Benchmark Context

Date: 2025-03-26T13:33:56+00:00
Commit: dc7ce2156cfc61366a0f5f70761dacf22a35008b
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3252

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.07 μs

Name	Core/BN/ModAdd/256
Real Time	70.49
Time Unit	ns
Iterations	9938015

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	80.69
Time Unit	ns
Iterations	8631049

0.11 μs

Name	Core/BN/ModAdd/1024
Real Time	108.56
Time Unit	ns
Iterations	6448411

0.17 μs

Name	Core/BN/ModAdd/2048
Real Time	173.40
Time Unit	ns
Iterations	4022059

0.29 μs

Name	Core/BN/ModAdd/4096
Real Time	287.87
Time Unit	ns
Iterations	2557115

Mod Sub

0.06 μs

Name	Core/BN/ModSubtract/256
Real Time	64.94
Time Unit	ns
Iterations	10787298

0.08 μs

Name	Core/BN/ModSubtract/512
Real Time	81.51
Time Unit	ns
Iterations	9114213

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	109.01
Time Unit	ns
Iterations	6424410

0.18 μs

Name	Core/BN/ModSubtract/2048
Real Time	180.09
Time Unit	ns
Iterations	3881983

0.33 μs

Name	Core/BN/ModSubtract/4096
Real Time	333.30
Time Unit	ns
Iterations	2094332

Mod Mul

0.16 μs

Name	Core/BN/ModMultiply/256
Real Time	163.26
Time Unit	ns
Iterations	4293801

0.31 μs

Name	Core/BN/ModMultiply/512
Real Time	306.94
Time Unit	ns
Iterations	2312298

0.82 μs

Name	Core/BN/ModMultiply/1024
Real Time	822.40
Time Unit	ns
Iterations	849911

2.77 μs

Name	Core/BN/ModMultiply/2048
Real Time	2774.18
Time Unit	ns
Iterations	252841

11.04 μs

Name	Core/BN/ModMultiply/4096
Real Time	11042.87
Time Unit	ns
Iterations	63581

Mod Exponentiate

16.21 μs

Name	Core/BN/ModExponentiate/256
Real Time	16208.78
Time Unit	ns
Iterations	42904

41.90 μs

Name	Core/BN/ModExponentiate/512
Real Time	41896.28
Time Unit	ns
Iterations	16680

311.09 μs

Name	Core/BN/ModExponentiate/1024
Real Time	311088.23
Time Unit	ns
Iterations	2249

2213.34 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2213344.92
Time Unit	ns
Iterations	317

16542.43 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16542429.57
Time Unit	ns
Iterations	42

Mod Invert

17.06 μs

Name	Core/BN/ModInvert/256
Real Time	17056.96
Time Unit	ns
Iterations	40947

36.75 μs

Name	Core/BN/ModInvert/512
Real Time	36750.20
Time Unit	ns
Iterations	18835

83.77 μs

Name	Core/BN/ModInvert/1024
Real Time	83774.65
Time Unit	ns
Iterations	8348

221.15 μs

Name	Core/BN/ModInvert/2048
Real Time	221152.62
Time Unit	ns
Iterations	2889

683.30 μs

Name	Core/BN/ModInvert/4096
Real Time	683303.19
Time Unit	ns
Iterations	1029

GCD

23.06 μs

Name	Core/BN/GCD/256
Real Time	23061.80
Time Unit	ns
Iterations	30546

52.14 μs

Name	Core/BN/GCD/512
Real Time	52144.36
Time Unit	ns
Iterations	13449

130.66 μs

Name	Core/BN/GCD/1024
Real Time	130657.38
Time Unit	ns
Iterations	5392

358.83 μs

Name	Core/BN/GCD/2048
Real Time	358825.91
Time Unit	ns
Iterations	1938

1161.38 μs

Name	Core/BN/GCD/4096
Real Time	1161382.71
Time Unit	ns
Iterations	613

GCD with RSA Modulus

23.04 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23039.27
Time Unit	ns
Iterations	29842

51.42 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	51424.10
Time Unit	ns
Iterations	13648

128.58 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	128576.36
Time Unit	ns
Iterations	5417

357.69 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	357694.73
Time Unit	ns
Iterations	1731

1143.16 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1143158.40
Time Unit	ns
Iterations	616

Batch(16) GCD with RSA Modulus

29.28 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	29283.51
Time Unit	ns
Iterations	27182

55.67 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	55671.32
Time Unit	ns
Iterations	12306

149.07 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	149066.94
Time Unit	ns
Iterations	4998

396.58 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	396580.08
Time Unit	ns
Iterations	1758

1310.27 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1310274.60
Time Unit	ns
Iterations	527

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	359.15
Time Unit	ns
Iterations	1950777

0.25 μs

Name	Core/EC/Add/Ed25519
Real Time	248.48
Time Unit	ns
Iterations	2807458

Multiply

41.61 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41611.95
Time Unit	ns
Iterations	16872

53.05 μs

Name	Core/EC/Multiply/Ed25519
Real Time	53048.35
Time Unit	ns
Iterations	10000

Multiply Generator

20.06 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	20063.14
Time Unit	ns
Iterations	34991

7.60 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	7596.75
Time Unit	ns
Iterations	92478

MulAdd

61.65 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	61650.82
Time Unit	ns
Iterations	11276

57.70 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	57702.14
Time Unit	ns
Iterations	12137

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

0.31 μs

Name	Core/Hash/SHA256/1
Real Time	309.37
Time Unit	ns
Iterations	2262227

0.31 μs

Name	Core/Hash/SHA256/4
Real Time	308.71
Time Unit	ns
Iterations	2262305

0.31 μs

Name	Core/Hash/SHA256/16
Real Time	305.51
Time Unit	ns
Iterations	2286179

0.35 μs

Name	Core/Hash/SHA256/64
Real Time	347.60
Time Unit	ns
Iterations	2021846

0.47 μs

Name	Core/Hash/SHA256/256
Real Time	469.41
Time Unit	ns
Iterations	1501588

0.95 μs

Name	Core/Hash/SHA256/1024
Real Time	947.81
Time Unit	ns
Iterations	738028

2.87 μs

Name	Core/Hash/SHA256/4096
Real Time	2874.93
Time Unit	ns
Iterations	243475

HMAC-SHA256

0.31 μs

Name	Core/Hash/HMAC-SHA256/1
Real Time	314.13
Time Unit	ns
Iterations	2247635

0.31 μs

Name	Core/Hash/HMAC-SHA256/4
Real Time	309.99
Time Unit	ns
Iterations	2261901

0.31 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	305.96
Time Unit	ns
Iterations	2290029

0.35 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	346.74
Time Unit	ns
Iterations	2023295

0.47 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	465.43
Time Unit	ns
Iterations	1505509

0.95 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	947.30
Time Unit	ns
Iterations	739507

2.88 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	2879.24
Time Unit	ns
Iterations	243690

AES-GCM-128

0.66 μs

Name	Core/Hash/AES-GCM-128/1
Real Time	655.76
Time Unit	ns
Iterations	1075057

0.66 μs

Name	Core/Hash/AES-GCM-128/4
Real Time	660.88
Time Unit	ns
Iterations	1063572

0.66 μs

Name	Core/Hash/AES-GCM-128/16
Real Time	659.99
Time Unit	ns
Iterations	1061586

0.69 μs

Name	Core/Hash/AES-GCM-128/64
Real Time	691.01
Time Unit	ns
Iterations	1021702

0.74 μs

Name	Core/Hash/AES-GCM-128/256
Real Time	741.60
Time Unit	ns
Iterations	945161

0.96 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	960.16
Time Unit	ns
Iterations	731413

1.67 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1671.30
Time Unit	ns
Iterations	420948

AES-GCM-256

0.65 μs

Name	Core/Hash/AES-GCM-256/1
Real Time	653.65
Time Unit	ns
Iterations	1072568

0.66 μs

Name	Core/Hash/AES-GCM-256/4
Real Time	660.03
Time Unit	ns
Iterations	1068823

0.66 μs

Name	Core/Hash/AES-GCM-256/16
Real Time	660.91
Time Unit	ns
Iterations	1060371

0.69 μs

Name	Core/Hash/AES-GCM-256/64
Real Time	685.89
Time Unit	ns
Iterations	1018275

0.74 μs

Name	Core/Hash/AES-GCM-256/256
Real Time	739.76
Time Unit	ns
Iterations	946915

0.96 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	955.88
Time Unit	ns
Iterations	725292

1.67 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1668.26
Time Unit	ns
Iterations	420519

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.62 μs

Name	BP/ElGamal/Commit/3
Real Time	82615.18
Time Unit	ns
Iterations	8442

66.67 μs

Name	BP/ElGamal/Commit/4
Real Time	66672.30
Time Unit	ns
Iterations	9805

Rerand

62.44 μs

Name	BP/ElGamal/Rerand/3
Real Time	62440.25
Time Unit	ns
Iterations	11196

58.33 μs

Name	BP/ElGamal/Rerand/4
Real Time	58333.20
Time Unit	ns
Iterations	12024

Add

0.77 μs

Name	BP/ElGamal/Add/3
Real Time	765.28
Time Unit	ns
Iterations	920886

0.53 μs

Name	BP/ElGamal/Add/4
Real Time	532.25
Time Unit	ns
Iterations	1317067

Add Scalar

20.38 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20383.36
Time Unit	ns
Iterations	34049

8.05 μs

Name	BP/ElGamal/AddScalar/4
Real Time	8050.76
Time Unit	ns
Iterations	87829

Mul Scalar

82.95 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82948.38
Time Unit	ns
Iterations	8448

99.98 μs

Name	BP/ElGamal/MulScalar/4
Real Time	99978.74
Time Unit	ns
Iterations	7012

Paillier

Operation \ Bit length

2048 bits

Generate Key

41.35 ms

Name	BP/Paillier/Gen
Real Time	41346044.17
Time Unit	ns
Iterations	18

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4517421.83
Time Unit	ns
Iterations	155

Encrypt

8.59 ms

Name	BP/Paillier/Pub-Enc
Real Time	8587456.10
Time Unit	ns
Iterations	82

Decrypt

4.51 ms

Name	BP/Paillier/Dec
Real Time	4514471.41
Time Unit	ns
Iterations	155

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11161.88
Time Unit	ns
Iterations	63129

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	12912.28
Time Unit	ns
Iterations	54356

Mul-Scalar

8.34 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8335063.75
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

198.31 μs

Name	tdh2-encrypt-1P/4/256
Real Time	198307.79
Time Unit	ns
Iterations	3707

188.85 μs

Name	tdh2-encrypt-1P/30/256
Real Time	188849.16
Time Unit	ns
Iterations	3704

268.36 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	268357.81
Time Unit	ns
Iterations	2594

267.77 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	267765.56
Time Unit	ns
Iterations	2614

Verify

200.89 μs

Name	tdh2-verify-1P/4/256
Real Time	200892.48
Time Unit	ns
Iterations	3489

240.82 μs

Name	tdh2-verify-1P/30/256
Real Time	240822.32
Time Unit	ns
Iterations	3158

262.78 μs

Name	tdh2-verify-1P/4/65536
Real Time	262776.78
Time Unit	ns
Iterations	2881

302.36 μs

Name	tdh2-verify-1P/30/65536
Real Time	302359.47
Time Unit	ns
Iterations	2623

Local Decrypt

363.83 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	363825.10
Time Unit	ns
Iterations	2036

344.32 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	344315.32
Time Unit	ns
Iterations	2174

384.84 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	384836.89
Time Unit	ns
Iterations	1820

385.13 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	385128.89
Time Unit	ns
Iterations	1927

Combine

899.30 μs

Name	tdh2-combine-1P/4/256
Real Time	899297.54
Time Unit	ns
Iterations	763

5407.76 μs

Name	tdh2-combine-1P/30/256
Real Time	5407764.87
Time Unit	ns
Iterations	131

999.25 μs

Name	tdh2-combine-1P/4/65536
Real Time	999245.80
Time Unit	ns
Iterations	701

5439.84 μs

Name	tdh2-combine-1P/30/65536
Real Time	5439835.08
Time Unit	ns
Iterations	123

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.46 μs

Name	Crypto/DRBG/String/1024
Real Time	1464.65
Time Unit	ns
Iterations	480655

1.52 μs

Name	Crypto/DRBG/String/2048
Real Time	1517.44
Time Unit	ns
Iterations	462067

1.62 μs

Name	Crypto/DRBG/String/4096
Real Time	1617.35
Time Unit	ns
Iterations	397201

1.84 μs

Name	Crypto/DRBG/String/8192
Real Time	1837.41
Time Unit	ns
Iterations	381791

2.35 μs

Name	Crypto/DRBG/String/16384
Real Time	2354.39
Time Unit	ns
Iterations	298056

3.29 μs

Name	Crypto/DRBG/String/32768
Real Time	3295.00
Time Unit	ns
Iterations	213246

5.10 μs

Name	Crypto/DRBG/String/65536
Real Time	5098.21
Time Unit	ns
Iterations	137344

8.72 μs

Name	Crypto/DRBG/String/131072
Real Time	8719.67
Time Unit	ns
Iterations	77049

16.38 μs

Name	Crypto/DRBG/String/262144
Real Time	16383.89
Time Unit	ns
Iterations	43978

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.76 μs

Name	Crypto/DRBG/Number/256
Real Time	1756.24
Time Unit	ns
Iterations	400025

1.86 μs

Name	Crypto/DRBG/Number/512
Real Time	1862.73
Time Unit	ns
Iterations	377961

2.04 μs

Name	Crypto/DRBG/Number/1024
Real Time	2041.98
Time Unit	ns
Iterations	342946

2.42 μs

Name	Crypto/DRBG/Number/2048
Real Time	2420.92
Time Unit	ns
Iterations	289935

3.21 μs

Name	Crypto/DRBG/Number/4096
Real Time	3209.44
Time Unit	ns
Iterations	217844

Curve

secp256k1

Ed25519

DRBG-Curve

22.12 μs

Name	Crypto/DRBG/Curve/3
Real Time	22124.88
Time Unit	ns
Iterations	31712

9.73 μs

Name	Crypto/DRBG/Curve/4
Real Time	9727.01
Time Unit	ns
Iterations	71621

HMAC

#big number

Commit

2.33 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2326.87
Time Unit	ns
Iterations	300924

2.72 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2722.75
Time Unit	ns
Iterations	271218

2.90 μs

Name	Crypto/Commitment/ComBn/6
Real Time	2898.99
Time Unit	ns
Iterations	240932

3.13 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3125.89
Time Unit	ns
Iterations	223386

3.38 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3375.54
Time Unit	ns
Iterations	206679

3.69 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3689.37
Time Unit	ns
Iterations	158950

3.89 μs

Name	Crypto/Commitment/ComBn/14
Real Time	3885.13
Time Unit	ns
Iterations	179691

4.30 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4302.74
Time Unit	ns
Iterations	169537

4.38 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4379.71
Time Unit	ns
Iterations	160437

4.63 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4633.29
Time Unit	ns
Iterations	151943

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

82.62 μs

Name	BP/ElGamal/Commit/3
Real Time	82615.18
Time Unit	ns
Iterations	8442

66.67 μs

Name	BP/ElGamal/Commit/4
Real Time	66672.30
Time Unit	ns
Iterations	9805

Rerand

62.44 μs

Name	BP/ElGamal/Rerand/3
Real Time	62440.25
Time Unit	ns
Iterations	11196

58.33 μs

Name	BP/ElGamal/Rerand/4
Real Time	58333.20
Time Unit	ns
Iterations	12024

Add

0.77 μs

Name	BP/ElGamal/Add/3
Real Time	765.28
Time Unit	ns
Iterations	920886

0.53 μs

Name	BP/ElGamal/Add/4
Real Time	532.25
Time Unit	ns
Iterations	1317067

Add Scalar

20.38 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20383.36
Time Unit	ns
Iterations	34049

8.05 μs

Name	BP/ElGamal/AddScalar/4
Real Time	8050.76
Time Unit	ns
Iterations	87829

Mul Scalar

82.95 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82948.38
Time Unit	ns
Iterations	8448

99.98 μs

Name	BP/ElGamal/MulScalar/4
Real Time	99978.74
Time Unit	ns
Iterations	7012

Shamir Secret Sharing

m\n

13.91 μs

Name	BP/Share/Shamir/10/2
Real Time	13906.76
Time Unit	ns
Iterations	51158

16.58 μs

Name	BP/Share/Shamir/10/3
Real Time	16576.42
Time Unit	ns
Iterations	44217

18.13 μs

Name	BP/Share/Shamir/10/4
Real Time	18127.31
Time Unit	ns
Iterations	39012

20.80 μs

Name	BP/Share/Shamir/10/5
Real Time	20802.55
Time Unit	ns
Iterations	34926

22.28 μs

Name	BP/Share/Shamir/10/6
Real Time	22275.46
Time Unit	ns
Iterations	31587

24.33 μs

Name	BP/Share/Shamir/10/7
Real Time	24325.45
Time Unit	ns
Iterations	28891

28.09 μs

Name	BP/Share/Shamir/20/2
Real Time	28088.46
Time Unit	ns
Iterations	24895

32.47 μs

Name	BP/Share/Shamir/20/3
Real Time	32468.51
Time Unit	ns
Iterations	21649

36.71 μs

Name	BP/Share/Shamir/20/4
Real Time	36709.79
Time Unit	ns
Iterations	19007

41.01 μs

Name	BP/Share/Shamir/20/5
Real Time	41008.48
Time Unit	ns
Iterations	17105

45.30 μs

Name	BP/Share/Shamir/20/6
Real Time	45295.29
Time Unit	ns
Iterations	15366

49.57 μs

Name	BP/Share/Shamir/20/7
Real Time	49571.85
Time Unit	ns
Iterations	13984

42.64 μs

Name	BP/Share/Shamir/30/2
Real Time	42641.89
Time Unit	ns
Iterations	16480

49.05 μs

Name	BP/Share/Shamir/30/3
Real Time	49053.53
Time Unit	ns
Iterations	14309

55.69 μs

Name	BP/Share/Shamir/30/4
Real Time	55685.35
Time Unit	ns
Iterations	12616

62.04 μs

Name	BP/Share/Shamir/30/5
Real Time	62039.95
Time Unit	ns
Iterations	11337

68.56 μs

Name	BP/Share/Shamir/30/6
Real Time	68562.79
Time Unit	ns
Iterations	10285

74.85 μs

Name	BP/Share/Shamir/30/7
Real Time	74851.56
Time Unit	ns
Iterations	9235

Horner's rule

m\n

256 bit field

0.49 μs

Name	BP/Share/Horner/3
Real Time	488.25
Time Unit	ns
Iterations	1427937

0.71 μs

Name	BP/Share/Horner/4
Real Time	708.08
Time Unit	ns
Iterations	960714

1.14 μs

Name	BP/Share/Horner/6
Real Time	1137.67
Time Unit	ns
Iterations	615525

1.58 μs

Name	BP/Share/Horner/8
Real Time	1577.32
Time Unit	ns
Iterations	445433

2.01 μs

Name	BP/Share/Horner/10
Real Time	2009.58
Time Unit	ns
Iterations	349845

3.31 μs

Name	BP/Share/Horner/16
Real Time	3306.88
Time Unit	ns
Iterations	211615

6.79 μs

Name	BP/Share/Horner/32
Real Time	6792.57
Time Unit	ns
Iterations	103315

secp256k1

83.90 μs

Name	BP/Share/ECHorner/3/3
Real Time	83903.77
Time Unit	ns
Iterations	8319

126.40 μs

Name	BP/Share/ECHorner/3/4
Real Time	126397.36
Time Unit	ns
Iterations	5587

209.70 μs

Name	BP/Share/ECHorner/3/6
Real Time	209698.78
Time Unit	ns
Iterations	3348

292.80 μs

Name	BP/Share/ECHorner/3/8
Real Time	292800.35
Time Unit	ns
Iterations	2395

376.31 μs

Name	BP/Share/ECHorner/3/10
Real Time	376310.52
Time Unit	ns
Iterations	1863

666.41 μs

Name	BP/Share/ECHorner/3/16
Real Time	666408.04
Time Unit	ns
Iterations	1116

1296.72 μs

Name	BP/Share/ECHorner/3/32
Real Time	1296719.69
Time Unit	ns
Iterations	540

Ed25519

100.47 μs

Name	BP/Share/ECHorner/4/3
Real Time	100471.43
Time Unit	ns
Iterations	6903

150.84 μs

Name	BP/Share/ECHorner/4/4
Real Time	150835.51
Time Unit	ns
Iterations	4634

251.40 μs

Name	BP/Share/ECHorner/4/6
Real Time	251403.96
Time Unit	ns
Iterations	2787

352.06 μs

Name	BP/Share/ECHorner/4/8
Real Time	352062.52
Time Unit	ns
Iterations	1991

452.05 μs

Name	BP/Share/ECHorner/4/10
Real Time	452048.12
Time Unit	ns
Iterations	1548

753.64 μs

Name	BP/Share/ECHorner/4/16
Real Time	753640.24
Time Unit	ns
Iterations	927

1559.25 μs

Name	BP/Share/ECHorner/4/32
Real Time	1559252.80
Time Unit	ns
Iterations	450

Lagrange interpolation

m\n

256 bit field

36.15 μs

Name	BP/Share/Lagrange/3
Real Time	36149.14
Time Unit	ns
Iterations	19508

52.39 μs

Name	BP/Share/Lagrange/4
Real Time	52387.76
Time Unit	ns
Iterations	13257

92.61 μs

Name	BP/Share/Lagrange/6
Real Time	92610.34
Time Unit	ns
Iterations	7549

157.06 μs

Name	BP/Share/Lagrange/8
Real Time	157064.03
Time Unit	ns
Iterations	4907

201.77 μs

Name	BP/Share/Lagrange/10
Real Time	201771.72
Time Unit	ns
Iterations	3484

428.43 μs

Name	BP/Share/Lagrange/16
Real Time	428434.99
Time Unit	ns
Iterations	1633

1364.25 μs

Name	BP/Share/Lagrange/32
Real Time	1364247.63
Time Unit	ns
Iterations	518

secp256k1

132.36 μs

Name	BP/Share/ECLagrange/3/3
Real Time	132364.39
Time Unit	ns
Iterations	5253

181.44 μs

Name	BP/Share/ECLagrange/3/4
Real Time	181443.75
Time Unit	ns
Iterations	3820

291.05 μs

Name	BP/Share/ECLagrange/3/6
Real Time	291053.17
Time Unit	ns
Iterations	2430

421.99 μs

Name	BP/Share/ECLagrange/3/8
Real Time	421985.45
Time Unit	ns
Iterations	1714

540.56 μs

Name	BP/Share/ECLagrange/3/10
Real Time	540559.35
Time Unit	ns
Iterations	1297

982.26 μs

Name	BP/Share/ECLagrange/3/16
Real Time	982258.87
Time Unit	ns
Iterations	711

2500.56 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2500560.65
Time Unit	ns
Iterations	280

Ed25519

191.89 μs

Name	BP/Share/ECLagrange/4/3
Real Time	191891.26
Time Unit	ns
Iterations	3766

252.39 μs

Name	BP/Share/ECLagrange/4/4
Real Time	252388.67
Time Unit	ns
Iterations	2773

392.19 μs

Name	BP/Share/ECLagrange/4/6
Real Time	392190.90
Time Unit	ns
Iterations	1790

547.82 μs

Name	BP/Share/ECLagrange/4/8
Real Time	547820.94
Time Unit	ns
Iterations	1294

735.76 μs

Name	BP/Share/ECLagrange/4/10
Real Time	735758.12
Time Unit	ns
Iterations	1000

1233.10 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1233101.24
Time Unit	ns
Iterations	571

2946.72 μs

Name	BP/Share/ECLagrange/4/32
Real Time	2946722.68
Time Unit	ns
Iterations	238

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

1.13 ms

Name	ZK/DL/Prover/3
Real Time	1125896.92
Time Unit	ns
Iterations	690

0.77 ms

Name	ZK/DL/Verify/3
Real Time	770762.34
Time Unit	ns
Iterations	917

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.69 ms

Name	ZK/DL/Prover/4
Real Time	685260.36
Time Unit	ns
Iterations	1021

3.53 ms

Name	ZK/DL/Verify/4
Real Time	3532696.37
Time Unit	ns
Iterations	199

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	78382.89
Time Unit	ns
Iterations	9047

0.14 ms

Name	ZK/DH/Verify/3
Real Time	140232.33
Time Unit	ns
Iterations	5075

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com (secp256k1)

2.79 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2789990.12
Time Unit	ns
Iterations	253

1.07 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1073465.59
Time Unit	ns
Iterations	652

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	78441.19
Time Unit	ns
Iterations	8969

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	144274.28
Time Unit	ns
Iterations	4873

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.27 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	265642.21
Time Unit	ns
Iterations	2736

0.39 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	389729.61
Time Unit	ns
Iterations	1900

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.38 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4384649.89
Time Unit	ns
Iterations	159

1.00 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	1003256.65
Time Unit	ns
Iterations	701

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.61 ms

Name	ZK/ValidPaillier/Prover
Real Time	23612227.43
Time Unit	ns
Iterations	30

22.65 ms

Name	ZK/ValidPaillier/Verify
Real Time	22651334.81
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.82 ms

Name	ZK/PaillierZero/Prover
Real Time	92818940.12
Time Unit	ns
Iterations	8

87.84 ms

Name	ZK/PaillierZero/Verify
Real Time	87840811.25
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

92.04 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	92039310.13
Time Unit	ns
Iterations	8

189.79 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	189788395.50
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

332.92 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332922681.00
Time Unit	ns
Iterations	2

17.68 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17679137.00
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.47 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48466891.14
Time Unit	ns
Iterations	14

99.48 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99483075.43
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

384.05 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	384053008.50
Time Unit	ns
Iterations	2

117.04 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	117037299.00
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

388.23 ms

Name	ZK/PDL/Prover
Real Time	388232437.50
Time Unit	ns
Iterations	2

127.12 ms

Name	ZK/PDL/Verify
Real Time	127119230.00
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

298.12 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	298119980.00
Time Unit	ns
Iterations	2

298.78 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	298775609.00
Time Unit	ns
Iterations	2

34.13 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

1.13 ms

Name	ZK/DL/Prover/3
Real Time	1125896.92
Time Unit	ns
Iterations	690

0.77 ms

Name	ZK/DL/Verify/3
Real Time	770762.34
Time Unit	ns
Iterations	917

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.77 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1774760.54
Time Unit	ns
Iterations	400

2.28 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2278065.86
Time Unit	ns
Iterations	310

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

4.34 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	4336631.64
Time Unit	ns
Iterations	170

5.64 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5637205.51
Time Unit	ns
Iterations	124

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

12.78 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	12780287.00
Time Unit	ns
Iterations	54

28.23 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	28232969.76
Time Unit	ns
Iterations	25

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.69 ms

Name	ZK/DL/Prover/4
Real Time	685260.36
Time Unit	ns
Iterations	1021

3.53 ms

Name	ZK/DL/Verify/4
Real Time	3532696.37
Time Unit	ns
Iterations	199

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.32 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1315724.11
Time Unit	ns
Iterations	536

11.58 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	11583980.25
Time Unit	ns
Iterations	61

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.90 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3896437.17
Time Unit	ns
Iterations	184

38.12 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	38124043.17
Time Unit	ns
Iterations	18

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

12.42 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	12416997.11
Time Unit	ns
Iterations	56

213.18 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	213178405.67
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	511.77
Time Unit	ns
Iterations	1369432

0.02 KB

Name
Real Time
Time Unit
Iterations

9.80 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9801522.25
Time Unit	ns
Iterations	71

1.03 KB

Name
Real Time
Time Unit
Iterations

9.27 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9274893.55
Time Unit	ns
Iterations	75

9.80 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9801522.25
Time Unit	ns
Iterations	71

9.28 ms

Name	sum
Real Time	9275405.32
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

23.61 ms

Name	ZK/ValidPaillier/Prover
Real Time	23612227.43
Time Unit	ns
Iterations	30

22.65 ms

Name	ZK/ValidPaillier/Verify
Real Time	22651334.81
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.46 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33464913.86
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	2056.41
Time Unit	ns
Iterations	333214

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierZero-Int/P3
Real Time	353664.36
Time Unit	ns
Iterations	1969

3.12 KB

Name
Real Time
Time Unit
Iterations

35.25 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35254746.10
Time Unit	ns
Iterations	20

33.82 ms

Name	sum
Real Time	33818578.22
Time Unit	ns
Iterations	-1

35.26 ms

Name	sum
Real Time	35256802.51
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

92.82 ms

Name	ZK/PaillierZero/Prover
Real Time	92818940.12
Time Unit	ns
Iterations	8

87.84 ms

Name	ZK/PaillierZero/Verify
Real Time	87840811.25
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.66 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35660086.68
Time Unit	ns
Iterations	19

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	598.91
Time Unit	ns
Iterations	1090920

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	711005.53
Time Unit	ns
Iterations	911

0.00 KB

Name
Real Time
Time Unit
Iterations

73.77 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73766444.56
Time Unit	ns
Iterations	9

36.37 ms

Name	sum
Real Time	36371092.21
Time Unit	ns
Iterations	-1

73.77 ms

Name	sum
Real Time	73767043.46
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

92.04 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	92039310.13
Time Unit	ns
Iterations	8

189.79 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	189788395.50
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.68 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129675817.20
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	519.69
Time Unit	ns
Iterations	1355473

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	5612.87
Time Unit	ns
Iterations	108939

27.88 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	4584.63
Time Unit	ns
Iterations	117707

129.68 ms

Name	sum
Real Time	129681430.07
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	5104.32
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

332.92 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332922681.00
Time Unit	ns
Iterations	2

17.68 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17679137.00
Time Unit	ns
Iterations	40

Paillier Pedersen Equal

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

20.54 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20542955.12
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	661.16
Time Unit	ns
Iterations	1068593

0.01 KB

Name
Real Time
Time Unit
Iterations

0.36 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	355365.02
Time Unit	ns
Iterations	1958

3.81 KB

Name
Real Time
Time Unit
Iterations

43.97 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43966299.56
Time Unit	ns
Iterations	16

20.90 ms

Name	sum
Real Time	20898320.14
Time Unit	ns
Iterations	-1

43.97 ms

Name	sum
Real Time	43966960.72
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

48.47 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48466891.14
Time Unit	ns
Iterations	14

99.48 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99483075.43
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.44 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10443757.72
Time Unit	ns
Iterations	67

6.48 ms

Name	PVE/vencrypt/Verify/0
Real Time	6480167.17
Time Unit	ns
Iterations	109

7.26 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7263028.27
Time Unit	ns
Iterations	97

Batch(4) - RSA2048

19.04 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	19042694.49
Time Unit	ns
Iterations	37

14.83 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14833918.51
Time Unit	ns
Iterations	47

15.80 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	15802236.18
Time Unit	ns
Iterations	45

Batch(16) - RSA2048

50.14 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	50142989.50
Time Unit	ns
Iterations	14

45.50 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	45497680.53
Time Unit	ns
Iterations	15

47.07 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	47065005.80
Time Unit	ns
Iterations	15

Basic - P-256

20.95 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	20948411.76
Time Unit	ns
Iterations	34

11.65 ms

Name	PVE/vencrypt/Verify/1
Real Time	11654901.12
Time Unit	ns
Iterations	60

11.81 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	11811308.22
Time Unit	ns
Iterations	60

Batch(4) - P-256

31.53 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31529371.10
Time Unit	ns
Iterations	20

20.49 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20492271.11
Time Unit	ns
Iterations	35

20.33 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20333937.47
Time Unit	ns
Iterations	34

Batch(16) - P-256

60.69 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	60689436.64
Time Unit	ns
Iterations	11

50.49 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	50486622.21
Time Unit	ns
Iterations	14

53.49 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	53487208.69
Time Unit	ns
Iterations	13

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

365.99 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	365985320.50
Time Unit	ns
Iterations	2

218.06 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	218055514.67
Time Unit	ns
Iterations	3

227.17 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	227166355.80
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.32 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6321651.22
Time Unit	ns
Iterations	111

12.55 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12550518.91
Time Unit	ns
Iterations	55

25.22 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	25220824.74
Time Unit	ns
Iterations	27

50.49 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	50487347.80
Time Unit	ns
Iterations	10

99.05 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	99050052.57
Time Unit	ns
Iterations	7

196.95 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	196945614.25
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.77 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26773514.74
Time Unit	ns
Iterations	27

50.90 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	50904512.93
Time Unit	ns
Iterations	14

100.81 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	100814327.00
Time Unit	ns
Iterations	7

200.14 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	200138335.67
Time Unit	ns
Iterations	3

397.73 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	397726860.50
Time Unit	ns
Iterations	2

798.92 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	798921030.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.50 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3496460.08
Time Unit	ns
Iterations	201

7.10 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	7101512.97
Time Unit	ns
Iterations	100

14.31 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	14314979.96
Time Unit	ns
Iterations	49

27.89 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27887442.12
Time Unit	ns
Iterations	25

55.41 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55410399.77
Time Unit	ns
Iterations	13

110.88 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	110876529.50
Time Unit	ns
Iterations	6

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

Number of OTs

2048

4096

65536

Step 1 (S → R)

21.59 ms

Name	MPC/OT/FullOT/Step1_S2R/2048
Real Time	21588004.00
Time Unit	ns
Iterations	33

21.59 ms

Name	MPC/OT/FullOT/Step1_S2R/4096
Real Time	21590967.67
Time Unit	ns
Iterations	33

21.48 ms

Name	MPC/OT/FullOT/Step1_S2R/65536
Real Time	21478953.37
Time Unit	ns
Iterations	32

Step 2 (R → S)

109.52 ms

Name	MPC/OT/FullOT/Step2_R2S/2048
Real Time	109521903.00
Time Unit	ns
Iterations	6

110.46 ms

Name	MPC/OT/FullOT/Step2_R2S/4096
Real Time	110459676.00
Time Unit	ns
Iterations	6

143.06 ms

Name	MPC/OT/FullOT/Step2_R2S/65536
Real Time	143056494.40
Time Unit	ns
Iterations	5

Step 3 (S → R)

126.91 ms

Name	MPC/OT/FullOT/Step3_S2R/2048
Real Time	126906863.33
Time Unit	ns
Iterations	6

130.97 ms

Name	MPC/OT/FullOT/Step3_S2R/4096
Real Time	130971229.00
Time Unit	ns
Iterations	5

258.89 ms

Name	MPC/OT/FullOT/Step3_S2R/65536
Real Time	258888822.00
Time Unit	ns
Iterations	3

Step 4 (R output)

127.62 ms

Name	MPC/OT/FullOT/OutputR/2048
Real Time	127617294.67
Time Unit	ns
Iterations	6

131.81 ms

Name	MPC/OT/FullOT/OutputR/4096
Real Time	131809462.20
Time Unit	ns
Iterations	5

284.22 ms

Name	MPC/OT/FullOT/OutputR/65536
Real Time	284215378.00
Time Unit	ns
Iterations	2

Agree Random - 256 bits

msg

Total Time

round 1

72.48 μs

Name	AgreeRandom-2P/1/1/256
Real Time	72478.67
Time Unit	ns
Iterations	10000

45.18 μs

Name	AgreeRandom-2P/1/2/256
Real Time	45175.63
Time Unit	ns
Iterations	10000

message 1

round 2

0.58 μs

Name	AgreeRandom-2P/2/1/256
Real Time	575.60
Time Unit	ns
Iterations	10000

9.78 μs

Name	AgreeRandom-2P/2/2/256
Real Time	9779.50
Time Unit	ns
Iterations	10000

message 2

round 3

0.33 μs

Name	AgreeRandom-2P/3/1/256
Real Time	330.49
Time Unit	ns
Iterations	10000

0.52 μs

Name	AgreeRandom-2P/3/2/256
Real Time	516.28
Time Unit	ns
Iterations	10000

message 3

Output Round

40.07 μs

Name	AgreeRandom-2P/4/1/256
Real Time	40069.47
Time Unit	ns
Iterations	10000

59.82 μs

Name	AgreeRandom-2P/4/2/256
Real Time	59820.68
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

71.99 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	71989.62
Time Unit	ns
Iterations	10000

46.06 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	46058.37
Time Unit	ns
Iterations	10000

message 1

round 2

0.58 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	581.79
Time Unit	ns
Iterations	10000

10.08 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	10078.48
Time Unit	ns
Iterations	10000

message 2

round 3

0.40 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	403.04
Time Unit	ns
Iterations	10000

0.63 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	631.22
Time Unit	ns
Iterations	10000

message 3

Output Round

40.65 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	40645.81
Time Unit	ns
Iterations	10000

59.95 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	59951.76
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

72.96 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	72961.65
Time Unit	ns
Iterations	10000

46.80 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	46800.50
Time Unit	ns
Iterations	10000

message 1

round 2

0.59 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	592.81
Time Unit	ns
Iterations	10000

10.14 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	10135.55
Time Unit	ns
Iterations	10000

message 2

round 3

0.44 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	437.43
Time Unit	ns
Iterations	10000

0.90 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	899.46
Time Unit	ns
Iterations	10000

message 3

Output Round

43.07 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	43073.80
Time Unit	ns
Iterations	10000

61.03 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	61034.32
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

64.73 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	64727.71
Time Unit	ns
Iterations	10000

45.33 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	45330.44
Time Unit	ns
Iterations	10000

message 1

round 2

0.48 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	483.22
Time Unit	ns
Iterations	10000

8.70 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	8697.96
Time Unit	ns
Iterations	10000

message 2

Output Round

47.56 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	47559.34
Time Unit	ns
Iterations	10000

56.32 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	56315.64
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

65.58 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	65582.59
Time Unit	ns
Iterations	10000

45.77 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	45768.61
Time Unit	ns
Iterations	10000

message 1

round 2

0.49 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	490.79
Time Unit	ns
Iterations	10000

9.14 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	9136.81
Time Unit	ns
Iterations	10000

message 2

Output Round

51.34 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	51336.34
Time Unit	ns
Iterations	10000

61.04 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	61040.81
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

65.27 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	65271.96
Time Unit	ns
Iterations	10000

45.77 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	45771.19
Time Unit	ns
Iterations	10000

message 1

round 2

0.49 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	494.08
Time Unit	ns
Iterations	10000

9.33 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	9331.86
Time Unit	ns
Iterations	10000

message 2

Output Round

50.29 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	50290.33
Time Unit	ns
Iterations	10000

60.71 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	60710.22
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

67.45 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	67451.57
Time Unit	ns
Iterations	10000

45.94 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	45943.04
Time Unit	ns
Iterations	10000

message 1

round 2

0.48 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	477.76
Time Unit	ns
Iterations	10000

8.51 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	8507.89
Time Unit	ns
Iterations	10000

message 2

Output Round

52.09 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	52092.97
Time Unit	ns
Iterations	10000

57.43 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	57434.34
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

66.78 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	66777.60
Time Unit	ns
Iterations	10000

47.43 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	47426.05
Time Unit	ns
Iterations	10000

message 1

round 2

0.49 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	494.03
Time Unit	ns
Iterations	10000

9.36 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	9360.99
Time Unit	ns
Iterations	10000

message 2

Output Round

50.19 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	50188.57
Time Unit	ns
Iterations	10000

60.76 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	60760.53
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.09 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	93715.00
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	66103.40
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	551.90
Time Unit	ns
Iterations	10

0.84 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	839836.90
Time Unit	ns
Iterations	10

message 2

round 3

6.13 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	6125019.10
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2309.40
Time Unit	ns
Iterations	10

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	62724.50
Time Unit	ns
Iterations	10

5.37 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	5366320.10
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.08 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	76447.72
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	45993.97
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	561.50
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	9774.20
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	392.81
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	551.80
Time Unit	ns
Iterations	200

message 3

Output Round

0.04 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	41541.44
Time Unit	ns
Iterations	200

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	60072.37
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	88653.26
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	45393.32
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	475.46
Time Unit	ns
Iterations	50

1.17 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1173317.62
Time Unit	ns
Iterations	50

message 2

round 3

8.32 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	8321517.20
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2806.02
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	20623.40
Time Unit	ns
Iterations	50

7.19 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	7194806.86
Time Unit	ns
Iterations	50

message 4

Output Round

0.22 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	215983.06
Time Unit	ns
Iterations	50

0.11 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	106985.76
Time Unit	ns
Iterations	50

Sign - #Msg=4

msg

Total Time

round 1

0.13 ms

Name	Schnorr-2PC-Sign-2P/1/1/4
Real Time	127925.92
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	48235.24
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	599.10
Time Unit	ns
Iterations	50

1.63 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1634151.10
Time Unit	ns
Iterations	50

message 2

round 3

15.69 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	15693893.44
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2903.92
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	53273.66
Time Unit	ns
Iterations	50

14.02 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	14022100.40
Time Unit	ns
Iterations	50

message 4

Output Round

0.61 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	611702.78
Time Unit	ns
Iterations	50

0.10 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	100366.64
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.28 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	280364.20
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	48403.32
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	610.10
Time Unit	ns
Iterations	50

4.46 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4464429.64
Time Unit	ns
Iterations	50

message 2

round 3

45.59 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	45592675.74
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	3399.88
Time Unit	ns
Iterations	50

message 3

round 4

0.16 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	161483.28
Time Unit	ns
Iterations	50

41.70 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	41697743.38
Time Unit	ns
Iterations	50

message 4

Output Round

2.13 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2126623.04
Time Unit	ns
Iterations	50

0.14 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	140771.40
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

197.53 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	197527423.75
Time Unit	ns
Iterations	20

0.08 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	75003.20
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2246.10
Time Unit	ns
Iterations	20

1.44 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1443283.35
Time Unit	ns
Iterations	20

message 2

round 3

18.40 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	18402887.25
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2154.05
Time Unit	ns
Iterations	20

message 3

Output Round

0.17 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	166855.15
Time Unit	ns
Iterations	20

77.63 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	77629913.45
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

100.21 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	100209067.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	48769.20
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1442.60
Time Unit	ns
Iterations	20

0.32 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	323718.25
Time Unit	ns
Iterations	20

message 2

round 3

10.89 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10885859.20
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1016.80
Time Unit	ns
Iterations	20

message 3

Output Round

0.14 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	137082.60
Time Unit	ns
Iterations	20

87.85 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	87847449.00
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.65 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1647942.15
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	52465.25
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	604.10
Time Unit	ns
Iterations	20

1.58 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1584594.80
Time Unit	ns
Iterations	20

message 2

round 3

1.96 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1961724.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	3047.65
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	3671.75
Time Unit	ns
Iterations	20

43.01 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	43007195.60
Time Unit	ns
Iterations	20

message 4

Output Round

23.77 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23771386.65
Time Unit	ns
Iterations	20

0.13 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	128461.05
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.12 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	2117645.10
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	50719.50
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	603.75
Time Unit	ns
Iterations	20

2.04 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	2037924.70
Time Unit	ns
Iterations	20

message 2

round 3

2.89 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2891157.65
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	3134.70
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	4211.85
Time Unit	ns
Iterations	20

167.85 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	167849223.30
Time Unit	ns
Iterations	20

message 4

Output Round

96.70 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	96701198.80
Time Unit	ns
Iterations	20

0.15 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	152453.85
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

5.05 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	5054153.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	53998.05
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	632.20
Time Unit	ns
Iterations	20

5.08 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	5079390.15
Time Unit	ns
Iterations	20

message 2

round 3

6.89 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6886558.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3389.80
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	5089.25
Time Unit	ns
Iterations	20

667.82 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	667815112.25
Time Unit	ns
Iterations	20

message 4

Output Round

376.71 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	376713527.70
Time Unit	ns
Iterations	20

0.21 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	211401.65
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.68 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1676795.85
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	49385.95
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	787.50
Time Unit	ns
Iterations	20

1.54 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1536835.75
Time Unit	ns
Iterations	20

message 2

round 3

1.97 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1966591.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	3274.05
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	3924.30
Time Unit	ns
Iterations	20

13.08 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13076226.80
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

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

0.00 ms

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

Sign with Global Abort - #Msg=4

msg

Total Time

round 1

2.14 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2139245.20
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	50472.35
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/1/4
Real Time	807.40
Time Unit	ns
Iterations	20

2.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	2009607.00
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	2868991.80
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	3329.70
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	4278.40
Time Unit	ns
Iterations	20

47.83 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47832572.90
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

5.89 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	5890033.40
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	55969.45
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	756.85
Time Unit	ns
Iterations	20

5.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	5061508.55
Time Unit	ns
Iterations	20

message 2

round 3

6.86 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6860999.90
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	3211.55
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/16
Real Time	5062.35
Time Unit	ns
Iterations	20

184.37 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	184365404.25
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

0.29 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	286641.00
Time Unit	ns
Iterations	1

0.19 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	185403.00
Time Unit	ns
Iterations	1

0.23 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	226319.00
Time Unit	ns
Iterations	1

0.18 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	182009.00
Time Unit	ns
Iterations	1

message 1

round 2

1.19 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1192841.00
Time Unit	ns
Iterations	1

1.18 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1179175.00
Time Unit	ns
Iterations	1

1.28 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1284010.00
Time Unit	ns
Iterations	1

1.28 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1276245.00
Time Unit	ns
Iterations	1

message 2

Output Round

15.80 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	15796272.00
Time Unit	ns
Iterations	1

15.81 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	15805376.00
Time Unit	ns
Iterations	1

15.94 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	15943291.00
Time Unit	ns
Iterations	1

15.80 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	15804306.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

3.60 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	3598227.50
Time Unit	ns
Iterations	10

3.61 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	3609077.40
Time Unit	ns
Iterations	10

3.67 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	3666132.60
Time Unit	ns
Iterations	10

3.67 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	3669450.20
Time Unit	ns
Iterations	10

message 1

round 2

2.06 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2056626.00
Time Unit	ns
Iterations	10

2.06 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2055011.90
Time Unit	ns
Iterations	10

2.06 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2055997.80
Time Unit	ns
Iterations	10

2.08 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2079232.10
Time Unit	ns
Iterations	10

message 2

Output Round

53.58 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	53577876.10
Time Unit	ns
Iterations	10

52.69 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	52694082.50
Time Unit	ns
Iterations	10

53.03 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	53034455.10
Time Unit	ns
Iterations	10

53.67 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	53667004.20
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.22 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	223395.00
Time Unit	ns
Iterations	10

0.23 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	227068.80
Time Unit	ns
Iterations	10

0.23 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	225171.60
Time Unit	ns
Iterations	10

0.23 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	232708.10
Time Unit	ns
Iterations	10

message 1

round 2

2.41 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2413990.90
Time Unit	ns
Iterations	10

2.14 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2135199.70
Time Unit	ns
Iterations	10

2.19 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2190330.20
Time Unit	ns
Iterations	10

2.17 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2174226.50
Time Unit	ns
Iterations	10

message 2

round 3

35.14 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	35138421.10
Time Unit	ns
Iterations	10

35.14 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	35137542.60
Time Unit	ns
Iterations	10

35.11 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	35111038.50
Time Unit	ns
Iterations	10

37.22 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	37217330.50
Time Unit	ns
Iterations	10

message 3

Output Round

0.62 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	616329.90
Time Unit	ns
Iterations	10

0.22 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	217557.70
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	245942.50
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	272898.40
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.20 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	195670.60
Time Unit	ns
Iterations	10

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	188522.30
Time Unit	ns
Iterations	10

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	194768.60
Time Unit	ns
Iterations	10

0.21 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	208401.50
Time Unit	ns
Iterations	10

message 1

round 2

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1350061.80
Time Unit	ns
Iterations	10

1.38 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1378926.60
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1354670.40
Time Unit	ns
Iterations	10

1.36 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1362153.50
Time Unit	ns
Iterations	10

message 2

Output Round

3.25 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3252419.60
Time Unit	ns
Iterations	10

3.28 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3275346.20
Time Unit	ns
Iterations	10

3.27 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3267312.60
Time Unit	ns
Iterations	10

3.26 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3259609.90
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.87 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4873472.60
Time Unit	ns
Iterations	10

4.96 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4961310.00
Time Unit	ns
Iterations	10

4.87 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4865667.00
Time Unit	ns
Iterations	10

4.82 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4819015.70
Time Unit	ns
Iterations	10

message 1

round 2

1.15 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1154749.10
Time Unit	ns
Iterations	10

1.16 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1157351.10
Time Unit	ns
Iterations	10

1.15 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1151660.60
Time Unit	ns
Iterations	10

1.17 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1167051.10
Time Unit	ns
Iterations	10

message 2

Output Round

11.16 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	11157262.30
Time Unit	ns
Iterations	10

11.21 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11205895.20
Time Unit	ns
Iterations	10

11.19 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11188507.20
Time Unit	ns
Iterations	10

12.66 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	12655273.60
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	234485.00
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	234647.60
Time Unit	ns
Iterations	10

0.24 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	237070.20
Time Unit	ns
Iterations	10

0.24 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	241319.40
Time Unit	ns
Iterations	10

message 1

round 2

69.61 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69608920.70
Time Unit	ns
Iterations	10

47.99 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	47990689.70
Time Unit	ns
Iterations	10

24.34 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24343130.40
Time Unit	ns
Iterations	10

1.47 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1472011.80
Time Unit	ns
Iterations	10

message 2

round 3

3.23 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3234380.20
Time Unit	ns
Iterations	10

96.68 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	96679775.60
Time Unit	ns
Iterations	10

189.06 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	189061094.10
Time Unit	ns
Iterations	10

282.10 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	282099490.20
Time Unit	ns
Iterations	10

message 3

round 4

73.15 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	73148726.70
Time Unit	ns
Iterations	10

52.85 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	52852409.90
Time Unit	ns
Iterations	10

30.39 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	30387263.70
Time Unit	ns
Iterations	10

6.84 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6844814.80
Time Unit	ns
Iterations	10

message 4

round 5

9.92 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9922361.50
Time Unit	ns
Iterations	10

13.52 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	13520925.80
Time Unit	ns
Iterations	10

16.03 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	16029635.80
Time Unit	ns
Iterations	10

18.68 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	18679523.20
Time Unit	ns
Iterations	10

message 5

round 6

11.96 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11961320.40
Time Unit	ns
Iterations	10

10.76 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10763580.90
Time Unit	ns
Iterations	10

9.48 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9480208.60
Time Unit	ns
Iterations	10

8.17 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	8169484.20
Time Unit	ns
Iterations	10

message 6

round 7

22.47 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	22470658.70
Time Unit	ns
Iterations	10

22.92 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	22921616.70
Time Unit	ns
Iterations	10

23.68 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	23679306.20
Time Unit	ns
Iterations	10

22.47 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	22467740.70
Time Unit	ns
Iterations	10

message 7

round 8

9.57 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9569585.70
Time Unit	ns
Iterations	10

9.57 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9567224.90
Time Unit	ns
Iterations	10

9.69 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9689901.50
Time Unit	ns
Iterations	10

9.67 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9669747.60
Time Unit	ns
Iterations	10

message 8

round 9

2.91 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2913734.70
Time Unit	ns
Iterations	10

3.14 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	3137131.80
Time Unit	ns
Iterations	10

3.05 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	3052693.30
Time Unit	ns
Iterations	10

3.11 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	3113287.90
Time Unit	ns
Iterations	10

message 9

Output Round

3.65 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	3649595.20
Time Unit	ns
Iterations	10

2.94 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	2940640.50
Time Unit	ns
Iterations	10

5.64 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	5642873.10
Time Unit	ns
Iterations	10

3.83 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	3832963.00
Time Unit	ns
Iterations	10

Benchmark Context

Basic Operation

Big Number

Elliptic Curve

Crypto -- Symmetric

Symmetric

Crypto - Public Key Encryption

ElGamal Commitment

Paillier

TDH2

Crypto -- DRBG

String

Number

Curve

Commitment

HMAC

Pedersen

ElGamal

Secret Sharing

Shamir Secret Sharing

Horner's rule

Lagrange interpolation

Zero Knowledge

Non-interactive Zero Knowledge

Batched UC ZK-DL

Valid Paillier

Paillier Zero

Two Paillier Equal

Range Pedersen

Paillier Pedersen Equal

PVE (Publicly Verifiable Encryption)

PVE

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