Benchmark Context

Date: 2026-07-12T09:29:05+00:00
Commit: 3a2f7c22b8c54d909accc5278ef8a4519088f160
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3238

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.09 μs

Name	Core/BN/ModAdd/256
Real Time	89.12
Time Unit	ns
Iterations	7850297

0.12 μs

Name	Core/BN/ModAdd/512
Real Time	115.97
Time Unit	ns
Iterations	6032121

0.16 μs

Name	Core/BN/ModAdd/1024
Real Time	164.84
Time Unit	ns
Iterations	4248185

0.28 μs

Name	Core/BN/ModAdd/2048
Real Time	279.18
Time Unit	ns
Iterations	2509474

0.50 μs

Name	Core/BN/ModAdd/4096
Real Time	503.15
Time Unit	ns
Iterations	1388948

Mod Sub

0.08 μs

Name	Core/BN/ModSubtract/256
Real Time	84.91
Time Unit	ns
Iterations	8255141

0.11 μs

Name	Core/BN/ModSubtract/512
Real Time	111.36
Time Unit	ns
Iterations	6321794

0.17 μs

Name	Core/BN/ModSubtract/1024
Real Time	172.87
Time Unit	ns
Iterations	4073586

0.30 μs

Name	Core/BN/ModSubtract/2048
Real Time	304.30
Time Unit	ns
Iterations	2242490

0.58 μs

Name	Core/BN/ModSubtract/4096
Real Time	576.28
Time Unit	ns
Iterations	1220382

Mod Mul

0.18 μs

Name	Core/BN/ModMultiply/256
Real Time	176.57
Time Unit	ns
Iterations	3986485

0.33 μs

Name	Core/BN/ModMultiply/512
Real Time	331.26
Time Unit	ns
Iterations	2127387

0.92 μs

Name	Core/BN/ModMultiply/1024
Real Time	916.58
Time Unit	ns
Iterations	764633

2.89 μs

Name	Core/BN/ModMultiply/2048
Real Time	2890.70
Time Unit	ns
Iterations	242201

11.26 μs

Name	Core/BN/ModMultiply/4096
Real Time	11260.07
Time Unit	ns
Iterations	62143

Mod Exponentiate

17.55 μs

Name	Core/BN/ModExponentiate/256
Real Time	17553.92
Time Unit	ns
Iterations	39500

42.17 μs

Name	Core/BN/ModExponentiate/512
Real Time	42170.24
Time Unit	ns
Iterations	16605

312.09 μs

Name	Core/BN/ModExponentiate/1024
Real Time	312092.00
Time Unit	ns
Iterations	2248

2212.84 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2212836.89
Time Unit	ns
Iterations	316

16569.67 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16569670.21
Time Unit	ns
Iterations	42

Mod Invert

17.28 μs

Name	Core/BN/ModInvert/256
Real Time	17281.70
Time Unit	ns
Iterations	40488

37.13 μs

Name	Core/BN/ModInvert/512
Real Time	37134.64
Time Unit	ns
Iterations	18875

87.43 μs

Name	Core/BN/ModInvert/1024
Real Time	87433.28
Time Unit	ns
Iterations	8112

225.52 μs

Name	Core/BN/ModInvert/2048
Real Time	225523.12
Time Unit	ns
Iterations	3086

689.68 μs

Name	Core/BN/ModInvert/4096
Real Time	689682.20
Time Unit	ns
Iterations	1005

GCD

23.97 μs

Name	Core/BN/GCD/256
Real Time	23968.50
Time Unit	ns
Iterations	30331

50.70 μs

Name	Core/BN/GCD/512
Real Time	50701.60
Time Unit	ns
Iterations	13766

126.20 μs

Name	Core/BN/GCD/1024
Real Time	126199.13
Time Unit	ns
Iterations	5356

352.60 μs

Name	Core/BN/GCD/2048
Real Time	352604.19
Time Unit	ns
Iterations	1949

1137.98 μs

Name	Core/BN/GCD/4096
Real Time	1137983.16
Time Unit	ns
Iterations	606

GCD with RSA Modulus

23.31 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23310.31
Time Unit	ns
Iterations	29012

52.29 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	52290.75
Time Unit	ns
Iterations	13348

130.21 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	130209.65
Time Unit	ns
Iterations	5392

358.60 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	358595.46
Time Unit	ns
Iterations	1953

1158.66 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1158658.67
Time Unit	ns
Iterations	616

Batch(16) GCD with RSA Modulus

25.84 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25841.45
Time Unit	ns
Iterations	26812

58.12 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	58121.05
Time Unit	ns
Iterations	12444

147.27 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	147274.26
Time Unit	ns
Iterations	4834

402.58 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	402579.03
Time Unit	ns
Iterations	1739

1309.62 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1309621.65
Time Unit	ns
Iterations	524

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	356.61
Time Unit	ns
Iterations	1961331

0.37 μs

Name	Core/EC/Add/Ed25519
Real Time	365.69
Time Unit	ns
Iterations	1910814

Add (Constant Time)

2.45 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	2449.48
Time Unit	ns
Iterations	284882

0.37 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	367.13
Time Unit	ns
Iterations	1899002

Multiply

41.63 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41632.32
Time Unit	ns
Iterations	16813

65.41 μs

Name	Core/EC/Multiply/Ed25519
Real Time	65405.66
Time Unit	ns
Iterations	10704

Multiply (Variable Time)

31.88 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	31884.23
Time Unit	ns
Iterations	22090

61.09 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	61091.24
Time Unit	ns
Iterations	11507

Multiply Generator

20.03 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	20031.09
Time Unit	ns
Iterations	34963

14.14 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14138.43
Time Unit	ns
Iterations	49436

Multipliply Generator (Variable Time)

20.03 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	20033.87
Time Unit	ns
Iterations	34941

7.21 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7213.58
Time Unit	ns
Iterations	97030

MulAdd

64.22 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	64224.72
Time Unit	ns
Iterations	10911

80.34 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	80344.97
Time Unit	ns
Iterations	8744

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.34 μs

Name	Core/Hash/SHA256/16
Real Time	340.74
Time Unit	ns
Iterations	2059242

0.38 μs

Name	Core/Hash/SHA256/64
Real Time	375.53
Time Unit	ns
Iterations	1867611

0.50 μs

Name	Core/Hash/SHA256/256
Real Time	495.29
Time Unit	ns
Iterations	1410562

0.98 μs

Name	Core/Hash/SHA256/1024
Real Time	978.63
Time Unit	ns
Iterations	715277

2.91 μs

Name	Core/Hash/SHA256/4096
Real Time	2906.37
Time Unit	ns
Iterations	240862

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

1.11 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	1112.97
Time Unit	ns
Iterations	630893

1.15 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	1145.13
Time Unit	ns
Iterations	612513

1.27 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	1265.74
Time Unit	ns
Iterations	555393

1.75 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1748.74
Time Unit	ns
Iterations	395290

3.68 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	3675.46
Time Unit	ns
Iterations	190371

AES-GCM-128

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.92 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	924.31
Time Unit	ns
Iterations	754829

1.64 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1635.24
Time Unit	ns
Iterations	428743

AES-GCM-256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.97 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	967.33
Time Unit	ns
Iterations	723226

1.73 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1734.70
Time Unit	ns
Iterations	404833

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

85.51 μs

Name	BP/ElGamal/Commit/3
Real Time	85505.84
Time Unit	ns
Iterations	8201

96.21 μs

Name	BP/ElGamal/Commit/4
Real Time	96211.33
Time Unit	ns
Iterations	7297

Rerand

66.96 μs

Name	BP/ElGamal/Rerand/3
Real Time	66957.00
Time Unit	ns
Iterations	10467

80.81 μs

Name	BP/ElGamal/Rerand/4
Real Time	80806.30
Time Unit	ns
Iterations	8668

Add

5.04 μs

Name	BP/ElGamal/Add/3
Real Time	5042.95
Time Unit	ns
Iterations	138893

0.79 μs

Name	BP/ElGamal/Add/4
Real Time	792.48
Time Unit	ns
Iterations	883793

Add Scalar

20.66 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20655.80
Time Unit	ns
Iterations	33864

7.83 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7833.59
Time Unit	ns
Iterations	89503

Mul Scalar

83.61 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83609.95
Time Unit	ns
Iterations	8399

131.13 μs

Name	BP/ElGamal/MulScalar/4
Real Time	131128.39
Time Unit	ns
Iterations	5337

Paillier

Operation \ Bit length

2048 bits

Generate Key

44.08 ms

Name	BP/Paillier/Gen
Real Time	44078510.47
Time Unit	ns
Iterations	15

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4520493.08
Time Unit	ns
Iterations	155

Encrypt

8.59 ms

Name	BP/Paillier/Pub-Enc
Real Time	8585766.52
Time Unit	ns
Iterations	81

Decrypt

4.75 ms

Name	BP/Paillier/Dec
Real Time	4748777.16
Time Unit	ns
Iterations	147

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11372.25
Time Unit	ns
Iterations	61477

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	13602.54
Time Unit	ns
Iterations	51472

Mul-Scalar

8.33 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8332496.75
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.55 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189551.61
Time Unit	ns
Iterations	3683

189.85 μs

Name	tdh2-encrypt-1P/30/256
Real Time	189845.03
Time Unit	ns
Iterations	3691

269.35 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	269346.05
Time Unit	ns
Iterations	2601

268.77 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	268772.95
Time Unit	ns
Iterations	2605

Verify

222.30 μs

Name	tdh2-verify-1P/4/256
Real Time	222300.62
Time Unit	ns
Iterations	3477

201.54 μs

Name	tdh2-verify-1P/30/256
Real Time	201541.93
Time Unit	ns
Iterations	3131

243.12 μs

Name	tdh2-verify-1P/4/65536
Real Time	243118.56
Time Unit	ns
Iterations	2653

263.69 μs

Name	tdh2-verify-1P/30/65536
Real Time	263687.00
Time Unit	ns
Iterations	2653

Local Decrypt

323.52 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	323518.76
Time Unit	ns
Iterations	2165

323.79 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	323787.44
Time Unit	ns
Iterations	2163

386.64 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	386642.88
Time Unit	ns
Iterations	1807

365.61 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	365614.22
Time Unit	ns
Iterations	1639

Combine

901.23 μs

Name	tdh2-combine-1P/4/256
Real Time	901232.12
Time Unit	ns
Iterations	728

5402.30 μs

Name	tdh2-combine-1P/30/256
Real Time	5402299.06
Time Unit	ns
Iterations	130

1022.28 μs

Name	tdh2-combine-1P/4/65536
Real Time	1022282.83
Time Unit	ns
Iterations	714

5487.87 μs

Name	tdh2-combine-1P/30/65536
Real Time	5487871.30
Time Unit	ns
Iterations	128

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.33 μs

Name	Crypto/DRBG/String/1024
Real Time	1329.20
Time Unit	ns
Iterations	526662

1.39 μs

Name	Crypto/DRBG/String/2048
Real Time	1388.77
Time Unit	ns
Iterations	503981

1.49 μs

Name	Crypto/DRBG/String/4096
Real Time	1494.07
Time Unit	ns
Iterations	467202

1.71 μs

Name	Crypto/DRBG/String/8192
Real Time	1712.56
Time Unit	ns
Iterations	409789

2.20 μs

Name	Crypto/DRBG/String/16384
Real Time	2195.15
Time Unit	ns
Iterations	318896

3.13 μs

Name	Crypto/DRBG/String/32768
Real Time	3133.85
Time Unit	ns
Iterations	223971

4.95 μs

Name	Crypto/DRBG/String/65536
Real Time	4948.10
Time Unit	ns
Iterations	141589

8.60 μs

Name	Crypto/DRBG/String/131072
Real Time	8597.11
Time Unit	ns
Iterations	81495

15.86 μs

Name	Crypto/DRBG/String/262144
Real Time	15855.26
Time Unit	ns
Iterations	44191

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.57 μs

Name	Crypto/DRBG/Number/256
Real Time	1566.29
Time Unit	ns
Iterations	447315

1.68 μs

Name	Crypto/DRBG/Number/512
Real Time	1683.52
Time Unit	ns
Iterations	410387

1.87 μs

Name	Crypto/DRBG/Number/1024
Real Time	1872.40
Time Unit	ns
Iterations	373971

2.25 μs

Name	Crypto/DRBG/Number/2048
Real Time	2246.45
Time Unit	ns
Iterations	311664

3.03 μs

Name	Crypto/DRBG/Number/4096
Real Time	3029.15
Time Unit	ns
Iterations	231223

Curve

secp256k1

Ed25519

DRBG-Curve

21.98 μs

Name	Crypto/DRBG/Curve/3
Real Time	21984.01
Time Unit	ns
Iterations	31873

16.16 μs

Name	Crypto/DRBG/Curve/4
Real Time	16156.74
Time Unit	ns
Iterations	43273

HMAC

#big number

Commit

2.37 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2368.44
Time Unit	ns
Iterations	296800

2.61 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2612.78
Time Unit	ns
Iterations	268155

2.92 μs

Name	Crypto/Commitment/ComBn/6
Real Time	2917.68
Time Unit	ns
Iterations	240071

3.15 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3151.73
Time Unit	ns
Iterations	222400

3.40 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3404.21
Time Unit	ns
Iterations	205879

3.64 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3639.70
Time Unit	ns
Iterations	192555

3.90 μs

Name	Crypto/Commitment/ComBn/14
Real Time	3899.47
Time Unit	ns
Iterations	179436

4.15 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4151.52
Time Unit	ns
Iterations	168444

4.44 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4435.50
Time Unit	ns
Iterations	158368

4.66 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4655.62
Time Unit	ns
Iterations	149773

Pedersen

Curve

secp256k1

Ed25519

Commit

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

ElGamal

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

85.51 μs

Name	BP/ElGamal/Commit/3
Real Time	85505.84
Time Unit	ns
Iterations	8201

96.21 μs

Name	BP/ElGamal/Commit/4
Real Time	96211.33
Time Unit	ns
Iterations	7297

Rerand

66.96 μs

Name	BP/ElGamal/Rerand/3
Real Time	66957.00
Time Unit	ns
Iterations	10467

80.81 μs

Name	BP/ElGamal/Rerand/4
Real Time	80806.30
Time Unit	ns
Iterations	8668

Add

5.04 μs

Name	BP/ElGamal/Add/3
Real Time	5042.95
Time Unit	ns
Iterations	138893

0.79 μs

Name	BP/ElGamal/Add/4
Real Time	792.48
Time Unit	ns
Iterations	883793

Add Scalar

20.66 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20655.80
Time Unit	ns
Iterations	33864

7.83 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7833.59
Time Unit	ns
Iterations	89503

Mul Scalar

83.61 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83609.95
Time Unit	ns
Iterations	8399

131.13 μs

Name	BP/ElGamal/MulScalar/4
Real Time	131128.39
Time Unit	ns
Iterations	5337

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

0.61 μs

Name	BP/Share/Horner/3
Real Time	610.62
Time Unit	ns
Iterations	1146268

0.88 μs

Name	BP/Share/Horner/4
Real Time	884.06
Time Unit	ns
Iterations	788205

1.44 μs

Name	BP/Share/Horner/6
Real Time	1438.21
Time Unit	ns
Iterations	486541

1.99 μs

Name	BP/Share/Horner/8
Real Time	1992.96
Time Unit	ns
Iterations	352235

2.55 μs

Name	BP/Share/Horner/10
Real Time	2546.11
Time Unit	ns
Iterations	275166

4.19 μs

Name	BP/Share/Horner/16
Real Time	4192.03
Time Unit	ns
Iterations	166332

8.58 μs

Name	BP/Share/Horner/32
Real Time	8577.49
Time Unit	ns
Iterations	81670

secp256k1

84.12 μs

Name	BP/Share/ECHorner/3/3
Real Time	84118.54
Time Unit	ns
Iterations	8317

126.15 μs

Name	BP/Share/ECHorner/3/4
Real Time	126146.80
Time Unit	ns
Iterations	5545

210.88 μs

Name	BP/Share/ECHorner/3/6
Real Time	210883.97
Time Unit	ns
Iterations	3331

294.24 μs

Name	BP/Share/ECHorner/3/8
Real Time	294236.17
Time Unit	ns
Iterations	2380

378.41 μs

Name	BP/Share/ECHorner/3/10
Real Time	378414.33
Time Unit	ns
Iterations	1851

632.17 μs

Name	BP/Share/ECHorner/3/16
Real Time	632172.76
Time Unit	ns
Iterations	1110

1302.25 μs

Name	BP/Share/ECHorner/3/32
Real Time	1302247.03
Time Unit	ns
Iterations	538

Ed25519

131.78 μs

Name	BP/Share/ECHorner/4/3
Real Time	131780.18
Time Unit	ns
Iterations	5306

211.52 μs

Name	BP/Share/ECHorner/4/4
Real Time	211517.44
Time Unit	ns
Iterations	3543

329.31 μs

Name	BP/Share/ECHorner/4/6
Real Time	329306.51
Time Unit	ns
Iterations	2127

461.64 μs

Name	BP/Share/ECHorner/4/8
Real Time	461640.61
Time Unit	ns
Iterations	1519

592.36 μs

Name	BP/Share/ECHorner/4/10
Real Time	592362.88
Time Unit	ns
Iterations	1181

1056.02 μs

Name	BP/Share/ECHorner/4/16
Real Time	1056023.58
Time Unit	ns
Iterations	708

2043.46 μs

Name	BP/Share/ECHorner/4/32
Real Time	2043462.59
Time Unit	ns
Iterations	343

Lagrange interpolation

m\n

256 bit field

38.62 μs

Name	BP/Share/Lagrange/3
Real Time	38624.37
Time Unit	ns
Iterations	18096

56.34 μs

Name	BP/Share/Lagrange/4
Real Time	56343.95
Time Unit	ns
Iterations	12432

96.71 μs

Name	BP/Share/Lagrange/6
Real Time	96712.72
Time Unit	ns
Iterations	7242

147.28 μs

Name	BP/Share/Lagrange/8
Real Time	147277.46
Time Unit	ns
Iterations	4727

209.08 μs

Name	BP/Share/Lagrange/10
Real Time	209075.75
Time Unit	ns
Iterations	3360

436.99 μs

Name	BP/Share/Lagrange/16
Real Time	436986.07
Time Unit	ns
Iterations	1598

1361.78 μs

Name	BP/Share/Lagrange/32
Real Time	1361775.97
Time Unit	ns
Iterations	515

secp256k1

134.26 μs

Name	BP/Share/ECLagrange/3/3
Real Time	134260.11
Time Unit	ns
Iterations	5158

185.04 μs

Name	BP/Share/ECLagrange/3/4
Real Time	185042.78
Time Unit	ns
Iterations	3808

291.85 μs

Name	BP/Share/ECLagrange/3/6
Real Time	291852.58
Time Unit	ns
Iterations	2398

413.94 μs

Name	BP/Share/ECLagrange/3/8
Real Time	413935.58
Time Unit	ns
Iterations	1701

544.98 μs

Name	BP/Share/ECLagrange/3/10
Real Time	544980.08
Time Unit	ns
Iterations	1294

982.30 μs

Name	BP/Share/ECLagrange/3/16
Real Time	982301.31
Time Unit	ns
Iterations	710

2497.44 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2497443.77
Time Unit	ns
Iterations	280

Ed25519

222.87 μs

Name	BP/Share/ECLagrange/4/3
Real Time	222867.35
Time Unit	ns
Iterations	3142

300.93 μs

Name	BP/Share/ECLagrange/4/4
Real Time	300928.32
Time Unit	ns
Iterations	2326

465.14 μs

Name	BP/Share/ECLagrange/4/6
Real Time	465141.47
Time Unit	ns
Iterations	1493

644.62 μs

Name	BP/Share/ECLagrange/4/8
Real Time	644621.63
Time Unit	ns
Iterations	1095

820.99 μs

Name	BP/Share/ECLagrange/4/10
Real Time	820985.37
Time Unit	ns
Iterations	848

1419.11 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1419105.37
Time Unit	ns
Iterations	493

3326.79 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3326789.57
Time Unit	ns
Iterations	210

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

1.00 ms

Name	ZK/DL/Prover/3
Real Time	997339.44
Time Unit	ns
Iterations	699

0.76 ms

Name	ZK/DL/Verify/3
Real Time	759193.14
Time Unit	ns
Iterations	923

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.91 ms

Name	ZK/DL/Prover/4
Real Time	907496.40
Time Unit	ns
Iterations	768

4.47 ms

Name	ZK/DL/Verify/4
Real Time	4467526.51
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	78931.04
Time Unit	ns
Iterations	8872

0.14 ms

Name	ZK/DH/Verify/3
Real Time	137485.13
Time Unit	ns
Iterations	5007

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.81 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2810840.81
Time Unit	ns
Iterations	248

1.07 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1067582.50
Time Unit	ns
Iterations	656

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	79428.03
Time Unit	ns
Iterations	8817

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	142974.54
Time Unit	ns
Iterations	4884

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.27 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	266124.19
Time Unit	ns
Iterations	2632

0.35 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	346993.48
Time Unit	ns
Iterations	2039

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.38 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4376576.17
Time Unit	ns
Iterations	161

0.99 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	991904.68
Time Unit	ns
Iterations	704

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.52 ms

Name	ZK/ValidPaillier/Prover
Real Time	23521210.17
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22592068.71
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.65 ms

Name	ZK/PaillierZero/Prover
Real Time	92652825.62
Time Unit	ns
Iterations	8

87.92 ms

Name	ZK/PaillierZero/Verify
Real Time	87918538.12
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.88 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90882670.75
Time Unit	ns
Iterations	8

183.87 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183871263.75
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

332.65 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332646229.00
Time Unit	ns
Iterations	2

17.49 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17490297.00
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.25 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48247936.00
Time Unit	ns
Iterations	15

99.00 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99000104.43
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.77 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382774456.50
Time Unit	ns
Iterations	2

117.14 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	117139793.67
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

387.39 ms

Name	ZK/PDL/Prover
Real Time	387392011.00
Time Unit	ns
Iterations	2

127.12 ms

Name	ZK/PDL/Verify
Real Time	127119700.80
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.21 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297205282.00
Time Unit	ns
Iterations	2

298.41 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	298411431.50
Time Unit	ns
Iterations	2

34.12 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

1.00 ms

Name	ZK/DL/Prover/3
Real Time	997339.44
Time Unit	ns
Iterations	699

0.76 ms

Name	ZK/DL/Verify/3
Real Time	759193.14
Time Unit	ns
Iterations	923

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.73 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1726223.71
Time Unit	ns
Iterations	407

2.09 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2091506.62
Time Unit	ns
Iterations	338

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

4.02 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	4016956.15
Time Unit	ns
Iterations	170

4.68 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	4680744.12
Time Unit	ns
Iterations	147

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

12.41 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	12406078.34
Time Unit	ns
Iterations	56

23.24 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	23235620.77
Time Unit	ns
Iterations	31

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.91 ms

Name	ZK/DL/Prover/4
Real Time	907496.40
Time Unit	ns
Iterations	768

4.47 ms

Name	ZK/DL/Verify/4
Real Time	4467526.51
Time Unit	ns
Iterations	157

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.61 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1612898.75
Time Unit	ns
Iterations	433

14.28 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14283467.39
Time Unit	ns
Iterations	49

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.90 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3900242.60
Time Unit	ns
Iterations	176

46.82 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	46820966.67
Time Unit	ns
Iterations	15

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

12.27 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	12274987.73
Time Unit	ns
Iterations	59

261.17 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	261172085.33
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	519.55
Time Unit	ns
Iterations	1345422

0.02 KB

Name
Real Time
Time Unit
Iterations

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9761318.78
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.27 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9269071.57
Time Unit	ns
Iterations	75

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9761318.78
Time Unit	ns
Iterations	72

9.27 ms

Name	sum
Real Time	9269591.13
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

23.52 ms

Name	ZK/ValidPaillier/Prover
Real Time	23521210.17
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22592068.71
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

92.65 ms

Name	ZK/PaillierZero/Prover
Real Time	92652825.62
Time Unit	ns
Iterations	8

87.92 ms

Name	ZK/PaillierZero/Verify
Real Time	87918538.12
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.65 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35647192.40
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	602.61
Time Unit	ns
Iterations	1160239

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	707680.33
Time Unit	ns
Iterations	983

0.00 KB

Name
Real Time
Time Unit
Iterations

73.82 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73824630.22
Time Unit	ns
Iterations	9

36.35 ms

Name	sum
Real Time	36354872.73
Time Unit	ns
Iterations	-1

73.83 ms

Name	sum
Real Time	73825232.83
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

90.88 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90882670.75
Time Unit	ns
Iterations	8

183.87 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183871263.75
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.58 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129575991.20
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	537.27
Time Unit	ns
Iterations	1303436

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	9368.17
Time Unit	ns
Iterations	100685

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	10289.75
Time Unit	ns
Iterations	74886

129.59 ms

Name	sum
Real Time	129585359.37
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	10827.03
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

332.65 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332646229.00
Time Unit	ns
Iterations	2

17.49 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17490297.00
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

20.49 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20492886.88
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	651.67
Time Unit	ns
Iterations	1066579

0.01 KB

Name
Real Time
Time Unit
Iterations

0.36 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	355524.55
Time Unit	ns
Iterations	2612

3.81 KB

Name
Real Time
Time Unit
Iterations

43.85 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43849745.62
Time Unit	ns
Iterations	16

20.85 ms

Name	sum
Real Time	20848411.43
Time Unit	ns
Iterations	-1

43.85 ms

Name	sum
Real Time	43850397.30
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

48.25 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48247936.00
Time Unit	ns
Iterations	15

99.00 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99000104.43
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.85 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10848342.95
Time Unit	ns
Iterations	64

6.63 ms

Name	PVE/vencrypt/Verify/0
Real Time	6626706.03
Time Unit	ns
Iterations	102

7.34 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7339023.47
Time Unit	ns
Iterations	95

Batch(4) - RSA2048

18.68 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18678008.11
Time Unit	ns
Iterations	38

14.03 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14031119.74
Time Unit	ns
Iterations	50

14.83 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14825868.87
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

48.58 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	48578966.57
Time Unit	ns
Iterations	14

43.54 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43538923.31
Time Unit	ns
Iterations	16

44.24 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44239720.12
Time Unit	ns
Iterations	16

Basic - P-256

23.68 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	23681344.57
Time Unit	ns
Iterations	30

13.00 ms

Name	PVE/vencrypt/Verify/1
Real Time	12996575.37
Time Unit	ns
Iterations	54

13.08 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13077760.78
Time Unit	ns
Iterations	54

Batch(4) - P-256

31.50 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31497271.55
Time Unit	ns
Iterations	22

20.43 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20429681.76
Time Unit	ns
Iterations	34

20.56 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20556768.79
Time Unit	ns
Iterations	34

Batch(16) - P-256

61.19 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	61188803.64
Time Unit	ns
Iterations	11

50.00 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	50002979.00
Time Unit	ns
Iterations	14

50.03 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	50025880.64
Time Unit	ns
Iterations	14

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

559.04 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	559037378.00
Time Unit	ns
Iterations	1

304.87 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	304873499.50
Time Unit	ns
Iterations	2

3.65 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	3651658.20
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.25 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6253299.06
Time Unit	ns
Iterations	112

12.49 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12491956.91
Time Unit	ns
Iterations	57

24.55 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24549527.86
Time Unit	ns
Iterations	29

49.15 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	49147665.43
Time Unit	ns
Iterations	14

97.77 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	97769888.14
Time Unit	ns
Iterations	7

195.75 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195750204.50
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.45 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26454732.35
Time Unit	ns
Iterations	26

52.82 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	52819057.69
Time Unit	ns
Iterations	13

105.65 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	105654258.43
Time Unit	ns
Iterations	7

211.01 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	211008437.00
Time Unit	ns
Iterations	3

429.71 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	429711509.00
Time Unit	ns
Iterations	2

843.13 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	843134732.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.48 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3481103.41
Time Unit	ns
Iterations	201

6.95 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6952823.70
Time Unit	ns
Iterations	101

13.91 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13914410.58
Time Unit	ns
Iterations	50

27.82 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27815833.84
Time Unit	ns
Iterations	25

57.03 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	57026064.77
Time Unit	ns
Iterations	13

111.39 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	111393848.67
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.57 ms

Name	Full-OT-2P/1/1/2048
Real Time	24574920.24
Time Unit	ns
Iterations	29

message 1

round 2

109.69 ms

Name	Full-OT-2P/2/2/2048
Real Time	109689338.00
Time Unit	ns
Iterations	6

message 2

round 3

18.48 ms

Name	Full-OT-2P/3/1/2048
Real Time	18477038.53
Time Unit	ns
Iterations	38

message 3

Output Round

0.88 ms

Name	Full-OT-2P/4/2/2048
Real Time	875265.06
Time Unit	ns
Iterations	800

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.44 ms

Name	Full-OT-2P/1/1/4096
Real Time	24436344.00
Time Unit	ns
Iterations	29

message 1

round 2

110.24 ms

Name	Full-OT-2P/2/2/4096
Real Time	110242889.67
Time Unit	ns
Iterations	6

message 2

round 3

21.65 ms

Name	Full-OT-2P/3/1/4096
Real Time	21652208.12
Time Unit	ns
Iterations	32

message 3

Output Round

1.75 ms

Name	Full-OT-2P/4/2/4096
Real Time	1754890.42
Time Unit	ns
Iterations	398

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.57 ms

Name	Full-OT-2P/1/1/65536
Real Time	24566804.79
Time Unit	ns
Iterations	29

message 1

round 2

141.02 ms

Name	Full-OT-2P/2/2/65536
Real Time	141017592.40
Time Unit	ns
Iterations	5

message 2

round 3

118.68 ms

Name	Full-OT-2P/3/1/65536
Real Time	118682086.33
Time Unit	ns
Iterations	6

message 3

Output Round

28.11 ms

Name	Full-OT-2P/4/2/65536
Real Time	28114545.40
Time Unit	ns
Iterations	25

Agree Random - 256 bits

msg

Total Time

round 1

75.22 μs

Name	AgreeRandom-2P/1/1/256
Real Time	75221.42
Time Unit	ns
Iterations	10000

42.03 μs

Name	AgreeRandom-2P/1/2/256
Real Time	42033.61
Time Unit	ns
Iterations	10000

message 1

round 2

0.88 μs

Name	AgreeRandom-2P/2/1/256
Real Time	879.09
Time Unit	ns
Iterations	10000

12.37 μs

Name	AgreeRandom-2P/2/2/256
Real Time	12371.70
Time Unit	ns
Iterations	10000

message 2

round 3

0.66 μs

Name	AgreeRandom-2P/3/1/256
Real Time	664.49
Time Unit	ns
Iterations	10000

0.54 μs

Name	AgreeRandom-2P/3/2/256
Real Time	544.31
Time Unit	ns
Iterations	10000

message 3

Output Round

53.20 μs

Name	AgreeRandom-2P/4/1/256
Real Time	53202.64
Time Unit	ns
Iterations	10000

58.23 μs

Name	AgreeRandom-2P/4/2/256
Real Time	58233.94
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

75.14 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	75135.21
Time Unit	ns
Iterations	10000

42.13 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	42128.77
Time Unit	ns
Iterations	10000

message 1

round 2

0.88 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	875.27
Time Unit	ns
Iterations	10000

12.34 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	12343.48
Time Unit	ns
Iterations	10000

message 2

round 3

0.89 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	887.36
Time Unit	ns
Iterations	10000

0.64 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	640.02
Time Unit	ns
Iterations	10000

message 3

Output Round

55.30 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	55298.11
Time Unit	ns
Iterations	10000

59.22 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	59216.35
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

76.55 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	76548.31
Time Unit	ns
Iterations	10000

42.17 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	42172.88
Time Unit	ns
Iterations	10000

message 1

round 2

0.91 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	908.86
Time Unit	ns
Iterations	10000

12.59 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	12585.86
Time Unit	ns
Iterations	10000

message 2

round 3

1.29 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1292.69
Time Unit	ns
Iterations	10000

0.82 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	822.65
Time Unit	ns
Iterations	10000

message 3

Output Round

56.30 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	56302.93
Time Unit	ns
Iterations	10000

61.32 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	61323.65
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

67.76 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	67764.57
Time Unit	ns
Iterations	10000

41.84 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	41841.48
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	617.51
Time Unit	ns
Iterations	10000

12.41 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	12410.00
Time Unit	ns
Iterations	10000

message 2

Output Round

64.87 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	64868.16
Time Unit	ns
Iterations	10000

54.81 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	54810.65
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

68.03 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	68028.24
Time Unit	ns
Iterations	10000

41.62 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	41621.65
Time Unit	ns
Iterations	10000

message 1

round 2

0.63 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	627.29
Time Unit	ns
Iterations	10000

12.22 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	12223.08
Time Unit	ns
Iterations	10000

message 2

Output Round

64.93 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	64931.42
Time Unit	ns
Iterations	10000

59.29 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	59290.66
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

68.31 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	68305.91
Time Unit	ns
Iterations	10000

42.61 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	42606.52
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	619.95
Time Unit	ns
Iterations	10000

12.38 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	12376.88
Time Unit	ns
Iterations	10000

message 2

Output Round

67.26 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	67261.84
Time Unit	ns
Iterations	10000

59.64 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	59639.27
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

68.05 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	68049.77
Time Unit	ns
Iterations	10000

41.92 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	41924.32
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	622.35
Time Unit	ns
Iterations	10000

12.85 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	12853.62
Time Unit	ns
Iterations	10000

message 2

Output Round

64.22 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	64223.24
Time Unit	ns
Iterations	10000

54.85 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	54853.08
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

68.21 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	68207.98
Time Unit	ns
Iterations	10000

42.91 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	42910.03
Time Unit	ns
Iterations	10000

message 1

round 2

0.64 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	641.27
Time Unit	ns
Iterations	10000

11.96 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	11955.94
Time Unit	ns
Iterations	10000

message 2

Output Round

66.85 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	66854.11
Time Unit	ns
Iterations	10000

57.88 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	57884.94
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	98779.00
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	69579.80
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	771.30
Time Unit	ns
Iterations	10

1.14 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1141017.40
Time Unit	ns
Iterations	10

message 2

round 3

8.07 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	8072850.50
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2695.20
Time Unit	ns
Iterations	10

message 3

Output Round

0.08 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	75666.00
Time Unit	ns
Iterations	10

7.08 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	7077713.30
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.08 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	78045.94
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	42917.29
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	867.82
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	12727.72
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	763.67
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	576.71
Time Unit	ns
Iterations	200

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	59067.93
Time Unit	ns
Iterations	200

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	63830.04
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	98121.22
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	42681.56
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	987.28
Time Unit	ns
Iterations	50

1.52 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1522331.34
Time Unit	ns
Iterations	50

message 2

round 3

10.99 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10988063.16
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2037.80
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	19875.36
Time Unit	ns
Iterations	50

9.47 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9473617.66
Time Unit	ns
Iterations	50

message 4

Output Round

0.24 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	237947.38
Time Unit	ns
Iterations	50

0.09 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	89210.04
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	163821.76
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	43726.92
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1009.38
Time Unit	ns
Iterations	50

1.96 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1961331.96
Time Unit	ns
Iterations	50

message 2

round 3

19.97 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	19970621.06
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2760.60
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	54018.80
Time Unit	ns
Iterations	50

18.06 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18061581.34
Time Unit	ns
Iterations	50

message 4

Output Round

0.69 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	687119.82
Time Unit	ns
Iterations	50

0.10 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	97143.60
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.41 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	406864.36
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	44169.66
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	1008.44
Time Unit	ns
Iterations	50

4.57 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4565972.20
Time Unit	ns
Iterations	50

message 2

round 3

56.51 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	56507564.08
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	3787.36
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	192902.50
Time Unit	ns
Iterations	50

52.84 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	52837937.60
Time Unit	ns
Iterations	50

message 4

Output Round

2.28 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2279551.20
Time Unit	ns
Iterations	50

0.12 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	124933.48
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

214.84 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	214837734.25
Time Unit	ns
Iterations	20

0.08 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	82080.20
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2441.05
Time Unit	ns
Iterations	20

1.32 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1315128.10
Time Unit	ns
Iterations	20

message 2

round 3

17.30 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17297149.40
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2115.85
Time Unit	ns
Iterations	20

message 3

Output Round

0.16 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	156328.10
Time Unit	ns
Iterations	20

78.15 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	78145379.30
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

83.18 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	83183749.10
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	45752.45
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1597.40
Time Unit	ns
Iterations	20

1.39 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	1393435.60
Time Unit	ns
Iterations	20

message 2

round 3

10.54 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10542797.45
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1096.55
Time Unit	ns
Iterations	20

message 3

Output Round

0.13 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	129784.10
Time Unit	ns
Iterations	20

86.55 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	86554958.45
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	1591080.70
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	52772.05
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	709.75
Time Unit	ns
Iterations	20

1.55 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1547498.65
Time Unit	ns
Iterations	20

message 2

round 3

1.97 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1968977.40
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2796.75
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	3518.10
Time Unit	ns
Iterations	20

42.97 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42972996.65
Time Unit	ns
Iterations	20

message 4

Output Round

24.66 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	24661223.10
Time Unit	ns
Iterations	20

0.10 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	100612.70
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	2043768.35
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	49229.25
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	798.85
Time Unit	ns
Iterations	20

1.99 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1993066.25
Time Unit	ns
Iterations	20

message 2

round 3

2.73 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2732558.35
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	3348.90
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	5065.90
Time Unit	ns
Iterations	20

167.23 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	167229193.45
Time Unit	ns
Iterations	20

message 4

Output Round

97.99 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	97993038.10
Time Unit	ns
Iterations	20

0.14 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	141525.45
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.55 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4546200.95
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	52256.60
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	776.50
Time Unit	ns
Iterations	20

4.58 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4579400.30
Time Unit	ns
Iterations	20

message 2

round 3

6.07 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6066366.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3200.25
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	4839.40
Time Unit	ns
Iterations	20

661.66 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	661657730.45
Time Unit	ns
Iterations	20

message 4

Output Round

390.50 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	390504865.85
Time Unit	ns
Iterations	20

0.17 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	165064.50
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	1609639.05
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	48367.45
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	797.50
Time Unit	ns
Iterations	20

1.52 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1517566.10
Time Unit	ns
Iterations	20

message 2

round 3

1.97 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1965424.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	3472.00
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/1
Real Time	4046.05
Time Unit	ns
Iterations	20

13.17 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13165787.80
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

2.03 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2033743.15
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	47487.00
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	807.05
Time Unit	ns
Iterations	20

1.97 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1968027.05
Time Unit	ns
Iterations	20

message 2

round 3

2.76 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2756331.35
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	3926.90
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	4813.95
Time Unit	ns
Iterations	20

47.58 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47580560.15
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

4.75 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4747059.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	51277.95
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	768.45
Time Unit	ns
Iterations	20

4.73 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4729981.45
Time Unit	ns
Iterations	20

message 2

round 3

6.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6044740.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	2541.80
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	5436.25
Time Unit	ns
Iterations	20

182.76 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	182760384.80
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

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

0.00 ms

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

Keygen

Total Time

round 1

0.28 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	277285.00
Time Unit	ns
Iterations	1

0.17 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	167883.00
Time Unit	ns
Iterations	1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	244232.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	219331.00
Time Unit	ns
Iterations	1

message 1

round 2

1.59 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1588781.00
Time Unit	ns
Iterations	1

1.59 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1591245.00
Time Unit	ns
Iterations	1

1.56 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1564596.00
Time Unit	ns
Iterations	1

1.62 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1619869.00
Time Unit	ns
Iterations	1

message 2

Output Round

21.08 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	21075191.00
Time Unit	ns
Iterations	1

21.19 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	21191184.00
Time Unit	ns
Iterations	1

20.88 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20881670.00
Time Unit	ns
Iterations	1

20.94 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20940841.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.70 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4703248.70
Time Unit	ns
Iterations	10

4.73 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4733685.50
Time Unit	ns
Iterations	10

4.69 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4688074.40
Time Unit	ns
Iterations	10

4.64 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4644015.30
Time Unit	ns
Iterations	10

message 1

round 2

2.64 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2641559.80
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2632979.80
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2629664.90
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2632371.40
Time Unit	ns
Iterations	10

message 2

Output Round

71.47 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	71473478.20
Time Unit	ns
Iterations	10

71.56 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	71555270.20
Time Unit	ns
Iterations	10

71.85 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	71852007.10
Time Unit	ns
Iterations	10

71.62 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	71618171.70
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	264780.40
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	263966.90
Time Unit	ns
Iterations	10

0.28 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	277155.40
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	262981.00
Time Unit	ns
Iterations	10

message 1

round 2

2.64 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2640058.40
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2622781.00
Time Unit	ns
Iterations	10

2.56 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2558676.40
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2586973.20
Time Unit	ns
Iterations	10

message 2

round 3

45.58 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	45575139.70
Time Unit	ns
Iterations	10

45.46 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45455087.90
Time Unit	ns
Iterations	10

45.60 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45604636.90
Time Unit	ns
Iterations	10

45.74 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	45740150.90
Time Unit	ns
Iterations	10

message 3

Output Round

0.58 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	578646.70
Time Unit	ns
Iterations	10

0.15 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	153318.30
Time Unit	ns
Iterations	10

0.19 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	187760.80
Time Unit	ns
Iterations	10

0.18 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	183469.10
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	184211.60
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	179935.70
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	178067.20
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	174232.20
Time Unit	ns
Iterations	10

message 1

round 2

1.37 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1374896.40
Time Unit	ns
Iterations	10

1.36 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1364166.40
Time Unit	ns
Iterations	10

1.36 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1362828.10
Time Unit	ns
Iterations	10

1.37 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1370412.10
Time Unit	ns
Iterations	10

message 2

Output Round

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3234668.60
Time Unit	ns
Iterations	10

3.24 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3235843.60
Time Unit	ns
Iterations	10

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3233430.60
Time Unit	ns
Iterations	10

3.24 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3237821.60
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.65 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4654295.80
Time Unit	ns
Iterations	10

4.69 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4686523.50
Time Unit	ns
Iterations	10

4.75 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4750274.80
Time Unit	ns
Iterations	10

4.71 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4714332.70
Time Unit	ns
Iterations	10

message 1

round 2

1.26 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1257843.30
Time Unit	ns
Iterations	10

1.25 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1250362.50
Time Unit	ns
Iterations	10

1.24 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1241213.40
Time Unit	ns
Iterations	10

1.24 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1242119.30
Time Unit	ns
Iterations	10

message 2

Output Round

11.14 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	11137519.90
Time Unit	ns
Iterations	10

11.14 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11138387.20
Time Unit	ns
Iterations	10

11.14 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11139154.50
Time Unit	ns
Iterations	10

11.15 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11146315.40
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	215392.90
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	226494.80
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	222253.80
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	225065.20
Time Unit	ns
Iterations	10

message 1

round 2

69.89 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69887333.90
Time Unit	ns
Iterations	10

47.08 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	47080830.70
Time Unit	ns
Iterations	10

24.36 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24364325.90
Time Unit	ns
Iterations	10

1.38 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1380014.80
Time Unit	ns
Iterations	10

message 2

round 3

3.18 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3179212.70
Time Unit	ns
Iterations	10

98.77 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	98765676.80
Time Unit	ns
Iterations	10

194.02 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	194020296.20
Time Unit	ns
Iterations	10

289.02 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	289022748.00
Time Unit	ns
Iterations	10

message 3

round 4

72.56 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	72562059.30
Time Unit	ns
Iterations	10

50.61 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	50613299.50
Time Unit	ns
Iterations	10

28.90 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	28902088.60
Time Unit	ns
Iterations	10

7.17 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	7168028.80
Time Unit	ns
Iterations	10

message 4

round 5

9.89 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9893612.00
Time Unit	ns
Iterations	10

12.63 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12629110.40
Time Unit	ns
Iterations	10

15.08 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	15076079.40
Time Unit	ns
Iterations	10

17.49 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17486753.00
Time Unit	ns
Iterations	10

message 5

round 6

11.71 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11710159.20
Time Unit	ns
Iterations	10

10.63 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10625652.40
Time Unit	ns
Iterations	10

9.29 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9291903.90
Time Unit	ns
Iterations	10

7.98 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7978075.00
Time Unit	ns
Iterations	10

message 6

round 7

21.98 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21979938.30
Time Unit	ns
Iterations	10

21.85 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	21853116.40
Time Unit	ns
Iterations	10

21.99 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21985188.80
Time Unit	ns
Iterations	10

22.10 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	22103597.30
Time Unit	ns
Iterations	10

message 7

round 8

9.38 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9377358.30
Time Unit	ns
Iterations	10

9.35 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9351005.40
Time Unit	ns
Iterations	10

9.34 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9341896.20
Time Unit	ns
Iterations	10

9.34 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9340115.10
Time Unit	ns
Iterations	10

message 8

round 9

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2755050.30
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2760515.20
Time Unit	ns
Iterations	10

2.74 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2742798.50
Time Unit	ns
Iterations	10

2.75 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2751119.70
Time Unit	ns
Iterations	10

message 9

Output Round

2.48 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2475503.60
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1354890.50
Time Unit	ns
Iterations	10

1.31 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1310576.20
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1349922.00
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