Benchmark Context

Date: 2025-07-11T13:05:36+00:00
Commit: 87906c7fd12c82d5fd999036dbe8610743f2c8aa
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3283

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.07 μs

Name	Core/BN/ModAdd/256
Real Time	67.87
Time Unit	ns
Iterations	10321415

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	81.10
Time Unit	ns
Iterations	8683584

0.11 μs

Name	Core/BN/ModAdd/1024
Real Time	105.52
Time Unit	ns
Iterations	6620554

0.17 μs

Name	Core/BN/ModAdd/2048
Real Time	165.50
Time Unit	ns
Iterations	4220513

0.27 μs

Name	Core/BN/ModAdd/4096
Real Time	271.09
Time Unit	ns
Iterations	2567679

Mod Sub

0.06 μs

Name	Core/BN/ModSubtract/256
Real Time	62.66
Time Unit	ns
Iterations	11185909

0.08 μs

Name	Core/BN/ModSubtract/512
Real Time	77.47
Time Unit	ns
Iterations	9088380

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	109.67
Time Unit	ns
Iterations	6447485

0.18 μs

Name	Core/BN/ModSubtract/2048
Real Time	181.21
Time Unit	ns
Iterations	3881630

0.33 μs

Name	Core/BN/ModSubtract/4096
Real Time	327.32
Time Unit	ns
Iterations	2146411

Mod Mul

0.15 μs

Name	Core/BN/ModMultiply/256
Real Time	146.32
Time Unit	ns
Iterations	4752871

0.28 μs

Name	Core/BN/ModMultiply/512
Real Time	280.32
Time Unit	ns
Iterations	2492195

0.79 μs

Name	Core/BN/ModMultiply/1024
Real Time	788.93
Time Unit	ns
Iterations	885371

2.73 μs

Name	Core/BN/ModMultiply/2048
Real Time	2732.13
Time Unit	ns
Iterations	256340

10.99 μs

Name	Core/BN/ModMultiply/4096
Real Time	10987.57
Time Unit	ns
Iterations	63682

Mod Exponentiate

16.36 μs

Name	Core/BN/ModExponentiate/256
Real Time	16359.88
Time Unit	ns
Iterations	42511

41.95 μs

Name	Core/BN/ModExponentiate/512
Real Time	41947.27
Time Unit	ns
Iterations	16595

311.80 μs

Name	Core/BN/ModExponentiate/1024
Real Time	311803.80
Time Unit	ns
Iterations	2230

2212.44 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2212440.61
Time Unit	ns
Iterations	317

16523.57 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16523565.60
Time Unit	ns
Iterations	42

Mod Invert

17.38 μs

Name	Core/BN/ModInvert/256
Real Time	17381.48
Time Unit	ns
Iterations	39837

37.00 μs

Name	Core/BN/ModInvert/512
Real Time	36995.25
Time Unit	ns
Iterations	18929

86.99 μs

Name	Core/BN/ModInvert/1024
Real Time	86987.68
Time Unit	ns
Iterations	8023

223.36 μs

Name	Core/BN/ModInvert/2048
Real Time	223358.77
Time Unit	ns
Iterations	3134

670.57 μs

Name	Core/BN/ModInvert/4096
Real Time	670565.90
Time Unit	ns
Iterations	1046

GCD

23.02 μs

Name	Core/BN/GCD/256
Real Time	23023.01
Time Unit	ns
Iterations	29911

51.36 μs

Name	Core/BN/GCD/512
Real Time	51355.60
Time Unit	ns
Iterations	13695

128.77 μs

Name	Core/BN/GCD/1024
Real Time	128769.17
Time Unit	ns
Iterations	5377

361.08 μs

Name	Core/BN/GCD/2048
Real Time	361075.33
Time Unit	ns
Iterations	1945

1171.51 μs

Name	Core/BN/GCD/4096
Real Time	1171505.00
Time Unit	ns
Iterations	604

GCD with RSA Modulus

23.19 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23191.20
Time Unit	ns
Iterations	30306

51.78 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	51781.83
Time Unit	ns
Iterations	13562

129.23 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	129233.91
Time Unit	ns
Iterations	5390

362.85 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	362848.72
Time Unit	ns
Iterations	1955

1160.25 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1160249.71
Time Unit	ns
Iterations	602

Batch(16) GCD with RSA Modulus

25.13 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25130.36
Time Unit	ns
Iterations	27363

55.73 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	55729.53
Time Unit	ns
Iterations	12577

139.67 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	139674.21
Time Unit	ns
Iterations	5042

400.24 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	400243.26
Time Unit	ns
Iterations	1733

1337.07 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1337074.49
Time Unit	ns
Iterations	525

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	355.85
Time Unit	ns
Iterations	1966553

0.31 μs

Name	Core/EC/Add/Ed25519
Real Time	314.79
Time Unit	ns
Iterations	2222436

Multiply

41.34 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41343.89
Time Unit	ns
Iterations	16927

64.28 μs

Name	Core/EC/Multiply/Ed25519
Real Time	64276.78
Time Unit	ns
Iterations	10910

Multiply Generator

19.99 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	19987.23
Time Unit	ns
Iterations	35059

14.15 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14152.23
Time Unit	ns
Iterations	49522

MulAdd

61.74 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	61738.03
Time Unit	ns
Iterations	11345

78.84 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	78836.28
Time Unit	ns
Iterations	8899

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

0.30 μs

Name	Core/Hash/SHA256/1
Real Time	296.24
Time Unit	ns
Iterations	2362404

0.30 μs

Name	Core/Hash/SHA256/4
Real Time	296.72
Time Unit	ns
Iterations	2351914

0.29 μs

Name	Core/Hash/SHA256/16
Real Time	292.55
Time Unit	ns
Iterations	2393231

0.34 μs

Name	Core/Hash/SHA256/64
Real Time	339.25
Time Unit	ns
Iterations	2060372

0.46 μs

Name	Core/Hash/SHA256/256
Real Time	458.38
Time Unit	ns
Iterations	1527060

0.94 μs

Name	Core/Hash/SHA256/1024
Real Time	939.34
Time Unit	ns
Iterations	745490

2.87 μs

Name	Core/Hash/SHA256/4096
Real Time	2868.84
Time Unit	ns
Iterations	244430

HMAC-SHA256

0.30 μs

Name	Core/Hash/HMAC-SHA256/1
Real Time	295.52
Time Unit	ns
Iterations	2371044

0.29 μs

Name	Core/Hash/HMAC-SHA256/4
Real Time	294.61
Time Unit	ns
Iterations	2382254

0.29 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	290.52
Time Unit	ns
Iterations	2412895

0.33 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	334.16
Time Unit	ns
Iterations	2094331

0.45 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	454.51
Time Unit	ns
Iterations	1536754

0.94 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	936.70
Time Unit	ns
Iterations	746558

2.86 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	2863.22
Time Unit	ns
Iterations	244155

AES-GCM-128

0.66 μs

Name	Core/Hash/AES-GCM-128/1
Real Time	663.78
Time Unit	ns
Iterations	1056978

0.67 μs

Name	Core/Hash/AES-GCM-128/4
Real Time	667.83
Time Unit	ns
Iterations	1050011

0.67 μs

Name	Core/Hash/AES-GCM-128/16
Real Time	668.30
Time Unit	ns
Iterations	1051670

0.70 μs

Name	Core/Hash/AES-GCM-128/64
Real Time	696.22
Time Unit	ns
Iterations	1006380

0.76 μs

Name	Core/Hash/AES-GCM-128/256
Real Time	756.58
Time Unit	ns
Iterations	927609

0.95 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	948.00
Time Unit	ns
Iterations	744656

1.65 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1650.75
Time Unit	ns
Iterations	423352

AES-GCM-256

0.67 μs

Name	Core/Hash/AES-GCM-256/1
Real Time	669.05
Time Unit	ns
Iterations	1047553

0.67 μs

Name	Core/Hash/AES-GCM-256/4
Real Time	669.42
Time Unit	ns
Iterations	1045563

0.67 μs

Name	Core/Hash/AES-GCM-256/16
Real Time	671.02
Time Unit	ns
Iterations	1037328

0.70 μs

Name	Core/Hash/AES-GCM-256/64
Real Time	697.26
Time Unit	ns
Iterations	1005253

0.75 μs

Name	Core/Hash/AES-GCM-256/256
Real Time	754.16
Time Unit	ns
Iterations	917562

0.94 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	939.77
Time Unit	ns
Iterations	745063

1.65 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1649.96
Time Unit	ns
Iterations	424701

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.95 μs

Name	BP/ElGamal/Commit/3
Real Time	82952.93
Time Unit	ns
Iterations	8451

94.45 μs

Name	BP/ElGamal/Commit/4
Real Time	94451.65
Time Unit	ns
Iterations	7433

Rerand

62.49 μs

Name	BP/ElGamal/Rerand/3
Real Time	62494.27
Time Unit	ns
Iterations	11188

79.22 μs

Name	BP/ElGamal/Rerand/4
Real Time	79217.89
Time Unit	ns
Iterations	8851

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.89
Time Unit	ns
Iterations	925445

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	664.01
Time Unit	ns
Iterations	1055371

Add Scalar

20.47 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20468.16
Time Unit	ns
Iterations	34213

7.78 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7782.63
Time Unit	ns
Iterations	89209

Mul Scalar

82.77 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82772.79
Time Unit	ns
Iterations	8458

128.51 μs

Name	BP/ElGamal/MulScalar/4
Real Time	128512.22
Time Unit	ns
Iterations	5459

Paillier

Operation \ Bit length

2048 bits

Generate Key

53.63 ms

Name	BP/Paillier/Gen
Real Time	53634023.14
Time Unit	ns
Iterations	14

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4515769.37
Time Unit	ns
Iterations	155

Encrypt

8.57 ms

Name	BP/Paillier/Pub-Enc
Real Time	8573946.30
Time Unit	ns
Iterations	82

Decrypt

4.54 ms

Name	BP/Paillier/Dec
Real Time	4537161.27
Time Unit	ns
Iterations	155

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11075.27
Time Unit	ns
Iterations	63032

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	12910.73
Time Unit	ns
Iterations	53827

Mul-Scalar

8.32 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8318686.57
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

190.23 μs

Name	tdh2-encrypt-1P/4/256
Real Time	190231.52
Time Unit	ns
Iterations	3698

191.23 μs

Name	tdh2-encrypt-1P/30/256
Real Time	191232.51
Time Unit	ns
Iterations	3671

269.28 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	269278.25
Time Unit	ns
Iterations	2593

268.76 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	268762.17
Time Unit	ns
Iterations	2591

Verify

220.86 μs

Name	tdh2-verify-1P/4/256
Real Time	220862.30
Time Unit	ns
Iterations	2908

220.99 μs

Name	tdh2-verify-1P/30/256
Real Time	220985.17
Time Unit	ns
Iterations	3478

242.17 μs

Name	tdh2-verify-1P/4/65536
Real Time	242166.32
Time Unit	ns
Iterations	2865

262.69 μs

Name	tdh2-verify-1P/30/65536
Real Time	262694.41
Time Unit	ns
Iterations	2470

Local Decrypt

343.57 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	343565.91
Time Unit	ns
Iterations	2167

343.47 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	343465.92
Time Unit	ns
Iterations	1922

505.15 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	505147.52
Time Unit	ns
Iterations	1000

386.20 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	386200.69
Time Unit	ns
Iterations	1727

Combine

1000.53 μs

Name	tdh2-combine-1P/4/256
Real Time	1000525.79
Time Unit	ns
Iterations	761

5360.84 μs

Name	tdh2-combine-1P/30/256
Real Time	5360843.08
Time Unit	ns
Iterations	129

999.75 μs

Name	tdh2-combine-1P/4/65536
Real Time	999752.30
Time Unit	ns
Iterations	717

5449.87 μs

Name	tdh2-combine-1P/30/65536
Real Time	5449869.60
Time Unit	ns
Iterations	128

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.45 μs

Name	Crypto/DRBG/String/1024
Real Time	1451.26
Time Unit	ns
Iterations	479966

1.51 μs

Name	Crypto/DRBG/String/2048
Real Time	1510.02
Time Unit	ns
Iterations	464820

1.70 μs

Name	Crypto/DRBG/String/4096
Real Time	1695.28
Time Unit	ns
Iterations	436206

1.83 μs

Name	Crypto/DRBG/String/8192
Real Time	1833.14
Time Unit	ns
Iterations	384421

2.33 μs

Name	Crypto/DRBG/String/16384
Real Time	2334.28
Time Unit	ns
Iterations	299752

3.30 μs

Name	Crypto/DRBG/String/32768
Real Time	3295.94
Time Unit	ns
Iterations	211885

5.09 μs

Name	Crypto/DRBG/String/65536
Real Time	5088.27
Time Unit	ns
Iterations	137281

8.74 μs

Name	Crypto/DRBG/String/131072
Real Time	8740.03
Time Unit	ns
Iterations	80338

15.99 μs

Name	Crypto/DRBG/String/262144
Real Time	15993.87
Time Unit	ns
Iterations	43841

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.72 μs

Name	Crypto/DRBG/Number/256
Real Time	1717.75
Time Unit	ns
Iterations	405907

1.82 μs

Name	Crypto/DRBG/Number/512
Real Time	1817.35
Time Unit	ns
Iterations	384761

2.03 μs

Name	Crypto/DRBG/Number/1024
Real Time	2034.89
Time Unit	ns
Iterations	346857

2.40 μs

Name	Crypto/DRBG/Number/2048
Real Time	2403.12
Time Unit	ns
Iterations	291321

3.19 μs

Name	Crypto/DRBG/Number/4096
Real Time	3194.79
Time Unit	ns
Iterations	219231

Curve

secp256k1

Ed25519

DRBG-Curve

22.04 μs

Name	Crypto/DRBG/Curve/3
Real Time	22035.20
Time Unit	ns
Iterations	31784

16.37 μs

Name	Crypto/DRBG/Curve/4
Real Time	16366.53
Time Unit	ns
Iterations	42936

HMAC

#big number

Commit

2.61 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2613.29
Time Unit	ns
Iterations	265596

2.87 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2872.36
Time Unit	ns
Iterations	242668

3.18 μs

Name	Crypto/Commitment/ComBn/6
Real Time	3181.95
Time Unit	ns
Iterations	219522

3.40 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3396.73
Time Unit	ns
Iterations	203427

3.65 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3654.29
Time Unit	ns
Iterations	191531

3.90 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3898.67
Time Unit	ns
Iterations	179287

4.14 μs

Name	Crypto/Commitment/ComBn/14
Real Time	4140.20
Time Unit	ns
Iterations	168929

4.41 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4414.34
Time Unit	ns
Iterations	158583

4.66 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4655.78
Time Unit	ns
Iterations	150108

4.92 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4916.29
Time Unit	ns
Iterations	142437

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

82.95 μs

Name	BP/ElGamal/Commit/3
Real Time	82952.93
Time Unit	ns
Iterations	8451

94.45 μs

Name	BP/ElGamal/Commit/4
Real Time	94451.65
Time Unit	ns
Iterations	7433

Rerand

62.49 μs

Name	BP/ElGamal/Rerand/3
Real Time	62494.27
Time Unit	ns
Iterations	11188

79.22 μs

Name	BP/ElGamal/Rerand/4
Real Time	79217.89
Time Unit	ns
Iterations	8851

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.89
Time Unit	ns
Iterations	925445

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	664.01
Time Unit	ns
Iterations	1055371

Add Scalar

20.47 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20468.16
Time Unit	ns
Iterations	34213

7.78 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7782.63
Time Unit	ns
Iterations	89209

Mul Scalar

82.77 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82772.79
Time Unit	ns
Iterations	8458

128.51 μs

Name	BP/ElGamal/MulScalar/4
Real Time	128512.22
Time Unit	ns
Iterations	5459

Shamir Secret Sharing

m\n

16.69 μs

Name	BP/Share/Shamir/10/2
Real Time	16690.81
Time Unit	ns
Iterations	41633

18.68 μs

Name	BP/Share/Shamir/10/3
Real Time	18675.21
Time Unit	ns
Iterations	37503

20.74 μs

Name	BP/Share/Shamir/10/4
Real Time	20736.30
Time Unit	ns
Iterations	33662

23.14 μs

Name	BP/Share/Shamir/10/5
Real Time	23135.76
Time Unit	ns
Iterations	30527

24.90 μs

Name	BP/Share/Shamir/10/6
Real Time	24904.52
Time Unit	ns
Iterations	28199

26.91 μs

Name	BP/Share/Shamir/10/7
Real Time	26911.24
Time Unit	ns
Iterations	25988

34.34 μs

Name	BP/Share/Shamir/20/2
Real Time	34342.71
Time Unit	ns
Iterations	20389

38.48 μs

Name	BP/Share/Shamir/20/3
Real Time	38483.42
Time Unit	ns
Iterations	18175

42.89 μs

Name	BP/Share/Shamir/20/4
Real Time	42890.01
Time Unit	ns
Iterations	16393

46.80 μs

Name	BP/Share/Shamir/20/5
Real Time	46800.18
Time Unit	ns
Iterations	14938

50.93 μs

Name	BP/Share/Shamir/20/6
Real Time	50933.39
Time Unit	ns
Iterations	13738

55.52 μs

Name	BP/Share/Shamir/20/7
Real Time	55518.70
Time Unit	ns
Iterations	12729

52.10 μs

Name	BP/Share/Shamir/30/2
Real Time	52097.54
Time Unit	ns
Iterations	13416

58.40 μs

Name	BP/Share/Shamir/30/3
Real Time	58400.02
Time Unit	ns
Iterations	12035

64.76 μs

Name	BP/Share/Shamir/30/4
Real Time	64758.23
Time Unit	ns
Iterations	10692

70.92 μs

Name	BP/Share/Shamir/30/5
Real Time	70924.30
Time Unit	ns
Iterations	9844

77.18 μs

Name	BP/Share/Shamir/30/6
Real Time	77182.23
Time Unit	ns
Iterations	8961

83.81 μs

Name	BP/Share/Shamir/30/7
Real Time	83807.01
Time Unit	ns
Iterations	8289

Horner's rule

m\n

256 bit field

0.49 μs

Name	BP/Share/Horner/3
Real Time	487.24
Time Unit	ns
Iterations	1429985

0.70 μs

Name	BP/Share/Horner/4
Real Time	697.02
Time Unit	ns
Iterations	938167

1.12 μs

Name	BP/Share/Horner/6
Real Time	1121.24
Time Unit	ns
Iterations	624083

1.55 μs

Name	BP/Share/Horner/8
Real Time	1545.69
Time Unit	ns
Iterations	452549

1.96 μs

Name	BP/Share/Horner/10
Real Time	1960.15
Time Unit	ns
Iterations	354702

3.23 μs

Name	BP/Share/Horner/16
Real Time	3234.32
Time Unit	ns
Iterations	216102

6.65 μs

Name	BP/Share/Horner/32
Real Time	6646.94
Time Unit	ns
Iterations	105403

secp256k1

83.49 μs

Name	BP/Share/ECHorner/3/3
Real Time	83493.63
Time Unit	ns
Iterations	8384

125.19 μs

Name	BP/Share/ECHorner/3/4
Real Time	125186.60
Time Unit	ns
Iterations	5594

209.79 μs

Name	BP/Share/ECHorner/3/6
Real Time	209786.62
Time Unit	ns
Iterations	3359

293.64 μs

Name	BP/Share/ECHorner/3/8
Real Time	293641.45
Time Unit	ns
Iterations	2388

375.54 μs

Name	BP/Share/ECHorner/3/10
Real Time	375539.77
Time Unit	ns
Iterations	1862

625.85 μs

Name	BP/Share/ECHorner/3/16
Real Time	625852.37
Time Unit	ns
Iterations	1119

1294.08 μs

Name	BP/Share/ECHorner/3/32
Real Time	1294079.52
Time Unit	ns
Iterations	541

Ed25519

129.30 μs

Name	BP/Share/ECHorner/4/3
Real Time	129303.69
Time Unit	ns
Iterations	5407

194.27 μs

Name	BP/Share/ECHorner/4/4
Real Time	194268.56
Time Unit	ns
Iterations	3610

322.69 μs

Name	BP/Share/ECHorner/4/6
Real Time	322694.78
Time Unit	ns
Iterations	2163

452.33 μs

Name	BP/Share/ECHorner/4/8
Real Time	452327.94
Time Unit	ns
Iterations	1546

581.02 μs

Name	BP/Share/ECHorner/4/10
Real Time	581021.97
Time Unit	ns
Iterations	1203

969.01 μs

Name	BP/Share/ECHorner/4/16
Real Time	969008.79
Time Unit	ns
Iterations	718

2007.20 μs

Name	BP/Share/ECHorner/4/32
Real Time	2007195.34
Time Unit	ns
Iterations	351

Lagrange interpolation

m\n

256 bit field

37.52 μs

Name	BP/Share/Lagrange/3
Real Time	37522.87
Time Unit	ns
Iterations	18746

55.16 μs

Name	BP/Share/Lagrange/4
Real Time	55159.97
Time Unit	ns
Iterations	12880

95.45 μs

Name	BP/Share/Lagrange/6
Real Time	95453.26
Time Unit	ns
Iterations	7214

146.84 μs

Name	BP/Share/Lagrange/8
Real Time	146841.58
Time Unit	ns
Iterations	4800

206.32 μs

Name	BP/Share/Lagrange/10
Real Time	206322.30
Time Unit	ns
Iterations	3410

430.28 μs

Name	BP/Share/Lagrange/16
Real Time	430280.22
Time Unit	ns
Iterations	1616

1364.88 μs

Name	BP/Share/Lagrange/32
Real Time	1364881.18
Time Unit	ns
Iterations	514

secp256k1

136.04 μs

Name	BP/Share/ECLagrange/3/3
Real Time	136036.01
Time Unit	ns
Iterations	5191

186.08 μs

Name	BP/Share/ECLagrange/3/4
Real Time	186079.79
Time Unit	ns
Iterations	3727

291.90 μs

Name	BP/Share/ECLagrange/3/6
Real Time	291898.17
Time Unit	ns
Iterations	2378

410.65 μs

Name	BP/Share/ECLagrange/3/8
Real Time	410646.72
Time Unit	ns
Iterations	1682

542.90 μs

Name	BP/Share/ECLagrange/3/10
Real Time	542899.20
Time Unit	ns
Iterations	1281

989.68 μs

Name	BP/Share/ECLagrange/3/16
Real Time	989683.00
Time Unit	ns
Iterations	704

2509.60 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2509599.10
Time Unit	ns
Iterations	279

Ed25519

230.34 μs

Name	BP/Share/ECLagrange/4/3
Real Time	230344.53
Time Unit	ns
Iterations	3037

311.30 μs

Name	BP/Share/ECLagrange/4/4
Real Time	311303.35
Time Unit	ns
Iterations	2250

479.39 μs

Name	BP/Share/ECLagrange/4/6
Real Time	479386.61
Time Unit	ns
Iterations	1457

658.69 μs

Name	BP/Share/ECLagrange/4/8
Real Time	658689.28
Time Unit	ns
Iterations	1067

847.24 μs

Name	BP/Share/ECLagrange/4/10
Real Time	847244.07
Time Unit	ns
Iterations	822

1459.85 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1459852.75
Time Unit	ns
Iterations	479

3413.86 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3413863.66
Time Unit	ns
Iterations	205

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

1.01 ms

Name	ZK/DL/Prover/3
Real Time	1007439.69
Time Unit	ns
Iterations	696

0.77 ms

Name	ZK/DL/Verify/3
Real Time	769853.51
Time Unit	ns
Iterations	910

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.93 ms

Name	ZK/DL/Prover/4
Real Time	933559.00
Time Unit	ns
Iterations	757

4.51 ms

Name	ZK/DL/Verify/4
Real Time	4507858.98
Time Unit	ns
Iterations	155

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	77672.96
Time Unit	ns
Iterations	9041

0.14 ms

Name	ZK/DH/Verify/3
Real Time	138720.29
Time Unit	ns
Iterations	5028

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com (secp256k1)

2.77 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2766126.53
Time Unit	ns
Iterations	253

1.08 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1080930.89
Time Unit	ns
Iterations	651

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	78149.72
Time Unit	ns
Iterations	8974

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	142745.14
Time Unit	ns
Iterations	4859

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	256029.74
Time Unit	ns
Iterations	2730

0.37 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	366260.23
Time Unit	ns
Iterations	1912

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.33 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4332703.19
Time Unit	ns
Iterations	160

1.00 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	1003236.98
Time Unit	ns
Iterations	697

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.44 ms

Name	ZK/ValidPaillier/Prover
Real Time	23441633.17
Time Unit	ns
Iterations	30

22.62 ms

Name	ZK/ValidPaillier/Verify
Real Time	22617189.74
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.53 ms

Name	ZK/PaillierZero/Prover
Real Time	92525819.13
Time Unit	ns
Iterations	8

87.76 ms

Name	ZK/PaillierZero/Verify
Real Time	87758935.50
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

92.39 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	92392154.00
Time Unit	ns
Iterations	8

183.65 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183648407.50
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

332.03 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332034743.00
Time Unit	ns
Iterations	2

17.46 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17458625.45
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.15 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48149044.67
Time Unit	ns
Iterations	15

98.85 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98850802.86
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.50 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382504006.50
Time Unit	ns
Iterations	2

116.98 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	116984143.50
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

388.30 ms

Name	ZK/PDL/Prover
Real Time	388295867.00
Time Unit	ns
Iterations	2

127.06 ms

Name	ZK/PDL/Verify
Real Time	127057440.60
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

296.97 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	296965799.00
Time Unit	ns
Iterations	2

298.35 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	298347141.50
Time Unit	ns
Iterations	2

34.13 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

1.01 ms

Name	ZK/DL/Prover/3
Real Time	1007439.69
Time Unit	ns
Iterations	696

0.77 ms

Name	ZK/DL/Verify/3
Real Time	769853.51
Time Unit	ns
Iterations	910

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.76 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1756427.41
Time Unit	ns
Iterations	400

2.23 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2228579.35
Time Unit	ns
Iterations	313

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

4.20 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	4197601.84
Time Unit	ns
Iterations	165

5.71 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5706479.01
Time Unit	ns
Iterations	125

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

13.13 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	13133777.91
Time Unit	ns
Iterations	55

28.67 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	28670067.52
Time Unit	ns
Iterations	25

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.93 ms

Name	ZK/DL/Prover/4
Real Time	933559.00
Time Unit	ns
Iterations	757

4.51 ms

Name	ZK/DL/Verify/4
Real Time	4507858.98
Time Unit	ns
Iterations	155

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.66 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1657541.92
Time Unit	ns
Iterations	422

14.73 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14729004.77
Time Unit	ns
Iterations	47

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

4.14 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	4141017.54
Time Unit	ns
Iterations	169

49.47 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	49473560.14
Time Unit	ns
Iterations	14

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

13.07 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	13070785.13
Time Unit	ns
Iterations	56

274.75 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	274747514.67
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	761.98
Time Unit	ns
Iterations	921395

0.02 KB

Name
Real Time
Time Unit
Iterations

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9759191.00
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.24 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9241980.13
Time Unit	ns
Iterations	75

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9759191.00
Time Unit	ns
Iterations	72

9.24 ms

Name	sum
Real Time	9242742.11
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

23.44 ms

Name	ZK/ValidPaillier/Prover
Real Time	23441633.17
Time Unit	ns
Iterations	30

22.62 ms

Name	ZK/ValidPaillier/Verify
Real Time	22617189.74
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.34 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33339904.67
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	2989.93
Time Unit	ns
Iterations	234025

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierZero-Int/P3
Real Time	351456.67
Time Unit	ns
Iterations	1991

3.12 KB

Name
Real Time
Time Unit
Iterations

35.13 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35127804.95
Time Unit	ns
Iterations	20

33.69 ms

Name	sum
Real Time	33691361.33
Time Unit	ns
Iterations	-1

35.13 ms

Name	sum
Real Time	35130794.88
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

92.53 ms

Name	ZK/PaillierZero/Prover
Real Time	92525819.13
Time Unit	ns
Iterations	8

87.76 ms

Name	ZK/PaillierZero/Verify
Real Time	87758935.50
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.59 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35593044.15
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	840.61
Time Unit	ns
Iterations	829429

0.00 KB

Name
Real Time
Time Unit
Iterations

0.70 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	704779.82
Time Unit	ns
Iterations	995

0.00 KB

Name
Real Time
Time Unit
Iterations

73.50 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73498018.22
Time Unit	ns
Iterations	9

36.30 ms

Name	sum
Real Time	36297823.97
Time Unit	ns
Iterations	-1

73.50 ms

Name	sum
Real Time	73498858.83
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

92.39 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	92392154.00
Time Unit	ns
Iterations	8

183.65 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183648407.50
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.81 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129809051.20
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	763.49
Time Unit	ns
Iterations	917296

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	6048.20
Time Unit	ns
Iterations	103372

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	5340.74
Time Unit	ns
Iterations	130839

129.82 ms

Name	sum
Real Time	129815099.40
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	6104.24
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

332.03 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332034743.00
Time Unit	ns
Iterations	2

17.46 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17458625.45
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

20.45 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20453112.53
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	900.40
Time Unit	ns
Iterations	785086

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	353592.07
Time Unit	ns
Iterations	1983

3.81 KB

Name
Real Time
Time Unit
Iterations

43.87 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43874557.44
Time Unit	ns
Iterations	16

20.81 ms

Name	sum
Real Time	20806704.60
Time Unit	ns
Iterations	-1

43.88 ms

Name	sum
Real Time	43875457.84
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

48.15 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48149044.67
Time Unit	ns
Iterations	15

98.85 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98850802.86
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.29 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10288928.65
Time Unit	ns
Iterations	68

6.29 ms

Name	PVE/vencrypt/Verify/0
Real Time	6294092.50
Time Unit	ns
Iterations	109

7.05 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7046388.86
Time Unit	ns
Iterations	99

Batch(4) - RSA2048

18.66 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18663795.58
Time Unit	ns
Iterations	38

13.89 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	13889074.86
Time Unit	ns
Iterations	50

14.66 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14659458.49
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

47.97 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	47968879.71
Time Unit	ns
Iterations	14

43.31 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43312609.50
Time Unit	ns
Iterations	16

44.17 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44173513.75
Time Unit	ns
Iterations	16

Basic - P-256

20.74 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	20737694.06
Time Unit	ns
Iterations	34

11.39 ms

Name	PVE/vencrypt/Verify/1
Real Time	11387648.76
Time Unit	ns
Iterations	62

11.63 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	11625600.39
Time Unit	ns
Iterations	61

Batch(4) - P-256

28.51 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	28505989.04
Time Unit	ns
Iterations	24

19.04 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	19038091.57
Time Unit	ns
Iterations	37

19.18 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	19177284.19
Time Unit	ns
Iterations	36

Batch(16) - P-256

58.89 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	58894884.33
Time Unit	ns
Iterations	12

48.39 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	48386855.64
Time Unit	ns
Iterations	14

48.51 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	48513329.93
Time Unit	ns
Iterations	14

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

359.18 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	359181857.00
Time Unit	ns
Iterations	2

213.12 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	213116017.00
Time Unit	ns
Iterations	3

222.75 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	222749603.60
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.24 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6236473.74
Time Unit	ns
Iterations	112

12.47 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12473671.53
Time Unit	ns
Iterations	57

24.75 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24749325.46
Time Unit	ns
Iterations	28

49.10 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	49101823.93
Time Unit	ns
Iterations	14

98.12 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	98118657.86
Time Unit	ns
Iterations	7

196.03 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	196027214.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

24.87 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	24868069.39
Time Unit	ns
Iterations	28

49.83 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	49831365.93
Time Unit	ns
Iterations	14

99.50 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	99503255.57
Time Unit	ns
Iterations	7

198.90 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	198902670.00
Time Unit	ns
Iterations	4

396.92 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	396917244.00
Time Unit	ns
Iterations	2

816.18 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	816175831.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.47 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3474000.48
Time Unit	ns
Iterations	202

6.95 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6952793.90
Time Unit	ns
Iterations	101

13.85 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13849685.02
Time Unit	ns
Iterations	50

27.63 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27633310.44
Time Unit	ns
Iterations	25

55.20 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55204934.23
Time Unit	ns
Iterations	13

110.63 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	110634479.67
Time Unit	ns
Iterations	6

Full OT (Base OT + OT Extension), 256 Base OTs

Number of OTs

2048

4096

65536

Step 1 (S → R)

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Step 2 (R → S)

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Step 3 (S → R)

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Step 4 (R output)

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Agree Random - 256 bits

msg

Total Time

round 1

71.16 μs

Name	AgreeRandom-2P/1/1/256
Real Time	71161.33
Time Unit	ns
Iterations	10000

39.33 μs

Name	AgreeRandom-2P/1/2/256
Real Time	39327.09
Time Unit	ns
Iterations	10000

message 1

round 2

1.05 μs

Name	AgreeRandom-2P/2/1/256
Real Time	1047.38
Time Unit	ns
Iterations	10000

10.51 μs

Name	AgreeRandom-2P/2/2/256
Real Time	10506.13
Time Unit	ns
Iterations	10000

message 2

round 3

0.53 μs

Name	AgreeRandom-2P/3/1/256
Real Time	531.21
Time Unit	ns
Iterations	10000

0.66 μs

Name	AgreeRandom-2P/3/2/256
Real Time	659.89
Time Unit	ns
Iterations	10000

message 3

Output Round

43.62 μs

Name	AgreeRandom-2P/4/1/256
Real Time	43617.39
Time Unit	ns
Iterations	10000

47.61 μs

Name	AgreeRandom-2P/4/2/256
Real Time	47606.16
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

69.75 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	69752.25
Time Unit	ns
Iterations	10000

39.46 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	39460.53
Time Unit	ns
Iterations	10000

message 1

round 2

1.04 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	1039.57
Time Unit	ns
Iterations	10000

10.51 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	10513.08
Time Unit	ns
Iterations	10000

message 2

round 3

0.65 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	650.98
Time Unit	ns
Iterations	10000

0.82 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	819.01
Time Unit	ns
Iterations	10000

message 3

Output Round

44.27 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	44269.43
Time Unit	ns
Iterations	10000

48.78 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	48782.86
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

71.40 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	71401.05
Time Unit	ns
Iterations	10000

39.57 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	39567.57
Time Unit	ns
Iterations	10000

message 1

round 2

1.04 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	1043.51
Time Unit	ns
Iterations	10000

10.67 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	10670.95
Time Unit	ns
Iterations	10000

message 2

round 3

0.87 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	866.70
Time Unit	ns
Iterations	10000

0.98 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	984.85
Time Unit	ns
Iterations	10000

message 3

Output Round

42.97 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	42968.26
Time Unit	ns
Iterations	10000

50.22 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	50218.89
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

62.34 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	62343.30
Time Unit	ns
Iterations	10000

38.77 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	38766.31
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	862.34
Time Unit	ns
Iterations	10000

10.69 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	10686.36
Time Unit	ns
Iterations	10000

message 2

Output Round

55.68 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	55675.46
Time Unit	ns
Iterations	10000

46.32 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	46320.16
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

61.51 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	61514.59
Time Unit	ns
Iterations	10000

38.27 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	38271.25
Time Unit	ns
Iterations	10000

message 1

round 2

0.88 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	882.16
Time Unit	ns
Iterations	10000

10.62 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	10620.05
Time Unit	ns
Iterations	10000

message 2

Output Round

58.21 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	58209.94
Time Unit	ns
Iterations	10000

48.93 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	48930.87
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

62.31 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	62314.37
Time Unit	ns
Iterations	10000

38.93 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	38925.03
Time Unit	ns
Iterations	10000

message 1

round 2

0.89 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	891.53
Time Unit	ns
Iterations	10000

10.72 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	10718.23
Time Unit	ns
Iterations	10000

message 2

Output Round

58.23 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	58233.20
Time Unit	ns
Iterations	10000

48.97 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	48968.06
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

61.41 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	61406.84
Time Unit	ns
Iterations	10000

39.45 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	39445.47
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	863.48
Time Unit	ns
Iterations	10000

10.81 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	10805.01
Time Unit	ns
Iterations	10000

message 2

Output Round

56.65 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	56647.62
Time Unit	ns
Iterations	10000

45.41 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	45409.55
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

61.76 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	61758.97
Time Unit	ns
Iterations	10000

38.49 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	38487.71
Time Unit	ns
Iterations	10000

message 1

round 2

0.87 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	868.04
Time Unit	ns
Iterations	10000

10.26 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	10259.64
Time Unit	ns
Iterations	10000

message 2

Output Round

56.75 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	56747.29
Time Unit	ns
Iterations	10000

47.25 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	47255.00
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	96551.60
Time Unit	ns
Iterations	10

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	57723.60
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	1058.10
Time Unit	ns
Iterations	10

1.14 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1136475.60
Time Unit	ns
Iterations	10

message 2

round 3

8.08 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	8083941.50
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2424.70
Time Unit	ns
Iterations	10

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	62688.30
Time Unit	ns
Iterations	10

6.99 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	6991863.80
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.07 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	73838.62
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	41874.87
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	950.83
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	10562.74
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	601.19
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	741.98
Time Unit	ns
Iterations	200

message 3

Output Round

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	46240.81
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	53013.22
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	96743.64
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	43175.66
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	1220.80
Time Unit	ns
Iterations	50

1.58 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1576034.72
Time Unit	ns
Iterations	50

message 2

round 3

10.92 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10922020.42
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2537.16
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	19335.32
Time Unit	ns
Iterations	50

9.35 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9345186.36
Time Unit	ns
Iterations	50

message 4

Output Round

0.22 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	220133.92
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	82609.94
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	159470.84
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	42873.76
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1118.46
Time Unit	ns
Iterations	50

2.05 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	2049262.76
Time Unit	ns
Iterations	50

message 2

round 3

20.11 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	20106435.48
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2723.74
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	53295.12
Time Unit	ns
Iterations	50

18.22 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18222748.62
Time Unit	ns
Iterations	50

message 4

Output Round

0.64 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	638655.98
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	76664.98
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.40 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	402967.00
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	43724.78
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	1036.64
Time Unit	ns
Iterations	50

4.99 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4985233.64
Time Unit	ns
Iterations	50

message 2

round 3

57.87 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	57871558.56
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	3859.34
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	186896.56
Time Unit	ns
Iterations	50

53.56 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	53562264.84
Time Unit	ns
Iterations	50

message 4

Output Round

2.16 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2156794.62
Time Unit	ns
Iterations	50

0.09 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	88333.86
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

199.52 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	199521300.35
Time Unit	ns
Iterations	20

0.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	66079.50
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2345.40
Time Unit	ns
Iterations	20

1.21 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1208916.05
Time Unit	ns
Iterations	20

message 2

round 3

17.31 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17312444.95
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2606.85
Time Unit	ns
Iterations	20

message 3

Output Round

0.13 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	127647.85
Time Unit	ns
Iterations	20

77.45 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	77450744.70
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

101.55 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	101553749.85
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	40880.25
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1986.65
Time Unit	ns
Iterations	20

0.41 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	408445.20
Time Unit	ns
Iterations	20

message 2

round 3

10.49 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10490882.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1315.10
Time Unit	ns
Iterations	20

message 3

Output Round

0.09 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	90260.45
Time Unit	ns
Iterations	20

85.63 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85626268.75
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.65 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1645624.05
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	49225.10
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	989.40
Time Unit	ns
Iterations	20

1.58 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1579820.45
Time Unit	ns
Iterations	20

message 2

round 3

1.97 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1969165.40
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	3044.60
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	4028.10
Time Unit	ns
Iterations	20

42.94 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42936509.35
Time Unit	ns
Iterations	20

message 4

Output Round

23.74 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23738688.45
Time Unit	ns
Iterations	20

0.10 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	95385.55
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.10 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	2104505.60
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	47454.55
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	2361.45
Time Unit	ns
Iterations	20

2.06 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	2057413.80
Time Unit	ns
Iterations	20

message 2

round 3

2.88 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2878027.30
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2595.90
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	4393.90
Time Unit	ns
Iterations	20

166.72 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	166720833.45
Time Unit	ns
Iterations	20

message 4

Output Round

93.92 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	93920643.00
Time Unit	ns
Iterations	20

0.11 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	111687.15
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

5.28 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	5283320.70
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	47340.60
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	1012.40
Time Unit	ns
Iterations	20

5.01 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	5010734.35
Time Unit	ns
Iterations	20

message 2

round 3

6.82 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6816682.65
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	2836.70
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	5641.00
Time Unit	ns
Iterations	20

661.85 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	661845915.80
Time Unit	ns
Iterations	20

message 4

Output Round

374.02 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	374018405.10
Time Unit	ns
Iterations	20

0.16 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	162048.05
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.63 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1630639.55
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	49846.20
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	939.60
Time Unit	ns
Iterations	20

1.56 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1558377.65
Time Unit	ns
Iterations	20

message 2

round 3

1.95 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1945544.60
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2643.00
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/1
Real Time	4147.70
Time Unit	ns
Iterations	20

13.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13042359.40
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

2.14 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2137708.90
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	44241.90
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	1085.55
Time Unit	ns
Iterations	20

2.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	2010235.20
Time Unit	ns
Iterations	20

message 2

round 3

2.87 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2865249.35
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	2528.25
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/4
Real Time	4467.80
Time Unit	ns
Iterations	20

47.07 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47067859.25
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

5.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	5061912.75
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	49807.30
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	1078.10
Time Unit	ns
Iterations	20

4.78 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4784751.00
Time Unit	ns
Iterations	20

message 2

round 3

7.07 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	7070641.20
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	3129.85
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	5612.45
Time Unit	ns
Iterations	20

184.45 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	184446225.90
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

0.25 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	254391.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	222587.00
Time Unit	ns
Iterations	1

0.21 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	209463.00
Time Unit	ns
Iterations	1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	239155.00
Time Unit	ns
Iterations	1

message 1

round 2

1.66 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1660229.00
Time Unit	ns
Iterations	1

1.67 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1673804.00
Time Unit	ns
Iterations	1

1.64 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1644279.00
Time Unit	ns
Iterations	1

1.75 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1749837.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.61 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20607192.00
Time Unit	ns
Iterations	1

20.77 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20766668.00
Time Unit	ns
Iterations	1

20.64 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20643258.00
Time Unit	ns
Iterations	1

20.60 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20604567.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.86 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4858067.80
Time Unit	ns
Iterations	10

4.81 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4811161.80
Time Unit	ns
Iterations	10

4.78 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4784997.20
Time Unit	ns
Iterations	10

4.82 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4822473.30
Time Unit	ns
Iterations	10

message 1

round 2

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2631839.80
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2623019.50
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2631155.50
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2631086.60
Time Unit	ns
Iterations	10

message 2

Output Round

70.40 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	70399464.40
Time Unit	ns
Iterations	10

70.34 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	70342139.40
Time Unit	ns
Iterations	10

70.42 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	70416266.30
Time Unit	ns
Iterations	10

70.37 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	70372240.90
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	250549.10
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	248015.00
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	260289.30
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	249539.50
Time Unit	ns
Iterations	10

message 1

round 2

2.65 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2649230.10
Time Unit	ns
Iterations	10

2.64 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2636023.90
Time Unit	ns
Iterations	10

2.70 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2703578.30
Time Unit	ns
Iterations	10

2.72 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2724342.30
Time Unit	ns
Iterations	10

message 2

round 3

45.46 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	45456673.30
Time Unit	ns
Iterations	10

45.52 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45515356.40
Time Unit	ns
Iterations	10

45.64 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45636911.00
Time Unit	ns
Iterations	10

45.82 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	45817198.70
Time Unit	ns
Iterations	10

message 3

Output Round

0.55 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	545578.80
Time Unit	ns
Iterations	10

0.12 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	117392.60
Time Unit	ns
Iterations	10

0.14 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	136088.70
Time Unit	ns
Iterations	10

0.14 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	137187.70
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	192413.40
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	180657.20
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	182218.60
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	177513.10
Time Unit	ns
Iterations	10

message 1

round 2

1.38 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1379968.60
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1345810.10
Time Unit	ns
Iterations	10

1.38 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1375880.40
Time Unit	ns
Iterations	10

1.37 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1372710.40
Time Unit	ns
Iterations	10

message 2

Output Round

3.26 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3262548.20
Time Unit	ns
Iterations	10

3.26 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3258798.20
Time Unit	ns
Iterations	10

3.24 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3244945.10
Time Unit	ns
Iterations	10

3.24 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3237270.10
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.85 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4852225.40
Time Unit	ns
Iterations	10

4.83 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4825792.90
Time Unit	ns
Iterations	10

4.77 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4766211.90
Time Unit	ns
Iterations	10

4.82 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4820432.30
Time Unit	ns
Iterations	10

message 1

round 2

1.17 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1171114.30
Time Unit	ns
Iterations	10

1.15 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1145227.70
Time Unit	ns
Iterations	10

1.15 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1148575.00
Time Unit	ns
Iterations	10

1.16 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1156910.60
Time Unit	ns
Iterations	10

message 2

Output Round

11.07 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	11067421.10
Time Unit	ns
Iterations	10

11.12 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11118062.90
Time Unit	ns
Iterations	10

11.10 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11100058.00
Time Unit	ns
Iterations	10

11.13 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11134590.30
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	213627.80
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	217608.30
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	219723.60
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	227986.10
Time Unit	ns
Iterations	10

message 1

round 2

69.61 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69606249.70
Time Unit	ns
Iterations	10

47.06 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	47057300.50
Time Unit	ns
Iterations	10

24.23 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24230150.00
Time Unit	ns
Iterations	10

1.42 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1416027.90
Time Unit	ns
Iterations	10

message 2

round 3

3.16 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3159622.80
Time Unit	ns
Iterations	10

95.84 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	95839946.30
Time Unit	ns
Iterations	10

188.35 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	188350113.50
Time Unit	ns
Iterations	10

280.87 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	280866320.70
Time Unit	ns
Iterations	10

message 3

round 4

71.95 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	71952149.60
Time Unit	ns
Iterations	10

51.21 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	51211722.70
Time Unit	ns
Iterations	10

29.29 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	29289957.80
Time Unit	ns
Iterations	10

6.81 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6808332.20
Time Unit	ns
Iterations	10

message 4

round 5

9.82 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9816937.90
Time Unit	ns
Iterations	10

12.93 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12932951.00
Time Unit	ns
Iterations	10

15.13 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	15131581.10
Time Unit	ns
Iterations	10

17.96 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17956217.20
Time Unit	ns
Iterations	10

message 5

round 6

11.36 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11362203.50
Time Unit	ns
Iterations	10

10.49 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10494515.30
Time Unit	ns
Iterations	10

9.40 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9402730.70
Time Unit	ns
Iterations	10

8.19 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	8191488.80
Time Unit	ns
Iterations	10

message 6

round 7

21.56 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21557484.20
Time Unit	ns
Iterations	10

22.19 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	22191759.20
Time Unit	ns
Iterations	10

21.89 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21891267.00
Time Unit	ns
Iterations	10

21.86 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	21862873.30
Time Unit	ns
Iterations	10

message 7

round 8

9.39 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9394021.10
Time Unit	ns
Iterations	10

9.37 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9365579.30
Time Unit	ns
Iterations	10

9.38 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9376652.40
Time Unit	ns
Iterations	10

9.39 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9385756.00
Time Unit	ns
Iterations	10

message 8

round 9

2.83 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2832239.90
Time Unit	ns
Iterations	10

2.87 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2870849.00
Time Unit	ns
Iterations	10

2.81 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2806690.40
Time Unit	ns
Iterations	10

2.88 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2875961.80
Time Unit	ns
Iterations	10

message 9

Output Round

3.27 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	3269281.90
Time Unit	ns
Iterations	10

2.26 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	2264806.80
Time Unit	ns
Iterations	10

2.44 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	2436937.00
Time Unit	ns
Iterations	10

2.67 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	2666253.40
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

OT (Oblivious Transfer)

Base OT

Full OT (Base OT + OT Extension), 256 Base OTs

2PC - Agree Random / Sid Generation

EdDSA 2PC

ECDSA 2PC

EdDSA MPC

ECDSA MPC