Benchmark Context

Date: 2025-12-15T16:42:23+00:00
Commit: 44d3ccf04218bb59833b7977431596a7e4ee490a
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3324

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.06 μs

Name	Core/BN/ModAdd/256
Real Time	64.48
Time Unit	ns
Iterations	10525022

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	79.31
Time Unit	ns
Iterations	8902731

0.11 μs

Name	Core/BN/ModAdd/1024
Real Time	109.52
Time Unit	ns
Iterations	6464779

0.18 μs

Name	Core/BN/ModAdd/2048
Real Time	178.89
Time Unit	ns
Iterations	3902617

0.28 μs

Name	Core/BN/ModAdd/4096
Real Time	281.65
Time Unit	ns
Iterations	2501928

Mod Sub

0.07 μs

Name	Core/BN/ModSubtract/256
Real Time	68.04
Time Unit	ns
Iterations	10473783

0.08 μs

Name	Core/BN/ModSubtract/512
Real Time	81.89
Time Unit	ns
Iterations	8699088

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	111.23
Time Unit	ns
Iterations	6296834

0.18 μs

Name	Core/BN/ModSubtract/2048
Real Time	181.36
Time Unit	ns
Iterations	3892222

0.33 μs

Name	Core/BN/ModSubtract/4096
Real Time	325.84
Time Unit	ns
Iterations	2150003

Mod Mul

0.15 μs

Name	Core/BN/ModMultiply/256
Real Time	147.89
Time Unit	ns
Iterations	4735276

0.28 μs

Name	Core/BN/ModMultiply/512
Real Time	281.45
Time Unit	ns
Iterations	2488642

0.80 μs

Name	Core/BN/ModMultiply/1024
Real Time	799.24
Time Unit	ns
Iterations	881403

2.72 μs

Name	Core/BN/ModMultiply/2048
Real Time	2723.32
Time Unit	ns
Iterations	256972

10.95 μs

Name	Core/BN/ModMultiply/4096
Real Time	10950.05
Time Unit	ns
Iterations	63831

Mod Exponentiate

16.32 μs

Name	Core/BN/ModExponentiate/256
Real Time	16318.51
Time Unit	ns
Iterations	42941

41.92 μs

Name	Core/BN/ModExponentiate/512
Real Time	41917.05
Time Unit	ns
Iterations	16707

310.61 μs

Name	Core/BN/ModExponentiate/1024
Real Time	310610.35
Time Unit	ns
Iterations	2247

2210.54 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2210536.59
Time Unit	ns
Iterations	317

16543.83 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16543828.40
Time Unit	ns
Iterations	42

Mod Invert

18.10 μs

Name	Core/BN/ModInvert/256
Real Time	18103.46
Time Unit	ns
Iterations	38728

38.60 μs

Name	Core/BN/ModInvert/512
Real Time	38598.52
Time Unit	ns
Iterations	18084

90.10 μs

Name	Core/BN/ModInvert/1024
Real Time	90101.27
Time Unit	ns
Iterations	7770

231.29 μs

Name	Core/BN/ModInvert/2048
Real Time	231287.33
Time Unit	ns
Iterations	3024

690.31 μs

Name	Core/BN/ModInvert/4096
Real Time	690311.34
Time Unit	ns
Iterations	1013

GCD

23.47 μs

Name	Core/BN/GCD/256
Real Time	23470.90
Time Unit	ns
Iterations	30171

50.48 μs

Name	Core/BN/GCD/512
Real Time	50483.50
Time Unit	ns
Iterations	13698

127.92 μs

Name	Core/BN/GCD/1024
Real Time	127918.28
Time Unit	ns
Iterations	5513

352.90 μs

Name	Core/BN/GCD/2048
Real Time	352899.34
Time Unit	ns
Iterations	1978

1135.28 μs

Name	Core/BN/GCD/4096
Real Time	1135280.15
Time Unit	ns
Iterations	614

GCD with RSA Modulus

23.16 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23163.16
Time Unit	ns
Iterations	30601

51.06 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	51063.61
Time Unit	ns
Iterations	13910

128.10 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	128100.57
Time Unit	ns
Iterations	5467

355.16 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	355164.92
Time Unit	ns
Iterations	1987

1142.28 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1142278.83
Time Unit	ns
Iterations	617

Batch(16) GCD with RSA Modulus

25.54 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25535.68
Time Unit	ns
Iterations	27280

54.88 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	54884.35
Time Unit	ns
Iterations	12664

140.70 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	140701.33
Time Unit	ns
Iterations	4597

394.71 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	394714.37
Time Unit	ns
Iterations	1769

1303.86 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1303857.63
Time Unit	ns
Iterations	536

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	356.72
Time Unit	ns
Iterations	1963045

0.31 μs

Name	Core/EC/Add/Ed25519
Real Time	312.04
Time Unit	ns
Iterations	2243475

Add (Constant Time)

0.36 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	356.18
Time Unit	ns
Iterations	1968161

0.31 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	314.11
Time Unit	ns
Iterations	2231630

Multiply

41.56 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41564.93
Time Unit	ns
Iterations	16894

63.45 μs

Name	Core/EC/Multiply/Ed25519
Real Time	63450.69
Time Unit	ns
Iterations	11048

Multiply (Variable Time)

32.40 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	32402.32
Time Unit	ns
Iterations	21922

63.39 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	63391.06
Time Unit	ns
Iterations	11078

Multiply Generator

20.00 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	20002.44
Time Unit	ns
Iterations	35031

14.24 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14242.10
Time Unit	ns
Iterations	49201

Multipliply Generator (Variable Time)

20.07 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	20069.96
Time Unit	ns
Iterations	34911

7.50 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7503.81
Time Unit	ns
Iterations	91714

MulAdd

61.74 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	61736.41
Time Unit	ns
Iterations	11355

77.96 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	77964.71
Time Unit	ns
Iterations	8984

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.31 μs

Name	Core/Hash/SHA256/16
Real Time	305.44
Time Unit	ns
Iterations	2286540

0.34 μs

Name	Core/Hash/SHA256/64
Real Time	344.32
Time Unit	ns
Iterations	2038205

0.46 μs

Name	Core/Hash/SHA256/256
Real Time	463.67
Time Unit	ns
Iterations	1507314

0.95 μs

Name	Core/Hash/SHA256/1024
Real Time	947.02
Time Unit	ns
Iterations	735945

2.87 μs

Name	Core/Hash/SHA256/4096
Real Time	2870.97
Time Unit	ns
Iterations	243461

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

1.09 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	1090.85
Time Unit	ns
Iterations	642044

1.12 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	1122.96
Time Unit	ns
Iterations	624701

1.23 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	1233.83
Time Unit	ns
Iterations	562095

1.72 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1724.32
Time Unit	ns
Iterations	407325

3.65 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	3651.16
Time Unit	ns
Iterations	191656

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

0.93 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	933.23
Time Unit	ns
Iterations	751032

1.65 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1646.46
Time Unit	ns
Iterations	426118

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

0.99 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	985.10
Time Unit	ns
Iterations	715892

1.74 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1741.25
Time Unit	ns
Iterations	402109

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.97 μs

Name	BP/ElGamal/Commit/3
Real Time	82965.17
Time Unit	ns
Iterations	8400

93.93 μs

Name	BP/ElGamal/Commit/4
Real Time	93926.89
Time Unit	ns
Iterations	7458

Rerand

62.67 μs

Name	BP/ElGamal/Rerand/3
Real Time	62671.87
Time Unit	ns
Iterations	11183

78.49 μs

Name	BP/ElGamal/Rerand/4
Real Time	78491.62
Time Unit	ns
Iterations	8933

Add

0.77 μs

Name	BP/ElGamal/Add/3
Real Time	767.03
Time Unit	ns
Iterations	914185

0.67 μs

Name	BP/ElGamal/Add/4
Real Time	670.35
Time Unit	ns
Iterations	1043017

Add Scalar

20.48 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20480.29
Time Unit	ns
Iterations	34081

7.81 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7811.83
Time Unit	ns
Iterations	88886

Mul Scalar

83.07 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83069.95
Time Unit	ns
Iterations	8424

126.73 μs

Name	BP/ElGamal/MulScalar/4
Real Time	126725.45
Time Unit	ns
Iterations	5490

Paillier

Operation \ Bit length

2048 bits

Generate Key

51.60 ms

Name	BP/Paillier/Gen
Real Time	51604504.40
Time Unit	ns
Iterations	10

Encrypt (with private key)

4.51 ms

Name	BP/Paillier/Enc
Real Time	4505549.04
Time Unit	ns
Iterations	155

Encrypt

8.58 ms

Name	BP/Paillier/Pub-Enc
Real Time	8576493.01
Time Unit	ns
Iterations	81

Decrypt

4.50 ms

Name	BP/Paillier/Dec
Real Time	4504097.57
Time Unit	ns
Iterations	155

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11080.49
Time Unit	ns
Iterations	63471

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	12864.66
Time Unit	ns
Iterations	54304

Mul-Scalar

8.32 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8316517.06
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.88 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189878.53
Time Unit	ns
Iterations	3651

190.14 μs

Name	tdh2-encrypt-1P/30/256
Real Time	190137.25
Time Unit	ns
Iterations	3662

270.46 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	270455.36
Time Unit	ns
Iterations	2556

269.62 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	269615.86
Time Unit	ns
Iterations	2587

Verify

200.65 μs

Name	tdh2-verify-1P/4/256
Real Time	200654.93
Time Unit	ns
Iterations	3484

200.70 μs

Name	tdh2-verify-1P/30/256
Real Time	200697.81
Time Unit	ns
Iterations	2893

243.08 μs

Name	tdh2-verify-1P/4/65536
Real Time	243077.75
Time Unit	ns
Iterations	2890

242.54 μs

Name	tdh2-verify-1P/30/65536
Real Time	242538.81
Time Unit	ns
Iterations	2663

Local Decrypt

322.37 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	322365.55
Time Unit	ns
Iterations	2170

404.23 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	404233.84
Time Unit	ns
Iterations	1730

445.50 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	445502.90
Time Unit	ns
Iterations	1915

365.44 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	365435.68
Time Unit	ns
Iterations	1637

Combine

904.20 μs

Name	tdh2-combine-1P/4/256
Real Time	904204.57
Time Unit	ns
Iterations	673

5455.38 μs

Name	tdh2-combine-1P/30/256
Real Time	5455378.30
Time Unit	ns
Iterations	121

978.75 μs

Name	tdh2-combine-1P/4/65536
Real Time	978746.94
Time Unit	ns
Iterations	674

5483.58 μs

Name	tdh2-combine-1P/30/65536
Real Time	5483579.79
Time Unit	ns
Iterations	128

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.44 μs

Name	Crypto/DRBG/String/1024
Real Time	1444.64
Time Unit	ns
Iterations	485670

1.50 μs

Name	Crypto/DRBG/String/2048
Real Time	1502.05
Time Unit	ns
Iterations	465945

1.60 μs

Name	Crypto/DRBG/String/4096
Real Time	1598.90
Time Unit	ns
Iterations	438127

1.82 μs

Name	Crypto/DRBG/String/8192
Real Time	1819.82
Time Unit	ns
Iterations	385448

2.34 μs

Name	Crypto/DRBG/String/16384
Real Time	2340.89
Time Unit	ns
Iterations	298467

3.28 μs

Name	Crypto/DRBG/String/32768
Real Time	3281.24
Time Unit	ns
Iterations	213604

5.06 μs

Name	Crypto/DRBG/String/65536
Real Time	5060.27
Time Unit	ns
Iterations	138242

8.71 μs

Name	Crypto/DRBG/String/131072
Real Time	8707.94
Time Unit	ns
Iterations	80643

15.96 μs

Name	Crypto/DRBG/String/262144
Real Time	15955.78
Time Unit	ns
Iterations	44007

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.73 μs

Name	Crypto/DRBG/Number/256
Real Time	1726.40
Time Unit	ns
Iterations	405834

1.84 μs

Name	Crypto/DRBG/Number/512
Real Time	1843.36
Time Unit	ns
Iterations	381352

2.06 μs

Name	Crypto/DRBG/Number/1024
Real Time	2057.76
Time Unit	ns
Iterations	340904

2.41 μs

Name	Crypto/DRBG/Number/2048
Real Time	2411.54
Time Unit	ns
Iterations	290598

3.20 μs

Name	Crypto/DRBG/Number/4096
Real Time	3200.18
Time Unit	ns
Iterations	218638

Curve

secp256k1

Ed25519

DRBG-Curve

22.06 μs

Name	Crypto/DRBG/Curve/3
Real Time	22056.41
Time Unit	ns
Iterations	31736

16.41 μs

Name	Crypto/DRBG/Curve/4
Real Time	16408.17
Time Unit	ns
Iterations	42690

HMAC

#big number

Commit

2.66 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2657.52
Time Unit	ns
Iterations	264556

2.91 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2907.08
Time Unit	ns
Iterations	240818

3.22 μs

Name	Crypto/Commitment/ComBn/6
Real Time	3216.77
Time Unit	ns
Iterations	218142

3.44 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3444.51
Time Unit	ns
Iterations	203335

3.69 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3693.13
Time Unit	ns
Iterations	189761

3.93 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3927.26
Time Unit	ns
Iterations	178066

4.18 μs

Name	Crypto/Commitment/ComBn/14
Real Time	4183.18
Time Unit	ns
Iterations	167877

4.44 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4437.43
Time Unit	ns
Iterations	156770

4.68 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4682.38
Time Unit	ns
Iterations	149098

4.94 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4937.68
Time Unit	ns
Iterations	141658

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

82.97 μs

Name	BP/ElGamal/Commit/3
Real Time	82965.17
Time Unit	ns
Iterations	8400

93.93 μs

Name	BP/ElGamal/Commit/4
Real Time	93926.89
Time Unit	ns
Iterations	7458

Rerand

62.67 μs

Name	BP/ElGamal/Rerand/3
Real Time	62671.87
Time Unit	ns
Iterations	11183

78.49 μs

Name	BP/ElGamal/Rerand/4
Real Time	78491.62
Time Unit	ns
Iterations	8933

Add

0.77 μs

Name	BP/ElGamal/Add/3
Real Time	767.03
Time Unit	ns
Iterations	914185

0.67 μs

Name	BP/ElGamal/Add/4
Real Time	670.35
Time Unit	ns
Iterations	1043017

Add Scalar

20.48 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20480.29
Time Unit	ns
Iterations	34081

7.81 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7811.83
Time Unit	ns
Iterations	88886

Mul Scalar

83.07 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83069.95
Time Unit	ns
Iterations	8424

126.73 μs

Name	BP/ElGamal/MulScalar/4
Real Time	126725.45
Time Unit	ns
Iterations	5490

Shamir Secret Sharing

m\n

16.99 μs

Name	BP/Share/Shamir/10/2
Real Time	16985.10
Time Unit	ns
Iterations	40777

19.36 μs

Name	BP/Share/Shamir/10/3
Real Time	19359.21
Time Unit	ns
Iterations	36778

21.30 μs

Name	BP/Share/Shamir/10/4
Real Time	21298.55
Time Unit	ns
Iterations	32990

23.28 μs

Name	BP/Share/Shamir/10/5
Real Time	23279.85
Time Unit	ns
Iterations	30025

25.39 μs

Name	BP/Share/Shamir/10/6
Real Time	25388.90
Time Unit	ns
Iterations	27357

28.00 μs

Name	BP/Share/Shamir/10/7
Real Time	28002.61
Time Unit	ns
Iterations	25499

34.96 μs

Name	BP/Share/Shamir/20/2
Real Time	34961.20
Time Unit	ns
Iterations	20079

39.39 μs

Name	BP/Share/Shamir/20/3
Real Time	39390.90
Time Unit	ns
Iterations	17850

43.57 μs

Name	BP/Share/Shamir/20/4
Real Time	43573.80
Time Unit	ns
Iterations	16101

47.97 μs

Name	BP/Share/Shamir/20/5
Real Time	47973.26
Time Unit	ns
Iterations	14657

52.05 μs

Name	BP/Share/Shamir/20/6
Real Time	52053.54
Time Unit	ns
Iterations	13382

57.00 μs

Name	BP/Share/Shamir/20/7
Real Time	56998.16
Time Unit	ns
Iterations	12421

53.12 μs

Name	BP/Share/Shamir/30/2
Real Time	53116.34
Time Unit	ns
Iterations	13195

59.64 μs

Name	BP/Share/Shamir/30/3
Real Time	59639.28
Time Unit	ns
Iterations	11740

66.27 μs

Name	BP/Share/Shamir/30/4
Real Time	66267.84
Time Unit	ns
Iterations	10620

72.42 μs

Name	BP/Share/Shamir/30/5
Real Time	72416.67
Time Unit	ns
Iterations	9691

78.99 μs

Name	BP/Share/Shamir/30/6
Real Time	78990.30
Time Unit	ns
Iterations	8905

85.59 μs

Name	BP/Share/Shamir/30/7
Real Time	85586.18
Time Unit	ns
Iterations	8232

Horner's rule

m\n

256 bit field

0.49 μs

Name	BP/Share/Horner/3
Real Time	490.21
Time Unit	ns
Iterations	1426077

0.71 μs

Name	BP/Share/Horner/4
Real Time	709.76
Time Unit	ns
Iterations	992703

1.14 μs

Name	BP/Share/Horner/6
Real Time	1137.31
Time Unit	ns
Iterations	610163

1.57 μs

Name	BP/Share/Horner/8
Real Time	1573.28
Time Unit	ns
Iterations	443373

2.01 μs

Name	BP/Share/Horner/10
Real Time	2007.04
Time Unit	ns
Iterations	348450

3.30 μs

Name	BP/Share/Horner/16
Real Time	3302.92
Time Unit	ns
Iterations	211686

6.77 μs

Name	BP/Share/Horner/32
Real Time	6770.75
Time Unit	ns
Iterations	103302

secp256k1

83.63 μs

Name	BP/Share/ECHorner/3/3
Real Time	83630.53
Time Unit	ns
Iterations	8378

125.57 μs

Name	BP/Share/ECHorner/3/4
Real Time	125568.84
Time Unit	ns
Iterations	5580

208.96 μs

Name	BP/Share/ECHorner/3/6
Real Time	208956.55
Time Unit	ns
Iterations	3345

292.94 μs

Name	BP/Share/ECHorner/3/8
Real Time	292941.88
Time Unit	ns
Iterations	2379

376.70 μs

Name	BP/Share/ECHorner/3/10
Real Time	376701.91
Time Unit	ns
Iterations	1862

626.97 μs

Name	BP/Share/ECHorner/3/16
Real Time	626971.14
Time Unit	ns
Iterations	1117

1297.69 μs

Name	BP/Share/ECHorner/3/32
Real Time	1297691.36
Time Unit	ns
Iterations	540

Ed25519

127.14 μs

Name	BP/Share/ECHorner/4/3
Real Time	127137.12
Time Unit	ns
Iterations	5505

191.85 μs

Name	BP/Share/ECHorner/4/4
Real Time	191846.75
Time Unit	ns
Iterations	3641

318.35 μs

Name	BP/Share/ECHorner/4/6
Real Time	318350.20
Time Unit	ns
Iterations	2198

445.67 μs

Name	BP/Share/ECHorner/4/8
Real Time	445671.04
Time Unit	ns
Iterations	1550

573.17 μs

Name	BP/Share/ECHorner/4/10
Real Time	573168.81
Time Unit	ns
Iterations	1208

955.18 μs

Name	BP/Share/ECHorner/4/16
Real Time	955182.63
Time Unit	ns
Iterations	735

1971.57 μs

Name	BP/Share/ECHorner/4/32
Real Time	1971568.43
Time Unit	ns
Iterations	355

Lagrange interpolation

m\n

256 bit field

38.40 μs

Name	BP/Share/Lagrange/3
Real Time	38397.35
Time Unit	ns
Iterations	18081

55.27 μs

Name	BP/Share/Lagrange/4
Real Time	55273.17
Time Unit	ns
Iterations	12540

96.24 μs

Name	BP/Share/Lagrange/6
Real Time	96242.29
Time Unit	ns
Iterations	7251

148.56 μs

Name	BP/Share/Lagrange/8
Real Time	148558.20
Time Unit	ns
Iterations	4682

210.16 μs

Name	BP/Share/Lagrange/10
Real Time	210157.23
Time Unit	ns
Iterations	3345

438.88 μs

Name	BP/Share/Lagrange/16
Real Time	438883.91
Time Unit	ns
Iterations	1595

1381.14 μs

Name	BP/Share/Lagrange/32
Real Time	1381141.78
Time Unit	ns
Iterations	506

secp256k1

137.59 μs

Name	BP/Share/ECLagrange/3/3
Real Time	137593.08
Time Unit	ns
Iterations	5076

186.79 μs

Name	BP/Share/ECLagrange/3/4
Real Time	186785.65
Time Unit	ns
Iterations	3716

293.14 μs

Name	BP/Share/ECLagrange/3/6
Real Time	293141.06
Time Unit	ns
Iterations	2375

416.15 μs

Name	BP/Share/ECLagrange/3/8
Real Time	416150.03
Time Unit	ns
Iterations	1689

546.33 μs

Name	BP/Share/ECLagrange/3/10
Real Time	546330.57
Time Unit	ns
Iterations	1268

1002.95 μs

Name	BP/Share/ECLagrange/3/16
Real Time	1002950.38
Time Unit	ns
Iterations	700

2530.56 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2530561.82
Time Unit	ns
Iterations	274

Ed25519

229.35 μs

Name	BP/Share/ECLagrange/4/3
Real Time	229347.91
Time Unit	ns
Iterations	3053

309.34 μs

Name	BP/Share/ECLagrange/4/4
Real Time	309340.09
Time Unit	ns
Iterations	2261

478.21 μs

Name	BP/Share/ECLagrange/4/6
Real Time	478205.03
Time Unit	ns
Iterations	1466

659.54 μs

Name	BP/Share/ECLagrange/4/8
Real Time	659541.46
Time Unit	ns
Iterations	1069

845.62 μs

Name	BP/Share/ECLagrange/4/10
Real Time	845620.19
Time Unit	ns
Iterations	820

1453.54 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1453539.84
Time Unit	ns
Iterations	478

3408.63 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3408625.37
Time Unit	ns
Iterations	206

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.99 ms

Name	ZK/DL/Prover/3
Real Time	990682.41
Time Unit	ns
Iterations	702

0.77 ms

Name	ZK/DL/Verify/3
Real Time	767925.76
Time Unit	ns
Iterations	914

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.92 ms

Name	ZK/DL/Prover/4
Real Time	918107.68
Time Unit	ns
Iterations	765

4.51 ms

Name	ZK/DL/Verify/4
Real Time	4513179.26
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	79257.61
Time Unit	ns
Iterations	9013

0.14 ms

Name	ZK/DH/Verify/3
Real Time	138447.09
Time Unit	ns
Iterations	5132

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.71 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2708449.32
Time Unit	ns
Iterations	257

1.07 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1074784.16
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	78363.49
Time Unit	ns
Iterations	8965

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	141157.98
Time Unit	ns
Iterations	4878

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	256733.83
Time Unit	ns
Iterations	2724

0.37 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	371605.47
Time Unit	ns
Iterations	1924

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

5.87 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	5874696.08
Time Unit	ns
Iterations	120

1.00 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	1003255.52
Time Unit	ns
Iterations	701

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.90 ms

Name	ZK/ValidPaillier/Prover
Real Time	23895963.17
Time Unit	ns
Iterations	30

22.57 ms

Name	ZK/ValidPaillier/Verify
Real Time	22574651.29
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.66 ms

Name	ZK/PaillierZero/Prover
Real Time	92659311.62
Time Unit	ns
Iterations	8

87.84 ms

Name	ZK/PaillierZero/Verify
Real Time	87840500.13
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.87 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90866009.50
Time Unit	ns
Iterations	8

183.39 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183391196.25
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

332.19 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332191877.50
Time Unit	ns
Iterations	2

17.75 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17749740.68
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.12 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48116817.07
Time Unit	ns
Iterations	15

98.90 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98904104.00
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.04 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382041147.00
Time Unit	ns
Iterations	2

116.89 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	116893871.00
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

387.21 ms

Name	ZK/PDL/Prover
Real Time	387214913.50
Time Unit	ns
Iterations	2

127.23 ms

Name	ZK/PDL/Verify
Real Time	127227426.00
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.13 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297129502.50
Time Unit	ns
Iterations	2

297.41 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	297407187.00
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

0.99 ms

Name	ZK/DL/Prover/3
Real Time	990682.41
Time Unit	ns
Iterations	702

0.77 ms

Name	ZK/DL/Verify/3
Real Time	767925.76
Time Unit	ns
Iterations	914

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.71 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1714032.38
Time Unit	ns
Iterations	405

2.23 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2234577.08
Time Unit	ns
Iterations	317

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

3.99 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	3991943.10
Time Unit	ns
Iterations	176

5.57 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5572539.75
Time Unit	ns
Iterations	125

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

11.98 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	11977724.95
Time Unit	ns
Iterations	56

28.04 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	28040469.52
Time Unit	ns
Iterations	25

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.92 ms

Name	ZK/DL/Prover/4
Real Time	918107.68
Time Unit	ns
Iterations	765

4.51 ms

Name	ZK/DL/Verify/4
Real Time	4513179.26
Time Unit	ns
Iterations	155

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.62 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1622341.61
Time Unit	ns
Iterations	435

14.82 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14823679.79
Time Unit	ns
Iterations	47

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.90 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3898072.66
Time Unit	ns
Iterations	182

48.92 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	48923588.07
Time Unit	ns
Iterations	14

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

12.06 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	12057159.21
Time Unit	ns
Iterations	61

273.99 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	273987011.33
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	763.30
Time Unit	ns
Iterations	920235

0.02 KB

Name
Real Time
Time Unit
Iterations

9.86 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9855798.13
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.24 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9238000.17
Time Unit	ns
Iterations	75

9.86 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9855798.13
Time Unit	ns
Iterations	72

9.24 ms

Name	sum
Real Time	9238763.47
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

23.90 ms

Name	ZK/ValidPaillier/Prover
Real Time	23895963.17
Time Unit	ns
Iterations	30

22.57 ms

Name	ZK/ValidPaillier/Verify
Real Time	22574651.29
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.29 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33292145.76
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	3034.75
Time Unit	ns
Iterations	231438

0.01 KB

Name
Real Time
Time Unit
Iterations

0.36 ms

Name	ZK/PaillierZero-Int/P3
Real Time	356900.20
Time Unit	ns
Iterations	1992

3.12 KB

Name
Real Time
Time Unit
Iterations

35.17 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35166543.70
Time Unit	ns
Iterations	20

33.65 ms

Name	sum
Real Time	33649045.96
Time Unit	ns
Iterations	-1

35.17 ms

Name	sum
Real Time	35169578.45
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

92.66 ms

Name	ZK/PaillierZero/Prover
Real Time	92659311.62
Time Unit	ns
Iterations	8

87.84 ms

Name	ZK/PaillierZero/Verify
Real Time	87840500.13
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	35585430.00
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	858.52
Time Unit	ns
Iterations	818050

0.00 KB

Name
Real Time
Time Unit
Iterations

0.70 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	704990.38
Time Unit	ns
Iterations	982

0.00 KB

Name
Real Time
Time Unit
Iterations

73.47 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73467988.33
Time Unit	ns
Iterations	9

36.29 ms

Name	sum
Real Time	36290420.38
Time Unit	ns
Iterations	-1

73.47 ms

Name	sum
Real Time	73468846.86
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

90.87 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90866009.50
Time Unit	ns
Iterations	8

183.39 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183391196.25
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.92 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129915563.80
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	773.34
Time Unit	ns
Iterations	909172

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	5648.33
Time Unit	ns
Iterations	112863

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	6403.51
Time Unit	ns
Iterations	95782

129.92 ms

Name	sum
Real Time	129921212.13
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	7176.85
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

332.19 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332191877.50
Time Unit	ns
Iterations	2

17.75 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17749740.68
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

20.50 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20495432.94
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	917.91
Time Unit	ns
Iterations	765469

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	353443.48
Time Unit	ns
Iterations	1980

3.81 KB

Name
Real Time
Time Unit
Iterations

43.78 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43778832.69
Time Unit	ns
Iterations	16

20.85 ms

Name	sum
Real Time	20848876.42
Time Unit	ns
Iterations	-1

43.78 ms

Name	sum
Real Time	43779750.60
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

48.12 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48116817.07
Time Unit	ns
Iterations	15

98.90 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98904104.00
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

11.15 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	11149657.37
Time Unit	ns
Iterations	63

6.75 ms

Name	PVE/vencrypt/Verify/0
Real Time	6750472.50
Time Unit	ns
Iterations	104

7.43 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7425403.73
Time Unit	ns
Iterations	94

Batch(4) - RSA2048

18.97 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18973049.16
Time Unit	ns
Iterations	37

14.26 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14262693.20
Time Unit	ns
Iterations	49

14.98 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14984329.98
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

48.56 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	48560787.93
Time Unit	ns
Iterations	14

43.41 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43412014.63
Time Unit	ns
Iterations	16

44.35 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44349813.25
Time Unit	ns
Iterations	16

Basic - P-256

23.68 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	23679441.30
Time Unit	ns
Iterations	30

12.93 ms

Name	PVE/vencrypt/Verify/1
Real Time	12925619.41
Time Unit	ns
Iterations	54

13.07 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13065876.30
Time Unit	ns
Iterations	54

Batch(4) - P-256

31.51 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31512734.27
Time Unit	ns
Iterations	22

20.41 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20414060.41
Time Unit	ns
Iterations	34

20.58 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20578370.06
Time Unit	ns
Iterations	34

Batch(16) - P-256

61.08 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	61076628.50
Time Unit	ns
Iterations	12

49.61 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	49613494.93
Time Unit	ns
Iterations	14

49.93 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	49934981.71
Time Unit	ns
Iterations	14

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

408.95 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	408945833.00
Time Unit	ns
Iterations	2

230.08 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	230076525.00
Time Unit	ns
Iterations	3

10.29 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	10288909.60
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.20 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6200415.33
Time Unit	ns
Iterations	113

12.29 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12293332.05
Time Unit	ns
Iterations	57

24.43 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24434118.10
Time Unit	ns
Iterations	29

49.10 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	49099023.50
Time Unit	ns
Iterations	14

97.60 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	97598022.57
Time Unit	ns
Iterations	7

195.45 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195450916.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.57 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26570849.35
Time Unit	ns
Iterations	26

52.97 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	52973349.23
Time Unit	ns
Iterations	13

108.04 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	108036565.14
Time Unit	ns
Iterations	7

212.08 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	212080450.00
Time Unit	ns
Iterations	3

422.86 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	422857615.00
Time Unit	ns
Iterations	2

848.89 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	848891618.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.44 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3442836.71
Time Unit	ns
Iterations	203

6.99 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6992989.20
Time Unit	ns
Iterations	100

13.81 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13806539.82
Time Unit	ns
Iterations	51

27.65 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27649027.72
Time Unit	ns
Iterations	25

55.19 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55191379.77
Time Unit	ns
Iterations	13

110.68 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	110677188.33
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.55 ms

Name	Full-OT-2P/1/1/2048
Real Time	24554701.24
Time Unit	ns
Iterations	29

message 1

round 2

109.77 ms

Name	Full-OT-2P/2/2/2048
Real Time	109767428.50
Time Unit	ns
Iterations	6

message 2

round 3

18.28 ms

Name	Full-OT-2P/3/1/2048
Real Time	18284261.92
Time Unit	ns
Iterations	38

message 3

Output Round

0.78 ms

Name	Full-OT-2P/4/2/2048
Real Time	778885.32
Time Unit	ns
Iterations	900

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.50 ms

Name	Full-OT-2P/1/1/4096
Real Time	24497775.31
Time Unit	ns
Iterations	29

message 1

round 2

111.04 ms

Name	Full-OT-2P/2/2/4096
Real Time	111041678.50
Time Unit	ns
Iterations	6

message 2

round 3

21.48 ms

Name	Full-OT-2P/3/1/4096
Real Time	21482107.34
Time Unit	ns
Iterations	32

message 3

Output Round

1.55 ms

Name	Full-OT-2P/4/2/4096
Real Time	1552933.04
Time Unit	ns
Iterations	451

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.53 ms

Name	Full-OT-2P/1/1/65536
Real Time	24532978.17
Time Unit	ns
Iterations	29

message 1

round 2

142.88 ms

Name	Full-OT-2P/2/2/65536
Real Time	142884114.60
Time Unit	ns
Iterations	5

message 2

round 3

117.03 ms

Name	Full-OT-2P/3/1/65536
Real Time	117027745.33
Time Unit	ns
Iterations	6

message 3

Output Round

25.01 ms

Name	Full-OT-2P/4/2/65536
Real Time	25007987.21
Time Unit	ns
Iterations	28

Agree Random - 256 bits

msg

Total Time

round 1

77.96 μs

Name	AgreeRandom-2P/1/1/256
Real Time	77955.22
Time Unit	ns
Iterations	10000

47.08 μs

Name	AgreeRandom-2P/1/2/256
Real Time	47077.32
Time Unit	ns
Iterations	10000

message 1

round 2

1.01 μs

Name	AgreeRandom-2P/2/1/256
Real Time	1005.64
Time Unit	ns
Iterations	10000

10.78 μs

Name	AgreeRandom-2P/2/2/256
Real Time	10777.77
Time Unit	ns
Iterations	10000

message 2

round 3

0.57 μs

Name	AgreeRandom-2P/3/1/256
Real Time	569.69
Time Unit	ns
Iterations	10000

0.73 μs

Name	AgreeRandom-2P/3/2/256
Real Time	734.34
Time Unit	ns
Iterations	10000

message 3

Output Round

42.64 μs

Name	AgreeRandom-2P/4/1/256
Real Time	42635.09
Time Unit	ns
Iterations	10000

47.43 μs

Name	AgreeRandom-2P/4/2/256
Real Time	47434.63
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

78.31 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	78305.79
Time Unit	ns
Iterations	10000

47.66 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	47656.31
Time Unit	ns
Iterations	10000

message 1

round 2

1.00 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	1000.41
Time Unit	ns
Iterations	10000

11.02 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	11024.38
Time Unit	ns
Iterations	10000

message 2

round 3

0.83 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	829.99
Time Unit	ns
Iterations	10000

0.83 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	830.25
Time Unit	ns
Iterations	10000

message 3

Output Round

44.18 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	44178.45
Time Unit	ns
Iterations	10000

48.48 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	48481.38
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

78.78 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	78783.34
Time Unit	ns
Iterations	10000

48.40 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	48396.82
Time Unit	ns
Iterations	10000

message 1

round 2

1.02 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	1023.75
Time Unit	ns
Iterations	10000

11.22 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	11218.85
Time Unit	ns
Iterations	10000

message 2

round 3

1.15 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1145.63
Time Unit	ns
Iterations	10000

1.03 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	1026.94
Time Unit	ns
Iterations	10000

message 3

Output Round

47.80 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	47801.83
Time Unit	ns
Iterations	10000

50.43 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	50429.97
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

68.90 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	68897.31
Time Unit	ns
Iterations	10000

46.57 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	46568.20
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	861.78
Time Unit	ns
Iterations	10000

10.75 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	10745.51
Time Unit	ns
Iterations	10000

message 2

Output Round

53.44 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	53436.61
Time Unit	ns
Iterations	10000

45.34 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	45336.77
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

68.60 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	68595.79
Time Unit	ns
Iterations	10000

47.39 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	47385.73
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	864.22
Time Unit	ns
Iterations	10000

10.82 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	10817.78
Time Unit	ns
Iterations	10000

message 2

Output Round

60.13 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	60127.78
Time Unit	ns
Iterations	10000

48.37 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	48373.97
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

69.20 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	69197.58
Time Unit	ns
Iterations	10000

47.84 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	47840.45
Time Unit	ns
Iterations	10000

message 1

round 2

0.85 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	850.83
Time Unit	ns
Iterations	10000

10.72 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	10717.32
Time Unit	ns
Iterations	10000

message 2

Output Round

60.42 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	60420.99
Time Unit	ns
Iterations	10000

48.67 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	48672.51
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

69.66 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	69656.02
Time Unit	ns
Iterations	10000

48.16 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	48157.98
Time Unit	ns
Iterations	10000

message 1

round 2

0.93 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	928.90
Time Unit	ns
Iterations	10000

11.14 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	11141.87
Time Unit	ns
Iterations	10000

message 2

Output Round

55.14 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	55137.05
Time Unit	ns
Iterations	10000

45.84 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	45836.79
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

70.98 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	70975.17
Time Unit	ns
Iterations	10000

47.45 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	47446.78
Time Unit	ns
Iterations	10000

message 1

round 2

0.89 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	891.35
Time Unit	ns
Iterations	10000

10.55 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	10546.03
Time Unit	ns
Iterations	10000

message 2

Output Round

59.56 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	59555.57
Time Unit	ns
Iterations	10000

47.82 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	47819.25
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	97953.30
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	70859.90
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	975.80
Time Unit	ns
Iterations	10

1.13 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1130223.10
Time Unit	ns
Iterations	10

message 2

round 3

7.98 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	7978745.40
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2320.30
Time Unit	ns
Iterations	10

message 3

Output Round

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	67825.50
Time Unit	ns
Iterations	10

7.01 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	7007109.10
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.08 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	76090.21
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	50228.39
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	1065.83
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	10774.45
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	705.42
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	823.50
Time Unit	ns
Iterations	200

message 3

Output Round

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	50016.52
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	52814.19
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	99544.32
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	45453.86
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	1214.58
Time Unit	ns
Iterations	50

1.53 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1525946.84
Time Unit	ns
Iterations	50

message 2

round 3

10.84 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10835778.66
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2875.36
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	19571.44
Time Unit	ns
Iterations	50

9.32 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9320054.42
Time Unit	ns
Iterations	50

message 4

Output Round

0.23 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	230981.88
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	72205.26
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	156623.08
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	53587.96
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1366.72
Time Unit	ns
Iterations	50

2.01 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	2009447.72
Time Unit	ns
Iterations	50

message 2

round 3

19.97 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	19974918.66
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2551.32
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	53962.64
Time Unit	ns
Iterations	50

18.19 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18188768.74
Time Unit	ns
Iterations	50

message 4

Output Round

0.64 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	641324.36
Time Unit	ns
Iterations	50

0.09 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	87709.46
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.43 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	431995.40
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	49317.94
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	1547.62
Time Unit	ns
Iterations	50

4.58 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4582720.48
Time Unit	ns
Iterations	50

message 2

round 3

57.25 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	57247410.06
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	3036.38
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	188636.86
Time Unit	ns
Iterations	50

53.33 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	53327125.08
Time Unit	ns
Iterations	50

message 4

Output Round

2.19 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2192700.88
Time Unit	ns
Iterations	50

0.10 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	103650.74
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

194.08 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	194079356.35
Time Unit	ns
Iterations	20

0.08 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	77036.35
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2563.95
Time Unit	ns
Iterations	20

1.16 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1157833.85
Time Unit	ns
Iterations	20

message 2

round 3

17.29 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17289804.35
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2934.90
Time Unit	ns
Iterations	20

message 3

Output Round

0.14 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	135904.10
Time Unit	ns
Iterations	20

76.88 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	76876084.40
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

82.74 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	82741037.45
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	60879.50
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1768.40
Time Unit	ns
Iterations	20

0.47 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	471472.40
Time Unit	ns
Iterations	20

message 2

round 3

10.52 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10520694.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1349.75
Time Unit	ns
Iterations	20

message 3

Output Round

0.11 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	105458.35
Time Unit	ns
Iterations	20

85.86 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85859681.80
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.58 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1583808.05
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	54381.90
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	1369.00
Time Unit	ns
Iterations	20

1.54 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1542384.80
Time Unit	ns
Iterations	20

message 2

round 3

1.94 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1940774.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2384.30
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	4602.45
Time Unit	ns
Iterations	20

42.97 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42971835.00
Time Unit	ns
Iterations	20

message 4

Output Round

23.57 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23572537.75
Time Unit	ns
Iterations	20

0.10 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	101539.05
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.04 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	2043327.55
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	51085.15
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	1472.65
Time Unit	ns
Iterations	20

1.94 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1938605.80
Time Unit	ns
Iterations	20

message 2

round 3

2.89 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2893051.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2531.80
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	5902.95
Time Unit	ns
Iterations	20

166.66 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	166663316.40
Time Unit	ns
Iterations	20

message 4

Output Round

93.97 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	93972908.15
Time Unit	ns
Iterations	20

0.12 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	124147.90
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.62 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4621371.15
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	55988.85
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	1112.10
Time Unit	ns
Iterations	20

4.66 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4662063.45
Time Unit	ns
Iterations	20

message 2

round 3

6.85 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6849603.85
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3168.80
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	6393.95
Time Unit	ns
Iterations	20

662.56 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	662556570.55
Time Unit	ns
Iterations	20

message 4

Output Round

373.93 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	373930379.30
Time Unit	ns
Iterations	20

0.21 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	209693.80
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.61 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1613770.85
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	63228.05
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	1211.70
Time Unit	ns
Iterations	20

1.53 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1529033.70
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	1946871.10
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2816.80
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	4073.60
Time Unit	ns
Iterations	20

13.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13013768.95
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

2.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2012647.60
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	49887.65
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	1006.40
Time Unit	ns
Iterations	20

1.93 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1925114.95
Time Unit	ns
Iterations	20

message 2

round 3

2.88 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2881144.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	2402.95
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	5481.05
Time Unit	ns
Iterations	20

47.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47039729.20
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

4.69 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4688941.60
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	55713.40
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	1047.60
Time Unit	ns
Iterations	20

4.57 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4566617.65
Time Unit	ns
Iterations	20

message 2

round 3

6.92 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6915818.25
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	4608.15
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	5726.20
Time Unit	ns
Iterations	20

183.79 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	183791978.20
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

0.26 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	261197.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	224279.00
Time Unit	ns
Iterations	1

0.21 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	207879.00
Time Unit	ns
Iterations	1

0.26 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	259394.00
Time Unit	ns
Iterations	1

message 1

round 2

1.59 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1591736.00
Time Unit	ns
Iterations	1

1.64 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1638132.00
Time Unit	ns
Iterations	1

1.60 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1600653.00
Time Unit	ns
Iterations	1

1.61 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1607966.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.65 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20647342.00
Time Unit	ns
Iterations	1

20.69 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20690429.00
Time Unit	ns
Iterations	1

20.58 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20580425.00
Time Unit	ns
Iterations	1

20.50 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20502052.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.68 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4677530.10
Time Unit	ns
Iterations	10

4.66 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4663656.80
Time Unit	ns
Iterations	10

4.66 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4661081.90
Time Unit	ns
Iterations	10

4.64 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4643705.90
Time Unit	ns
Iterations	10

message 1

round 2

2.61 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2606055.60
Time Unit	ns
Iterations	10

2.60 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2603740.10
Time Unit	ns
Iterations	10

2.61 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2609120.50
Time Unit	ns
Iterations	10

2.61 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2605246.30
Time Unit	ns
Iterations	10

message 2

Output Round

70.07 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	70068745.40
Time Unit	ns
Iterations	10

70.04 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	70039191.20
Time Unit	ns
Iterations	10

71.23 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	71227761.20
Time Unit	ns
Iterations	10

69.94 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	69943540.00
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	259563.80
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	264472.10
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	271205.90
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	266389.10
Time Unit	ns
Iterations	10

message 1

round 2

2.59 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2586565.50
Time Unit	ns
Iterations	10

2.58 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2583512.10
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2589121.20
Time Unit	ns
Iterations	10

2.60 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2596838.10
Time Unit	ns
Iterations	10

message 2

round 3

45.49 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	45491851.90
Time Unit	ns
Iterations	10

45.39 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45392446.60
Time Unit	ns
Iterations	10

45.44 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45437306.50
Time Unit	ns
Iterations	10

45.45 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	45451614.10
Time Unit	ns
Iterations	10

message 3

Output Round

0.51 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	513810.80
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	126982.10
Time Unit	ns
Iterations	10

0.12 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	118864.60
Time Unit	ns
Iterations	10

0.12 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	120639.60
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.20 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	202063.50
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	182491.40
Time Unit	ns
Iterations	10

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	185398.90
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	177169.40
Time Unit	ns
Iterations	10

message 1

round 2

1.31 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1314713.40
Time Unit	ns
Iterations	10

1.31 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1314479.40
Time Unit	ns
Iterations	10

1.31 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1310143.90
Time Unit	ns
Iterations	10

1.32 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1324836.40
Time Unit	ns
Iterations	10

message 2

Output Round

3.28 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3281505.20
Time Unit	ns
Iterations	10

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3232152.50
Time Unit	ns
Iterations	10

3.24 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3240530.20
Time Unit	ns
Iterations	10

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3228109.60
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.65 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4649541.30
Time Unit	ns
Iterations	10

4.66 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4656978.00
Time Unit	ns
Iterations	10

4.64 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4637895.20
Time Unit	ns
Iterations	10

4.67 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4674031.80
Time Unit	ns
Iterations	10

message 1

round 2

1.16 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1158748.60
Time Unit	ns
Iterations	10

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1134563.90
Time Unit	ns
Iterations	10

1.12 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1122432.40
Time Unit	ns
Iterations	10

1.12 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1118181.60
Time Unit	ns
Iterations	10

message 2

Output Round

11.08 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	11080146.50
Time Unit	ns
Iterations	10

11.13 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11125614.90
Time Unit	ns
Iterations	10

11.03 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11033643.20
Time Unit	ns
Iterations	10

11.06 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11055415.10
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	223948.60
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	225090.90
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	225921.90
Time Unit	ns
Iterations	10

0.24 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	237445.30
Time Unit	ns
Iterations	10

message 1

round 2

69.62 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69624680.40
Time Unit	ns
Iterations	10

46.74 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46740414.10
Time Unit	ns
Iterations	10

24.01 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24013439.80
Time Unit	ns
Iterations	10

1.34 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1341129.20
Time Unit	ns
Iterations	10

message 2

round 3

3.20 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3196008.80
Time Unit	ns
Iterations	10

162.28 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	162278801.80
Time Unit	ns
Iterations	10

321.42 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	321421069.40
Time Unit	ns
Iterations	10

480.10 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	480098149.10
Time Unit	ns
Iterations	10

message 3

round 4

71.24 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	71238888.90
Time Unit	ns
Iterations	10

49.68 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	49679386.60
Time Unit	ns
Iterations	10

27.99 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	27990788.70
Time Unit	ns
Iterations	10

6.79 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6790598.00
Time Unit	ns
Iterations	10

message 4

round 5

9.91 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9906415.20
Time Unit	ns
Iterations	10

12.30 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12304523.40
Time Unit	ns
Iterations	10

14.64 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	14637665.00
Time Unit	ns
Iterations	10

16.85 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	16849796.60
Time Unit	ns
Iterations	10

message 5

round 6

11.17 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11168769.20
Time Unit	ns
Iterations	10

10.07 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10072428.70
Time Unit	ns
Iterations	10

9.05 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9047725.30
Time Unit	ns
Iterations	10

7.77 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7765443.70
Time Unit	ns
Iterations	10

message 6

round 7

24.63 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	24625790.90
Time Unit	ns
Iterations	10

24.87 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	24866017.80
Time Unit	ns
Iterations	10

24.73 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	24732566.80
Time Unit	ns
Iterations	10

24.82 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	24821186.30
Time Unit	ns
Iterations	10

message 7

round 8

9.30 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9298611.40
Time Unit	ns
Iterations	10

9.25 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9252142.90
Time Unit	ns
Iterations	10

9.25 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9247137.80
Time Unit	ns
Iterations	10

9.24 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9240647.50
Time Unit	ns
Iterations	10

message 8

round 9

2.77 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2770117.00
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2764651.40
Time Unit	ns
Iterations	10

2.74 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2742604.20
Time Unit	ns
Iterations	10

2.75 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2749420.70
Time Unit	ns
Iterations	10

message 9

Output Round

2.93 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2934852.40
Time Unit	ns
Iterations	10

1.38 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1380495.00
Time Unit	ns
Iterations	10

1.44 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1444059.90
Time Unit	ns
Iterations	10

1.40 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1402290.50
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