) } _, err = curve.NewPrivateKey(key.Bytes()) if err != nil { panic(err) } _, err = key.ECDH(key.PublicKey()) if err != nil { panic(err) } println("OK") } ` // TestLinker ensures that using one curve does not bring all other // implementations into the binary. This also guarantees that govulncheck can // avoid warning about a curve-specific vulnerability if that curve is not used. func TestLinker(t *testing.T) { if testing.Short() { t.Skip("test requires running 'go build'") } testenv.MustHaveGoBuild(t) dir := t.TempDir() hello := filepath.Join(dir, "hello.go") err := os.WriteFile(hello, []byte(linkerTestProgram), 0664) if err != nil { t.Fatal(err) } run := func(args ...string) string { cmd := exec.Command(args[0], args[1:]...) cmd.Dir = dir out, err := cmd.CombinedOutput() if err != nil { t.Fatalf("%v: %v\n%s", args, err, string(out)) } return string(out) } goBin := testenv.GoToolPath(t) run(goBin, "build", "-o", "hello.exe", "hello.go") if out := run("./hello.exe"); out != "OK\n" { t.Error("unexpected output:", out) } // List all text symbols under crypto/... and make sure there are some for // P384, but none for the other curves. var consistent bool nm := run(goBin, "tool", "nm", "hello.exe") for _, match := range regexp.MustCompile(`(?m)T (crypto/.*)$`).FindAllStringSubmatch(nm, -1) { symbol := strings.ToLower(match[1]) if strings.Contains(symbol, "p384") { consistent = true } if strings.Contains(symbol, "p224") || strings.Contains(symbol, "p256") || strings.Contains(symbol, "p521") { t.Errorf("unexpected symbol in program using only ecdh.P384: %s", match[1]) } } if !consistent { t.Error("no P384 symbols found in program using ecdh.P384, test is broken") } } func TestMismatchedCurves(t *testing.T) { curves := []struct { name string curve ecdh.Curve }{ {"P256", ecdh.P256()}, {"P384", ecdh.P384()}, {"P521", ecdh.P521()}, {"X25519", ecdh.X25519()}, } for _, privCurve := range curves { priv, err := privCurve.curve.GenerateKey(rand.Reader) if err != nil { t.Fatalf("failed to generate test key: %s", err) } for _, pubCurve := range curves { if privCurve == pubCurve { continue } t.Run(fmt.Sprintf("%s/%s", privCurve.name, pubCurve.name), func(t *testing.T) { pub, err := pubCurve.curve.GenerateKey(rand.Reader) if err != nil { t.Fatalf("failed to generate test key: %s", err) } expected := "crypto/ecdh: private key and public key curves do not match" _, err = priv.ECDH(pub.PublicKey()) if err.Error() != expected { t.Fatalf("unexpected error: want %q, got %q", expected, err) } }) } } }