Benchmark Context

Date: 2025-05-07T16:50:02+00:00
Commit: 9883f8dd9df8cae9d1c98c9dbee9fbecc9b61977
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3244

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.06 μs

Name	Core/BN/ModAdd/256
Real Time	64.39
Time Unit	ns
Iterations	10821523

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	76.53
Time Unit	ns
Iterations	9164613

0.11 μs

Name	Core/BN/ModAdd/1024
Real Time	106.34
Time Unit	ns
Iterations	6572408

0.17 μs

Name	Core/BN/ModAdd/2048
Real Time	173.16
Time Unit	ns
Iterations	4026821

0.27 μs

Name	Core/BN/ModAdd/4096
Real Time	272.70
Time Unit	ns
Iterations	2547777

Mod Sub

0.06 μs

Name	Core/BN/ModSubtract/256
Real Time	60.53
Time Unit	ns
Iterations	11564965

0.07 μs

Name	Core/BN/ModSubtract/512
Real Time	72.54
Time Unit	ns
Iterations	9629775

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	107.96
Time Unit	ns
Iterations	6475403

0.18 μs

Name	Core/BN/ModSubtract/2048
Real Time	180.48
Time Unit	ns
Iterations	3880142

0.32 μs

Name	Core/BN/ModSubtract/4096
Real Time	323.50
Time Unit	ns
Iterations	2169879

Mod Mul

0.15 μs

Name	Core/BN/ModMultiply/256
Real Time	153.84
Time Unit	ns
Iterations	4549342

0.30 μs

Name	Core/BN/ModMultiply/512
Real Time	295.31
Time Unit	ns
Iterations	2373123

0.84 μs

Name	Core/BN/ModMultiply/1024
Real Time	842.22
Time Unit	ns
Iterations	830777

2.99 μs

Name	Core/BN/ModMultiply/2048
Real Time	2993.22
Time Unit	ns
Iterations	242043

11.51 μs

Name	Core/BN/ModMultiply/4096
Real Time	11507.31
Time Unit	ns
Iterations	60686

Mod Exponentiate

16.29 μs

Name	Core/BN/ModExponentiate/256
Real Time	16288.94
Time Unit	ns
Iterations	43019

41.88 μs

Name	Core/BN/ModExponentiate/512
Real Time	41882.07
Time Unit	ns
Iterations	16708

310.97 μs

Name	Core/BN/ModExponentiate/1024
Real Time	310971.39
Time Unit	ns
Iterations	2251

2212.55 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2212553.06
Time Unit	ns
Iterations	316

16522.25 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16522254.57
Time Unit	ns
Iterations	42

Mod Invert

17.11 μs

Name	Core/BN/ModInvert/256
Real Time	17106.23
Time Unit	ns
Iterations	41006

36.69 μs

Name	Core/BN/ModInvert/512
Real Time	36693.09
Time Unit	ns
Iterations	19078

85.46 μs

Name	Core/BN/ModInvert/1024
Real Time	85460.39
Time Unit	ns
Iterations	8174

219.34 μs

Name	Core/BN/ModInvert/2048
Real Time	219340.66
Time Unit	ns
Iterations	3190

676.46 μs

Name	Core/BN/ModInvert/4096
Real Time	676460.29
Time Unit	ns
Iterations	975

GCD

23.14 μs

Name	Core/BN/GCD/256
Real Time	23140.70
Time Unit	ns
Iterations	29631

52.41 μs

Name	Core/BN/GCD/512
Real Time	52407.28
Time Unit	ns
Iterations	13426

131.60 μs

Name	Core/BN/GCD/1024
Real Time	131602.65
Time Unit	ns
Iterations	5321

366.52 μs

Name	Core/BN/GCD/2048
Real Time	366523.55
Time Unit	ns
Iterations	1891

1197.38 μs

Name	Core/BN/GCD/4096
Real Time	1197376.78
Time Unit	ns
Iterations	581

GCD with RSA Modulus

23.26 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23256.45
Time Unit	ns
Iterations	29932

53.04 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	53038.45
Time Unit	ns
Iterations	13439

132.25 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	132252.47
Time Unit	ns
Iterations	5355

372.52 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	372522.74
Time Unit	ns
Iterations	1888

1212.01 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1212006.59
Time Unit	ns
Iterations	581

Batch(16) GCD with RSA Modulus

26.03 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	26032.38
Time Unit	ns
Iterations	26994

57.75 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	57751.95
Time Unit	ns
Iterations	12348

143.67 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	143668.88
Time Unit	ns
Iterations	4823

414.98 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	414977.75
Time Unit	ns
Iterations	1710

1371.54 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1371544.30
Time Unit	ns
Iterations	511

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	357.11
Time Unit	ns
Iterations	1959114

0.31 μs

Name	Core/EC/Add/Ed25519
Real Time	307.72
Time Unit	ns
Iterations	2274928

Multiply

41.32 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41315.89
Time Unit	ns
Iterations	16937

65.05 μs

Name	Core/EC/Multiply/Ed25519
Real Time	65046.71
Time Unit	ns
Iterations	10779

Multiply Generator

19.86 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	19864.89
Time Unit	ns
Iterations	35186

14.21 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14206.34
Time Unit	ns
Iterations	49235

MulAdd

62.57 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	62571.89
Time Unit	ns
Iterations	11361

80.99 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	80988.60
Time Unit	ns
Iterations	8657

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

0.31 μs

Name	Core/Hash/SHA256/1
Real Time	305.01
Time Unit	ns
Iterations	2288333

0.30 μs

Name	Core/Hash/SHA256/4
Real Time	304.96
Time Unit	ns
Iterations	2293959

0.30 μs

Name	Core/Hash/SHA256/16
Real Time	304.42
Time Unit	ns
Iterations	2311929

0.34 μs

Name	Core/Hash/SHA256/64
Real Time	339.95
Time Unit	ns
Iterations	2056358

0.46 μs

Name	Core/Hash/SHA256/256
Real Time	459.74
Time Unit	ns
Iterations	1522287

0.94 μs

Name	Core/Hash/SHA256/1024
Real Time	940.87
Time Unit	ns
Iterations	744240

2.87 μs

Name	Core/Hash/SHA256/4096
Real Time	2866.36
Time Unit	ns
Iterations	244267

HMAC-SHA256

0.30 μs

Name	Core/Hash/HMAC-SHA256/1
Real Time	305.00
Time Unit	ns
Iterations	2292830

0.30 μs

Name	Core/Hash/HMAC-SHA256/4
Real Time	304.73
Time Unit	ns
Iterations	2295121

0.30 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	302.44
Time Unit	ns
Iterations	2316138

0.34 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	339.81
Time Unit	ns
Iterations	2044462

0.46 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	458.63
Time Unit	ns
Iterations	1524340

0.94 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	941.09
Time Unit	ns
Iterations	745306

2.87 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	2865.57
Time Unit	ns
Iterations	244184

AES-GCM-128

0.69 μs

Name	Core/Hash/AES-GCM-128/1
Real Time	688.51
Time Unit	ns
Iterations	1017401

0.69 μs

Name	Core/Hash/AES-GCM-128/4
Real Time	686.43
Time Unit	ns
Iterations	1018613

0.69 μs

Name	Core/Hash/AES-GCM-128/16
Real Time	686.00
Time Unit	ns
Iterations	1017269

0.71 μs

Name	Core/Hash/AES-GCM-128/64
Real Time	705.93
Time Unit	ns
Iterations	994782

0.76 μs

Name	Core/Hash/AES-GCM-128/256
Real Time	762.18
Time Unit	ns
Iterations	911171

0.94 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	941.32
Time Unit	ns
Iterations	744351

1.65 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1652.04
Time Unit	ns
Iterations	424391

AES-GCM-256

0.69 μs

Name	Core/Hash/AES-GCM-256/1
Real Time	688.59
Time Unit	ns
Iterations	999030

0.69 μs

Name	Core/Hash/AES-GCM-256/4
Real Time	689.76
Time Unit	ns
Iterations	1014642

0.69 μs

Name	Core/Hash/AES-GCM-256/16
Real Time	688.18
Time Unit	ns
Iterations	1006115

0.71 μs

Name	Core/Hash/AES-GCM-256/64
Real Time	706.65
Time Unit	ns
Iterations	991896

0.76 μs

Name	Core/Hash/AES-GCM-256/256
Real Time	756.68
Time Unit	ns
Iterations	919050

0.94 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	944.64
Time Unit	ns
Iterations	741944

1.65 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1650.92
Time Unit	ns
Iterations	423352

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.69 μs

Name	BP/ElGamal/Commit/3
Real Time	82687.90
Time Unit	ns
Iterations	8474

95.50 μs

Name	BP/ElGamal/Commit/4
Real Time	95503.35
Time Unit	ns
Iterations	7323

Rerand

62.35 μs

Name	BP/ElGamal/Rerand/3
Real Time	62352.69
Time Unit	ns
Iterations	11221

80.24 μs

Name	BP/ElGamal/Rerand/4
Real Time	80243.09
Time Unit	ns
Iterations	8742

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	755.45
Time Unit	ns
Iterations	926828

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	655.34
Time Unit	ns
Iterations	1068786

Add Scalar

20.48 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20475.96
Time Unit	ns
Iterations	34202

7.69 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7693.91
Time Unit	ns
Iterations	90879

Mul Scalar

82.81 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82813.98
Time Unit	ns
Iterations	8419

130.27 μs

Name	BP/ElGamal/MulScalar/4
Real Time	130269.53
Time Unit	ns
Iterations	5380

Paillier

Operation \ Bit length

2048 bits

Generate Key

53.52 ms

Name	BP/Paillier/Gen
Real Time	53518497.00
Time Unit	ns
Iterations	10

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4520208.63
Time Unit	ns
Iterations	155

Encrypt

8.57 ms

Name	BP/Paillier/Pub-Enc
Real Time	8566489.33
Time Unit	ns
Iterations	82

Decrypt

4.51 ms

Name	BP/Paillier/Dec
Real Time	4510009.54
Time Unit	ns
Iterations	155

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11567.98
Time Unit	ns
Iterations	60464

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	13453.16
Time Unit	ns
Iterations	52027

Mul-Scalar

8.32 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8319440.45
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.04 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189039.04
Time Unit	ns
Iterations	3712

188.87 μs

Name	tdh2-encrypt-1P/30/256
Real Time	188869.41
Time Unit	ns
Iterations	3688

269.14 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	269136.16
Time Unit	ns
Iterations	2616

267.57 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	267570.95
Time Unit	ns
Iterations	2613

Verify

220.76 μs

Name	tdh2-verify-1P/4/256
Real Time	220764.11
Time Unit	ns
Iterations	3165

220.49 μs

Name	tdh2-verify-1P/30/256
Real Time	220493.13
Time Unit	ns
Iterations	3495

282.08 μs

Name	tdh2-verify-1P/4/65536
Real Time	282080.93
Time Unit	ns
Iterations	2867

262.12 μs

Name	tdh2-verify-1P/30/65536
Real Time	262123.61
Time Unit	ns
Iterations	2666

Local Decrypt

321.84 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	321835.42
Time Unit	ns
Iterations	1833

362.16 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	362164.51
Time Unit	ns
Iterations	2046

363.36 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	363355.10
Time Unit	ns
Iterations	1926

362.64 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	362637.90
Time Unit	ns
Iterations	1929

Combine

897.22 μs

Name	tdh2-combine-1P/4/256
Real Time	897224.99
Time Unit	ns
Iterations	731

5444.20 μs

Name	tdh2-combine-1P/30/256
Real Time	5444197.74
Time Unit	ns
Iterations	130

978.75 μs

Name	tdh2-combine-1P/4/65536
Real Time	978748.70
Time Unit	ns
Iterations	716

5490.04 μs

Name	tdh2-combine-1P/30/65536
Real Time	5490039.40
Time Unit	ns
Iterations	129

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.40 μs

Name	Crypto/DRBG/String/1024
Real Time	1404.42
Time Unit	ns
Iterations	497870

1.47 μs

Name	Crypto/DRBG/String/2048
Real Time	1469.20
Time Unit	ns
Iterations	477740

1.57 μs

Name	Crypto/DRBG/String/4096
Real Time	1566.80
Time Unit	ns
Iterations	447218

1.79 μs

Name	Crypto/DRBG/String/8192
Real Time	1788.35
Time Unit	ns
Iterations	391765

2.31 μs

Name	Crypto/DRBG/String/16384
Real Time	2307.36
Time Unit	ns
Iterations	304677

3.24 μs

Name	Crypto/DRBG/String/32768
Real Time	3243.06
Time Unit	ns
Iterations	212270

5.05 μs

Name	Crypto/DRBG/String/65536
Real Time	5054.02
Time Unit	ns
Iterations	138497

8.69 μs

Name	Crypto/DRBG/String/131072
Real Time	8685.07
Time Unit	ns
Iterations	80596

15.91 μs

Name	Crypto/DRBG/String/262144
Real Time	15913.75
Time Unit	ns
Iterations	43974

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.67 μs

Name	Crypto/DRBG/Number/256
Real Time	1674.52
Time Unit	ns
Iterations	418725

1.78 μs

Name	Crypto/DRBG/Number/512
Real Time	1775.54
Time Unit	ns
Iterations	393942

1.98 μs

Name	Crypto/DRBG/Number/1024
Real Time	1976.14
Time Unit	ns
Iterations	352603

2.35 μs

Name	Crypto/DRBG/Number/2048
Real Time	2352.44
Time Unit	ns
Iterations	297488

3.13 μs

Name	Crypto/DRBG/Number/4096
Real Time	3125.45
Time Unit	ns
Iterations	223925

Curve

secp256k1

Ed25519

DRBG-Curve

21.98 μs

Name	Crypto/DRBG/Curve/3
Real Time	21977.66
Time Unit	ns
Iterations	31902

16.50 μs

Name	Crypto/DRBG/Curve/4
Real Time	16501.12
Time Unit	ns
Iterations	42754

HMAC

#big number

Commit

2.33 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2328.97
Time Unit	ns
Iterations	300299

2.59 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2593.56
Time Unit	ns
Iterations	270397

2.89 μs

Name	Crypto/Commitment/ComBn/6
Real Time	2894.53
Time Unit	ns
Iterations	241336

3.12 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3123.00
Time Unit	ns
Iterations	224147

3.37 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3374.23
Time Unit	ns
Iterations	207493

3.61 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3607.25
Time Unit	ns
Iterations	194417

3.87 μs

Name	Crypto/Commitment/ComBn/14
Real Time	3870.36
Time Unit	ns
Iterations	181483

4.13 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4127.40
Time Unit	ns
Iterations	169548

4.37 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4374.37
Time Unit	ns
Iterations	160419

4.63 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4633.87
Time Unit	ns
Iterations	150377

Pedersen

Curve

secp256k1

Ed25519

Commit

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

ElGamal

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.69 μs

Name	BP/ElGamal/Commit/3
Real Time	82687.90
Time Unit	ns
Iterations	8474

95.50 μs

Name	BP/ElGamal/Commit/4
Real Time	95503.35
Time Unit	ns
Iterations	7323

Rerand

62.35 μs

Name	BP/ElGamal/Rerand/3
Real Time	62352.69
Time Unit	ns
Iterations	11221

80.24 μs

Name	BP/ElGamal/Rerand/4
Real Time	80243.09
Time Unit	ns
Iterations	8742

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	755.45
Time Unit	ns
Iterations	926828

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	655.34
Time Unit	ns
Iterations	1068786

Add Scalar

20.48 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20475.96
Time Unit	ns
Iterations	34202

7.69 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7693.91
Time Unit	ns
Iterations	90879

Mul Scalar

82.81 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82813.98
Time Unit	ns
Iterations	8419

130.27 μs

Name	BP/ElGamal/MulScalar/4
Real Time	130269.53
Time Unit	ns
Iterations	5380

Shamir Secret Sharing

m\n

13.54 μs

Name	BP/Share/Shamir/10/2
Real Time	13540.50
Time Unit	ns
Iterations	51703

15.79 μs

Name	BP/Share/Shamir/10/3
Real Time	15785.29
Time Unit	ns
Iterations	44413

17.80 μs

Name	BP/Share/Shamir/10/4
Real Time	17798.38
Time Unit	ns
Iterations	39329

19.91 μs

Name	BP/Share/Shamir/10/5
Real Time	19912.67
Time Unit	ns
Iterations	35168

22.07 μs

Name	BP/Share/Shamir/10/6
Real Time	22071.27
Time Unit	ns
Iterations	31670

24.06 μs

Name	BP/Share/Shamir/10/7
Real Time	24062.73
Time Unit	ns
Iterations	29122

27.77 μs

Name	BP/Share/Shamir/20/2
Real Time	27770.46
Time Unit	ns
Iterations	25179

32.26 μs

Name	BP/Share/Shamir/20/3
Real Time	32263.05
Time Unit	ns
Iterations	21638

36.42 μs

Name	BP/Share/Shamir/20/4
Real Time	36424.93
Time Unit	ns
Iterations	19227

40.80 μs

Name	BP/Share/Shamir/20/5
Real Time	40803.32
Time Unit	ns
Iterations	17176

45.48 μs

Name	BP/Share/Shamir/20/6
Real Time	45477.03
Time Unit	ns
Iterations	15519

49.11 μs

Name	BP/Share/Shamir/20/7
Real Time	49108.78
Time Unit	ns
Iterations	14248

42.01 μs

Name	BP/Share/Shamir/30/2
Real Time	42013.02
Time Unit	ns
Iterations	16690

49.09 μs

Name	BP/Share/Shamir/30/3
Real Time	49093.58
Time Unit	ns
Iterations	14427

54.99 μs

Name	BP/Share/Shamir/30/4
Real Time	54992.71
Time Unit	ns
Iterations	12718

61.65 μs

Name	BP/Share/Shamir/30/5
Real Time	61646.09
Time Unit	ns
Iterations	11328

67.88 μs

Name	BP/Share/Shamir/30/6
Real Time	67879.65
Time Unit	ns
Iterations	10323

74.23 μs

Name	BP/Share/Shamir/30/7
Real Time	74226.03
Time Unit	ns
Iterations	9440

Horner's rule

m\n

256 bit field

0.49 μs

Name	BP/Share/Horner/3
Real Time	487.44
Time Unit	ns
Iterations	1437712

0.70 μs

Name	BP/Share/Horner/4
Real Time	704.41
Time Unit	ns
Iterations	993895

1.14 μs

Name	BP/Share/Horner/6
Real Time	1139.01
Time Unit	ns
Iterations	613733

1.58 μs

Name	BP/Share/Horner/8
Real Time	1578.65
Time Unit	ns
Iterations	444158

2.01 μs

Name	BP/Share/Horner/10
Real Time	2011.12
Time Unit	ns
Iterations	348131

3.32 μs

Name	BP/Share/Horner/16
Real Time	3317.02
Time Unit	ns
Iterations	211278

6.79 μs

Name	BP/Share/Horner/32
Real Time	6787.68
Time Unit	ns
Iterations	101952

secp256k1

83.73 μs

Name	BP/Share/ECHorner/3/3
Real Time	83729.31
Time Unit	ns
Iterations	8393

125.15 μs

Name	BP/Share/ECHorner/3/4
Real Time	125151.08
Time Unit	ns
Iterations	5566

208.63 μs

Name	BP/Share/ECHorner/3/6
Real Time	208628.95
Time Unit	ns
Iterations	3357

291.93 μs

Name	BP/Share/ECHorner/3/8
Real Time	291934.12
Time Unit	ns
Iterations	2393

375.38 μs

Name	BP/Share/ECHorner/3/10
Real Time	375383.76
Time Unit	ns
Iterations	1861

625.99 μs

Name	BP/Share/ECHorner/3/16
Real Time	625994.75
Time Unit	ns
Iterations	1118

1293.73 μs

Name	BP/Share/ECHorner/3/32
Real Time	1293727.44
Time Unit	ns
Iterations	541

Ed25519

130.78 μs

Name	BP/Share/ECHorner/4/3
Real Time	130783.96
Time Unit	ns
Iterations	5363

198.01 μs

Name	BP/Share/ECHorner/4/4
Real Time	198009.28
Time Unit	ns
Iterations	3537

328.01 μs

Name	BP/Share/ECHorner/4/6
Real Time	328008.42
Time Unit	ns
Iterations	2142

457.23 μs

Name	BP/Share/ECHorner/4/8
Real Time	457233.89
Time Unit	ns
Iterations	1529

593.81 μs

Name	BP/Share/ECHorner/4/10
Real Time	593807.31
Time Unit	ns
Iterations	1192

979.80 μs

Name	BP/Share/ECHorner/4/16
Real Time	979799.03
Time Unit	ns
Iterations	714

2026.41 μs

Name	BP/Share/ECHorner/4/32
Real Time	2026405.08
Time Unit	ns
Iterations	346

Lagrange interpolation

m\n

256 bit field

35.76 μs

Name	BP/Share/Lagrange/3
Real Time	35763.45
Time Unit	ns
Iterations	19492

53.30 μs

Name	BP/Share/Lagrange/4
Real Time	53301.76
Time Unit	ns
Iterations	13389

93.53 μs

Name	BP/Share/Lagrange/6
Real Time	93527.47
Time Unit	ns
Iterations	7541

142.88 μs

Name	BP/Share/Lagrange/8
Real Time	142876.28
Time Unit	ns
Iterations	4839

202.37 μs

Name	BP/Share/Lagrange/10
Real Time	202368.66
Time Unit	ns
Iterations	3423

420.93 μs

Name	BP/Share/Lagrange/16
Real Time	420933.79
Time Unit	ns
Iterations	1668

1329.96 μs

Name	BP/Share/Lagrange/32
Real Time	1329960.71
Time Unit	ns
Iterations	527

secp256k1

134.23 μs

Name	BP/Share/ECLagrange/3/3
Real Time	134227.75
Time Unit	ns
Iterations	5274

181.71 μs

Name	BP/Share/ECLagrange/3/4
Real Time	181709.87
Time Unit	ns
Iterations	3865

288.99 μs

Name	BP/Share/ECLagrange/3/6
Real Time	288988.19
Time Unit	ns
Iterations	2426

406.20 μs

Name	BP/Share/ECLagrange/3/8
Real Time	406195.06
Time Unit	ns
Iterations	1733

537.97 μs

Name	BP/Share/ECLagrange/3/10
Real Time	537968.76
Time Unit	ns
Iterations	1307

971.50 μs

Name	BP/Share/ECLagrange/3/16
Real Time	971502.35
Time Unit	ns
Iterations	713

2471.62 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2471618.31
Time Unit	ns
Iterations	285

Ed25519

232.39 μs

Name	BP/Share/ECLagrange/4/3
Real Time	232385.78
Time Unit	ns
Iterations	3017

312.62 μs

Name	BP/Share/ECLagrange/4/4
Real Time	312622.17
Time Unit	ns
Iterations	2241

483.23 μs

Name	BP/Share/ECLagrange/4/6
Real Time	483234.08
Time Unit	ns
Iterations	1450

662.10 μs

Name	BP/Share/ECLagrange/4/8
Real Time	662096.00
Time Unit	ns
Iterations	1058

850.65 μs

Name	BP/Share/ECLagrange/4/10
Real Time	850646.86
Time Unit	ns
Iterations	824

1463.95 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1463949.84
Time Unit	ns
Iterations	478

3413.77 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3413771.19
Time Unit	ns
Iterations	205

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.99 ms

Name	ZK/DL/Prover/3
Real Time	991320.61
Time Unit	ns
Iterations	701

0.76 ms

Name	ZK/DL/Verify/3
Real Time	762544.33
Time Unit	ns
Iterations	920

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.92 ms

Name	ZK/DL/Prover/4
Real Time	917649.32
Time Unit	ns
Iterations	759

4.57 ms

Name	ZK/DL/Verify/4
Real Time	4572385.01
Time Unit	ns
Iterations	153

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	77090.38
Time Unit	ns
Iterations	9085

0.14 ms

Name	ZK/DH/Verify/3
Real Time	138929.70
Time Unit	ns
Iterations	5053

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com (secp256k1)

2.75 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2751511.28
Time Unit	ns
Iterations	256

1.07 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1071520.47
Time Unit	ns
Iterations	653

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	77849.95
Time Unit	ns
Iterations	9007

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	142242.13
Time Unit	ns
Iterations	4923

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.25 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	254877.44
Time Unit	ns
Iterations	2718

0.37 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	372181.50
Time Unit	ns
Iterations	1887

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.26 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4256990.39
Time Unit	ns
Iterations	165

1.00 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	997257.88
Time Unit	ns
Iterations	704

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.40 ms

Name	ZK/ValidPaillier/Prover
Real Time	23398442.57
Time Unit	ns
Iterations	30

22.62 ms

Name	ZK/ValidPaillier/Verify
Real Time	22618520.68
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.47 ms

Name	ZK/PaillierZero/Prover
Real Time	92472511.88
Time Unit	ns
Iterations	8

87.96 ms

Name	ZK/PaillierZero/Verify
Real Time	87955072.75
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.64 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90636678.50
Time Unit	ns
Iterations	8

183.62 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183622695.75
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

331.24 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331237304.00
Time Unit	ns
Iterations	2

17.81 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17806135.22
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.22 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48218640.47
Time Unit	ns
Iterations	15

98.83 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98832084.00
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

383.81 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	383812286.00
Time Unit	ns
Iterations	2

116.87 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	116871219.67
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

389.44 ms

Name	ZK/PDL/Prover
Real Time	389435562.00
Time Unit	ns
Iterations	2

127.26 ms

Name	ZK/PDL/Verify
Real Time	127257054.60
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.10 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297100339.00
Time Unit	ns
Iterations	2

297.51 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	297511562.50
Time Unit	ns
Iterations	2

34.12 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

0.99 ms

Name	ZK/DL/Prover/3
Real Time	991320.61
Time Unit	ns
Iterations	701

0.76 ms

Name	ZK/DL/Verify/3
Real Time	762544.33
Time Unit	ns
Iterations	920

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.73 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1727126.66
Time Unit	ns
Iterations	403

2.18 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2177511.97
Time Unit	ns
Iterations	281

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

4.19 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	4189533.28
Time Unit	ns
Iterations	168

5.61 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5611718.49
Time Unit	ns
Iterations	127

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

13.08 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	13078897.37
Time Unit	ns
Iterations	54

27.92 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	27919898.40
Time Unit	ns
Iterations	25

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.92 ms

Name	ZK/DL/Prover/4
Real Time	917649.32
Time Unit	ns
Iterations	759

4.57 ms

Name	ZK/DL/Verify/4
Real Time	4572385.01
Time Unit	ns
Iterations	153

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.64 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1638921.48
Time Unit	ns
Iterations	436

15.04 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	15042394.30
Time Unit	ns
Iterations	47

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

4.09 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	4087482.15
Time Unit	ns
Iterations	170

49.49 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	49489716.86
Time Unit	ns
Iterations	14

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

12.81 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	12809630.50
Time Unit	ns
Iterations	54

277.54 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	277540051.67
Time Unit	ns
Iterations	3

4.55 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

Challenge

Challenge Size

Prove

Size

Verify

P Total

V Total

Interactive

0.00 ms

Name	ZK/ValidPaillier-Int/V1
Real Time	500.26
Time Unit	ns
Iterations	1000000

0.02 KB

Name
Real Time
Time Unit
Iterations

9.73 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9731740.61
Time Unit	ns
Iterations	71

1.03 KB

Name
Real Time
Time Unit
Iterations

9.25 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9246506.23
Time Unit	ns
Iterations	75

9.73 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9731740.61
Time Unit	ns
Iterations	71

9.25 ms

Name	sum
Real Time	9247006.49
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

23.40 ms

Name	ZK/ValidPaillier/Prover
Real Time	23398442.57
Time Unit	ns
Iterations	30

22.62 ms

Name	ZK/ValidPaillier/Verify
Real Time	22618520.68
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.47 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33465068.52
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	2014.71
Time Unit	ns
Iterations	347944

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierZero-Int/P3
Real Time	352616.40
Time Unit	ns
Iterations	1986

3.12 KB

Name
Real Time
Time Unit
Iterations

35.19 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35186452.40
Time Unit	ns
Iterations	20

33.82 ms

Name	sum
Real Time	33817684.92
Time Unit	ns
Iterations	-1

35.19 ms

Name	sum
Real Time	35188467.11
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

92.47 ms

Name	ZK/PaillierZero/Prover
Real Time	92472511.88
Time Unit	ns
Iterations	8

87.96 ms

Name	ZK/PaillierZero/Verify
Real Time	87955072.75
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.68 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35682633.79
Time Unit	ns
Iterations	19

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	588.61
Time Unit	ns
Iterations	1189275

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	707408.95
Time Unit	ns
Iterations	993

0.00 KB

Name
Real Time
Time Unit
Iterations

73.68 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73678308.44
Time Unit	ns
Iterations	9

36.39 ms

Name	sum
Real Time	36390042.74
Time Unit	ns
Iterations	-1

73.68 ms

Name	sum
Real Time	73678897.05
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

90.64 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90636678.50
Time Unit	ns
Iterations	8

183.62 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183622695.75
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	129584710.80
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	514.65
Time Unit	ns
Iterations	1368985

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	6208.20
Time Unit	ns
Iterations	110460

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	6389.95
Time Unit	ns
Iterations	106973

129.59 ms

Name	sum
Real Time	129590919.00
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	6904.60
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

331.24 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331237304.00
Time Unit	ns
Iterations	2

17.81 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17806135.22
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

20.47 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20467648.00
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	640.21
Time Unit	ns
Iterations	1089852

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	353847.30
Time Unit	ns
Iterations	1979

3.81 KB

Name
Real Time
Time Unit
Iterations

43.78 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43775963.69
Time Unit	ns
Iterations	16

20.82 ms

Name	sum
Real Time	20821495.30
Time Unit	ns
Iterations	-1

43.78 ms

Name	sum
Real Time	43776603.90
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

48.22 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48218640.47
Time Unit	ns
Iterations	15

98.83 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98832084.00
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.09 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10090241.13
Time Unit	ns
Iterations	69

6.30 ms

Name	PVE/vencrypt/Verify/0
Real Time	6296564.64
Time Unit	ns
Iterations	110

7.04 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7039592.75
Time Unit	ns
Iterations	99

Batch(4) - RSA2048

18.03 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18029741.08
Time Unit	ns
Iterations	39

13.90 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	13898740.92
Time Unit	ns
Iterations	50

14.75 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14752729.66
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

47.89 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	47891599.20
Time Unit	ns
Iterations	15

43.47 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43473710.44
Time Unit	ns
Iterations	16

44.28 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44282590.63
Time Unit	ns
Iterations	16

Basic - P-256

20.45 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	20449223.21
Time Unit	ns
Iterations	34

11.39 ms

Name	PVE/vencrypt/Verify/1
Real Time	11393452.15
Time Unit	ns
Iterations	61

11.55 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	11552021.66
Time Unit	ns
Iterations	61

Batch(4) - P-256

28.35 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	28348864.12
Time Unit	ns
Iterations	25

18.99 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	18994438.73
Time Unit	ns
Iterations	37

19.13 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	19133481.69
Time Unit	ns
Iterations	36

Batch(16) - P-256

58.10 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	58103250.08
Time Unit	ns
Iterations	12

48.28 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	48282719.93
Time Unit	ns
Iterations	14

48.95 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	48950769.00
Time Unit	ns
Iterations	14

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

359.62 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	359623744.50
Time Unit	ns
Iterations	2

213.08 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	213078692.00
Time Unit	ns
Iterations	3

221.83 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	221834997.20
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.22 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6215765.02
Time Unit	ns
Iterations	113

12.31 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12306828.82
Time Unit	ns
Iterations	57

24.49 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24491211.69
Time Unit	ns
Iterations	29

48.96 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	48964193.07
Time Unit	ns
Iterations	14

98.22 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	98217710.57
Time Unit	ns
Iterations	7

195.51 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195510444.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

25.11 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	25107846.57
Time Unit	ns
Iterations	28

49.66 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	49655150.57
Time Unit	ns
Iterations	14

99.75 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	99749056.43
Time Unit	ns
Iterations	7

198.38 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	198383360.00
Time Unit	ns
Iterations	4

396.19 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	396188856.00
Time Unit	ns
Iterations	2

790.69 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	790687452.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.46 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3464831.06
Time Unit	ns
Iterations	202

6.93 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6930279.06
Time Unit	ns
Iterations	101

13.86 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13858537.12
Time Unit	ns
Iterations	50

27.69 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27694928.24
Time Unit	ns
Iterations	25

55.19 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55188658.69
Time Unit	ns
Iterations	13

110.53 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	110527125.33
Time Unit	ns
Iterations	6

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

Number of OTs

2048

4096

65536

Step 1 (S → R)

21.45 ms

Name	MPC/OT/FullOT/Step1_S2R/2048
Real Time	21446191.21
Time Unit	ns
Iterations	33

21.52 ms

Name	MPC/OT/FullOT/Step1_S2R/4096
Real Time	21518196.55
Time Unit	ns
Iterations	33

21.43 ms

Name	MPC/OT/FullOT/Step1_S2R/65536
Real Time	21434250.06
Time Unit	ns
Iterations	33

Step 2 (R → S)

108.79 ms

Name	MPC/OT/FullOT/Step2_R2S/2048
Real Time	108787200.50
Time Unit	ns
Iterations	6

109.65 ms

Name	MPC/OT/FullOT/Step2_R2S/4096
Real Time	109645479.83
Time Unit	ns
Iterations	6

140.81 ms

Name	MPC/OT/FullOT/Step2_R2S/65536
Real Time	140812712.00
Time Unit	ns
Iterations	5

Step 3 (S → R)

125.56 ms

Name	MPC/OT/FullOT/Step3_S2R/2048
Real Time	125557992.83
Time Unit	ns
Iterations	6

129.57 ms

Name	MPC/OT/FullOT/Step3_S2R/4096
Real Time	129574325.40
Time Unit	ns
Iterations	5

255.21 ms

Name	MPC/OT/FullOT/Step3_S2R/65536
Real Time	255208037.00
Time Unit	ns
Iterations	3

Step 4 (R output)

126.58 ms

Name	MPC/OT/FullOT/OutputR/2048
Real Time	126583503.33
Time Unit	ns
Iterations	6

131.16 ms

Name	MPC/OT/FullOT/OutputR/4096
Real Time	131156367.40
Time Unit	ns
Iterations	5

280.06 ms

Name	MPC/OT/FullOT/OutputR/65536
Real Time	280058461.50
Time Unit	ns
Iterations	2

Agree Random - 256 bits

msg

Total Time

round 1

65.30 μs

Name	AgreeRandom-2P/1/1/256
Real Time	65297.77
Time Unit	ns
Iterations	10000

36.99 μs

Name	AgreeRandom-2P/1/2/256
Real Time	36986.85
Time Unit	ns
Iterations	10000

message 1

round 2

0.61 μs

Name	AgreeRandom-2P/2/1/256
Real Time	606.92
Time Unit	ns
Iterations	10000

8.70 μs

Name	AgreeRandom-2P/2/2/256
Real Time	8698.18
Time Unit	ns
Iterations	10000

message 2

round 3

0.38 μs

Name	AgreeRandom-2P/3/1/256
Real Time	383.95
Time Unit	ns
Iterations	10000

0.39 μs

Name	AgreeRandom-2P/3/2/256
Real Time	388.80
Time Unit	ns
Iterations	10000

message 3

Output Round

40.49 μs

Name	AgreeRandom-2P/4/1/256
Real Time	40486.20
Time Unit	ns
Iterations	10000

46.78 μs

Name	AgreeRandom-2P/4/2/256
Real Time	46783.65
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

65.41 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	65412.34
Time Unit	ns
Iterations	10000

37.43 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	37428.02
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	615.21
Time Unit	ns
Iterations	10000

8.87 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	8867.65
Time Unit	ns
Iterations	10000

message 2

round 3

0.48 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	479.76
Time Unit	ns
Iterations	10000

0.47 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	468.26
Time Unit	ns
Iterations	10000

message 3

Output Round

38.77 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	38770.30
Time Unit	ns
Iterations	10000

48.55 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	48554.47
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

65.42 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	65424.08
Time Unit	ns
Iterations	10000

37.48 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	37475.82
Time Unit	ns
Iterations	10000

message 1

round 2

0.63 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	628.54
Time Unit	ns
Iterations	10000

8.89 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	8894.63
Time Unit	ns
Iterations	10000

message 2

round 3

0.51 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	511.50
Time Unit	ns
Iterations	10000

0.64 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	642.27
Time Unit	ns
Iterations	10000

message 3

Output Round

39.38 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	39376.29
Time Unit	ns
Iterations	10000

48.57 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	48573.12
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

58.31 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	58310.97
Time Unit	ns
Iterations	10000

36.71 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	36712.90
Time Unit	ns
Iterations	10000

message 1

round 2

0.52 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	515.87
Time Unit	ns
Iterations	10000

8.63 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	8632.67
Time Unit	ns
Iterations	10000

message 2

Output Round

52.18 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	52180.96
Time Unit	ns
Iterations	10000

41.27 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	41274.68
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

59.54 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	59537.31
Time Unit	ns
Iterations	10000

36.69 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	36693.54
Time Unit	ns
Iterations	10000

message 1

round 2

0.53 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	528.19
Time Unit	ns
Iterations	10000

8.68 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	8678.88
Time Unit	ns
Iterations	10000

message 2

Output Round

54.72 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	54722.04
Time Unit	ns
Iterations	10000

44.21 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	44211.08
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

58.55 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	58554.60
Time Unit	ns
Iterations	10000

37.23 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	37227.43
Time Unit	ns
Iterations	10000

message 1

round 2

0.52 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	521.60
Time Unit	ns
Iterations	10000

8.68 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	8677.92
Time Unit	ns
Iterations	10000

message 2

Output Round

55.77 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	55765.84
Time Unit	ns
Iterations	10000

44.45 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	44447.26
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

58.89 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	58891.55
Time Unit	ns
Iterations	10000

37.78 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	37783.90
Time Unit	ns
Iterations	10000

message 1

round 2

0.66 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	661.01
Time Unit	ns
Iterations	10000

8.81 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	8808.80
Time Unit	ns
Iterations	10000

message 2

Output Round

53.63 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	53634.03
Time Unit	ns
Iterations	10000

41.53 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	41534.71
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

59.85 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	59850.54
Time Unit	ns
Iterations	10000

36.90 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	36902.10
Time Unit	ns
Iterations	10000

message 1

round 2

0.61 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	611.03
Time Unit	ns
Iterations	10000

8.80 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	8799.78
Time Unit	ns
Iterations	10000

message 2

Output Round

54.06 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	54056.77
Time Unit	ns
Iterations	10000

44.81 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	44808.97
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	97714.50
Time Unit	ns
Iterations	10

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	57697.30
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	746.40
Time Unit	ns
Iterations	10

1.12 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1120611.70
Time Unit	ns
Iterations	10

message 2

round 3

8.14 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	8141566.50
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2031.60
Time Unit	ns
Iterations	10

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	62530.70
Time Unit	ns
Iterations	10

7.09 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	7093998.20
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.07 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	69571.28
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	38563.22
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	748.23
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	9097.67
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	447.44
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	495.67
Time Unit	ns
Iterations	200

message 3

Output Round

0.04 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	41456.52
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	49189.77
Time Unit	ns
Iterations	200

Sign - #Msg=1

msg

Total Time

round 1

0.09 ms

Name	Schnorr-2PC-Sign-2P/1/1/1
Real Time	88074.10
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	43975.02
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	807.16
Time Unit	ns
Iterations	50

1.55 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1552793.48
Time Unit	ns
Iterations	50

message 2

round 3

11.00 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	11004253.00
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	1865.54
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	19232.00
Time Unit	ns
Iterations	50

9.49 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9492424.84
Time Unit	ns
Iterations	50

message 4

Output Round

0.23 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	228442.76
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	77343.72
Time Unit	ns
Iterations	50

Sign - #Msg=4

msg

Total Time

round 1

0.15 ms

Name	Schnorr-2PC-Sign-2P/1/1/4
Real Time	150757.78
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	40677.42
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	886.24
Time Unit	ns
Iterations	50

2.03 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	2030667.52
Time Unit	ns
Iterations	50

message 2

round 3

20.30 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	20303152.10
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2341.54
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	52260.00
Time Unit	ns
Iterations	50

18.51 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18507272.22
Time Unit	ns
Iterations	50

message 4

Output Round

0.66 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	660411.10
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	71874.70
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.42 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	421375.54
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	41933.80
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	836.36
Time Unit	ns
Iterations	50

4.94 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4936507.10
Time Unit	ns
Iterations	50

message 2

round 3

58.71 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	58710503.22
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2350.42
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	185765.76
Time Unit	ns
Iterations	50

54.34 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	54342684.92
Time Unit	ns
Iterations	50

message 4

Output Round

2.22 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2222963.30
Time Unit	ns
Iterations	50

0.11 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	107969.02
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

195.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	195074770.65
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	64689.55
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2036.75
Time Unit	ns
Iterations	20

1.16 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1161316.80
Time Unit	ns
Iterations	20

message 2

round 3

17.26 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17259622.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	1909.45
Time Unit	ns
Iterations	20

message 3

Output Round

0.13 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	133484.55
Time Unit	ns
Iterations	20

77.41 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	77408110.55
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

94.55 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	94554026.55
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	43516.50
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1530.35
Time Unit	ns
Iterations	20

0.31 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	308356.10
Time Unit	ns
Iterations	20

message 2

round 3

10.75 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10746051.85
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1053.05
Time Unit	ns
Iterations	20

message 3

Output Round

0.10 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	96404.10
Time Unit	ns
Iterations	20

85.82 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85824514.75
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.61 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1605621.15
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	45719.70
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	635.60
Time Unit	ns
Iterations	20

1.55 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1545946.75
Time Unit	ns
Iterations	20

message 2

round 3

1.94 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1942346.50
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2761.15
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	3831.10
Time Unit	ns
Iterations	20

43.12 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	43120847.80
Time Unit	ns
Iterations	20

message 4

Output Round

23.61 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23607632.75
Time Unit	ns
Iterations	20

0.10 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	95325.30
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.09 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	2094644.40
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	43105.95
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	668.25
Time Unit	ns
Iterations	20

2.02 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	2022480.35
Time Unit	ns
Iterations	20

message 2

round 3

2.87 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2869488.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2470.60
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	4140.10
Time Unit	ns
Iterations	20

166.55 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	166547697.90
Time Unit	ns
Iterations	20

message 4

Output Round

93.53 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	93534700.20
Time Unit	ns
Iterations	20

0.12 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	120183.75
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.92 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4919154.50
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	48782.75
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	611.00
Time Unit	ns
Iterations	20

5.11 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	5112716.85
Time Unit	ns
Iterations	20

message 2

round 3

6.84 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6838313.80
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3056.85
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	5291.85
Time Unit	ns
Iterations	20

661.99 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	661988710.90
Time Unit	ns
Iterations	20

message 4

Output Round

374.95 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	374947102.45
Time Unit	ns
Iterations	20

0.18 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	183495.45
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.60 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1604132.85
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	45831.45
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	702.90
Time Unit	ns
Iterations	20

1.54 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1540958.80
Time Unit	ns
Iterations	20

message 2

round 3

1.95 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1950842.65
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2358.95
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	3699.00
Time Unit	ns
Iterations	20

13.02 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13021313.00
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

2.07 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2070605.60
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	50167.45
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	740.85
Time Unit	ns
Iterations	20

2.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	2053370.50
Time Unit	ns
Iterations	20

message 2

round 3

2.87 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2869850.25
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	1781.35
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	3803.75
Time Unit	ns
Iterations	20

47.09 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47086340.10
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

4.90 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4898366.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	47543.85
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	607.25
Time Unit	ns
Iterations	20

4.92 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4919126.20
Time Unit	ns
Iterations	20

message 2

round 3

6.99 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6988048.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	2861.85
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	4888.50
Time Unit	ns
Iterations	20

183.29 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	183285326.70
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

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	243485.00
Time Unit	ns
Iterations	1

0.20 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	201194.00
Time Unit	ns
Iterations	1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	236905.00
Time Unit	ns
Iterations	1

0.21 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	209231.00
Time Unit	ns
Iterations	1

message 1

round 2

1.60 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1599233.00
Time Unit	ns
Iterations	1

1.61 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1610023.00
Time Unit	ns
Iterations	1

1.72 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1723716.00
Time Unit	ns
Iterations	1

1.57 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1572502.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.96 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20960534.00
Time Unit	ns
Iterations	1

20.96 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20962325.00
Time Unit	ns
Iterations	1

20.97 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20974773.00
Time Unit	ns
Iterations	1

21.16 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	21160734.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.77 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4765099.90
Time Unit	ns
Iterations	10

4.77 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4770776.60
Time Unit	ns
Iterations	10

4.76 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4756391.10
Time Unit	ns
Iterations	10

4.74 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4743752.00
Time Unit	ns
Iterations	10

message 1

round 2

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2620798.10
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2634240.20
Time Unit	ns
Iterations	10

2.61 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2614182.20
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2617477.60
Time Unit	ns
Iterations	10

message 2

Output Round

71.28 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	71282192.50
Time Unit	ns
Iterations	10

71.31 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	71307972.90
Time Unit	ns
Iterations	10

71.40 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	71396530.10
Time Unit	ns
Iterations	10

71.44 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	71441341.80
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	251149.80
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	245738.30
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	250726.00
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	249595.20
Time Unit	ns
Iterations	10

message 1

round 2

2.60 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2602235.80
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2594362.50
Time Unit	ns
Iterations	10

2.66 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2659279.00
Time Unit	ns
Iterations	10

2.65 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2646219.50
Time Unit	ns
Iterations	10

message 2

round 3

46.29 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	46293859.10
Time Unit	ns
Iterations	10

46.76 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	46760061.00
Time Unit	ns
Iterations	10

46.19 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	46192965.60
Time Unit	ns
Iterations	10

47.00 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	47003052.70
Time Unit	ns
Iterations	10

message 3

Output Round

0.52 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	523954.10
Time Unit	ns
Iterations	10

0.14 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	135103.60
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	133427.10
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	130140.70
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	178676.40
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	169380.90
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	174006.60
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	172254.00
Time Unit	ns
Iterations	10

message 1

round 2

1.34 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1340041.10
Time Unit	ns
Iterations	10

1.32 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1321634.30
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1345880.50
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1348094.20
Time Unit	ns
Iterations	10

message 2

Output Round

3.22 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3220518.10
Time Unit	ns
Iterations	10

3.22 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3217416.90
Time Unit	ns
Iterations	10

3.21 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3207626.80
Time Unit	ns
Iterations	10

3.22 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3215501.30
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.74 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4740594.80
Time Unit	ns
Iterations	10

4.67 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4667739.60
Time Unit	ns
Iterations	10

4.78 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4778868.10
Time Unit	ns
Iterations	10

4.70 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4695975.10
Time Unit	ns
Iterations	10

message 1

round 2

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1144035.40
Time Unit	ns
Iterations	10

1.32 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1319683.70
Time Unit	ns
Iterations	10

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1143577.70
Time Unit	ns
Iterations	10

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1142628.60
Time Unit	ns
Iterations	10

message 2

Output Round

10.98 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	10977078.60
Time Unit	ns
Iterations	10

10.97 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	10965953.20
Time Unit	ns
Iterations	10

10.95 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	10950163.80
Time Unit	ns
Iterations	10

11.80 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11796388.00
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	210859.40
Time Unit	ns
Iterations	10

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	214474.30
Time Unit	ns
Iterations	10

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	213905.00
Time Unit	ns
Iterations	10

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	212619.90
Time Unit	ns
Iterations	10

message 1

round 2

69.27 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69267305.60
Time Unit	ns
Iterations	10

46.65 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46649977.40
Time Unit	ns
Iterations	10

24.02 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24021888.50
Time Unit	ns
Iterations	10

1.40 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1399741.70
Time Unit	ns
Iterations	10

message 2

round 3

3.13 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3126544.60
Time Unit	ns
Iterations	10

95.87 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	95874953.80
Time Unit	ns
Iterations	10

187.39 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	187390078.60
Time Unit	ns
Iterations	10

279.94 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	279942809.70
Time Unit	ns
Iterations	10

message 3

round 4

72.22 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	72222551.10
Time Unit	ns
Iterations	10

51.53 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	51529916.30
Time Unit	ns
Iterations	10

29.04 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	29036815.30
Time Unit	ns
Iterations	10

6.58 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6584401.50
Time Unit	ns
Iterations	10

message 4

round 5

9.69 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9692335.80
Time Unit	ns
Iterations	10

12.30 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12304986.90
Time Unit	ns
Iterations	10

14.75 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	14752760.30
Time Unit	ns
Iterations	10

17.91 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17909552.20
Time Unit	ns
Iterations	10

message 5

round 6

11.45 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11451356.20
Time Unit	ns
Iterations	10

10.00 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	9998253.30
Time Unit	ns
Iterations	10

9.19 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9188386.80
Time Unit	ns
Iterations	10

7.57 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7572096.20
Time Unit	ns
Iterations	10

message 6

round 7

21.25 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21246971.30
Time Unit	ns
Iterations	10

21.52 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	21522482.60
Time Unit	ns
Iterations	10

21.47 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21474297.20
Time Unit	ns
Iterations	10

21.31 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	21307644.00
Time Unit	ns
Iterations	10

message 7

round 8

9.55 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9550716.40
Time Unit	ns
Iterations	10

9.28 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9282354.00
Time Unit	ns
Iterations	10

9.26 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9258571.00
Time Unit	ns
Iterations	10

9.24 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9242369.40
Time Unit	ns
Iterations	10

message 8

round 9

2.85 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2846809.20
Time Unit	ns
Iterations	10

2.83 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2830004.10
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2762698.00
Time Unit	ns
Iterations	10

2.79 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2787809.50
Time Unit	ns
Iterations	10

message 9

Output Round

3.10 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	3095768.00
Time Unit	ns
Iterations	10

2.08 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	2078118.90
Time Unit	ns
Iterations	10

2.24 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	2242862.00
Time Unit	ns
Iterations	10

2.23 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	2228241.50
Time Unit	ns
Iterations	10

Benchmark Context

Basic Operation

Big Number

Elliptic Curve

Crypto -- Symmetric

Symmetric

Crypto - Public Key Encryption

ElGamal Commitment

Paillier

TDH2

Crypto -- DRBG

String

Number

Curve

Commitment

HMAC

Pedersen

ElGamal

Secret Sharing

Shamir Secret Sharing

Horner's rule

Lagrange interpolation

Zero Knowledge

Non-interactive Zero Knowledge

Batched UC ZK-DL

Valid Paillier

Paillier Zero

Two Paillier Equal

Range Pedersen

Paillier Pedersen Equal

PVE (Publicly Verifiable Encryption)

PVE

OT (Oblivious Transfer)

Base OT

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

2PC - Agree Random / Sid Generation

EdDSA 2PC

ECDSA 2PC

EdDSA MPC

ECDSA MPC