Benchmark Context

Date: 2026-05-22T14:45:46+00:00
Commit: e97eec7b766cf548794656b079e6d3ca52f87a01
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3492

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.08 μs

Name	Core/BN/ModAdd/256
Real Time	77.49
Time Unit	ns
Iterations	8954652

0.10 μs

Name	Core/BN/ModAdd/512
Real Time	103.02
Time Unit	ns
Iterations	6826663

0.15 μs

Name	Core/BN/ModAdd/1024
Real Time	153.45
Time Unit	ns
Iterations	4571048

0.27 μs

Name	Core/BN/ModAdd/2048
Real Time	266.15
Time Unit	ns
Iterations	2633986

0.47 μs

Name	Core/BN/ModAdd/4096
Real Time	474.34
Time Unit	ns
Iterations	1474764

Mod Sub

0.07 μs

Name	Core/BN/ModSubtract/256
Real Time	73.94
Time Unit	ns
Iterations	9452973

0.10 μs

Name	Core/BN/ModSubtract/512
Real Time	102.64
Time Unit	ns
Iterations	6919785

0.16 μs

Name	Core/BN/ModSubtract/1024
Real Time	164.57
Time Unit	ns
Iterations	4117613

0.29 μs

Name	Core/BN/ModSubtract/2048
Real Time	289.61
Time Unit	ns
Iterations	2407843

0.55 μs

Name	Core/BN/ModSubtract/4096
Real Time	546.29
Time Unit	ns
Iterations	1283910

Mod Mul

0.16 μs

Name	Core/BN/ModMultiply/256
Real Time	163.73
Time Unit	ns
Iterations	4271914

0.32 μs

Name	Core/BN/ModMultiply/512
Real Time	319.74
Time Unit	ns
Iterations	2193696

0.88 μs

Name	Core/BN/ModMultiply/1024
Real Time	876.89
Time Unit	ns
Iterations	815496

3.06 μs

Name	Core/BN/ModMultiply/2048
Real Time	3057.08
Time Unit	ns
Iterations	229484

12.02 μs

Name	Core/BN/ModMultiply/4096
Real Time	12021.35
Time Unit	ns
Iterations	57984

Mod Exponentiate

14.70 μs

Name	Core/BN/ModExponentiate/256
Real Time	14703.49
Time Unit	ns
Iterations	47654

40.69 μs

Name	Core/BN/ModExponentiate/512
Real Time	40685.65
Time Unit	ns
Iterations	17199

286.83 μs

Name	Core/BN/ModExponentiate/1024
Real Time	286825.24
Time Unit	ns
Iterations	2440

1996.76 μs

Name	Core/BN/ModExponentiate/2048
Real Time	1996757.30
Time Unit	ns
Iterations	351

14951.67 μs

Name	Core/BN/ModExponentiate/4096
Real Time	14951670.94
Time Unit	ns
Iterations	47

Mod Invert

16.12 μs

Name	Core/BN/ModInvert/256
Real Time	16121.66
Time Unit	ns
Iterations	43432

34.78 μs

Name	Core/BN/ModInvert/512
Real Time	34783.29
Time Unit	ns
Iterations	20033

82.76 μs

Name	Core/BN/ModInvert/1024
Real Time	82762.29
Time Unit	ns
Iterations	8465

220.92 μs

Name	Core/BN/ModInvert/2048
Real Time	220917.20
Time Unit	ns
Iterations	3167

678.34 μs

Name	Core/BN/ModInvert/4096
Real Time	678339.37
Time Unit	ns
Iterations	1030

GCD

21.21 μs

Name	Core/BN/GCD/256
Real Time	21213.07
Time Unit	ns
Iterations	34186

47.64 μs

Name	Core/BN/GCD/512
Real Time	47641.46
Time Unit	ns
Iterations	14784

127.06 μs

Name	Core/BN/GCD/1024
Real Time	127055.66
Time Unit	ns
Iterations	5635

375.31 μs

Name	Core/BN/GCD/2048
Real Time	375314.76
Time Unit	ns
Iterations	1888

1236.05 μs

Name	Core/BN/GCD/4096
Real Time	1236053.82
Time Unit	ns
Iterations	568

GCD with RSA Modulus

20.35 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	20346.62
Time Unit	ns
Iterations	33192

47.38 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	47380.61
Time Unit	ns
Iterations	14617

124.45 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	124446.64
Time Unit	ns
Iterations	5485

370.31 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	370310.28
Time Unit	ns
Iterations	1880

1224.63 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1224629.12
Time Unit	ns
Iterations	567

Batch(16) GCD with RSA Modulus

24.02 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	24018.78
Time Unit	ns
Iterations	28931

53.18 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	53182.15
Time Unit	ns
Iterations	13275

138.17 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	138172.89
Time Unit	ns
Iterations	4987

416.79 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	416789.04
Time Unit	ns
Iterations	1676

1415.41 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1415405.34
Time Unit	ns
Iterations	493

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.33 μs

Name	Core/EC/Add/secp256k1
Real Time	326.01
Time Unit	ns
Iterations	2144635

0.33 μs

Name	Core/EC/Add/Ed25519
Real Time	325.13
Time Unit	ns
Iterations	2152257

Add (Constant Time)

3.16 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	3155.18
Time Unit	ns
Iterations	221993

0.33 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	330.23
Time Unit	ns
Iterations	2119643

Multiply

40.51 μs

Name	Core/EC/Multiply/secp256k1
Real Time	40505.37
Time Unit	ns
Iterations	17304

62.78 μs

Name	Core/EC/Multiply/Ed25519
Real Time	62782.34
Time Unit	ns
Iterations	11156

Multiply (Variable Time)

28.76 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	28762.56
Time Unit	ns
Iterations	25130

62.84 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	62838.16
Time Unit	ns
Iterations	11138

Multiply Generator

17.16 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	17158.39
Time Unit	ns
Iterations	40794

14.51 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14512.18
Time Unit	ns
Iterations	48260

Multipliply Generator (Variable Time)

17.16 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	17157.11
Time Unit	ns
Iterations	40810

7.08 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7077.02
Time Unit	ns
Iterations	99307

MulAdd

60.94 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	60942.24
Time Unit	ns
Iterations	11538

78.10 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	78104.58
Time Unit	ns
Iterations	9000

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.32 μs

Name	Core/Hash/SHA256/16
Real Time	324.20
Time Unit	ns
Iterations	2147496

0.37 μs

Name	Core/Hash/SHA256/64
Real Time	371.72
Time Unit	ns
Iterations	1883697

0.52 μs

Name	Core/Hash/SHA256/256
Real Time	519.34
Time Unit	ns
Iterations	1354829

1.10 μs

Name	Core/Hash/SHA256/1024
Real Time	1095.02
Time Unit	ns
Iterations	639096

3.41 μs

Name	Core/Hash/SHA256/4096
Real Time	3405.45
Time Unit	ns
Iterations	205500

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

1.16 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	1156.89
Time Unit	ns
Iterations	605987

1.20 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	1202.92
Time Unit	ns
Iterations	582468

1.35 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	1348.58
Time Unit	ns
Iterations	518407

1.93 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1926.40
Time Unit	ns
Iterations	363168

4.24 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	4238.24
Time Unit	ns
Iterations	165104

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

0.75 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	746.27
Time Unit	ns
Iterations	938844

0.96 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	964.32
Time Unit	ns
Iterations	725256

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

0.77 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	773.45
Time Unit	ns
Iterations	901912

1.02 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1021.85
Time Unit	ns
Iterations	673296

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

78.91 μs

Name	BP/ElGamal/Commit/3
Real Time	78912.71
Time Unit	ns
Iterations	8877

94.00 μs

Name	BP/ElGamal/Commit/4
Real Time	93995.20
Time Unit	ns
Iterations	7459

Rerand

64.23 μs

Name	BP/ElGamal/Rerand/3
Real Time	64225.97
Time Unit	ns
Iterations	10791

78.51 μs

Name	BP/ElGamal/Rerand/4
Real Time	78509.97
Time Unit	ns
Iterations	8927

Add

6.37 μs

Name	BP/ElGamal/Add/3
Real Time	6366.16
Time Unit	ns
Iterations	109741

0.71 μs

Name	BP/ElGamal/Add/4
Real Time	713.53
Time Unit	ns
Iterations	988740

Add Scalar

17.76 μs

Name	BP/ElGamal/AddScalar/3
Real Time	17764.98
Time Unit	ns
Iterations	39416

7.64 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7640.14
Time Unit	ns
Iterations	91619

Mul Scalar

80.86 μs

Name	BP/ElGamal/MulScalar/3
Real Time	80860.41
Time Unit	ns
Iterations	8663

125.93 μs

Name	BP/ElGamal/MulScalar/4
Real Time	125933.21
Time Unit	ns
Iterations	5555

Paillier

Operation \ Bit length

2048 bits

Generate Key

43.33 ms

Name	BP/Paillier/Gen
Real Time	43326202.41
Time Unit	ns
Iterations	17

Encrypt (with private key)

4.19 ms

Name	BP/Paillier/Enc
Real Time	4185494.91
Time Unit	ns
Iterations	167

Encrypt

8.00 ms

Name	BP/Paillier/Pub-Enc
Real Time	8002823.30
Time Unit	ns
Iterations	87

Decrypt

4.32 ms

Name	BP/Paillier/Dec
Real Time	4315901.39
Time Unit	ns
Iterations	158

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	12046.19
Time Unit	ns
Iterations	58049

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	14462.40
Time Unit	ns
Iterations	48425

Mul-Scalar

7.53 ms

Name	BP/Paillier/Mul-Scalar
Real Time	7528956.75
Time Unit	ns
Iterations	93

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

193.09 μs

Name	tdh2-encrypt-1P/4/256
Real Time	193087.18
Time Unit	ns
Iterations	3625

193.29 μs

Name	tdh2-encrypt-1P/30/256
Real Time	193287.28
Time Unit	ns
Iterations	3570

273.17 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	273167.57
Time Unit	ns
Iterations	2562

272.93 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	272929.82
Time Unit	ns
Iterations	2567

Verify

215.94 μs

Name	tdh2-verify-1P/4/256
Real Time	215944.68
Time Unit	ns
Iterations	3537

233.68 μs

Name	tdh2-verify-1P/30/256
Real Time	233682.07
Time Unit	ns
Iterations	3544

246.96 μs

Name	tdh2-verify-1P/4/65536
Real Time	246962.94
Time Unit	ns
Iterations	2635

246.94 μs

Name	tdh2-verify-1P/30/65536
Real Time	246942.35
Time Unit	ns
Iterations	2476

Local Decrypt

317.80 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	317798.61
Time Unit	ns
Iterations	2201

336.57 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	336574.78
Time Unit	ns
Iterations	2201

367.01 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	367006.86
Time Unit	ns
Iterations	1907

408.42 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	408415.27
Time Unit	ns
Iterations	1906

Combine

1093.08 μs

Name	tdh2-combine-1P/4/256
Real Time	1093081.33
Time Unit	ns
Iterations	655

5508.35 μs

Name	tdh2-combine-1P/30/256
Real Time	5508351.84
Time Unit	ns
Iterations	129

1105.36 μs

Name	tdh2-combine-1P/4/65536
Real Time	1105363.02
Time Unit	ns
Iterations	653

5551.28 μs

Name	tdh2-combine-1P/30/65536
Real Time	5551275.60
Time Unit	ns
Iterations	126

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.31 μs

Name	Crypto/DRBG/String/1024
Real Time	1313.47
Time Unit	ns
Iterations	531587

1.38 μs

Name	Crypto/DRBG/String/2048
Real Time	1377.20
Time Unit	ns
Iterations	517516

1.49 μs

Name	Crypto/DRBG/String/4096
Real Time	1485.86
Time Unit	ns
Iterations	467486

1.69 μs

Name	Crypto/DRBG/String/8192
Real Time	1685.59
Time Unit	ns
Iterations	418989

2.13 μs

Name	Crypto/DRBG/String/16384
Real Time	2127.00
Time Unit	ns
Iterations	326969

2.97 μs

Name	Crypto/DRBG/String/32768
Real Time	2973.18
Time Unit	ns
Iterations	235288

4.68 μs

Name	Crypto/DRBG/String/65536
Real Time	4683.26
Time Unit	ns
Iterations	149924

8.04 μs

Name	Crypto/DRBG/String/131072
Real Time	8041.04
Time Unit	ns
Iterations	86523

14.46 μs

Name	Crypto/DRBG/String/262144
Real Time	14457.33
Time Unit	ns
Iterations	48434

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.51 μs

Name	Crypto/DRBG/Number/256
Real Time	1513.99
Time Unit	ns
Iterations	467528

1.60 μs

Name	Crypto/DRBG/Number/512
Real Time	1602.61
Time Unit	ns
Iterations	436769

1.80 μs

Name	Crypto/DRBG/Number/1024
Real Time	1798.75
Time Unit	ns
Iterations	388176

2.18 μs

Name	Crypto/DRBG/Number/2048
Real Time	2182.10
Time Unit	ns
Iterations	319255

2.96 μs

Name	Crypto/DRBG/Number/4096
Real Time	2959.64
Time Unit	ns
Iterations	236914

Curve

secp256k1

Ed25519

DRBG-Curve

19.09 μs

Name	Crypto/DRBG/Curve/3
Real Time	19091.00
Time Unit	ns
Iterations	36691

16.49 μs

Name	Crypto/DRBG/Curve/4
Real Time	16488.91
Time Unit	ns
Iterations	42511

HMAC

#big number

Commit

2.29 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2285.01
Time Unit	ns
Iterations	307877

2.56 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2561.13
Time Unit	ns
Iterations	273765

2.90 μs

Name	Crypto/Commitment/ComBn/6
Real Time	2896.63
Time Unit	ns
Iterations	241652

3.17 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3169.18
Time Unit	ns
Iterations	221750

3.44 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3442.04
Time Unit	ns
Iterations	203058

3.71 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3713.69
Time Unit	ns
Iterations	188188

3.99 μs

Name	Crypto/Commitment/ComBn/14
Real Time	3986.86
Time Unit	ns
Iterations	175003

4.27 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4266.26
Time Unit	ns
Iterations	163556

4.55 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4545.32
Time Unit	ns
Iterations	154065

4.80 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4804.32
Time Unit	ns
Iterations	146173

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

78.91 μs

Name	BP/ElGamal/Commit/3
Real Time	78912.71
Time Unit	ns
Iterations	8877

94.00 μs

Name	BP/ElGamal/Commit/4
Real Time	93995.20
Time Unit	ns
Iterations	7459

Rerand

64.23 μs

Name	BP/ElGamal/Rerand/3
Real Time	64225.97
Time Unit	ns
Iterations	10791

78.51 μs

Name	BP/ElGamal/Rerand/4
Real Time	78509.97
Time Unit	ns
Iterations	8927

Add

6.37 μs

Name	BP/ElGamal/Add/3
Real Time	6366.16
Time Unit	ns
Iterations	109741

0.71 μs

Name	BP/ElGamal/Add/4
Real Time	713.53
Time Unit	ns
Iterations	988740

Add Scalar

17.76 μs

Name	BP/ElGamal/AddScalar/3
Real Time	17764.98
Time Unit	ns
Iterations	39416

7.64 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7640.14
Time Unit	ns
Iterations	91619

Mul Scalar

80.86 μs

Name	BP/ElGamal/MulScalar/3
Real Time	80860.41
Time Unit	ns
Iterations	8663

125.93 μs

Name	BP/ElGamal/MulScalar/4
Real Time	125933.21
Time Unit	ns
Iterations	5555

Shamir Secret Sharing

m\n

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Horner's rule

m\n

256 bit field

0.60 μs

Name	BP/Share/Horner/3
Real Time	602.67
Time Unit	ns
Iterations	1206852

0.83 μs

Name	BP/Share/Horner/4
Real Time	829.02
Time Unit	ns
Iterations	843186

1.34 μs

Name	BP/Share/Horner/6
Real Time	1343.31
Time Unit	ns
Iterations	522217

1.85 μs

Name	BP/Share/Horner/8
Real Time	1853.90
Time Unit	ns
Iterations	377569

2.38 μs

Name	BP/Share/Horner/10
Real Time	2383.44
Time Unit	ns
Iterations	295293

3.90 μs

Name	BP/Share/Horner/16
Real Time	3903.57
Time Unit	ns
Iterations	179817

7.98 μs

Name	BP/Share/Horner/32
Real Time	7979.85
Time Unit	ns
Iterations	87800

secp256k1

81.51 μs

Name	BP/Share/ECHorner/3/3
Real Time	81509.50
Time Unit	ns
Iterations	8585

122.41 μs

Name	BP/Share/ECHorner/3/4
Real Time	122413.62
Time Unit	ns
Iterations	5729

203.67 μs

Name	BP/Share/ECHorner/3/6
Real Time	203674.17
Time Unit	ns
Iterations	3433

285.22 μs

Name	BP/Share/ECHorner/3/8
Real Time	285218.96
Time Unit	ns
Iterations	2453

366.60 μs

Name	BP/Share/ECHorner/3/10
Real Time	366599.94
Time Unit	ns
Iterations	1909

611.26 μs

Name	BP/Share/ECHorner/3/16
Real Time	611259.11
Time Unit	ns
Iterations	1146

1262.96 μs

Name	BP/Share/ECHorner/3/32
Real Time	1262957.66
Time Unit	ns
Iterations	555

Ed25519

126.42 μs

Name	BP/Share/ECHorner/4/3
Real Time	126418.09
Time Unit	ns
Iterations	5525

189.84 μs

Name	BP/Share/ECHorner/4/4
Real Time	189836.86
Time Unit	ns
Iterations	3688

316.75 μs

Name	BP/Share/ECHorner/4/6
Real Time	316749.77
Time Unit	ns
Iterations	2213

442.26 μs

Name	BP/Share/ECHorner/4/8
Real Time	442257.77
Time Unit	ns
Iterations	1582

570.37 μs

Name	BP/Share/ECHorner/4/10
Real Time	570371.90
Time Unit	ns
Iterations	1230

955.37 μs

Name	BP/Share/ECHorner/4/16
Real Time	955365.57
Time Unit	ns
Iterations	740

1959.86 μs

Name	BP/Share/ECHorner/4/32
Real Time	1959863.00
Time Unit	ns
Iterations	358

Lagrange interpolation

m\n

256 bit field

34.90 μs

Name	BP/Share/Lagrange/3
Real Time	34899.23
Time Unit	ns
Iterations	19666

54.96 μs

Name	BP/Share/Lagrange/4
Real Time	54958.73
Time Unit	ns
Iterations	12687

97.85 μs

Name	BP/Share/Lagrange/6
Real Time	97852.87
Time Unit	ns
Iterations	7116

148.07 μs

Name	BP/Share/Lagrange/8
Real Time	148070.19
Time Unit	ns
Iterations	4704

206.15 μs

Name	BP/Share/Lagrange/10
Real Time	206152.09
Time Unit	ns
Iterations	3378

424.77 μs

Name	BP/Share/Lagrange/16
Real Time	424768.45
Time Unit	ns
Iterations	1653

1319.34 μs

Name	BP/Share/Lagrange/32
Real Time	1319340.04
Time Unit	ns
Iterations	533

secp256k1

123.56 μs

Name	BP/Share/ECLagrange/3/3
Real Time	123560.78
Time Unit	ns
Iterations	5592

169.76 μs

Name	BP/Share/ECLagrange/3/4
Real Time	169760.49
Time Unit	ns
Iterations	4034

276.67 μs

Name	BP/Share/ECLagrange/3/6
Real Time	276673.79
Time Unit	ns
Iterations	2493

391.68 μs

Name	BP/Share/ECLagrange/3/8
Real Time	391681.66
Time Unit	ns
Iterations	1761

515.02 μs

Name	BP/Share/ECLagrange/3/10
Real Time	515019.72
Time Unit	ns
Iterations	1345

931.30 μs

Name	BP/Share/ECLagrange/3/16
Real Time	931300.99
Time Unit	ns
Iterations	751

2363.43 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2363430.44
Time Unit	ns
Iterations	298

Ed25519

225.87 μs

Name	BP/Share/ECLagrange/4/3
Real Time	225874.31
Time Unit	ns
Iterations	3077

306.96 μs

Name	BP/Share/ECLagrange/4/4
Real Time	306960.44
Time Unit	ns
Iterations	2258

477.34 μs

Name	BP/Share/ECLagrange/4/6
Real Time	477340.50
Time Unit	ns
Iterations	1468

652.55 μs

Name	BP/Share/ECLagrange/4/8
Real Time	652550.13
Time Unit	ns
Iterations	1060

837.65 μs

Name	BP/Share/ECLagrange/4/10
Real Time	837653.91
Time Unit	ns
Iterations	832

1431.24 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1431241.61
Time Unit	ns
Iterations	487

3331.12 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3331115.57
Time Unit	ns
Iterations	210

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.93 ms

Name	ZK/DL/Prover/3
Real Time	931515.49
Time Unit	ns
Iterations	751

0.76 ms

Name	ZK/DL/Verify/3
Real Time	757334.01
Time Unit	ns
Iterations	924

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.92 ms

Name	ZK/DL/Prover/4
Real Time	919617.10
Time Unit	ns
Iterations	758

4.46 ms

Name	ZK/DL/Verify/4
Real Time	4455516.10
Time Unit	ns
Iterations	157

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	79120.05
Time Unit	ns
Iterations	8837

0.14 ms

Name	ZK/DH/Verify/3
Real Time	135219.68
Time Unit	ns
Iterations	5186

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.74 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2738970.49
Time Unit	ns
Iterations	259

1.06 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1062620.06
Time Unit	ns
Iterations	658

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	79445.85
Time Unit	ns
Iterations	8802

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	140989.52
Time Unit	ns
Iterations	4990

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	261480.13
Time Unit	ns
Iterations	2673

0.33 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	328770.32
Time Unit	ns
Iterations	2115

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.37 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4365029.69
Time Unit	ns
Iterations	161

0.99 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	989159.25
Time Unit	ns
Iterations	710

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

21.22 ms

Name	ZK/ValidPaillier/Prover
Real Time	21215512.30
Time Unit	ns
Iterations	33

20.53 ms

Name	ZK/ValidPaillier/Verify
Real Time	20527444.00
Time Unit	ns
Iterations	34

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

83.71 ms

Name	ZK/PaillierZero/Prover
Real Time	83708062.75
Time Unit	ns
Iterations	8

79.53 ms

Name	ZK/PaillierZero/Verify
Real Time	79531622.44
Time Unit	ns
Iterations	9

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

82.29 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	82287821.11
Time Unit	ns
Iterations	9

167.71 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	167707050.75
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

299.49 ms

Name	ZK/RangePedersen/Prover/3
Real Time	299490792.00
Time Unit	ns
Iterations	2

16.07 ms

Name	ZK/RangePedersen/Verify/3
Real Time	16070194.34
Time Unit	ns
Iterations	44

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

43.52 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	43516724.94
Time Unit	ns
Iterations	16

89.89 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	89887070.62
Time Unit	ns
Iterations	8

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

346.13 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	346129161.50
Time Unit	ns
Iterations	2

107.08 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	107078239.57
Time Unit	ns
Iterations	7

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

352.76 ms

Name	ZK/PDL/Prover
Real Time	352761050.50
Time Unit	ns
Iterations	2

116.75 ms

Name	ZK/PDL/Verify
Real Time	116751172.00
Time Unit	ns
Iterations	6

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

268.76 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	268758639.33
Time Unit	ns
Iterations	3

269.98 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	269984333.00
Time Unit	ns
Iterations	3

34.13 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

0.93 ms

Name	ZK/DL/Prover/3
Real Time	931515.49
Time Unit	ns
Iterations	751

0.76 ms

Name	ZK/DL/Verify/3
Real Time	757334.01
Time Unit	ns
Iterations	924

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.65 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1650061.21
Time Unit	ns
Iterations	431

2.02 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2022660.40
Time Unit	ns
Iterations	344

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

4.11 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	4105645.58
Time Unit	ns
Iterations	173

4.57 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	4567289.40
Time Unit	ns
Iterations	153

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

12.42 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	12416428.21
Time Unit	ns
Iterations	58

21.90 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	21903630.79
Time Unit	ns
Iterations	33

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.92 ms

Name	ZK/DL/Prover/4
Real Time	919617.10
Time Unit	ns
Iterations	758

4.46 ms

Name	ZK/DL/Verify/4
Real Time	4455516.10
Time Unit	ns
Iterations	157

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.64 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1635157.27
Time Unit	ns
Iterations	427

14.51 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14505705.12
Time Unit	ns
Iterations	48

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

4.04 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	4043568.76
Time Unit	ns
Iterations	173

48.23 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	48230417.00
Time Unit	ns
Iterations	15

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

12.20 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	12199664.05
Time Unit	ns
Iterations	55

268.79 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	268792615.33
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	397.01
Time Unit	ns
Iterations	1765865

0.02 KB

Name
Real Time
Time Unit
Iterations

8.85 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	8853904.16
Time Unit	ns
Iterations	79

1.03 KB

Name
Real Time
Time Unit
Iterations

8.39 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	8392917.57
Time Unit	ns
Iterations	83

8.85 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	8853904.16
Time Unit	ns
Iterations	79

8.39 ms

Name	sum
Real Time	8393314.57
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

21.22 ms

Name	ZK/ValidPaillier/Prover
Real Time	21215512.30
Time Unit	ns
Iterations	33

20.53 ms

Name	ZK/ValidPaillier/Verify
Real Time	20527444.00
Time Unit	ns
Iterations	34

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

83.71 ms

Name	ZK/PaillierZero/Prover
Real Time	83708062.75
Time Unit	ns
Iterations	8

79.53 ms

Name	ZK/PaillierZero/Verify
Real Time	79531622.44
Time Unit	ns
Iterations	9

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.01 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	33006728.73
Time Unit	ns
Iterations	22

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	531.50
Time Unit	ns
Iterations	1325935

0.00 KB

Name
Real Time
Time Unit
Iterations

0.67 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	671979.89
Time Unit	ns
Iterations	1060

0.00 KB

Name
Real Time
Time Unit
Iterations

67.08 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	67080223.90
Time Unit	ns
Iterations	10

33.68 ms

Name	sum
Real Time	33678708.62
Time Unit	ns
Iterations	-1

67.08 ms

Name	sum
Real Time	67080755.40
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

82.29 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	82287821.11
Time Unit	ns
Iterations	9

167.71 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	167707050.75
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

117.35 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	117349496.83
Time Unit	ns
Iterations	6

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	399.93
Time Unit	ns
Iterations	1747550

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	10207.87
Time Unit	ns
Iterations	89304

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	9069.49
Time Unit	ns
Iterations	67107

117.36 ms

Name	sum
Real Time	117359704.71
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	9469.43
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

299.49 ms

Name	ZK/RangePedersen/Prover/3
Real Time	299490792.00
Time Unit	ns
Iterations	2

16.07 ms

Name	ZK/RangePedersen/Verify/3
Real Time	16070194.34
Time Unit	ns
Iterations	44

Paillier Pedersen Equal

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

18.50 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	18504430.76
Time Unit	ns
Iterations	38

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierPedersenEq-Int/V2/3
Real Time	496.09
Time Unit	ns
Iterations	1413856

0.01 KB

Name
Real Time
Time Unit
Iterations

0.33 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	331743.86
Time Unit	ns
Iterations	2111

3.81 KB

Name
Real Time
Time Unit
Iterations

39.92 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	39921899.22
Time Unit	ns
Iterations	18

18.84 ms

Name	sum
Real Time	18836174.62
Time Unit	ns
Iterations	-1

39.92 ms

Name	sum
Real Time	39922395.31
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

43.52 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	43516724.94
Time Unit	ns
Iterations	16

89.89 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	89887070.62
Time Unit	ns
Iterations	8

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.69 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10686775.39
Time Unit	ns
Iterations	66

6.59 ms

Name	PVE/vencrypt/Verify/0
Real Time	6591681.23
Time Unit	ns
Iterations	105

7.05 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7045487.86
Time Unit	ns
Iterations	99

Batch(4) - RSA2048

18.40 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18395321.24
Time Unit	ns
Iterations	38

14.08 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14078848.62
Time Unit	ns
Iterations	50

14.59 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14588752.60
Time Unit	ns
Iterations	48

Batch(16) - RSA2048

50.86 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	50855658.00
Time Unit	ns
Iterations	10

45.18 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	45176887.00
Time Unit	ns
Iterations	15

44.84 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44838903.50
Time Unit	ns
Iterations	16

Basic - P-256

24.07 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	24074991.52
Time Unit	ns
Iterations	29

13.32 ms

Name	PVE/vencrypt/Verify/1
Real Time	13318370.67
Time Unit	ns
Iterations	52

13.38 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13380026.10
Time Unit	ns
Iterations	52

Batch(4) - P-256

32.01 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	32011845.86
Time Unit	ns
Iterations	22

20.87 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20873566.94
Time Unit	ns
Iterations	34

21.02 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	21015545.39
Time Unit	ns
Iterations	33

Batch(16) - P-256

62.65 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	62650057.73
Time Unit	ns
Iterations	11

51.01 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	51010806.64
Time Unit	ns
Iterations	14

51.44 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	51436541.93
Time Unit	ns
Iterations	14

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

569.59 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	569586367.00
Time Unit	ns
Iterations	1

310.54 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	310538207.50
Time Unit	ns
Iterations	2

3.80 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	3801691.80
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.18 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6176353.77
Time Unit	ns
Iterations	115

12.12 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12119914.29
Time Unit	ns
Iterations	58

24.18 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24180584.10
Time Unit	ns
Iterations	29

48.27 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	48267186.73
Time Unit	ns
Iterations	15

96.60 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	96597358.86
Time Unit	ns
Iterations	7

192.70 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	192700766.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.04 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26035465.44
Time Unit	ns
Iterations	27

51.97 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	51966808.00
Time Unit	ns
Iterations	13

103.86 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	103857971.43
Time Unit	ns
Iterations	7

207.70 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	207700702.67
Time Unit	ns
Iterations	3

414.83 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	414834706.50
Time Unit	ns
Iterations	2

829.92 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	829923204.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.45 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3447928.25
Time Unit	ns
Iterations	203

6.88 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6883446.89
Time Unit	ns
Iterations	102

13.78 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13776319.43
Time Unit	ns
Iterations	51

27.59 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27592542.12
Time Unit	ns
Iterations	25

55.24 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55239736.08
Time Unit	ns
Iterations	13

110.52 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	110521658.17
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.13 ms

Name	Full-OT-2P/1/1/2048
Real Time	24133616.76
Time Unit	ns
Iterations	29

message 1

round 2

107.68 ms

Name	Full-OT-2P/2/2/2048
Real Time	107679385.00
Time Unit	ns
Iterations	6

message 2

round 3

18.16 ms

Name	Full-OT-2P/3/1/2048
Real Time	18163586.00
Time Unit	ns
Iterations	39

message 3

Output Round

0.84 ms

Name	Full-OT-2P/4/2/2048
Real Time	836927.65
Time Unit	ns
Iterations	839

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.11 ms

Name	Full-OT-2P/1/1/4096
Real Time	24108441.24
Time Unit	ns
Iterations	29

message 1

round 2

109.02 ms

Name	Full-OT-2P/2/2/4096
Real Time	109022415.17
Time Unit	ns
Iterations	6

message 2

round 3

21.28 ms

Name	Full-OT-2P/3/1/4096
Real Time	21276309.33
Time Unit	ns
Iterations	33

message 3

Output Round

1.67 ms

Name	Full-OT-2P/4/2/4096
Real Time	1671528.59
Time Unit	ns
Iterations	419

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.18 ms

Name	Full-OT-2P/1/1/65536
Real Time	24177481.41
Time Unit	ns
Iterations	29

message 1

round 2

141.02 ms

Name	Full-OT-2P/2/2/65536
Real Time	141022833.00
Time Unit	ns
Iterations	5

message 2

round 3

113.40 ms

Name	Full-OT-2P/3/1/65536
Real Time	113398882.83
Time Unit	ns
Iterations	6

message 3

Output Round

27.04 ms

Name	Full-OT-2P/4/2/65536
Real Time	27038256.85
Time Unit	ns
Iterations	26

Agree Random - 256 bits

msg

Total Time

round 1

70.40 μs

Name	AgreeRandom-2P/1/1/256
Real Time	70404.94
Time Unit	ns
Iterations	10000

39.83 μs

Name	AgreeRandom-2P/1/2/256
Real Time	39833.17
Time Unit	ns
Iterations	10000

message 1

round 2

0.48 μs

Name	AgreeRandom-2P/2/1/256
Real Time	479.67
Time Unit	ns
Iterations	10000

15.35 μs

Name	AgreeRandom-2P/2/2/256
Real Time	15348.32
Time Unit	ns
Iterations	10000

message 2

round 3

0.49 μs

Name	AgreeRandom-2P/3/1/256
Real Time	491.08
Time Unit	ns
Iterations	10000

0.47 μs

Name	AgreeRandom-2P/3/2/256
Real Time	472.97
Time Unit	ns
Iterations	10000

message 3

Output Round

56.15 μs

Name	AgreeRandom-2P/4/1/256
Real Time	56152.64
Time Unit	ns
Iterations	10000

63.56 μs

Name	AgreeRandom-2P/4/2/256
Real Time	63555.87
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

70.41 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	70407.36
Time Unit	ns
Iterations	10000

40.34 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	40340.59
Time Unit	ns
Iterations	10000

message 1

round 2

0.53 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	528.36
Time Unit	ns
Iterations	10000

15.39 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	15386.09
Time Unit	ns
Iterations	10000

message 2

round 3

0.64 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	637.08
Time Unit	ns
Iterations	10000

0.57 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	574.12
Time Unit	ns
Iterations	10000

message 3

Output Round

51.27 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	51272.25
Time Unit	ns
Iterations	10000

64.50 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	64496.90
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

69.86 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	69855.01
Time Unit	ns
Iterations	10000

40.77 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	40768.22
Time Unit	ns
Iterations	10000

message 1

round 2

0.50 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	502.70
Time Unit	ns
Iterations	10000

15.29 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	15290.53
Time Unit	ns
Iterations	10000

message 2

round 3

0.88 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	881.56
Time Unit	ns
Iterations	10000

0.77 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	771.64
Time Unit	ns
Iterations	10000

message 3

Output Round

55.93 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	55927.01
Time Unit	ns
Iterations	10000

68.93 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	68928.01
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

60.56 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	60561.27
Time Unit	ns
Iterations	10000

37.54 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	37542.20
Time Unit	ns
Iterations	10000

message 1

round 2

0.52 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	520.09
Time Unit	ns
Iterations	10000

14.66 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	14656.45
Time Unit	ns
Iterations	10000

message 2

Output Round

56.45 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	56448.75
Time Unit	ns
Iterations	10000

62.64 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	62638.96
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

59.63 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	59629.02
Time Unit	ns
Iterations	10000

39.96 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	39961.99
Time Unit	ns
Iterations	10000

message 1

round 2

0.41 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	409.43
Time Unit	ns
Iterations	10000

14.73 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	14725.87
Time Unit	ns
Iterations	10000

message 2

Output Round

65.09 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	65089.25
Time Unit	ns
Iterations	10000

65.56 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	65561.17
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

61.24 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	61241.77
Time Unit	ns
Iterations	10000

37.73 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	37727.00
Time Unit	ns
Iterations	10000

message 1

round 2

0.40 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	396.17
Time Unit	ns
Iterations	10000

15.49 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	15494.58
Time Unit	ns
Iterations	10000

message 2

Output Round

60.28 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	60281.19
Time Unit	ns
Iterations	10000

67.13 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	67125.62
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

62.13 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	62132.95
Time Unit	ns
Iterations	10000

37.62 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	37621.78
Time Unit	ns
Iterations	10000

message 1

round 2

0.55 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	551.22
Time Unit	ns
Iterations	10000

17.25 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	17246.39
Time Unit	ns
Iterations	10000

message 2

Output Round

69.95 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	69953.74
Time Unit	ns
Iterations	10000

70.52 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	70521.01
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

64.68 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	64682.84
Time Unit	ns
Iterations	10000

39.77 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	39771.63
Time Unit	ns
Iterations	10000

message 1

round 2

0.46 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	463.62
Time Unit	ns
Iterations	10000

15.16 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	15157.20
Time Unit	ns
Iterations	10000

message 2

Output Round

67.10 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	67103.42
Time Unit	ns
Iterations	10000

66.85 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	66849.38
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	104392.90
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	73073.80
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	399.40
Time Unit	ns
Iterations	10

1.22 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1224282.50
Time Unit	ns
Iterations	10

message 2

round 3

8.83 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	8832327.70
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2636.20
Time Unit	ns
Iterations	10

message 3

Output Round

0.09 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	91006.20
Time Unit	ns
Iterations	10

7.61 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	7608834.50
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.06 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	58761.70
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	41904.11
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	532.68
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	13391.40
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	507.63
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	742.44
Time Unit	ns
Iterations	200

message 3

Output Round

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	52302.64
Time Unit	ns
Iterations	200

0.07 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	65023.82
Time Unit	ns
Iterations	200

Sign - #Msg=1

msg

Total Time

round 1

0.18 ms

Name	Schnorr-2PC-Sign-2P/1/1/1
Real Time	184773.32
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	37755.06
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	528.70
Time Unit	ns
Iterations	50

1.58 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1578434.64
Time Unit	ns
Iterations	50

message 2

round 3

11.59 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	11591810.42
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2243.68
Time Unit	ns
Iterations	50

message 3

round 4

0.03 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	29824.74
Time Unit	ns
Iterations	50

10.19 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	10193606.08
Time Unit	ns
Iterations	50

message 4

Output Round

0.43 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	425133.52
Time Unit	ns
Iterations	50

0.12 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	120820.32
Time Unit	ns
Iterations	50

Sign - #Msg=4

msg

Total Time

round 1

0.14 ms

Name	Schnorr-2PC-Sign-2P/1/1/4
Real Time	140954.90
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	38162.42
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	739.02
Time Unit	ns
Iterations	50

2.08 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	2081811.92
Time Unit	ns
Iterations	50

message 2

round 3

20.66 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	20663439.98
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	3149.62
Time Unit	ns
Iterations	50

message 3

round 4

0.07 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	73347.48
Time Unit	ns
Iterations	50

19.66 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	19656233.04
Time Unit	ns
Iterations	50

message 4

Output Round

0.79 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	787084.74
Time Unit	ns
Iterations	50

0.14 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	135655.20
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.48 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	480446.12
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	40121.20
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	646.86
Time Unit	ns
Iterations	50

4.78 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4782945.70
Time Unit	ns
Iterations	50

message 2

round 3

56.76 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	56761088.52
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2755.04
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	190441.92
Time Unit	ns
Iterations	50

54.80 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	54801274.56
Time Unit	ns
Iterations	50

message 4

Output Round

2.21 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2206771.98
Time Unit	ns
Iterations	50

0.13 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	127734.26
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

198.14 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	198138638.10
Time Unit	ns
Iterations	20

0.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	71723.75
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2202.10
Time Unit	ns
Iterations	20

1.35 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1345158.75
Time Unit	ns
Iterations	20

message 2

round 3

16.51 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	16506398.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2062.80
Time Unit	ns
Iterations	20

message 3

Output Round

0.16 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	164649.95
Time Unit	ns
Iterations	20

72.98 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	72983731.55
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

90.72 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	90718439.35
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	40145.80
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1115.65
Time Unit	ns
Iterations	20

1.43 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	1427001.90
Time Unit	ns
Iterations	20

message 2

round 3

9.70 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	9703444.90
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1256.50
Time Unit	ns
Iterations	20

message 3

Output Round

0.12 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	122402.40
Time Unit	ns
Iterations	20

79.37 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	79372564.75
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.59 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1587148.10
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	39382.10
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	557.35
Time Unit	ns
Iterations	20

1.57 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1571979.00
Time Unit	ns
Iterations	20

message 2

round 3

2.42 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	2416604.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	3087.25
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	2712.35
Time Unit	ns
Iterations	20

39.93 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	39930250.45
Time Unit	ns
Iterations	20

message 4

Output Round

23.84 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23841035.95
Time Unit	ns
Iterations	20

0.19 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	185252.85
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.02 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	2018971.50
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	47935.20
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	646.60
Time Unit	ns
Iterations	20

2.11 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	2111256.15
Time Unit	ns
Iterations	20

message 2

round 3

2.98 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2976239.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2806.90
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	3286.55
Time Unit	ns
Iterations	20

153.70 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	153695939.35
Time Unit	ns
Iterations	20

message 4

Output Round

94.03 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	94029227.65
Time Unit	ns
Iterations	20

0.15 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	151882.55
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

5.12 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	5120741.90
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	47524.70
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	934.35
Time Unit	ns
Iterations	20

4.73 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4725444.05
Time Unit	ns
Iterations	20

message 2

round 3

6.54 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6540354.10
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3079.95
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	5293.85
Time Unit	ns
Iterations	20

603.01 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	603009686.50
Time Unit	ns
Iterations	20

message 4

Output Round

367.15 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	367147538.65
Time Unit	ns
Iterations	20

0.16 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	156583.30
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.79 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1794791.00
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	44558.75
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/1/1
Real Time	796.20
Time Unit	ns
Iterations	20

1.69 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1686947.50
Time Unit	ns
Iterations	20

message 2

round 3

2.45 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	2446095.35
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2448.20
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	2288.75
Time Unit	ns
Iterations	20

13.33 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13331005.40
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

2.18 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2181957.10
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	45562.45
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	739.95
Time Unit	ns
Iterations	20

2.08 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	2080512.55
Time Unit	ns
Iterations	20

message 2

round 3

3.02 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	3022757.25
Time Unit	ns
Iterations	20

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	5961.80
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	3377.65
Time Unit	ns
Iterations	20

46.26 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	46263070.70
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

4.70 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4700548.90
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	42878.00
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	825.95
Time Unit	ns
Iterations	20

5.13 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	5128841.00
Time Unit	ns
Iterations	20

message 2

round 3

5.92 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	5921501.95
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	3025.10
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/16
Real Time	4822.90
Time Unit	ns
Iterations	20

171.73 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	171734900.75
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	247421.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	219240.00
Time Unit	ns
Iterations	1

0.23 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	226560.00
Time Unit	ns
Iterations	1

0.32 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	324830.00
Time Unit	ns
Iterations	1

message 1

round 2

1.79 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1793016.00
Time Unit	ns
Iterations	1

1.68 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1683296.00
Time Unit	ns
Iterations	1

1.93 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1928552.00
Time Unit	ns
Iterations	1

1.88 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1882808.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.68 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20679501.00
Time Unit	ns
Iterations	1

20.62 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20615299.00
Time Unit	ns
Iterations	1

24.21 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	24208956.00
Time Unit	ns
Iterations	1

21.64 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	21638463.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

5.13 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	5130102.80
Time Unit	ns
Iterations	10

4.69 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4688336.40
Time Unit	ns
Iterations	10

5.12 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	5124855.40
Time Unit	ns
Iterations	10

4.90 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4897871.40
Time Unit	ns
Iterations	10

message 1

round 2

2.81 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2805751.90
Time Unit	ns
Iterations	10

2.65 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2652227.10
Time Unit	ns
Iterations	10

2.73 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2728460.70
Time Unit	ns
Iterations	10

2.70 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2700409.40
Time Unit	ns
Iterations	10

message 2

Output Round

73.21 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	73205772.00
Time Unit	ns
Iterations	10

72.53 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	72529953.10
Time Unit	ns
Iterations	10

70.88 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	70882201.10
Time Unit	ns
Iterations	10

70.44 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	70438142.30
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	246201.70
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	247439.40
Time Unit	ns
Iterations	10

0.24 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	243632.70
Time Unit	ns
Iterations	10

0.24 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	244128.20
Time Unit	ns
Iterations	10

message 1

round 2

2.93 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2934789.80
Time Unit	ns
Iterations	10

2.75 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2752702.20
Time Unit	ns
Iterations	10

2.64 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2640309.90
Time Unit	ns
Iterations	10

2.73 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2727905.70
Time Unit	ns
Iterations	10

message 2

round 3

48.05 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	48048973.50
Time Unit	ns
Iterations	10

47.54 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	47543258.30
Time Unit	ns
Iterations	10

46.64 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	46636852.00
Time Unit	ns
Iterations	10

45.51 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	45509352.30
Time Unit	ns
Iterations	10

message 3

Output Round

0.75 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	747340.90
Time Unit	ns
Iterations	10

0.17 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	174964.80
Time Unit	ns
Iterations	10

0.19 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	190238.90
Time Unit	ns
Iterations	10

0.17 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	171046.00
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.43 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	431740.50
Time Unit	ns
Iterations	10

0.15 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	153534.20
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	173398.90
Time Unit	ns
Iterations	10

0.15 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	152118.10
Time Unit	ns
Iterations	10

message 1

round 2

1.55 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1545742.90
Time Unit	ns
Iterations	10

1.51 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1513670.60
Time Unit	ns
Iterations	10

1.50 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1495695.20
Time Unit	ns
Iterations	10

1.51 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1514854.70
Time Unit	ns
Iterations	10

message 2

Output Round

3.74 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3744423.90
Time Unit	ns
Iterations	10

3.42 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3421044.40
Time Unit	ns
Iterations	10

3.55 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3554630.50
Time Unit	ns
Iterations	10

3.99 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3993043.60
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.66 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4658871.80
Time Unit	ns
Iterations	10

4.49 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4492137.90
Time Unit	ns
Iterations	10

4.91 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4912970.60
Time Unit	ns
Iterations	10

4.58 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4580711.20
Time Unit	ns
Iterations	10

message 1

round 2

1.67 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1668694.20
Time Unit	ns
Iterations	10

1.65 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1650617.70
Time Unit	ns
Iterations	10

1.69 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1693455.70
Time Unit	ns
Iterations	10

1.70 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1701265.60
Time Unit	ns
Iterations	10

message 2

Output Round

12.25 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	12245171.30
Time Unit	ns
Iterations	10

11.95 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11949687.60
Time Unit	ns
Iterations	10

11.99 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11989122.90
Time Unit	ns
Iterations	10

11.79 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11794323.80
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	215090.90
Time Unit	ns
Iterations	10

0.19 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	189907.10
Time Unit	ns
Iterations	10

0.20 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	203192.20
Time Unit	ns
Iterations	10

0.20 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	203632.40
Time Unit	ns
Iterations	10

message 1

round 2

70.10 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	70096756.20
Time Unit	ns
Iterations	10

46.97 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46967614.30
Time Unit	ns
Iterations	10

24.03 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24032371.70
Time Unit	ns
Iterations	10

1.48 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1478113.40
Time Unit	ns
Iterations	10

message 2

round 3

3.24 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3236143.20
Time Unit	ns
Iterations	10

98.22 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	98223599.00
Time Unit	ns
Iterations	10

192.06 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	192055935.30
Time Unit	ns
Iterations	10

286.34 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	286336399.90
Time Unit	ns
Iterations	10

message 3

round 4

74.85 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	74851100.40
Time Unit	ns
Iterations	10

51.85 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	51852448.40
Time Unit	ns
Iterations	10

30.06 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	30060200.60
Time Unit	ns
Iterations	10

7.27 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	7270757.70
Time Unit	ns
Iterations	10

message 4

round 5

10.35 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	10350755.60
Time Unit	ns
Iterations	10

13.26 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	13263698.30
Time Unit	ns
Iterations	10

16.16 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	16157953.30
Time Unit	ns
Iterations	10

17.90 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17903304.40
Time Unit	ns
Iterations	10

message 5

round 6

12.69 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	12690633.00
Time Unit	ns
Iterations	10

10.97 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10966282.40
Time Unit	ns
Iterations	10

9.75 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9754847.20
Time Unit	ns
Iterations	10

8.21 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	8206868.60
Time Unit	ns
Iterations	10

message 6

round 7

22.42 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	22421143.80
Time Unit	ns
Iterations	10

23.39 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	23386948.70
Time Unit	ns
Iterations	10

22.30 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	22296684.40
Time Unit	ns
Iterations	10

23.00 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	22996878.10
Time Unit	ns
Iterations	10

message 7

round 8

9.88 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9883805.20
Time Unit	ns
Iterations	10

10.11 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	10111899.90
Time Unit	ns
Iterations	10

9.94 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9937481.10
Time Unit	ns
Iterations	10

9.74 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9739246.00
Time Unit	ns
Iterations	10

message 8

round 9

2.85 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2849845.40
Time Unit	ns
Iterations	10

2.91 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2912532.10
Time Unit	ns
Iterations	10

2.77 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2774161.80
Time Unit	ns
Iterations	10

2.78 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2781792.60
Time Unit	ns
Iterations	10

message 9

Output Round

3.07 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	3068122.20
Time Unit	ns
Iterations	10

1.51 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1512458.20
Time Unit	ns
Iterations	10

1.64 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1638350.10
Time Unit	ns
Iterations	10

1.53 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1527260.80
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