Benchmark Context

Date: 2026-08-31T14:56:43+00:00
Commit: 2f2c4f1005729bd575b6f17bce8a47478df7ce78
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 4201

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.05 μs

Name	Core/BN/ModAdd/256
Real Time	50.79
Time Unit	ns
Iterations	13665441

0.06 μs

Name	Core/BN/ModAdd/512
Real Time	64.22
Time Unit	ns
Iterations	10820618

0.10 μs

Name	Core/BN/ModAdd/1024
Real Time	98.25
Time Unit	ns
Iterations	7125352

0.24 μs

Name	Core/BN/ModAdd/2048
Real Time	241.90
Time Unit	ns
Iterations	3133537

0.36 μs

Name	Core/BN/ModAdd/4096
Real Time	361.22
Time Unit	ns
Iterations	1932237

Mod Sub

0.05 μs

Name	Core/BN/ModSubtract/256
Real Time	48.84
Time Unit	ns
Iterations	14256806

0.07 μs

Name	Core/BN/ModSubtract/512
Real Time	66.47
Time Unit	ns
Iterations	10597912

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	109.00
Time Unit	ns
Iterations	6362608

0.25 μs

Name	Core/BN/ModSubtract/2048
Real Time	251.92
Time Unit	ns
Iterations	2888303

0.43 μs

Name	Core/BN/ModSubtract/4096
Real Time	426.63
Time Unit	ns
Iterations	1719655

Mod Mul

0.10 μs

Name	Core/BN/ModMultiply/256
Real Time	103.56
Time Unit	ns
Iterations	6825384

0.22 μs

Name	Core/BN/ModMultiply/512
Real Time	219.14
Time Unit	ns
Iterations	3651523

0.50 μs

Name	Core/BN/ModMultiply/1024
Real Time	502.65
Time Unit	ns
Iterations	1395159

1.81 μs

Name	Core/BN/ModMultiply/2048
Real Time	1813.62
Time Unit	ns
Iterations	384284

7.68 μs

Name	Core/BN/ModMultiply/4096
Real Time	7680.17
Time Unit	ns
Iterations	91400

Mod Exponentiate

9.64 μs

Name	Core/BN/ModExponentiate/256
Real Time	9640.92
Time Unit	ns
Iterations	72774

31.71 μs

Name	Core/BN/ModExponentiate/512
Real Time	31713.94
Time Unit	ns
Iterations	21795

233.97 μs

Name	Core/BN/ModExponentiate/1024
Real Time	233965.22
Time Unit	ns
Iterations	2912

1575.49 μs

Name	Core/BN/ModExponentiate/2048
Real Time	1575490.02
Time Unit	ns
Iterations	443

12247.73 μs

Name	Core/BN/ModExponentiate/4096
Real Time	12247732.98
Time Unit	ns
Iterations	57

Mod Invert

10.11 μs

Name	Core/BN/ModInvert/256
Real Time	10111.30
Time Unit	ns
Iterations	69172

21.67 μs

Name	Core/BN/ModInvert/512
Real Time	21670.30
Time Unit	ns
Iterations	32321

51.34 μs

Name	Core/BN/ModInvert/1024
Real Time	51342.90
Time Unit	ns
Iterations	13593

139.74 μs

Name	Core/BN/ModInvert/2048
Real Time	139740.65
Time Unit	ns
Iterations	5030

500.19 μs

Name	Core/BN/ModInvert/4096
Real Time	500187.56
Time Unit	ns
Iterations	1000

GCD

14.99 μs

Name	Core/BN/GCD/256
Real Time	14994.38
Time Unit	ns
Iterations	44926

37.75 μs

Name	Core/BN/GCD/512
Real Time	37750.75
Time Unit	ns
Iterations	18178

107.17 μs

Name	Core/BN/GCD/1024
Real Time	107168.79
Time Unit	ns
Iterations	6500

335.26 μs

Name	Core/BN/GCD/2048
Real Time	335260.15
Time Unit	ns
Iterations	2099

1570.16 μs

Name	Core/BN/GCD/4096
Real Time	1570160.11
Time Unit	ns
Iterations	511

GCD with RSA Modulus

15.44 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	15441.67
Time Unit	ns
Iterations	43466

44.90 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	44898.67
Time Unit	ns
Iterations	17543

122.57 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	122569.66
Time Unit	ns
Iterations	5671

333.14 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	333137.39
Time Unit	ns
Iterations	1937

1338.26 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1338263.76
Time Unit	ns
Iterations	520

Batch(16) GCD with RSA Modulus

16.57 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	16566.64
Time Unit	ns
Iterations	41249

40.64 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	40635.89
Time Unit	ns
Iterations	16857

129.56 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	129556.68
Time Unit	ns
Iterations	6000

361.98 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	361978.28
Time Unit	ns
Iterations	1749

1455.20 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1455197.10
Time Unit	ns
Iterations	480

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.22 μs

Name	Core/EC/Add/secp256k1
Real Time	217.30
Time Unit	ns
Iterations	3222566

0.25 μs

Name	Core/EC/Add/Ed25519
Real Time	245.84
Time Unit	ns
Iterations	3097516

Add (Constant Time)

1.83 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	1830.98
Time Unit	ns
Iterations	396665

0.22 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	224.91
Time Unit	ns
Iterations	3108381

Multiply

25.25 μs

Name	Core/EC/Multiply/secp256k1
Real Time	25252.58
Time Unit	ns
Iterations	27587

49.06 μs

Name	Core/EC/Multiply/Ed25519
Real Time	49063.92
Time Unit	ns
Iterations	16109

Multiply (Variable Time)

21.85 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	21853.49
Time Unit	ns
Iterations	32420

42.24 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	42235.40
Time Unit	ns
Iterations	16176

Multiply Generator

12.56 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	12563.92
Time Unit	ns
Iterations	53862

9.05 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	9049.06
Time Unit	ns
Iterations	77452

Multipliply Generator (Variable Time)

11.22 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	11219.51
Time Unit	ns
Iterations	62494

4.68 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	4683.97
Time Unit	ns
Iterations	151651

MulAdd

38.39 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	38388.57
Time Unit	ns
Iterations	18148

52.71 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	52712.49
Time Unit	ns
Iterations	13297

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.25 μs

Name	Core/Hash/SHA256/16
Real Time	245.47
Time Unit	ns
Iterations	2686805

0.24 μs

Name	Core/Hash/SHA256/64
Real Time	237.85
Time Unit	ns
Iterations	2944317

0.35 μs

Name	Core/Hash/SHA256/256
Real Time	345.92
Time Unit	ns
Iterations	2110461

0.71 μs

Name	Core/Hash/SHA256/1024
Real Time	709.78
Time Unit	ns
Iterations	984158

2.30 μs

Name	Core/Hash/SHA256/4096
Real Time	2298.64
Time Unit	ns
Iterations	308044

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.73 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	734.15
Time Unit	ns
Iterations	952213

0.76 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	759.56
Time Unit	ns
Iterations	917181

0.86 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	856.38
Time Unit	ns
Iterations	816586

1.23 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1231.14
Time Unit	ns
Iterations	564624

2.76 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	2762.03
Time Unit	ns
Iterations	253074

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

0.46 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	458.41
Time Unit	ns
Iterations	1529159

0.63 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	627.72
Time Unit	ns
Iterations	1116549

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

0.47 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	472.84
Time Unit	ns
Iterations	1476264

0.68 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	675.27
Time Unit	ns
Iterations	1040109

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

50.72 μs

Name	BP/ElGamal/Commit/3
Real Time	50715.09
Time Unit	ns
Iterations	13793

62.78 μs

Name	BP/ElGamal/Commit/4
Real Time	62775.09
Time Unit	ns
Iterations	11185

Rerand

43.78 μs

Name	BP/ElGamal/Rerand/3
Real Time	43784.00
Time Unit	ns
Iterations	17138

52.66 μs

Name	BP/ElGamal/Rerand/4
Real Time	52661.17
Time Unit	ns
Iterations	13304

Add

3.54 μs

Name	BP/ElGamal/Add/3
Real Time	3544.40
Time Unit	ns
Iterations	197958

0.49 μs

Name	BP/ElGamal/Add/4
Real Time	488.24
Time Unit	ns
Iterations	1427372

Add Scalar

13.33 μs

Name	BP/ElGamal/AddScalar/3
Real Time	13325.52
Time Unit	ns
Iterations	60501

5.02 μs

Name	BP/ElGamal/AddScalar/4
Real Time	5019.94
Time Unit	ns
Iterations	120572

Mul Scalar

50.92 μs

Name	BP/ElGamal/MulScalar/3
Real Time	50918.60
Time Unit	ns
Iterations	13824

87.47 μs

Name	BP/ElGamal/MulScalar/4
Real Time	87467.59
Time Unit	ns
Iterations	7938

Paillier

Operation \ Bit length

2048 bits

Generate Key

49.88 ms

Name	BP/Paillier/Gen
Real Time	49881254.19
Time Unit	ns
Iterations	26

Encrypt (with private key)

3.37 ms

Name	BP/Paillier/Enc
Real Time	3367386.93
Time Unit	ns
Iterations	187

Encrypt

6.33 ms

Name	BP/Paillier/Pub-Enc
Real Time	6325224.43
Time Unit	ns
Iterations	111

Decrypt

3.38 ms

Name	BP/Paillier/Dec
Real Time	3377170.58
Time Unit	ns
Iterations	209

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	7695.02
Time Unit	ns
Iterations	90305

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	9340.57
Time Unit	ns
Iterations	75126

Mul-Scalar

6.17 ms

Name	BP/Paillier/Mul-Scalar
Real Time	6171968.83
Time Unit	ns
Iterations	113

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

153.71 μs

Name	tdh2-encrypt-1P/4/256
Real Time	153708.48
Time Unit	ns
Iterations	4528

153.68 μs

Name	tdh2-encrypt-1P/30/256
Real Time	153675.28
Time Unit	ns
Iterations	4552

201.02 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	201017.93
Time Unit	ns
Iterations	3480

201.25 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	201247.07
Time Unit	ns
Iterations	3483

Verify

159.11 μs

Name	tdh2-verify-1P/4/256
Real Time	159111.42
Time Unit	ns
Iterations	4391

160.03 μs

Name	tdh2-verify-1P/30/256
Real Time	160025.99
Time Unit	ns
Iterations	4403

215.09 μs

Name	tdh2-verify-1P/4/65536
Real Time	215086.18
Time Unit	ns
Iterations	3663

205.18 μs

Name	tdh2-verify-1P/30/65536
Real Time	205181.06
Time Unit	ns
Iterations	3662

Local Decrypt

259.11 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	259107.10
Time Unit	ns
Iterations	2585

270.03 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	270025.20
Time Unit	ns
Iterations	2658

303.64 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	303642.02
Time Unit	ns
Iterations	2413

291.18 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	291182.46
Time Unit	ns
Iterations	2413

Combine

731.55 μs

Name	tdh2-combine-1P/4/256
Real Time	731553.29
Time Unit	ns
Iterations	959

4670.02 μs

Name	tdh2-combine-1P/30/256
Real Time	4670020.42
Time Unit	ns
Iterations	156

789.26 μs

Name	tdh2-combine-1P/4/65536
Real Time	789255.56
Time Unit	ns
Iterations	901

4452.63 μs

Name	tdh2-combine-1P/30/65536
Real Time	4452627.49
Time Unit	ns
Iterations	158

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

0.84 μs

Name	Crypto/DRBG/String/1024
Real Time	835.24
Time Unit	ns
Iterations	830551

0.83 μs

Name	Crypto/DRBG/String/2048
Real Time	832.85
Time Unit	ns
Iterations	840296

0.90 μs

Name	Crypto/DRBG/String/4096
Real Time	900.38
Time Unit	ns
Iterations	778010

1.03 μs

Name	Crypto/DRBG/String/8192
Real Time	1029.56
Time Unit	ns
Iterations	681711

1.30 μs

Name	Crypto/DRBG/String/16384
Real Time	1303.49
Time Unit	ns
Iterations	534078

1.83 μs

Name	Crypto/DRBG/String/32768
Real Time	1834.49
Time Unit	ns
Iterations	383014

2.92 μs

Name	Crypto/DRBG/String/65536
Real Time	2915.43
Time Unit	ns
Iterations	242630

5.25 μs

Name	Crypto/DRBG/String/131072
Real Time	5245.99
Time Unit	ns
Iterations	139584

9.51 μs

Name	Crypto/DRBG/String/262144
Real Time	9513.22
Time Unit	ns
Iterations	64404

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

0.94 μs

Name	Crypto/DRBG/Number/256
Real Time	944.06
Time Unit	ns
Iterations	730228

1.01 μs

Name	Crypto/DRBG/Number/512
Real Time	1009.30
Time Unit	ns
Iterations	685213

1.32 μs

Name	Crypto/DRBG/Number/1024
Real Time	1317.58
Time Unit	ns
Iterations	613853

1.42 μs

Name	Crypto/DRBG/Number/2048
Real Time	1417.72
Time Unit	ns
Iterations	484662

2.22 μs

Name	Crypto/DRBG/Number/4096
Real Time	2223.98
Time Unit	ns
Iterations	351057

Curve

secp256k1

Ed25519

DRBG-Curve

12.60 μs

Name	Crypto/DRBG/Curve/3
Real Time	12598.04
Time Unit	ns
Iterations	55873

10.27 μs

Name	Crypto/DRBG/Curve/4
Real Time	10272.27
Time Unit	ns
Iterations	67368

HMAC

#big number

Commit

1.40 μs

Name	Crypto/Commitment/ComBn/2
Real Time	1396.03
Time Unit	ns
Iterations	501673

1.59 μs

Name	Crypto/Commitment/ComBn/4
Real Time	1590.31
Time Unit	ns
Iterations	439936

1.82 μs

Name	Crypto/Commitment/ComBn/6
Real Time	1819.72
Time Unit	ns
Iterations	384851

2.00 μs

Name	Crypto/Commitment/ComBn/8
Real Time	2000.72
Time Unit	ns
Iterations	351287

2.18 μs

Name	Crypto/Commitment/ComBn/10
Real Time	2176.55
Time Unit	ns
Iterations	322112

2.36 μs

Name	Crypto/Commitment/ComBn/12
Real Time	2361.33
Time Unit	ns
Iterations	296480

2.54 μs

Name	Crypto/Commitment/ComBn/14
Real Time	2541.77
Time Unit	ns
Iterations	275534

2.76 μs

Name	Crypto/Commitment/ComBn/16
Real Time	2758.95
Time Unit	ns
Iterations	256277

3.11 μs

Name	Crypto/Commitment/ComBn/18
Real Time	3109.86
Time Unit	ns
Iterations	239034

3.57 μs

Name	Crypto/Commitment/ComBn/20
Real Time	3571.37
Time Unit	ns
Iterations	197457

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

50.72 μs

Name	BP/ElGamal/Commit/3
Real Time	50715.09
Time Unit	ns
Iterations	13793

62.78 μs

Name	BP/ElGamal/Commit/4
Real Time	62775.09
Time Unit	ns
Iterations	11185

Rerand

43.78 μs

Name	BP/ElGamal/Rerand/3
Real Time	43784.00
Time Unit	ns
Iterations	17138

52.66 μs

Name	BP/ElGamal/Rerand/4
Real Time	52661.17
Time Unit	ns
Iterations	13304

Add

3.54 μs

Name	BP/ElGamal/Add/3
Real Time	3544.40
Time Unit	ns
Iterations	197958

0.49 μs

Name	BP/ElGamal/Add/4
Real Time	488.24
Time Unit	ns
Iterations	1427372

Add Scalar

13.33 μs

Name	BP/ElGamal/AddScalar/3
Real Time	13325.52
Time Unit	ns
Iterations	60501

5.02 μs

Name	BP/ElGamal/AddScalar/4
Real Time	5019.94
Time Unit	ns
Iterations	120572

Mul Scalar

50.92 μs

Name	BP/ElGamal/MulScalar/3
Real Time	50918.60
Time Unit	ns
Iterations	13824

87.47 μs

Name	BP/ElGamal/MulScalar/4
Real Time	87467.59
Time Unit	ns
Iterations	7938

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

0.36 μs

Name	BP/Share/Horner/3
Real Time	358.68
Time Unit	ns
Iterations	1945892

0.52 μs

Name	BP/Share/Horner/4
Real Time	520.08
Time Unit	ns
Iterations	1337948

0.84 μs

Name	BP/Share/Horner/6
Real Time	839.75
Time Unit	ns
Iterations	829375

1.16 μs

Name	BP/Share/Horner/8
Real Time	1163.90
Time Unit	ns
Iterations	602463

1.62 μs

Name	BP/Share/Horner/10
Real Time	1624.37
Time Unit	ns
Iterations	458390

2.46 μs

Name	BP/Share/Horner/16
Real Time	2460.63
Time Unit	ns
Iterations	286725

5.01 μs

Name	BP/Share/Horner/32
Real Time	5009.33
Time Unit	ns
Iterations	139634

secp256k1

51.23 μs

Name	BP/Share/ECHorner/3/3
Real Time	51228.50
Time Unit	ns
Iterations	13706

81.61 μs

Name	BP/Share/ECHorner/3/4
Real Time	81605.03
Time Unit	ns
Iterations	9140

148.52 μs

Name	BP/Share/ECHorner/3/6
Real Time	148517.80
Time Unit	ns
Iterations	4715

203.59 μs

Name	BP/Share/ECHorner/3/8
Real Time	203590.31
Time Unit	ns
Iterations	3920

229.73 μs

Name	BP/Share/ECHorner/3/10
Real Time	229733.48
Time Unit	ns
Iterations	3042

382.63 μs

Name	BP/Share/ECHorner/3/16
Real Time	382632.28
Time Unit	ns
Iterations	1805

841.70 μs

Name	BP/Share/ECHorner/3/32
Real Time	841704.03
Time Unit	ns
Iterations	885

Ed25519

86.31 μs

Name	BP/Share/ECHorner/4/3
Real Time	86305.94
Time Unit	ns
Iterations	8103

153.11 μs

Name	BP/Share/ECHorner/4/4
Real Time	153114.76
Time Unit	ns
Iterations	4642

239.25 μs

Name	BP/Share/ECHorner/4/6
Real Time	239254.37
Time Unit	ns
Iterations	2787

301.53 μs

Name	BP/Share/ECHorner/4/8
Real Time	301530.69
Time Unit	ns
Iterations	2148

387.49 μs

Name	BP/Share/ECHorner/4/10
Real Time	387487.48
Time Unit	ns
Iterations	1807

647.19 μs

Name	BP/Share/ECHorner/4/16
Real Time	647188.56
Time Unit	ns
Iterations	1085

1385.97 μs

Name	BP/Share/ECHorner/4/32
Real Time	1385973.69
Time Unit	ns
Iterations	446

Lagrange interpolation

m\n

256 bit field

31.49 μs

Name	BP/Share/Lagrange/3
Real Time	31490.46
Time Unit	ns
Iterations	25486

45.48 μs

Name	BP/Share/Lagrange/4
Real Time	45480.55
Time Unit	ns
Iterations	15583

80.09 μs

Name	BP/Share/Lagrange/6
Real Time	80093.38
Time Unit	ns
Iterations	8565

107.55 μs

Name	BP/Share/Lagrange/8
Real Time	107548.01
Time Unit	ns
Iterations	5770

156.48 μs

Name	BP/Share/Lagrange/10
Real Time	156479.25
Time Unit	ns
Iterations	4189

294.93 μs

Name	BP/Share/Lagrange/16
Real Time	294934.31
Time Unit	ns
Iterations	2307

869.41 μs

Name	BP/Share/Lagrange/32
Real Time	869407.81
Time Unit	ns
Iterations	806

secp256k1

88.12 μs

Name	BP/Share/ECLagrange/3/3
Real Time	88117.16
Time Unit	ns
Iterations	7966

122.35 μs

Name	BP/Share/ECLagrange/3/4
Real Time	122351.16
Time Unit	ns
Iterations	5718

227.17 μs

Name	BP/Share/ECLagrange/3/6
Real Time	227166.21
Time Unit	ns
Iterations	3205

275.01 μs

Name	BP/Share/ECLagrange/3/8
Real Time	275012.27
Time Unit	ns
Iterations	2516

362.73 μs

Name	BP/Share/ECLagrange/3/10
Real Time	362728.20
Time Unit	ns
Iterations	1907

645.46 μs

Name	BP/Share/ECLagrange/3/16
Real Time	645457.15
Time Unit	ns
Iterations	1072

1611.64 μs

Name	BP/Share/ECLagrange/3/32
Real Time	1611644.66
Time Unit	ns
Iterations	432

Ed25519

146.04 μs

Name	BP/Share/ECLagrange/4/3
Real Time	146036.41
Time Unit	ns
Iterations	4785

198.78 μs

Name	BP/Share/ECLagrange/4/4
Real Time	198776.54
Time Unit	ns
Iterations	3533

325.33 μs

Name	BP/Share/ECLagrange/4/6
Real Time	325328.08
Time Unit	ns
Iterations	2258

446.49 μs

Name	BP/Share/ECLagrange/4/8
Real Time	446490.81
Time Unit	ns
Iterations	1656

543.08 μs

Name	BP/Share/ECLagrange/4/10
Real Time	543075.36
Time Unit	ns
Iterations	1285

929.27 μs

Name	BP/Share/ECLagrange/4/16
Real Time	929268.22
Time Unit	ns
Iterations	754

2142.22 μs

Name	BP/Share/ECLagrange/4/32
Real Time	2142223.87
Time Unit	ns
Iterations	328

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.61 ms

Name	ZK/DL/Prover/3
Real Time	607026.33
Time Unit	ns
Iterations	1157

0.52 ms

Name	ZK/DL/Verify/3
Real Time	516448.20
Time Unit	ns
Iterations	1399

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.61 ms

Name	ZK/DL/Prover/4
Real Time	609329.77
Time Unit	ns
Iterations	1148

2.26 ms

Name	ZK/DL/Verify/4
Real Time	2263668.08
Time Unit	ns
Iterations	277

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.05 ms

Name	ZK/DH/Prove/3
Real Time	49158.15
Time Unit	ns
Iterations	14229

0.09 ms

Name	ZK/DH/Verify/3
Real Time	86735.55
Time Unit	ns
Iterations	7977

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

1.77 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	1768597.70
Time Unit	ns
Iterations	397

0.69 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	686004.80
Time Unit	ns
Iterations	1023

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.05 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	49638.69
Time Unit	ns
Iterations	14210

0.09 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	90189.93
Time Unit	ns
Iterations	7744

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.16 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	163582.52
Time Unit	ns
Iterations	4286

0.22 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	216845.80
Time Unit	ns
Iterations	3262

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

2.90 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	2900872.95
Time Unit	ns
Iterations	221

0.64 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	641085.19
Time Unit	ns
Iterations	1092

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

16.73 ms

Name	ZK/ValidPaillier/Prover
Real Time	16731323.60
Time Unit	ns
Iterations	42

17.74 ms

Name	ZK/ValidPaillier/Verify
Real Time	17739164.77
Time Unit	ns
Iterations	43

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

68.70 ms

Name	ZK/PaillierZero/Prover
Real Time	68695021.90
Time Unit	ns
Iterations	10

70.43 ms

Name	ZK/PaillierZero/Verify
Real Time	70433465.36
Time Unit	ns
Iterations	11

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

64.93 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	64927191.00
Time Unit	ns
Iterations	11

137.38 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	137376436.40
Time Unit	ns
Iterations	5

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

235.95 ms

Name	ZK/RangePedersen/Prover/3
Real Time	235946217.67
Time Unit	ns
Iterations	3

12.60 ms

Name	ZK/RangePedersen/Verify/3
Real Time	12603625.66
Time Unit	ns
Iterations	56

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

34.30 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	34295108.58
Time Unit	ns
Iterations	19

73.67 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	73665655.89
Time Unit	ns
Iterations	9

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

285.17 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	285168671.67
Time Unit	ns
Iterations	3

86.38 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	86377651.14
Time Unit	ns
Iterations	7

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

275.92 ms

Name	ZK/PDL/Prover
Real Time	275915775.67
Time Unit	ns
Iterations	3

94.46 ms

Name	ZK/PDL/Verify
Real Time	94459689.71
Time Unit	ns
Iterations	7

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

211.69 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	211691673.00
Time Unit	ns
Iterations	3

213.17 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	213167552.33
Time Unit	ns
Iterations	3

34.13 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

0.61 ms

Name	ZK/DL/Prover/3
Real Time	607026.33
Time Unit	ns
Iterations	1157

0.52 ms

Name	ZK/DL/Verify/3
Real Time	516448.20
Time Unit	ns
Iterations	1399

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.01 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1005235.24
Time Unit	ns
Iterations	699

1.00 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	1004147.54
Time Unit	ns
Iterations	705

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

2.35 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	2349974.79
Time Unit	ns
Iterations	288

1.90 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	1898572.10
Time Unit	ns
Iterations	380

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

6.99 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	6989371.77
Time Unit	ns
Iterations	98

7.95 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	7948287.87
Time Unit	ns
Iterations	86

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.61 ms

Name	ZK/DL/Prover/4
Real Time	609329.77
Time Unit	ns
Iterations	1148

2.26 ms

Name	ZK/DL/Verify/4
Real Time	2263668.08
Time Unit	ns
Iterations	277

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.11 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1105883.80
Time Unit	ns
Iterations	684

1.86 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	1856268.30
Time Unit	ns
Iterations	381

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

2.41 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	2406022.79
Time Unit	ns
Iterations	287

3.09 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	3085816.31
Time Unit	ns
Iterations	223

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

6.93 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	6931507.22
Time Unit	ns
Iterations	97

12.68 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	12681762.56
Time Unit	ns
Iterations	59

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	288.98
Time Unit	ns
Iterations	2543323

0.02 KB

Name
Real Time
Time Unit
Iterations

6.88 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	6875382.53
Time Unit	ns
Iterations	96

1.03 KB

Name
Real Time
Time Unit
Iterations

6.65 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	6652594.98
Time Unit	ns
Iterations	105

6.88 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	6875382.53
Time Unit	ns
Iterations	96

6.65 ms

Name	sum
Real Time	6652883.96
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

16.73 ms

Name	ZK/ValidPaillier/Prover
Real Time	16731323.60
Time Unit	ns
Iterations	42

17.74 ms

Name	ZK/ValidPaillier/Verify
Real Time	17739164.77
Time Unit	ns
Iterations	43

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

68.70 ms

Name	ZK/PaillierZero/Prover
Real Time	68695021.90
Time Unit	ns
Iterations	10

70.43 ms

Name	ZK/PaillierZero/Verify
Real Time	70433465.36
Time Unit	ns
Iterations	11

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

25.39 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	25385469.57
Time Unit	ns
Iterations	28

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	321.34
Time Unit	ns
Iterations	2222334

0.00 KB

Name
Real Time
Time Unit
Iterations

0.52 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	517443.01
Time Unit	ns
Iterations	1352

0.00 KB

Name
Real Time
Time Unit
Iterations

55.17 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	55167609.75
Time Unit	ns
Iterations	12

25.90 ms

Name	sum
Real Time	25902912.58
Time Unit	ns
Iterations	-1

55.17 ms

Name	sum
Real Time	55167931.09
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

64.93 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	64927191.00
Time Unit	ns
Iterations	11

137.38 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	137376436.40
Time Unit	ns
Iterations	5

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

92.44 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	92438791.00
Time Unit	ns
Iterations	8

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	274.80
Time Unit	ns
Iterations	2544309

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	6483.11
Time Unit	ns
Iterations	110858

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	7788.32
Time Unit	ns
Iterations	124726

92.45 ms

Name	sum
Real Time	92445274.11
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	8063.12
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

235.95 ms

Name	ZK/RangePedersen/Prover/3
Real Time	235946217.67
Time Unit	ns
Iterations	3

12.60 ms

Name	ZK/RangePedersen/Verify/3
Real Time	12603625.66
Time Unit	ns
Iterations	56

Paillier Pedersen Equal

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

14.63 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	14629577.92
Time Unit	ns
Iterations	48

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierPedersenEq-Int/V2/3
Real Time	337.60
Time Unit	ns
Iterations	2070879

0.01 KB

Name
Real Time
Time Unit
Iterations

0.26 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	259979.30
Time Unit	ns
Iterations	2694

3.81 KB

Name
Real Time
Time Unit
Iterations

32.62 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	32621229.76
Time Unit	ns
Iterations	21

14.89 ms

Name	sum
Real Time	14889557.21
Time Unit	ns
Iterations	-1

32.62 ms

Name	sum
Real Time	32621567.37
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

34.30 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	34295108.58
Time Unit	ns
Iterations	19

73.67 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	73665655.89
Time Unit	ns
Iterations	9

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

7.51 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	7511117.43
Time Unit	ns
Iterations	93

4.67 ms

Name	PVE/vencrypt/Verify/0
Real Time	4665180.31
Time Unit	ns
Iterations	150

5.32 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	5319708.48
Time Unit	ns
Iterations	132

Batch(4) - RSA2048

13.36 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	13363166.56
Time Unit	ns
Iterations	52

10.40 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	10399891.13
Time Unit	ns
Iterations	67

11.94 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	11937876.07
Time Unit	ns
Iterations	61

Batch(16) - RSA2048

38.45 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	38451748.39
Time Unit	ns
Iterations	18

33.01 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	33010886.19
Time Unit	ns
Iterations	21

34.21 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	34205617.85
Time Unit	ns
Iterations	20

Basic - P-256

18.98 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	18979769.95
Time Unit	ns
Iterations	38

10.15 ms

Name	PVE/vencrypt/Verify/1
Real Time	10148501.87
Time Unit	ns
Iterations	69

10.23 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	10227793.37
Time Unit	ns
Iterations	68

Batch(4) - P-256

27.09 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	27093269.54
Time Unit	ns
Iterations	28

16.06 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	16064797.52
Time Unit	ns
Iterations	44

16.09 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	16088804.91
Time Unit	ns
Iterations	43

Batch(16) - P-256

47.59 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	47593466.53
Time Unit	ns
Iterations	15

38.67 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	38666433.11
Time Unit	ns
Iterations	18

38.90 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	38904161.78
Time Unit	ns
Iterations	18

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

444.02 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	444015789.50
Time Unit	ns
Iterations	2

255.43 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	255426441.00
Time Unit	ns
Iterations	3

2.89 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	2890585.80
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

5.13 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	5128859.79
Time Unit	ns
Iterations	136

10.98 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	10980709.10
Time Unit	ns
Iterations	69

20.63 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	20632245.97
Time Unit	ns
Iterations	34

44.59 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	44588591.67
Time Unit	ns
Iterations	15

84.81 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	84806500.25
Time Unit	ns
Iterations	8

161.54 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	161537555.75
Time Unit	ns
Iterations	4

Step 2 (S → R)

21.58 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	21575262.53
Time Unit	ns
Iterations	32

43.17 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	43172985.62
Time Unit	ns
Iterations	16

86.53 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	86533050.63
Time Unit	ns
Iterations	8

191.42 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	191416503.25
Time Unit	ns
Iterations	4

353.24 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	353244698.00
Time Unit	ns
Iterations	2

689.55 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	689546489.00
Time Unit	ns
Iterations	1

Step 3 (R output)

2.85 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	2845917.46
Time Unit	ns
Iterations	247

5.69 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	5687471.11
Time Unit	ns
Iterations	123

12.40 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	12400693.61
Time Unit	ns
Iterations	62

22.76 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	22756525.17
Time Unit	ns
Iterations	29

48.81 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	48811683.14
Time Unit	ns
Iterations	14

92.55 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	92553473.88
Time Unit	ns
Iterations	8

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

20.28 ms

Name	Full-OT-2P/1/1/2048
Real Time	20277759.00
Time Unit	ns
Iterations	35

message 1

round 2

88.66 ms

Name	Full-OT-2P/2/2/2048
Real Time	88657492.63
Time Unit	ns
Iterations	8

message 2

round 3

14.35 ms

Name	Full-OT-2P/3/1/2048
Real Time	14346295.90
Time Unit	ns
Iterations	49

message 3

Output Round

0.63 ms

Name	Full-OT-2P/4/2/2048
Real Time	629823.97
Time Unit	ns
Iterations	1004

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

20.44 ms

Name	Full-OT-2P/1/1/4096
Real Time	20440645.69
Time Unit	ns
Iterations	35

message 1

round 2

89.46 ms

Name	Full-OT-2P/2/2/4096
Real Time	89461151.87
Time Unit	ns
Iterations	8

message 2

round 3

16.53 ms

Name	Full-OT-2P/3/1/4096
Real Time	16533914.93
Time Unit	ns
Iterations	43

message 3

Output Round

1.25 ms

Name	Full-OT-2P/4/2/4096
Real Time	1252905.90
Time Unit	ns
Iterations	610

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

20.29 ms

Name	Full-OT-2P/1/1/65536
Real Time	20289716.26
Time Unit	ns
Iterations	35

message 1

round 2

110.55 ms

Name	Full-OT-2P/2/2/65536
Real Time	110550063.33
Time Unit	ns
Iterations	6

message 2

round 3

88.14 ms

Name	Full-OT-2P/3/1/65536
Real Time	88135659.13
Time Unit	ns
Iterations	8

message 3

Output Round

18.45 ms

Name	Full-OT-2P/4/2/65536
Real Time	18445875.44
Time Unit	ns
Iterations	34

Agree Random - 256 bits

msg

Total Time

round 1

44.74 μs

Name	AgreeRandom-2P/1/1/256
Real Time	44735.22
Time Unit	ns
Iterations	10000

30.22 μs

Name	AgreeRandom-2P/1/2/256
Real Time	30219.34
Time Unit	ns
Iterations	10000

message 1

round 2

0.48 μs

Name	AgreeRandom-2P/2/1/256
Real Time	483.84
Time Unit	ns
Iterations	10000

8.80 μs

Name	AgreeRandom-2P/2/2/256
Real Time	8801.92
Time Unit	ns
Iterations	10000

message 2

round 3

0.28 μs

Name	AgreeRandom-2P/3/1/256
Real Time	281.77
Time Unit	ns
Iterations	10000

0.38 μs

Name	AgreeRandom-2P/3/2/256
Real Time	384.79
Time Unit	ns
Iterations	10000

message 3

Output Round

66.89 μs

Name	AgreeRandom-2P/4/1/256
Real Time	66892.27
Time Unit	ns
Iterations	10000

63.30 μs

Name	AgreeRandom-2P/4/2/256
Real Time	63303.28
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

43.57 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	43569.79
Time Unit	ns
Iterations	10000

31.32 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	31324.30
Time Unit	ns
Iterations	10000

message 1

round 2

0.40 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	397.15
Time Unit	ns
Iterations	10000

9.66 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	9657.19
Time Unit	ns
Iterations	10000

message 2

round 3

0.37 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	370.97
Time Unit	ns
Iterations	10000

0.49 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	486.73
Time Unit	ns
Iterations	10000

message 3

Output Round

78.08 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	78077.14
Time Unit	ns
Iterations	10000

62.93 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	62925.77
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

43.07 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	43069.79
Time Unit	ns
Iterations	10000

30.59 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	30590.95
Time Unit	ns
Iterations	10000

message 1

round 2

0.60 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	599.39
Time Unit	ns
Iterations	10000

9.64 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	9635.21
Time Unit	ns
Iterations	10000

message 2

round 3

0.58 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	575.88
Time Unit	ns
Iterations	10000

0.58 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	578.34
Time Unit	ns
Iterations	10000

message 3

Output Round

78.38 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	78384.20
Time Unit	ns
Iterations	10000

63.44 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	63443.88
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

39.59 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	39585.68
Time Unit	ns
Iterations	10000

30.97 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	30970.67
Time Unit	ns
Iterations	10000

message 1

round 2

0.31 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	305.59
Time Unit	ns
Iterations	10000

8.66 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	8657.82
Time Unit	ns
Iterations	10000

message 2

Output Round

60.79 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	60785.97
Time Unit	ns
Iterations	10000

43.93 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	43927.33
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

39.36 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	39357.84
Time Unit	ns
Iterations	10000

30.14 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	30144.33
Time Unit	ns
Iterations	10000

message 1

round 2

0.40 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	399.83
Time Unit	ns
Iterations	10000

8.86 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	8855.90
Time Unit	ns
Iterations	10000

message 2

Output Round

80.16 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	80155.84
Time Unit	ns
Iterations	10000

59.92 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	59921.90
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

40.22 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	40216.15
Time Unit	ns
Iterations	10000

30.32 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	30322.13
Time Unit	ns
Iterations	10000

message 1

round 2

0.29 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	289.91
Time Unit	ns
Iterations	10000

9.28 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	9284.05
Time Unit	ns
Iterations	10000

message 2

Output Round

48.02 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	48023.83
Time Unit	ns
Iterations	10000

61.81 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	61811.49
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

39.91 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	39909.47
Time Unit	ns
Iterations	10000

30.10 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	30102.23
Time Unit	ns
Iterations	10000

message 1

round 2

0.35 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	353.93
Time Unit	ns
Iterations	10000

11.01 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	11014.71
Time Unit	ns
Iterations	10000

message 2

Output Round

44.94 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	44942.24
Time Unit	ns
Iterations	10000

60.53 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	60531.40
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

40.76 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	40760.00
Time Unit	ns
Iterations	10000

30.66 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	30664.86
Time Unit	ns
Iterations	10000

message 1

round 2

0.33 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	329.25
Time Unit	ns
Iterations	10000

10.46 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	10461.26
Time Unit	ns
Iterations	10000

message 2

Output Round

79.90 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	79898.01
Time Unit	ns
Iterations	10000

47.01 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	47009.36
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	60626.10
Time Unit	ns
Iterations	10

0.05 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	51919.30
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	355.10
Time Unit	ns
Iterations	10

0.76 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	760543.60
Time Unit	ns
Iterations	10

message 2

round 3

4.02 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	4024545.30
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	1028.60
Time Unit	ns
Iterations	10

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	62778.90
Time Unit	ns
Iterations	10

3.33 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	3334002.90
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.05 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	49450.68
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	35278.74
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	417.42
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	12248.62
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	415.23
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	473.68
Time Unit	ns
Iterations	200

message 3

Output Round

0.08 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	80221.69
Time Unit	ns
Iterations	200

0.07 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	65045.26
Time Unit	ns
Iterations	200

Sign - #Msg=1

msg

Total Time

round 1

0.07 ms

Name	Schnorr-2PC-Sign-2P/1/1/1
Real Time	65371.18
Time Unit	ns
Iterations	50

0.03 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	34236.38
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	524.12
Time Unit	ns
Iterations	50

1.01 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1014965.78
Time Unit	ns
Iterations	50

message 2

round 3

3.76 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	3760662.86
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	1211.06
Time Unit	ns
Iterations	50

message 3

round 4

0.01 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	12556.26
Time Unit	ns
Iterations	50

3.13 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	3128227.80
Time Unit	ns
Iterations	50

message 4

Output Round

0.18 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	176379.18
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	66902.06
Time Unit	ns
Iterations	50

Sign - #Msg=4

msg

Total Time

round 1

0.12 ms

Name	Schnorr-2PC-Sign-2P/1/1/4
Real Time	117200.46
Time Unit	ns
Iterations	50

0.03 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	34073.72
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	531.24
Time Unit	ns
Iterations	50

1.28 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1280161.58
Time Unit	ns
Iterations	50

message 2

round 3

4.43 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	4425656.42
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	1378.28
Time Unit	ns
Iterations	50

message 3

round 4

0.04 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	37163.70
Time Unit	ns
Iterations	50

3.26 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	3258510.58
Time Unit	ns
Iterations	50

message 4

Output Round

0.44 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	436043.18
Time Unit	ns
Iterations	50

0.06 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	64030.24
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.26 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	258201.98
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	37775.20
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	436.28
Time Unit	ns
Iterations	50

3.23 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	3226032.24
Time Unit	ns
Iterations	50

message 2

round 3

7.84 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	7835802.70
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	1712.90
Time Unit	ns
Iterations	50

message 3

round 4

0.14 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	140000.50
Time Unit	ns
Iterations	50

5.83 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	5829667.36
Time Unit	ns
Iterations	50

message 4

Output Round

1.59 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	1585329.44
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	74051.90
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

157.91 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	157910097.05
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	55222.00
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	1641.35
Time Unit	ns
Iterations	20

0.80 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	797999.45
Time Unit	ns
Iterations	20

message 2

round 3

12.38 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	12381791.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2247.75
Time Unit	ns
Iterations	20

message 3

Output Round

0.13 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	128207.85
Time Unit	ns
Iterations	20

58.01 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	58007740.45
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

70.72 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	70719455.90
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	39329.80
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	952.30
Time Unit	ns
Iterations	20

1.44 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	1439302.05
Time Unit	ns
Iterations	20

message 2

round 3

7.43 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	7434668.45
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1259.05
Time Unit	ns
Iterations	20

message 3

Output Round

0.12 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	116908.15
Time Unit	ns
Iterations	20

64.81 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	64812098.70
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

0.99 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	991089.60
Time Unit	ns
Iterations	20

0.03 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	30074.80
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	524.00
Time Unit	ns
Iterations	20

0.92 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	921931.45
Time Unit	ns
Iterations	20

message 2

round 3

1.17 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1169729.95
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2589.40
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	2054.70
Time Unit	ns
Iterations	20

30.96 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	30964584.20
Time Unit	ns
Iterations	20

message 4

Output Round

18.19 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	18189583.50
Time Unit	ns
Iterations	20

0.08 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	78176.55
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

1.23 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	1227724.95
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	36437.70
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	1222.00
Time Unit	ns
Iterations	20

1.22 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1222162.80
Time Unit	ns
Iterations	20

message 2

round 3

1.43 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	1429251.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2300.65
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	1495.75
Time Unit	ns
Iterations	20

126.43 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	126425365.10
Time Unit	ns
Iterations	20

message 4

Output Round

75.21 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	75206831.50
Time Unit	ns
Iterations	20

0.12 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	122077.85
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

2.78 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	2776372.90
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	40833.95
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	876.15
Time Unit	ns
Iterations	20

3.22 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	3220895.60
Time Unit	ns
Iterations	20

message 2

round 3

2.75 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	2747443.75
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	1863.25
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	2516.60
Time Unit	ns
Iterations	20

493.98 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	493978019.15
Time Unit	ns
Iterations	20

message 4

Output Round

293.55 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	293554289.50
Time Unit	ns
Iterations	20

0.16 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	162836.00
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.09 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1092535.90
Time Unit	ns
Iterations	20

0.03 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	33403.10
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	393.00
Time Unit	ns
Iterations	20

0.91 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	907225.35
Time Unit	ns
Iterations	20

message 2

round 3

1.17 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1168019.95
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	1291.50
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	2230.95
Time Unit	ns
Iterations	20

9.36 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	9360314.80
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

1.33 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	1325856.75
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	36802.40
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	507.40
Time Unit	ns
Iterations	20

1.16 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1162353.85
Time Unit	ns
Iterations	20

message 2

round 3

1.43 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	1430058.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	1600.45
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	2628.20
Time Unit	ns
Iterations	20

34.09 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	34089783.50
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

2.70 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	2696645.10
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	37021.40
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/1/16
Real Time	462.15
Time Unit	ns
Iterations	20

2.77 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	2772509.25
Time Unit	ns
Iterations	20

message 2

round 3

2.69 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	2692026.50
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	2606.85
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	2618.85
Time Unit	ns
Iterations	20

134.75 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	134750338.95
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

0.20 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	198491.00
Time Unit	ns
Iterations	1

0.14 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	135781.00
Time Unit	ns
Iterations	1

0.14 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	144206.00
Time Unit	ns
Iterations	1

0.13 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	131467.00
Time Unit	ns
Iterations	1

message 1

round 2

1.11 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1108098.00
Time Unit	ns
Iterations	1

1.11 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1109785.00
Time Unit	ns
Iterations	1

1.16 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1161269.00
Time Unit	ns
Iterations	1

1.15 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1145158.00
Time Unit	ns
Iterations	1

message 2

Output Round

9.86 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	9856517.00
Time Unit	ns
Iterations	1

9.85 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	9847063.00
Time Unit	ns
Iterations	1

9.88 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	9878337.00
Time Unit	ns
Iterations	1

9.99 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	9986788.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

3.17 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	3168409.40
Time Unit	ns
Iterations	10

3.40 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	3397041.70
Time Unit	ns
Iterations	10

3.14 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	3143265.30
Time Unit	ns
Iterations	10

3.61 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	3612806.50
Time Unit	ns
Iterations	10

message 1

round 2

2.01 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2007336.50
Time Unit	ns
Iterations	10

2.00 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2004905.80
Time Unit	ns
Iterations	10

2.00 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	1998130.60
Time Unit	ns
Iterations	10

2.29 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2288204.50
Time Unit	ns
Iterations	10

message 2

Output Round

33.53 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	33525699.00
Time Unit	ns
Iterations	10

33.50 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	33495011.80
Time Unit	ns
Iterations	10

37.25 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	37247229.10
Time Unit	ns
Iterations	10

33.99 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	33992774.20
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.17 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	169791.30
Time Unit	ns
Iterations	10

0.18 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	181582.20
Time Unit	ns
Iterations	10

0.18 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	182076.10
Time Unit	ns
Iterations	10

0.16 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	164643.80
Time Unit	ns
Iterations	10

message 1

round 2

1.74 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	1737739.10
Time Unit	ns
Iterations	10

1.71 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	1705410.00
Time Unit	ns
Iterations	10

1.74 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	1741542.40
Time Unit	ns
Iterations	10

1.72 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	1716982.40
Time Unit	ns
Iterations	10

message 2

round 3

9.22 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	9221014.00
Time Unit	ns
Iterations	10

9.26 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	9255799.10
Time Unit	ns
Iterations	10

9.71 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	9706969.00
Time Unit	ns
Iterations	10

9.24 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	9237287.20
Time Unit	ns
Iterations	10

message 3

Output Round

0.40 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	398706.90
Time Unit	ns
Iterations	10

0.11 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	108275.10
Time Unit	ns
Iterations	10

0.11 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	109508.90
Time Unit	ns
Iterations	10

0.11 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	106317.00
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.27 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	273737.60
Time Unit	ns
Iterations	10

0.11 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	113496.80
Time Unit	ns
Iterations	10

0.11 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	113184.60
Time Unit	ns
Iterations	10

0.11 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	111163.30
Time Unit	ns
Iterations	10

message 1

round 2

0.86 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	858293.60
Time Unit	ns
Iterations	10

0.87 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	871595.90
Time Unit	ns
Iterations	10

0.85 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	845585.40
Time Unit	ns
Iterations	10

0.90 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	897453.30
Time Unit	ns
Iterations	10

message 2

Output Round

2.13 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	2131976.10
Time Unit	ns
Iterations	10

2.11 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	2109080.80
Time Unit	ns
Iterations	10

2.11 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	2107085.60
Time Unit	ns
Iterations	10

2.11 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	2113654.10
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

2.86 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	2863509.10
Time Unit	ns
Iterations	10

2.93 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	2933130.70
Time Unit	ns
Iterations	10

2.86 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	2862783.40
Time Unit	ns
Iterations	10

2.88 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	2878825.40
Time Unit	ns
Iterations	10

message 1

round 2

0.89 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	894890.40
Time Unit	ns
Iterations	10

0.89 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	887075.10
Time Unit	ns
Iterations	10

0.89 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	891195.80
Time Unit	ns
Iterations	10

0.89 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	893596.30
Time Unit	ns
Iterations	10

message 2

Output Round

7.40 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	7395655.60
Time Unit	ns
Iterations	10

7.38 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	7380845.50
Time Unit	ns
Iterations	10

7.39 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	7386871.60
Time Unit	ns
Iterations	10

7.36 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	7359795.80
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.14 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	135903.90
Time Unit	ns
Iterations	10

0.15 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	149155.90
Time Unit	ns
Iterations	10

0.15 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	154169.10
Time Unit	ns
Iterations	10

0.14 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	142692.50
Time Unit	ns
Iterations	10

message 1

round 2

43.03 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	43025186.20
Time Unit	ns
Iterations	10

29.30 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	29299200.00
Time Unit	ns
Iterations	10

15.02 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	15015085.80
Time Unit	ns
Iterations	10

0.87 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	870883.10
Time Unit	ns
Iterations	10

message 2

round 3

2.09 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	2091296.20
Time Unit	ns
Iterations	10

61.27 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	61269880.40
Time Unit	ns
Iterations	10

125.01 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	125008451.30
Time Unit	ns
Iterations	10

188.50 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	188499261.60
Time Unit	ns
Iterations	10

message 3

round 4

46.49 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	46487314.30
Time Unit	ns
Iterations	10

33.39 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	33393302.10
Time Unit	ns
Iterations	10

19.33 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	19328437.80
Time Unit	ns
Iterations	10

4.47 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	4470260.20
Time Unit	ns
Iterations	10

message 4

round 5

6.57 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	6566172.60
Time Unit	ns
Iterations	10

8.23 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	8232287.30
Time Unit	ns
Iterations	10

9.88 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	9880925.80
Time Unit	ns
Iterations	10

11.52 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	11521218.10
Time Unit	ns
Iterations	10

message 5

round 6

7.77 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	7769549.00
Time Unit	ns
Iterations	10

6.84 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	6837558.40
Time Unit	ns
Iterations	10

5.99 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	5993541.60
Time Unit	ns
Iterations	10

5.17 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	5166405.20
Time Unit	ns
Iterations	10

message 6

round 7

14.35 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	14348880.80
Time Unit	ns
Iterations	10

15.37 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	15366469.80
Time Unit	ns
Iterations	10

14.44 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	14444916.70
Time Unit	ns
Iterations	10

14.21 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	14207871.60
Time Unit	ns
Iterations	10

message 7

round 8

6.35 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	6345609.50
Time Unit	ns
Iterations	10

6.13 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	6130336.90
Time Unit	ns
Iterations	10

6.22 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	6220692.20
Time Unit	ns
Iterations	10

6.34 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	6335284.10
Time Unit	ns
Iterations	10

message 8

round 9

1.78 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	1779770.20
Time Unit	ns
Iterations	10

1.72 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	1718186.80
Time Unit	ns
Iterations	10

1.73 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	1728254.30
Time Unit	ns
Iterations	10

1.81 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	1810020.30
Time Unit	ns
Iterations	10

message 9

Output Round

1.94 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	1941438.40
Time Unit	ns
Iterations	10

1.11 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1111297.50
Time Unit	ns
Iterations	10

1.13 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1125302.00
Time Unit	ns
Iterations	10

1.14 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1142072.30
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