Benchmark Context

Date: 2026-01-20T15:38:19+00:00
Commit: 82e269131b125cec6164c70a1a68fe67b7160816
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3256

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.06 μs

Name	Core/BN/ModAdd/256
Real Time	60.82
Time Unit	ns
Iterations	11373926

0.07 μs

Name	Core/BN/ModAdd/512
Real Time	71.87
Time Unit	ns
Iterations	9758469

0.10 μs

Name	Core/BN/ModAdd/1024
Real Time	96.16
Time Unit	ns
Iterations	7308975

0.16 μs

Name	Core/BN/ModAdd/2048
Real Time	160.98
Time Unit	ns
Iterations	4423599

0.26 μs

Name	Core/BN/ModAdd/4096
Real Time	260.86
Time Unit	ns
Iterations	2742914

Mod Sub

0.07 μs

Name	Core/BN/ModSubtract/256
Real Time	67.67
Time Unit	ns
Iterations	10384649

0.08 μs

Name	Core/BN/ModSubtract/512
Real Time	78.78
Time Unit	ns
Iterations	8680257

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	107.04
Time Unit	ns
Iterations	6489415

0.18 μs

Name	Core/BN/ModSubtract/2048
Real Time	178.80
Time Unit	ns
Iterations	3903863

0.32 μs

Name	Core/BN/ModSubtract/4096
Real Time	320.73
Time Unit	ns
Iterations	2164873

Mod Mul

0.15 μs

Name	Core/BN/ModMultiply/256
Real Time	151.20
Time Unit	ns
Iterations	4629139

0.30 μs

Name	Core/BN/ModMultiply/512
Real Time	296.68
Time Unit	ns
Iterations	2369001

0.84 μs

Name	Core/BN/ModMultiply/1024
Real Time	842.66
Time Unit	ns
Iterations	839009

2.89 μs

Name	Core/BN/ModMultiply/2048
Real Time	2890.47
Time Unit	ns
Iterations	242650

11.51 μs

Name	Core/BN/ModMultiply/4096
Real Time	11506.72
Time Unit	ns
Iterations	60781

Mod Exponentiate

16.19 μs

Name	Core/BN/ModExponentiate/256
Real Time	16189.58
Time Unit	ns
Iterations	43254

42.12 μs

Name	Core/BN/ModExponentiate/512
Real Time	42116.04
Time Unit	ns
Iterations	16699

311.01 μs

Name	Core/BN/ModExponentiate/1024
Real Time	311008.40
Time Unit	ns
Iterations	2248

2212.39 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2212388.91
Time Unit	ns
Iterations	317

16537.80 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16537804.02
Time Unit	ns
Iterations	42

Mod Invert

17.53 μs

Name	Core/BN/ModInvert/256
Real Time	17533.98
Time Unit	ns
Iterations	39804

37.46 μs

Name	Core/BN/ModInvert/512
Real Time	37459.88
Time Unit	ns
Iterations	18757

86.68 μs

Name	Core/BN/ModInvert/1024
Real Time	86679.70
Time Unit	ns
Iterations	7958

222.42 μs

Name	Core/BN/ModInvert/2048
Real Time	222420.99
Time Unit	ns
Iterations	3147

670.57 μs

Name	Core/BN/ModInvert/4096
Real Time	670570.17
Time Unit	ns
Iterations	1044

GCD

23.07 μs

Name	Core/BN/GCD/256
Real Time	23067.74
Time Unit	ns
Iterations	30845

50.65 μs

Name	Core/BN/GCD/512
Real Time	50654.76
Time Unit	ns
Iterations	13890

125.61 μs

Name	Core/BN/GCD/1024
Real Time	125608.73
Time Unit	ns
Iterations	5567

346.72 μs

Name	Core/BN/GCD/2048
Real Time	346718.98
Time Unit	ns
Iterations	2016

1115.22 μs

Name	Core/BN/GCD/4096
Real Time	1115223.59
Time Unit	ns
Iterations	634

GCD with RSA Modulus

22.83 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	22828.71
Time Unit	ns
Iterations	30047

50.09 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	50089.00
Time Unit	ns
Iterations	14019

125.93 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	125932.59
Time Unit	ns
Iterations	5650

345.12 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	345117.90
Time Unit	ns
Iterations	2014

1105.14 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1105137.18
Time Unit	ns
Iterations	633

Batch(16) GCD with RSA Modulus

25.15 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25147.74
Time Unit	ns
Iterations	27628

54.61 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	54607.29
Time Unit	ns
Iterations	12690

137.80 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	137804.15
Time Unit	ns
Iterations	4998

391.91 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	391909.78
Time Unit	ns
Iterations	1785

1292.66 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1292662.88
Time Unit	ns
Iterations	545

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	357.28
Time Unit	ns
Iterations	1905523

0.36 μs

Name	Core/EC/Add/Ed25519
Real Time	355.47
Time Unit	ns
Iterations	1975781

Add (Constant Time)

2.26 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	2258.08
Time Unit	ns
Iterations	311504

0.36 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	356.98
Time Unit	ns
Iterations	1955983

Multiply

41.47 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41471.29
Time Unit	ns
Iterations	16867

64.07 μs

Name	Core/EC/Multiply/Ed25519
Real Time	64065.23
Time Unit	ns
Iterations	10939

Multiply (Variable Time)

33.24 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	33235.05
Time Unit	ns
Iterations	21518

64.03 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	64028.19
Time Unit	ns
Iterations	10938

Multiply Generator

20.01 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	20009.55
Time Unit	ns
Iterations	34787

14.21 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14208.83
Time Unit	ns
Iterations	49378

Multipliply Generator (Variable Time)

20.10 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	20099.76
Time Unit	ns
Iterations	34922

7.18 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7179.00
Time Unit	ns
Iterations	97277

MulAdd

63.75 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	63747.47
Time Unit	ns
Iterations	11012

78.82 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	78815.71
Time Unit	ns
Iterations	8871

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.29 μs

Name	Core/Hash/SHA256/16
Real Time	292.75
Time Unit	ns
Iterations	2397962

0.33 μs

Name	Core/Hash/SHA256/64
Real Time	332.23
Time Unit	ns
Iterations	2106949

0.45 μs

Name	Core/Hash/SHA256/256
Real Time	452.38
Time Unit	ns
Iterations	1542679

0.93 μs

Name	Core/Hash/SHA256/1024
Real Time	932.46
Time Unit	ns
Iterations	741493

2.86 μs

Name	Core/Hash/SHA256/4096
Real Time	2857.74
Time Unit	ns
Iterations	244640

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

1.05 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	1047.77
Time Unit	ns
Iterations	670842

1.09 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	1089.71
Time Unit	ns
Iterations	643189

1.21 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	1205.50
Time Unit	ns
Iterations	575698

1.69 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1690.29
Time Unit	ns
Iterations	414963

3.66 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	3663.86
Time Unit	ns
Iterations	193390

AES-GCM-128

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.92 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	924.33
Time Unit	ns
Iterations	754988

1.64 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1642.98
Time Unit	ns
Iterations	426355

AES-GCM-256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.97 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	970.82
Time Unit	ns
Iterations	719098

1.79 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1786.54
Time Unit	ns
Iterations	390187

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

85.24 μs

Name	BP/ElGamal/Commit/3
Real Time	85235.28
Time Unit	ns
Iterations	8230

95.71 μs

Name	BP/ElGamal/Commit/4
Real Time	95710.29
Time Unit	ns
Iterations	7372

Rerand

66.46 μs

Name	BP/ElGamal/Rerand/3
Real Time	66462.44
Time Unit	ns
Iterations	10590

80.50 μs

Name	BP/ElGamal/Rerand/4
Real Time	80498.46
Time Unit	ns
Iterations	8828

Add

4.59 μs

Name	BP/ElGamal/Add/3
Real Time	4586.13
Time Unit	ns
Iterations	151962

0.76 μs

Name	BP/ElGamal/Add/4
Real Time	761.99
Time Unit	ns
Iterations	920119

Add Scalar

20.68 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20678.89
Time Unit	ns
Iterations	33545

7.77 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7770.29
Time Unit	ns
Iterations	90305

Mul Scalar

82.99 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82988.22
Time Unit	ns
Iterations	8452

128.26 μs

Name	BP/ElGamal/MulScalar/4
Real Time	128264.46
Time Unit	ns
Iterations	5429

Paillier

Operation \ Bit length

2048 bits

Generate Key

63.98 ms

Name	BP/Paillier/Gen
Real Time	63975877.46
Time Unit	ns
Iterations	13

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4516267.38
Time Unit	ns
Iterations	155

Encrypt

8.70 ms

Name	BP/Paillier/Pub-Enc
Real Time	8699317.22
Time Unit	ns
Iterations	82

Decrypt

4.74 ms

Name	BP/Paillier/Dec
Real Time	4738941.38
Time Unit	ns
Iterations	148

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11625.63
Time Unit	ns
Iterations	60018

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	13419.43
Time Unit	ns
Iterations	52028

Mul-Scalar

8.32 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8324281.24
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.98 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189982.30
Time Unit	ns
Iterations	3669

190.27 μs

Name	tdh2-encrypt-1P/30/256
Real Time	190272.53
Time Unit	ns
Iterations	3676

270.76 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	270757.25
Time Unit	ns
Iterations	2562

270.13 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	270128.92
Time Unit	ns
Iterations	2579

Verify

241.10 μs

Name	tdh2-verify-1P/4/256
Real Time	241096.14
Time Unit	ns
Iterations	3491

200.82 μs

Name	tdh2-verify-1P/30/256
Real Time	200821.40
Time Unit	ns
Iterations	3481

242.50 μs

Name	tdh2-verify-1P/4/65536
Real Time	242502.01
Time Unit	ns
Iterations	2883

282.81 μs

Name	tdh2-verify-1P/30/65536
Real Time	282809.59
Time Unit	ns
Iterations	2888

Local Decrypt

344.90 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	344904.82
Time Unit	ns
Iterations	2125

344.25 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	344254.37
Time Unit	ns
Iterations	2159

364.96 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	364957.32
Time Unit	ns
Iterations	1809

364.42 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	364421.62
Time Unit	ns
Iterations	1797

Combine

898.38 μs

Name	tdh2-combine-1P/4/256
Real Time	898379.71
Time Unit	ns
Iterations	774

5370.73 μs

Name	tdh2-combine-1P/30/256
Real Time	5370733.69
Time Unit	ns
Iterations	130

978.96 μs

Name	tdh2-combine-1P/4/65536
Real Time	978963.80
Time Unit	ns
Iterations	717

5456.62 μs

Name	tdh2-combine-1P/30/65536
Real Time	5456615.84
Time Unit	ns
Iterations	127

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.43 μs

Name	Crypto/DRBG/String/1024
Real Time	1427.95
Time Unit	ns
Iterations	493500

1.49 μs

Name	Crypto/DRBG/String/2048
Real Time	1487.02
Time Unit	ns
Iterations	469849

1.60 μs

Name	Crypto/DRBG/String/4096
Real Time	1601.65
Time Unit	ns
Iterations	428724

1.82 μs

Name	Crypto/DRBG/String/8192
Real Time	1816.47
Time Unit	ns
Iterations	386724

2.37 μs

Name	Crypto/DRBG/String/16384
Real Time	2367.87
Time Unit	ns
Iterations	296355

3.28 μs

Name	Crypto/DRBG/String/32768
Real Time	3276.65
Time Unit	ns
Iterations	213901

5.11 μs

Name	Crypto/DRBG/String/65536
Real Time	5107.94
Time Unit	ns
Iterations	138386

8.91 μs

Name	Crypto/DRBG/String/131072
Real Time	8907.18
Time Unit	ns
Iterations	80287

16.72 μs

Name	Crypto/DRBG/String/262144
Real Time	16722.88
Time Unit	ns
Iterations	41772

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.67 μs

Name	Crypto/DRBG/Number/256
Real Time	1671.60
Time Unit	ns
Iterations	419537

1.78 μs

Name	Crypto/DRBG/Number/512
Real Time	1776.30
Time Unit	ns
Iterations	390805

1.97 μs

Name	Crypto/DRBG/Number/1024
Real Time	1973.49
Time Unit	ns
Iterations	355679

2.36 μs

Name	Crypto/DRBG/Number/2048
Real Time	2359.09
Time Unit	ns
Iterations	296456

3.13 μs

Name	Crypto/DRBG/Number/4096
Real Time	3126.52
Time Unit	ns
Iterations	224001

Curve

secp256k1

Ed25519

DRBG-Curve

22.17 μs

Name	Crypto/DRBG/Curve/3
Real Time	22173.52
Time Unit	ns
Iterations	31708

16.37 μs

Name	Crypto/DRBG/Curve/4
Real Time	16366.19
Time Unit	ns
Iterations	42725

HMAC

#big number

Commit

2.73 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2727.95
Time Unit	ns
Iterations	257458

2.98 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2981.78
Time Unit	ns
Iterations	235645

3.28 μs

Name	Crypto/Commitment/ComBn/6
Real Time	3276.42
Time Unit	ns
Iterations	212569

3.50 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3503.19
Time Unit	ns
Iterations	199415

3.76 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3758.62
Time Unit	ns
Iterations	185629

4.02 μs

Name	Crypto/Commitment/ComBn/12
Real Time	4019.05
Time Unit	ns
Iterations	174232

4.26 μs

Name	Crypto/Commitment/ComBn/14
Real Time	4259.65
Time Unit	ns
Iterations	163905

4.53 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4527.58
Time Unit	ns
Iterations	154055

4.77 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4773.36
Time Unit	ns
Iterations	146977

5.04 μs

Name	Crypto/Commitment/ComBn/20
Real Time	5039.93
Time Unit	ns
Iterations	139444

Pedersen

Curve

secp256k1

Ed25519

Commit

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

ElGamal

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

85.24 μs

Name	BP/ElGamal/Commit/3
Real Time	85235.28
Time Unit	ns
Iterations	8230

95.71 μs

Name	BP/ElGamal/Commit/4
Real Time	95710.29
Time Unit	ns
Iterations	7372

Rerand

66.46 μs

Name	BP/ElGamal/Rerand/3
Real Time	66462.44
Time Unit	ns
Iterations	10590

80.50 μs

Name	BP/ElGamal/Rerand/4
Real Time	80498.46
Time Unit	ns
Iterations	8828

Add

4.59 μs

Name	BP/ElGamal/Add/3
Real Time	4586.13
Time Unit	ns
Iterations	151962

0.76 μs

Name	BP/ElGamal/Add/4
Real Time	761.99
Time Unit	ns
Iterations	920119

Add Scalar

20.68 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20678.89
Time Unit	ns
Iterations	33545

7.77 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7770.29
Time Unit	ns
Iterations	90305

Mul Scalar

82.99 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82988.22
Time Unit	ns
Iterations	8452

128.26 μs

Name	BP/ElGamal/MulScalar/4
Real Time	128264.46
Time Unit	ns
Iterations	5429

Shamir Secret Sharing

m\n

16.56 μs

Name	BP/Share/Shamir/10/2
Real Time	16564.75
Time Unit	ns
Iterations	42187

18.75 μs

Name	BP/Share/Shamir/10/3
Real Time	18752.35
Time Unit	ns
Iterations	37264

20.79 μs

Name	BP/Share/Shamir/10/4
Real Time	20790.80
Time Unit	ns
Iterations	33814

22.98 μs

Name	BP/Share/Shamir/10/5
Real Time	22979.32
Time Unit	ns
Iterations	30627

25.08 μs

Name	BP/Share/Shamir/10/6
Real Time	25077.09
Time Unit	ns
Iterations	28008

27.21 μs

Name	BP/Share/Shamir/10/7
Real Time	27211.82
Time Unit	ns
Iterations	25838

34.42 μs

Name	BP/Share/Shamir/20/2
Real Time	34416.75
Time Unit	ns
Iterations	20347

38.52 μs

Name	BP/Share/Shamir/20/3
Real Time	38520.06
Time Unit	ns
Iterations	18154

42.76 μs

Name	BP/Share/Shamir/20/4
Real Time	42761.57
Time Unit	ns
Iterations	16315

46.98 μs

Name	BP/Share/Shamir/20/5
Real Time	46975.30
Time Unit	ns
Iterations	14881

51.24 μs

Name	BP/Share/Shamir/20/6
Real Time	51239.20
Time Unit	ns
Iterations	13702

55.69 μs

Name	BP/Share/Shamir/20/7
Real Time	55687.22
Time Unit	ns
Iterations	12637

52.00 μs

Name	BP/Share/Shamir/30/2
Real Time	52003.17
Time Unit	ns
Iterations	13490

58.14 μs

Name	BP/Share/Shamir/30/3
Real Time	58139.41
Time Unit	ns
Iterations	11804

64.68 μs

Name	BP/Share/Shamir/30/4
Real Time	64676.33
Time Unit	ns
Iterations	10828

71.18 μs

Name	BP/Share/Shamir/30/5
Real Time	71177.81
Time Unit	ns
Iterations	9841

78.64 μs

Name	BP/Share/Shamir/30/6
Real Time	78642.07
Time Unit	ns
Iterations	8851

83.86 μs

Name	BP/Share/Shamir/30/7
Real Time	83863.08
Time Unit	ns
Iterations	8389

Horner's rule

m\n

256 bit field

0.48 μs

Name	BP/Share/Horner/3
Real Time	475.27
Time Unit	ns
Iterations	1471851

0.69 μs

Name	BP/Share/Horner/4
Real Time	689.49
Time Unit	ns
Iterations	1018928

1.11 μs

Name	BP/Share/Horner/6
Real Time	1113.90
Time Unit	ns
Iterations	623083

1.57 μs

Name	BP/Share/Horner/8
Real Time	1568.60
Time Unit	ns
Iterations	450395

1.97 μs

Name	BP/Share/Horner/10
Real Time	1972.05
Time Unit	ns
Iterations	355100

3.25 μs

Name	BP/Share/Horner/16
Real Time	3249.91
Time Unit	ns
Iterations	214699

6.65 μs

Name	BP/Share/Horner/32
Real Time	6650.71
Time Unit	ns
Iterations	105437

secp256k1

83.61 μs

Name	BP/Share/ECHorner/3/3
Real Time	83613.63
Time Unit	ns
Iterations	8377

125.65 μs

Name	BP/Share/ECHorner/3/4
Real Time	125651.73
Time Unit	ns
Iterations	5581

209.03 μs

Name	BP/Share/ECHorner/3/6
Real Time	209031.36
Time Unit	ns
Iterations	3337

292.33 μs

Name	BP/Share/ECHorner/3/8
Real Time	292329.68
Time Unit	ns
Iterations	2382

375.72 μs

Name	BP/Share/ECHorner/3/10
Real Time	375715.77
Time Unit	ns
Iterations	1861

627.10 μs

Name	BP/Share/ECHorner/3/16
Real Time	627102.18
Time Unit	ns
Iterations	1119

1295.61 μs

Name	BP/Share/ECHorner/3/32
Real Time	1295607.14
Time Unit	ns
Iterations	540

Ed25519

128.99 μs

Name	BP/Share/ECHorner/4/3
Real Time	128986.17
Time Unit	ns
Iterations	5141

193.46 μs

Name	BP/Share/ECHorner/4/4
Real Time	193460.53
Time Unit	ns
Iterations	3621

322.93 μs

Name	BP/Share/ECHorner/4/6
Real Time	322932.92
Time Unit	ns
Iterations	2171

451.37 μs

Name	BP/Share/ECHorner/4/8
Real Time	451367.62
Time Unit	ns
Iterations	1551

580.64 μs

Name	BP/Share/ECHorner/4/10
Real Time	580636.33
Time Unit	ns
Iterations	1207

967.50 μs

Name	BP/Share/ECHorner/4/16
Real Time	967503.15
Time Unit	ns
Iterations	723

2036.16 μs

Name	BP/Share/ECHorner/4/32
Real Time	2036158.34
Time Unit	ns
Iterations	350

Lagrange interpolation

m\n

256 bit field

36.71 μs

Name	BP/Share/Lagrange/3
Real Time	36707.15
Time Unit	ns
Iterations	19053

52.88 μs

Name	BP/Share/Lagrange/4
Real Time	52884.01
Time Unit	ns
Iterations	11608

94.87 μs

Name	BP/Share/Lagrange/6
Real Time	94868.14
Time Unit	ns
Iterations	7450

143.03 μs

Name	BP/Share/Lagrange/8
Real Time	143034.00
Time Unit	ns
Iterations	4870

200.54 μs

Name	BP/Share/Lagrange/10
Real Time	200541.01
Time Unit	ns
Iterations	3453

431.31 μs

Name	BP/Share/Lagrange/16
Real Time	431310.35
Time Unit	ns
Iterations	1614

1375.59 μs

Name	BP/Share/Lagrange/32
Real Time	1375587.75
Time Unit	ns
Iterations	503

secp256k1

133.35 μs

Name	BP/Share/ECLagrange/3/3
Real Time	133348.99
Time Unit	ns
Iterations	5192

184.14 μs

Name	BP/Share/ECLagrange/3/4
Real Time	184139.58
Time Unit	ns
Iterations	3782

291.39 μs

Name	BP/Share/ECLagrange/3/6
Real Time	291392.00
Time Unit	ns
Iterations	2382

413.24 μs

Name	BP/Share/ECLagrange/3/8
Real Time	413237.83
Time Unit	ns
Iterations	1691

548.49 μs

Name	BP/Share/ECLagrange/3/10
Real Time	548486.98
Time Unit	ns
Iterations	1270

1005.93 μs

Name	BP/Share/ECLagrange/3/16
Real Time	1005926.30
Time Unit	ns
Iterations	696

2533.49 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2533491.03
Time Unit	ns
Iterations	277

Ed25519

230.42 μs

Name	BP/Share/ECLagrange/4/3
Real Time	230421.77
Time Unit	ns
Iterations	3053

312.75 μs

Name	BP/Share/ECLagrange/4/4
Real Time	312750.26
Time Unit	ns
Iterations	2251

479.63 μs

Name	BP/Share/ECLagrange/4/6
Real Time	479626.77
Time Unit	ns
Iterations	1454

668.35 μs

Name	BP/Share/ECLagrange/4/8
Real Time	668350.41
Time Unit	ns
Iterations	1046

851.68 μs

Name	BP/Share/ECLagrange/4/10
Real Time	851677.47
Time Unit	ns
Iterations	810

1473.49 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1473486.17
Time Unit	ns
Iterations	475

3438.03 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3438026.44
Time Unit	ns
Iterations	203

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.98 ms

Name	ZK/DL/Prover/3
Real Time	975946.43
Time Unit	ns
Iterations	716

0.77 ms

Name	ZK/DL/Verify/3
Real Time	772614.32
Time Unit	ns
Iterations	909

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.90 ms

Name	ZK/DL/Prover/4
Real Time	899991.57
Time Unit	ns
Iterations	779

4.53 ms

Name	ZK/DL/Verify/4
Real Time	4525096.07
Time Unit	ns
Iterations	154

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	77698.47
Time Unit	ns
Iterations	9012

0.14 ms

Name	ZK/DH/Verify/3
Real Time	138468.17
Time Unit	ns
Iterations	5063

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.74 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2737748.18
Time Unit	ns
Iterations	256

1.08 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1080982.44
Time Unit	ns
Iterations	640

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	78515.01
Time Unit	ns
Iterations	8943

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	144057.01
Time Unit	ns
Iterations	4917

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	262086.63
Time Unit	ns
Iterations	2651

0.34 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	344850.38
Time Unit	ns
Iterations	2047

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.26 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4256050.55
Time Unit	ns
Iterations	165

1.01 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	1007316.56
Time Unit	ns
Iterations	694

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.87 ms

Name	ZK/ValidPaillier/Prover
Real Time	23866014.29
Time Unit	ns
Iterations	28

22.55 ms

Name	ZK/ValidPaillier/Verify
Real Time	22552477.13
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.44 ms

Name	ZK/PaillierZero/Prover
Real Time	92442835.88
Time Unit	ns
Iterations	8

87.75 ms

Name	ZK/PaillierZero/Verify
Real Time	87746857.63
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.83 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90827542.12
Time Unit	ns
Iterations	8

183.13 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183128382.75
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

332.48 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332477976.50
Time Unit	ns
Iterations	2

17.46 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17463903.20
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.17 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48174771.40
Time Unit	ns
Iterations	15

98.57 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98569078.86
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.40 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382397100.00
Time Unit	ns
Iterations	2

117.09 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	117088219.00
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

387.30 ms

Name	ZK/PDL/Prover
Real Time	387299125.50
Time Unit	ns
Iterations	2

127.10 ms

Name	ZK/PDL/Verify
Real Time	127102851.40
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.20 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297196111.50
Time Unit	ns
Iterations	2

303.62 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	303618188.50
Time Unit	ns
Iterations	2

34.12 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

0.98 ms

Name	ZK/DL/Prover/3
Real Time	975946.43
Time Unit	ns
Iterations	716

0.77 ms

Name	ZK/DL/Verify/3
Real Time	772614.32
Time Unit	ns
Iterations	909

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.68 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1675096.88
Time Unit	ns
Iterations	418

2.23 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2234383.80
Time Unit	ns
Iterations	313

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

3.83 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	3827835.39
Time Unit	ns
Iterations	178

5.78 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5777605.62
Time Unit	ns
Iterations	125

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

11.37 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	11371726.75
Time Unit	ns
Iterations	61

28.90 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	28899767.00
Time Unit	ns
Iterations	24

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.90 ms

Name	ZK/DL/Prover/4
Real Time	899991.57
Time Unit	ns
Iterations	779

4.53 ms

Name	ZK/DL/Verify/4
Real Time	4525096.07
Time Unit	ns
Iterations	154

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.57 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1566283.05
Time Unit	ns
Iterations	445

14.77 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14771391.13
Time Unit	ns
Iterations	47

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.76 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3760905.67
Time Unit	ns
Iterations	189

49.19 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	49189837.29
Time Unit	ns
Iterations	14

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

11.97 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	11973347.62
Time Unit	ns
Iterations	60

274.15 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	274150432.00
Time Unit	ns
Iterations	3

4.55 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

Challenge

Challenge Size

Prove

Size

Verify

P Total

V Total

Interactive

0.00 ms

Name	ZK/ValidPaillier-Int/V1
Real Time	760.99
Time Unit	ns
Iterations	920729

0.02 KB

Name
Real Time
Time Unit
Iterations

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9756822.00
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.24 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9237364.43
Time Unit	ns
Iterations	75

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9756822.00
Time Unit	ns
Iterations	72

9.24 ms

Name	sum
Real Time	9238125.41
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

23.87 ms

Name	ZK/ValidPaillier/Prover
Real Time	23866014.29
Time Unit	ns
Iterations	28

22.55 ms

Name	ZK/ValidPaillier/Verify
Real Time	22552477.13
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

92.44 ms

Name	ZK/PaillierZero/Prover
Real Time	92442835.88
Time Unit	ns
Iterations	8

87.75 ms

Name	ZK/PaillierZero/Verify
Real Time	87746857.63
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.64 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35639992.45
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	841.18
Time Unit	ns
Iterations	837918

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	705920.59
Time Unit	ns
Iterations	992

0.00 KB

Name
Real Time
Time Unit
Iterations

73.68 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73676187.67
Time Unit	ns
Iterations	9

36.35 ms

Name	sum
Real Time	36345913.04
Time Unit	ns
Iterations	-1

73.68 ms

Name	sum
Real Time	73677028.85
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

90.83 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90827542.12
Time Unit	ns
Iterations	8

183.13 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183128382.75
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.53 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129528038.60
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	770.07
Time Unit	ns
Iterations	913134

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	6199.09
Time Unit	ns
Iterations	137704

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	6421.47
Time Unit	ns
Iterations	92526

129.53 ms

Name	sum
Real Time	129534237.69
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	7191.55
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

332.48 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332477976.50
Time Unit	ns
Iterations	2

17.46 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17463903.20
Time Unit	ns
Iterations	40

Paillier Pedersen Equal

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

20.48 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20484760.65
Time Unit	ns
Iterations	34

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierPedersenEq-Int/V2/3
Real Time	913.42
Time Unit	ns
Iterations	767766

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	354141.36
Time Unit	ns
Iterations	1977

3.81 KB

Name
Real Time
Time Unit
Iterations

43.77 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43770426.69
Time Unit	ns
Iterations	16

20.84 ms

Name	sum
Real Time	20838902.01
Time Unit	ns
Iterations	-1

43.77 ms

Name	sum
Real Time	43771340.11
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

48.17 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48174771.40
Time Unit	ns
Iterations	15

98.57 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98569078.86
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

11.09 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	11094442.40
Time Unit	ns
Iterations	63

6.69 ms

Name	PVE/vencrypt/Verify/0
Real Time	6685777.87
Time Unit	ns
Iterations	105

7.40 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7399420.45
Time Unit	ns
Iterations	94

Batch(4) - RSA2048

18.94 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18940188.92
Time Unit	ns
Iterations	37

14.18 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14183881.71
Time Unit	ns
Iterations	49

14.96 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14955153.85
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

48.67 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	48672376.93
Time Unit	ns
Iterations	14

43.37 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43371989.38
Time Unit	ns
Iterations	16

44.70 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44702065.25
Time Unit	ns
Iterations	16

Basic - P-256

23.77 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	23770843.93
Time Unit	ns
Iterations	29

12.99 ms

Name	PVE/vencrypt/Verify/1
Real Time	12988714.94
Time Unit	ns
Iterations	54

13.06 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13063994.26
Time Unit	ns
Iterations	54

Batch(4) - P-256

31.73 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31727674.05
Time Unit	ns
Iterations	22

20.48 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20480566.32
Time Unit	ns
Iterations	34

20.65 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20649981.50
Time Unit	ns
Iterations	34

Batch(16) - P-256

61.22 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	61222205.17
Time Unit	ns
Iterations	12

49.83 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	49832497.79
Time Unit	ns
Iterations	14

50.37 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	50368572.07
Time Unit	ns
Iterations	14

Batch(2) Many (24-leaf access structure) -- mixed key

411.01 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	411010621.00
Time Unit	ns
Iterations	2

232.03 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	232032546.33
Time Unit	ns
Iterations	3

10.35 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	10348403.60
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.25 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6253709.40
Time Unit	ns
Iterations	111

12.37 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12368310.51
Time Unit	ns
Iterations	57

24.58 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24582488.25
Time Unit	ns
Iterations	28

48.96 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	48962477.14
Time Unit	ns
Iterations	14

98.03 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	98026380.71
Time Unit	ns
Iterations	7

195.47 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195471427.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.55 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26553609.42
Time Unit	ns
Iterations	26

53.07 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	53074369.85
Time Unit	ns
Iterations	13

105.91 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	105905389.43
Time Unit	ns
Iterations	7

211.62 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	211624903.00
Time Unit	ns
Iterations	3

423.21 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	423213870.50
Time Unit	ns
Iterations	2

847.65 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	847646957.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.55 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3546761.59
Time Unit	ns
Iterations	201

6.93 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6929440.15
Time Unit	ns
Iterations	101

13.91 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13907668.94
Time Unit	ns
Iterations	50

27.83 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27831057.08
Time Unit	ns
Iterations	25

55.61 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55610070.15
Time Unit	ns
Iterations	13

111.39 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	111389870.67
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.52 ms

Name	Full-OT-2P/1/1/2048
Real Time	24520125.41
Time Unit	ns
Iterations	29

message 1

round 2

109.84 ms

Name	Full-OT-2P/2/2/2048
Real Time	109837485.83
Time Unit	ns
Iterations	6

message 2

round 3

18.26 ms

Name	Full-OT-2P/3/1/2048
Real Time	18260546.97
Time Unit	ns
Iterations	38

message 3

Output Round

0.77 ms

Name	Full-OT-2P/4/2/2048
Real Time	772566.16
Time Unit	ns
Iterations	909

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.48 ms

Name	Full-OT-2P/1/1/4096
Real Time	24475868.75
Time Unit	ns
Iterations	28

message 1

round 2

112.07 ms

Name	Full-OT-2P/2/2/4096
Real Time	112072200.33
Time Unit	ns
Iterations	6

message 2

round 3

21.41 ms

Name	Full-OT-2P/3/1/4096
Real Time	21408386.36
Time Unit	ns
Iterations	33

message 3

Output Round

1.55 ms

Name	Full-OT-2P/4/2/4096
Real Time	1550791.75
Time Unit	ns
Iterations	453

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.59 ms

Name	Full-OT-2P/1/1/65536
Real Time	24592145.32
Time Unit	ns
Iterations	28

message 1

round 2

143.59 ms

Name	Full-OT-2P/2/2/65536
Real Time	143588408.40
Time Unit	ns
Iterations	5

message 2

round 3

116.37 ms

Name	Full-OT-2P/3/1/65536
Real Time	116371018.67
Time Unit	ns
Iterations	6

message 3

Output Round

24.66 ms

Name	Full-OT-2P/4/2/65536
Real Time	24659966.29
Time Unit	ns
Iterations	28

Agree Random - 256 bits

msg

Total Time

round 1

81.63 μs

Name	AgreeRandom-2P/1/1/256
Real Time	81629.79
Time Unit	ns
Iterations	10000

48.42 μs

Name	AgreeRandom-2P/1/2/256
Real Time	48417.47
Time Unit	ns
Iterations	10000

message 1

round 2

1.05 μs

Name	AgreeRandom-2P/2/1/256
Real Time	1053.72
Time Unit	ns
Iterations	10000

10.59 μs

Name	AgreeRandom-2P/2/2/256
Real Time	10590.37
Time Unit	ns
Iterations	10000

message 2

round 3

0.60 μs

Name	AgreeRandom-2P/3/1/256
Real Time	603.03
Time Unit	ns
Iterations	10000

0.71 μs

Name	AgreeRandom-2P/3/2/256
Real Time	709.21
Time Unit	ns
Iterations	10000

message 3

Output Round

42.90 μs

Name	AgreeRandom-2P/4/1/256
Real Time	42903.07
Time Unit	ns
Iterations	10000

47.55 μs

Name	AgreeRandom-2P/4/2/256
Real Time	47550.20
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

80.34 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	80335.50
Time Unit	ns
Iterations	10000

48.11 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	48106.70
Time Unit	ns
Iterations	10000

message 1

round 2

1.05 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	1054.98
Time Unit	ns
Iterations	10000

10.62 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	10619.44
Time Unit	ns
Iterations	10000

message 2

round 3

0.85 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	853.09
Time Unit	ns
Iterations	10000

0.80 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	802.50
Time Unit	ns
Iterations	10000

message 3

Output Round

44.95 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	44946.12
Time Unit	ns
Iterations	10000

48.50 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	48497.18
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

81.29 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	81292.98
Time Unit	ns
Iterations	10000

48.95 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	48952.64
Time Unit	ns
Iterations	10000

message 1

round 2

1.03 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	1025.26
Time Unit	ns
Iterations	10000

10.88 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	10880.38
Time Unit	ns
Iterations	10000

message 2

round 3

1.19 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1194.29
Time Unit	ns
Iterations	10000

0.99 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	985.05
Time Unit	ns
Iterations	10000

message 3

Output Round

48.33 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	48325.93
Time Unit	ns
Iterations	10000

50.25 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	50250.16
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

71.68 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	71681.99
Time Unit	ns
Iterations	10000

47.09 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	47087.56
Time Unit	ns
Iterations	10000

message 1

round 2

0.85 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	845.27
Time Unit	ns
Iterations	10000

10.52 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	10524.86
Time Unit	ns
Iterations	10000

message 2

Output Round

56.24 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	56238.26
Time Unit	ns
Iterations	10000

45.20 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	45204.34
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

71.31 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	71310.54
Time Unit	ns
Iterations	10000

48.43 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	48430.09
Time Unit	ns
Iterations	10000

message 1

round 2

0.85 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	853.49
Time Unit	ns
Iterations	10000

10.71 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	10713.46
Time Unit	ns
Iterations	10000

message 2

Output Round

62.48 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	62479.92
Time Unit	ns
Iterations	10000

47.95 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	47950.92
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

71.93 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	71925.39
Time Unit	ns
Iterations	10000

49.04 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	49039.22
Time Unit	ns
Iterations	10000

message 1

round 2

0.84 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	843.61
Time Unit	ns
Iterations	10000

10.69 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	10694.32
Time Unit	ns
Iterations	10000

message 2

Output Round

62.76 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	62761.43
Time Unit	ns
Iterations	10000

48.91 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	48909.02
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

71.24 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	71238.79
Time Unit	ns
Iterations	10000

47.44 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	47443.41
Time Unit	ns
Iterations	10000

message 1

round 2

0.82 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	824.17
Time Unit	ns
Iterations	10000

10.86 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	10855.46
Time Unit	ns
Iterations	10000

message 2

Output Round

56.63 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	56627.16
Time Unit	ns
Iterations	10000

45.93 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	45926.94
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

72.11 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	72111.39
Time Unit	ns
Iterations	10000

49.07 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	49074.12
Time Unit	ns
Iterations	10000

message 1

round 2

0.89 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	889.50
Time Unit	ns
Iterations	10000

10.53 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	10534.78
Time Unit	ns
Iterations	10000

message 2

Output Round

59.53 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	59531.72
Time Unit	ns
Iterations	10000

46.43 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	46434.46
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	100420.30
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	71996.40
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	984.90
Time Unit	ns
Iterations	10

1.13 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1129786.60
Time Unit	ns
Iterations	10

message 2

round 3

8.07 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	8069735.40
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2564.70
Time Unit	ns
Iterations	10

message 3

Output Round

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	66770.70
Time Unit	ns
Iterations	10

7.02 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	7020496.70
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.08 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	79965.14
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	48874.75
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	981.59
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	10661.42
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	700.14
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	766.31
Time Unit	ns
Iterations	200

message 3

Output Round

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	50730.07
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	54716.47
Time Unit	ns
Iterations	200

Sign - #Msg=1

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-Sign-2P/1/1/1
Real Time	100961.06
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	52962.84
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	1210.90
Time Unit	ns
Iterations	50

1.51 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1514333.48
Time Unit	ns
Iterations	50

message 2

round 3

10.87 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10874352.70
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2902.82
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	21092.58
Time Unit	ns
Iterations	50

9.44 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9440847.42
Time Unit	ns
Iterations	50

message 4

Output Round

0.23 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	234304.72
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	80298.28
Time Unit	ns
Iterations	50

Sign - #Msg=4

msg

Total Time

round 1

0.16 ms

Name	Schnorr-2PC-Sign-2P/1/1/4
Real Time	158925.04
Time Unit	ns
Iterations	50

0.06 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	55632.68
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1114.58
Time Unit	ns
Iterations	50

1.89 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1885845.38
Time Unit	ns
Iterations	50

message 2

round 3

20.06 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	20062958.82
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2647.34
Time Unit	ns
Iterations	50

message 3

round 4

0.06 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	58657.40
Time Unit	ns
Iterations	50

18.35 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18349264.76
Time Unit	ns
Iterations	50

message 4

Output Round

0.72 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	716220.34
Time Unit	ns
Iterations	50

0.10 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	98400.78
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.42 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	418729.06
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	53998.80
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	1315.32
Time Unit	ns
Iterations	50

4.34 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4344218.96
Time Unit	ns
Iterations	50

message 2

round 3

57.47 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	57467268.38
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2660.74
Time Unit	ns
Iterations	50

message 3

round 4

0.20 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	196494.86
Time Unit	ns
Iterations	50

53.63 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	53632128.20
Time Unit	ns
Iterations	50

message 4

Output Round

2.24 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2235717.30
Time Unit	ns
Iterations	50

0.11 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	114520.18
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

211.75 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	211745047.45
Time Unit	ns
Iterations	20

0.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	73767.75
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2991.25
Time Unit	ns
Iterations	20

1.25 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1252067.35
Time Unit	ns
Iterations	20

message 2

round 3

17.34 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17335516.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2314.20
Time Unit	ns
Iterations	20

message 3

Output Round

0.19 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	185262.55
Time Unit	ns
Iterations	20

76.89 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	76890222.30
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

93.57 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	93569728.40
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	54502.15
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	2184.70
Time Unit	ns
Iterations	20

0.38 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	380029.05
Time Unit	ns
Iterations	20

message 2

round 3

10.50 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10503114.65
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	2706.10
Time Unit	ns
Iterations	20

message 3

Output Round

0.13 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	127211.70
Time Unit	ns
Iterations	20

85.54 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85544019.25
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.57 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1567316.20
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	49087.55
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	1038.40
Time Unit	ns
Iterations	20

1.49 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1485225.95
Time Unit	ns
Iterations	20

message 2

round 3

1.94 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1942897.45
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	3246.10
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	4594.55
Time Unit	ns
Iterations	20

42.99 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42992538.00
Time Unit	ns
Iterations	20

message 4

Output Round

23.89 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23886646.75
Time Unit	ns
Iterations	20

0.14 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	140092.45
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

1.96 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	1960114.10
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	52409.75
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	907.25
Time Unit	ns
Iterations	20

1.93 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1928277.00
Time Unit	ns
Iterations	20

message 2

round 3

2.90 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2896155.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	3012.75
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	6008.05
Time Unit	ns
Iterations	20

167.18 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	167176083.75
Time Unit	ns
Iterations	20

message 4

Output Round

95.02 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	95019644.05
Time Unit	ns
Iterations	20

0.16 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	163041.30
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.51 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4507449.70
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	54031.85
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	1110.00
Time Unit	ns
Iterations	20

4.56 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4561254.50
Time Unit	ns
Iterations	20

message 2

round 3

6.89 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6888004.10
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3409.75
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	6611.80
Time Unit	ns
Iterations	20

663.43 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	663428076.55
Time Unit	ns
Iterations	20

message 4

Output Round

378.54 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	378544228.40
Time Unit	ns
Iterations	20

0.19 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	189611.20
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.57 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1573421.70
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	59359.75
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/1/1
Real Time	1061.00
Time Unit	ns
Iterations	20

1.50 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1497601.15
Time Unit	ns
Iterations	20

message 2

round 3

1.99 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1993652.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2885.30
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/1
Real Time	5574.20
Time Unit	ns
Iterations	20

13.14 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13138341.90
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/1/1
Real Time	0.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/2/1
Real Time	0.00
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=4

msg

Total Time

round 1

2.02 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2020985.60
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	51514.70
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/1/4
Real Time	1057.45
Time Unit	ns
Iterations	20

1.92 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1916482.20
Time Unit	ns
Iterations	20

message 2

round 3

2.95 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2948628.10
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	4181.25
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/4
Real Time	5564.25
Time Unit	ns
Iterations	20

47.02 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47015434.40
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/1/4
Real Time	0.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/2/4
Real Time	0.00
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=16

msg

Total Time

round 1

4.32 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4320426.95
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	54927.05
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/1/16
Real Time	1077.85
Time Unit	ns
Iterations	20

4.36 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4358124.80
Time Unit	ns
Iterations	20

message 2

round 3

6.85 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6850962.20
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	3315.15
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/16
Real Time	7187.45
Time Unit	ns
Iterations	20

183.41 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	183412985.90
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/1/16
Real Time	0.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/2/16
Real Time	0.00
Time Unit	ns
Iterations	20

Keygen

Total Time

round 1

0.28 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	276956.00
Time Unit	ns
Iterations	1

0.26 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	262473.00
Time Unit	ns
Iterations	1

0.25 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	247857.00
Time Unit	ns
Iterations	1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	242127.00
Time Unit	ns
Iterations	1

message 1

round 2

1.59 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1590848.00
Time Unit	ns
Iterations	1

1.74 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1735408.00
Time Unit	ns
Iterations	1

1.63 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1625923.00
Time Unit	ns
Iterations	1

1.55 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1553608.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.80 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20798778.00
Time Unit	ns
Iterations	1

20.76 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20763025.00
Time Unit	ns
Iterations	1

20.64 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20638226.00
Time Unit	ns
Iterations	1

20.68 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20678020.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.65 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4652934.50
Time Unit	ns
Iterations	10

4.60 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4599446.90
Time Unit	ns
Iterations	10

4.68 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4678713.40
Time Unit	ns
Iterations	10

4.56 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4561174.50
Time Unit	ns
Iterations	10

message 1

round 2

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2624106.10
Time Unit	ns
Iterations	10

2.61 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2614850.70
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2621237.70
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2624511.90
Time Unit	ns
Iterations	10

message 2

Output Round

70.70 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	70701979.60
Time Unit	ns
Iterations	10

70.70 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	70696333.20
Time Unit	ns
Iterations	10

71.89 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	71894974.80
Time Unit	ns
Iterations	10

70.80 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	70804801.70
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	271393.00
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	274386.10
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	268842.00
Time Unit	ns
Iterations	10

0.28 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	280021.10
Time Unit	ns
Iterations	10

message 1

round 2

2.53 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2533188.50
Time Unit	ns
Iterations	10

2.52 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2518341.70
Time Unit	ns
Iterations	10

2.49 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2489328.60
Time Unit	ns
Iterations	10

2.50 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2504346.80
Time Unit	ns
Iterations	10

message 2

round 3

45.77 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	45767993.30
Time Unit	ns
Iterations	10

45.87 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45873044.20
Time Unit	ns
Iterations	10

45.84 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45835183.80
Time Unit	ns
Iterations	10

46.41 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	46409016.20
Time Unit	ns
Iterations	10

message 3

Output Round

0.57 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	567192.00
Time Unit	ns
Iterations	10

0.18 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	178868.10
Time Unit	ns
Iterations	10

0.30 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	297553.90
Time Unit	ns
Iterations	10

0.18 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	180491.40
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.20 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	197764.10
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	180181.20
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	218272.40
Time Unit	ns
Iterations	10

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	185066.50
Time Unit	ns
Iterations	10

message 1

round 2

1.29 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1292092.00
Time Unit	ns
Iterations	10

1.30 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1304122.30
Time Unit	ns
Iterations	10

1.32 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1316649.90
Time Unit	ns
Iterations	10

1.30 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1299192.40
Time Unit	ns
Iterations	10

message 2

Output Round

3.26 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3258384.20
Time Unit	ns
Iterations	10

3.37 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3366789.60
Time Unit	ns
Iterations	10

3.25 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3250488.00
Time Unit	ns
Iterations	10

3.24 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3242838.50
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.62 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4621301.90
Time Unit	ns
Iterations	10

4.56 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4564004.20
Time Unit	ns
Iterations	10

4.67 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4666805.70
Time Unit	ns
Iterations	10

4.60 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4600681.40
Time Unit	ns
Iterations	10

message 1

round 2

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1131825.10
Time Unit	ns
Iterations	10

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1125377.90
Time Unit	ns
Iterations	10

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1140005.50
Time Unit	ns
Iterations	10

1.12 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1123019.60
Time Unit	ns
Iterations	10

message 2

Output Round

11.11 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	11108539.40
Time Unit	ns
Iterations	10

11.01 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11005367.10
Time Unit	ns
Iterations	10

11.01 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11009299.80
Time Unit	ns
Iterations	10

11.00 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11000217.80
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	224642.80
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	225324.50
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	225263.80
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	229941.00
Time Unit	ns
Iterations	10

message 1

round 2

69.48 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69484716.20
Time Unit	ns
Iterations	10

46.62 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46624514.70
Time Unit	ns
Iterations	10

24.06 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24064704.00
Time Unit	ns
Iterations	10

1.29 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1290376.70
Time Unit	ns
Iterations	10

message 2

round 3

3.24 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3235567.10
Time Unit	ns
Iterations	10

97.97 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	97967701.10
Time Unit	ns
Iterations	10

192.17 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	192167170.20
Time Unit	ns
Iterations	10

286.84 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	286838809.40
Time Unit	ns
Iterations	10

message 3

round 4

70.39 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	70385112.90
Time Unit	ns
Iterations	10

49.74 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	49739590.00
Time Unit	ns
Iterations	10

27.96 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	27959011.50
Time Unit	ns
Iterations	10

6.88 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6884717.80
Time Unit	ns
Iterations	10

message 4

round 5

10.01 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	10010941.30
Time Unit	ns
Iterations	10

12.49 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12494691.50
Time Unit	ns
Iterations	10

14.63 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	14634756.20
Time Unit	ns
Iterations	10

16.81 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	16808798.10
Time Unit	ns
Iterations	10

message 5

round 6

11.43 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11433455.40
Time Unit	ns
Iterations	10

10.20 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10199321.70
Time Unit	ns
Iterations	10

9.12 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9121937.60
Time Unit	ns
Iterations	10

7.82 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7816831.50
Time Unit	ns
Iterations	10

message 6

round 7

21.49 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21490839.50
Time Unit	ns
Iterations	10

21.61 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	21605416.00
Time Unit	ns
Iterations	10

21.54 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21536157.60
Time Unit	ns
Iterations	10

21.61 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	21605181.10
Time Unit	ns
Iterations	10

message 7

round 8

9.42 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9420049.20
Time Unit	ns
Iterations	10

9.34 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9337677.30
Time Unit	ns
Iterations	10

9.36 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9355111.50
Time Unit	ns
Iterations	10

9.34 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9341174.30
Time Unit	ns
Iterations	10

message 8

round 9

2.79 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2793063.60
Time Unit	ns
Iterations	10

2.79 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2794804.70
Time Unit	ns
Iterations	10

2.71 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2705832.90
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2762941.50
Time Unit	ns
Iterations	10

message 9

Output Round

2.93 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2926066.00
Time Unit	ns
Iterations	10

1.39 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1388489.60
Time Unit	ns
Iterations	10

1.42 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1417808.40
Time Unit	ns
Iterations	10

1.44 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1443500.10
Time Unit	ns
Iterations	10

Benchmark Context

Basic Operation

Big Number

Elliptic Curve

Crypto -- Symmetric

Symmetric

Crypto - Public Key Encryption

ElGamal Commitment

Paillier

TDH2

Crypto -- DRBG

String

Number

Curve

Commitment

HMAC

Pedersen

ElGamal

Secret Sharing

Shamir Secret Sharing

Horner's rule

Lagrange interpolation

Zero Knowledge

Non-interactive Zero Knowledge

Batched UC ZK-DL

Valid Paillier

Paillier Zero

Two Paillier Equal

Range Pedersen

Paillier Pedersen Equal

PVE (Publicly Verifiable Encryption)

PVE

Base OT (Oblivious Transfer)

Base OT

Full OT (Oblivious Transfer)

2PC - Agree Random / Sid Generation

EdDSA 2PC

ECDSA 2PC

EdDSA MPC

ECDSA MPC