Benchmark Context

Date: 2026-01-07T18:59:45+00:00
Commit: f36b009747054b1dba30b9affde4409f76976af0
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3236

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.07 μs

Name	Core/BN/ModAdd/256
Real Time	66.44
Time Unit	ns
Iterations	10546317

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	77.83
Time Unit	ns
Iterations	9049892

0.10 μs

Name	Core/BN/ModAdd/1024
Real Time	101.70
Time Unit	ns
Iterations	6858432

0.17 μs

Name	Core/BN/ModAdd/2048
Real Time	171.67
Time Unit	ns
Iterations	4068637

0.27 μs

Name	Core/BN/ModAdd/4096
Real Time	271.84
Time Unit	ns
Iterations	2572139

Mod Sub

0.07 μs

Name	Core/BN/ModSubtract/256
Real Time	67.62
Time Unit	ns
Iterations	10399874

0.08 μs

Name	Core/BN/ModSubtract/512
Real Time	79.34
Time Unit	ns
Iterations	8846069

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	108.21
Time Unit	ns
Iterations	6398719

0.18 μs

Name	Core/BN/ModSubtract/2048
Real Time	183.64
Time Unit	ns
Iterations	3857117

0.32 μs

Name	Core/BN/ModSubtract/4096
Real Time	324.73
Time Unit	ns
Iterations	2135946

Mod Mul

0.15 μs

Name	Core/BN/ModMultiply/256
Real Time	148.94
Time Unit	ns
Iterations	4711218

0.30 μs

Name	Core/BN/ModMultiply/512
Real Time	298.40
Time Unit	ns
Iterations	2334010

0.85 μs

Name	Core/BN/ModMultiply/1024
Real Time	846.07
Time Unit	ns
Iterations	824395

2.90 μs

Name	Core/BN/ModMultiply/2048
Real Time	2895.66
Time Unit	ns
Iterations	241519

11.50 μs

Name	Core/BN/ModMultiply/4096
Real Time	11500.52
Time Unit	ns
Iterations	60862

Mod Exponentiate

16.22 μs

Name	Core/BN/ModExponentiate/256
Real Time	16221.32
Time Unit	ns
Iterations	43214

41.91 μs

Name	Core/BN/ModExponentiate/512
Real Time	41914.80
Time Unit	ns
Iterations	16724

310.79 μs

Name	Core/BN/ModExponentiate/1024
Real Time	310790.99
Time Unit	ns
Iterations	2187

2211.66 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2211662.34
Time Unit	ns
Iterations	316

16548.91 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16548907.55
Time Unit	ns
Iterations	42

Mod Invert

18.11 μs

Name	Core/BN/ModInvert/256
Real Time	18109.37
Time Unit	ns
Iterations	38635

38.33 μs

Name	Core/BN/ModInvert/512
Real Time	38331.02
Time Unit	ns
Iterations	18354

88.75 μs

Name	Core/BN/ModInvert/1024
Real Time	88752.85
Time Unit	ns
Iterations	7318

230.42 μs

Name	Core/BN/ModInvert/2048
Real Time	230417.42
Time Unit	ns
Iterations	3036

695.75 μs

Name	Core/BN/ModInvert/4096
Real Time	695753.15
Time Unit	ns
Iterations	1005

GCD

23.36 μs

Name	Core/BN/GCD/256
Real Time	23360.82
Time Unit	ns
Iterations	30562

50.66 μs

Name	Core/BN/GCD/512
Real Time	50658.98
Time Unit	ns
Iterations	13898

125.55 μs

Name	Core/BN/GCD/1024
Real Time	125548.28
Time Unit	ns
Iterations	5507

353.13 μs

Name	Core/BN/GCD/2048
Real Time	353128.90
Time Unit	ns
Iterations	1986

1137.92 μs

Name	Core/BN/GCD/4096
Real Time	1137921.05
Time Unit	ns
Iterations	612

GCD with RSA Modulus

23.39 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23392.05
Time Unit	ns
Iterations	30401

50.24 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	50235.33
Time Unit	ns
Iterations	10000

128.90 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	128899.61
Time Unit	ns
Iterations	5573

368.75 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	368751.49
Time Unit	ns
Iterations	1972

1139.64 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1139640.38
Time Unit	ns
Iterations	617

Batch(16) GCD with RSA Modulus

25.30 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25299.61
Time Unit	ns
Iterations	26791

55.82 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	55816.08
Time Unit	ns
Iterations	12629

137.74 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	137742.70
Time Unit	ns
Iterations	4949

397.62 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	397617.43
Time Unit	ns
Iterations	1763

1311.03 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1311032.76
Time Unit	ns
Iterations	534

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	364.12
Time Unit	ns
Iterations	1916704

0.31 μs

Name	Core/EC/Add/Ed25519
Real Time	311.90
Time Unit	ns
Iterations	2248849

Add (Constant Time)

0.37 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	372.08
Time Unit	ns
Iterations	1876392

0.31 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	313.29
Time Unit	ns
Iterations	2234626

Multiply

41.57 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41571.83
Time Unit	ns
Iterations	16853

63.76 μs

Name	Core/EC/Multiply/Ed25519
Real Time	63761.22
Time Unit	ns
Iterations	10987

Multiply (Variable Time)

32.16 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	32163.68
Time Unit	ns
Iterations	21450

63.81 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	63809.41
Time Unit	ns
Iterations	10981

Multiply Generator

19.99 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	19986.25
Time Unit	ns
Iterations	35151

14.26 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14263.72
Time Unit	ns
Iterations	49079

Multipliply Generator (Variable Time)

19.99 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	19990.17
Time Unit	ns
Iterations	34946

7.57 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7565.50
Time Unit	ns
Iterations	93667

MulAdd

61.92 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	61917.11
Time Unit	ns
Iterations	11350

79.39 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	79388.62
Time Unit	ns
Iterations	8828

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.31 μs

Name	Core/Hash/SHA256/16
Real Time	313.88
Time Unit	ns
Iterations	2221350

0.35 μs

Name	Core/Hash/SHA256/64
Real Time	350.41
Time Unit	ns
Iterations	1997164

0.48 μs

Name	Core/Hash/SHA256/256
Real Time	476.77
Time Unit	ns
Iterations	1488396

0.95 μs

Name	Core/Hash/SHA256/1024
Real Time	951.29
Time Unit	ns
Iterations	734587

2.88 μs

Name	Core/Hash/SHA256/4096
Real Time	2880.87
Time Unit	ns
Iterations	242558

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

1.06 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	1060.89
Time Unit	ns
Iterations	645706

1.09 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	1092.69
Time Unit	ns
Iterations	630169

1.21 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	1212.25
Time Unit	ns
Iterations	579481

1.69 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1693.84
Time Unit	ns
Iterations	414337

3.63 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	3627.91
Time Unit	ns
Iterations	193234

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

0.94 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	936.81
Time Unit	ns
Iterations	748754

1.65 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1645.17
Time Unit	ns
Iterations	426324

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

1.00 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	1004.19
Time Unit	ns
Iterations	666755

1.81 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1812.95
Time Unit	ns
Iterations	399461

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.96 μs

Name	BP/ElGamal/Commit/3
Real Time	82960.55
Time Unit	ns
Iterations	8440

95.50 μs

Name	BP/ElGamal/Commit/4
Real Time	95495.80
Time Unit	ns
Iterations	7275

Rerand

62.51 μs

Name	BP/ElGamal/Rerand/3
Real Time	62511.39
Time Unit	ns
Iterations	11203

80.01 μs

Name	BP/ElGamal/Rerand/4
Real Time	80010.20
Time Unit	ns
Iterations	8786

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.64
Time Unit	ns
Iterations	925516

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	664.49
Time Unit	ns
Iterations	1039243

Add Scalar

20.40 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20396.71
Time Unit	ns
Iterations	34291

7.81 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7811.12
Time Unit	ns
Iterations	89240

Mul Scalar

83.32 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83318.39
Time Unit	ns
Iterations	8397

128.40 μs

Name	BP/ElGamal/MulScalar/4
Real Time	128399.08
Time Unit	ns
Iterations	5430

Paillier

Operation \ Bit length

2048 bits

Generate Key

64.73 ms

Name	BP/Paillier/Gen
Real Time	64725919.50
Time Unit	ns
Iterations	10

Encrypt (with private key)

4.51 ms

Name	BP/Paillier/Enc
Real Time	4511618.39
Time Unit	ns
Iterations	155

Encrypt

8.56 ms

Name	BP/Paillier/Pub-Enc
Real Time	8564970.22
Time Unit	ns
Iterations	82

Decrypt

4.51 ms

Name	BP/Paillier/Dec
Real Time	4509132.97
Time Unit	ns
Iterations	155

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11587.04
Time Unit	ns
Iterations	60372

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	13573.16
Time Unit	ns
Iterations	52059

Mul-Scalar

8.33 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8329058.99
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

190.29 μs

Name	tdh2-encrypt-1P/4/256
Real Time	190294.08
Time Unit	ns
Iterations	3678

190.43 μs

Name	tdh2-encrypt-1P/30/256
Real Time	190427.93
Time Unit	ns
Iterations	3679

272.85 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	272848.88
Time Unit	ns
Iterations	2557

272.40 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	272402.47
Time Unit	ns
Iterations	2540

Verify

262.38 μs

Name	tdh2-verify-1P/4/256
Real Time	262378.03
Time Unit	ns
Iterations	3448

203.71 μs

Name	tdh2-verify-1P/30/256
Real Time	203709.32
Time Unit	ns
Iterations	3440

244.43 μs

Name	tdh2-verify-1P/4/65536
Real Time	244427.47
Time Unit	ns
Iterations	2458

284.51 μs

Name	tdh2-verify-1P/30/65536
Real Time	284505.36
Time Unit	ns
Iterations	2851

Local Decrypt

326.64 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	326642.80
Time Unit	ns
Iterations	1807

388.27 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	388273.67
Time Unit	ns
Iterations	2008

368.86 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	368857.37
Time Unit	ns
Iterations	1798

380.44 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	380443.25
Time Unit	ns
Iterations	1677

Combine

916.21 μs

Name	tdh2-combine-1P/4/256
Real Time	916210.22
Time Unit	ns
Iterations	767

5479.35 μs

Name	tdh2-combine-1P/30/256
Real Time	5479354.06
Time Unit	ns
Iterations	127

1057.80 μs

Name	tdh2-combine-1P/4/65536
Real Time	1057796.87
Time Unit	ns
Iterations	688

5558.39 μs

Name	tdh2-combine-1P/30/65536
Real Time	5558390.29
Time Unit	ns
Iterations	126

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.46 μs

Name	Crypto/DRBG/String/1024
Real Time	1462.63
Time Unit	ns
Iterations	475866

1.52 μs

Name	Crypto/DRBG/String/2048
Real Time	1524.34
Time Unit	ns
Iterations	458304

1.63 μs

Name	Crypto/DRBG/String/4096
Real Time	1628.41
Time Unit	ns
Iterations	426666

1.85 μs

Name	Crypto/DRBG/String/8192
Real Time	1853.91
Time Unit	ns
Iterations	375070

2.41 μs

Name	Crypto/DRBG/String/16384
Real Time	2410.02
Time Unit	ns
Iterations	289113

3.44 μs

Name	Crypto/DRBG/String/32768
Real Time	3441.98
Time Unit	ns
Iterations	205145

5.40 μs

Name	Crypto/DRBG/String/65536
Real Time	5396.46
Time Unit	ns
Iterations	127404

9.16 μs

Name	Crypto/DRBG/String/131072
Real Time	9160.16
Time Unit	ns
Iterations	76794

16.94 μs

Name	Crypto/DRBG/String/262144
Real Time	16940.76
Time Unit	ns
Iterations	41831

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.70 μs

Name	Crypto/DRBG/Number/256
Real Time	1703.01
Time Unit	ns
Iterations	410810

1.82 μs

Name	Crypto/DRBG/Number/512
Real Time	1816.95
Time Unit	ns
Iterations	382911

2.03 μs

Name	Crypto/DRBG/Number/1024
Real Time	2027.95
Time Unit	ns
Iterations	346757

2.41 μs

Name	Crypto/DRBG/Number/2048
Real Time	2408.45
Time Unit	ns
Iterations	289901

3.19 μs

Name	Crypto/DRBG/Number/4096
Real Time	3187.05
Time Unit	ns
Iterations	219897

Curve

secp256k1

Ed25519

DRBG-Curve

22.12 μs

Name	Crypto/DRBG/Curve/3
Real Time	22124.87
Time Unit	ns
Iterations	31672

16.63 μs

Name	Crypto/DRBG/Curve/4
Real Time	16627.39
Time Unit	ns
Iterations	42230

HMAC

#big number

Commit

2.63 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2632.16
Time Unit	ns
Iterations	266058

2.90 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2903.65
Time Unit	ns
Iterations	241804

3.21 μs

Name	Crypto/Commitment/ComBn/6
Real Time	3209.01
Time Unit	ns
Iterations	217914

3.45 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3450.03
Time Unit	ns
Iterations	201750

3.69 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3691.35
Time Unit	ns
Iterations	188956

3.94 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3938.03
Time Unit	ns
Iterations	176825

4.23 μs

Name	Crypto/Commitment/ComBn/14
Real Time	4225.04
Time Unit	ns
Iterations	165791

4.47 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4468.14
Time Unit	ns
Iterations	156406

4.74 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4742.15
Time Unit	ns
Iterations	147839

4.99 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4989.82
Time Unit	ns
Iterations	140057

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

82.96 μs

Name	BP/ElGamal/Commit/3
Real Time	82960.55
Time Unit	ns
Iterations	8440

95.50 μs

Name	BP/ElGamal/Commit/4
Real Time	95495.80
Time Unit	ns
Iterations	7275

Rerand

62.51 μs

Name	BP/ElGamal/Rerand/3
Real Time	62511.39
Time Unit	ns
Iterations	11203

80.01 μs

Name	BP/ElGamal/Rerand/4
Real Time	80010.20
Time Unit	ns
Iterations	8786

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.64
Time Unit	ns
Iterations	925516

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	664.49
Time Unit	ns
Iterations	1039243

Add Scalar

20.40 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20396.71
Time Unit	ns
Iterations	34291

7.81 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7811.12
Time Unit	ns
Iterations	89240

Mul Scalar

83.32 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83318.39
Time Unit	ns
Iterations	8397

128.40 μs

Name	BP/ElGamal/MulScalar/4
Real Time	128399.08
Time Unit	ns
Iterations	5430

Shamir Secret Sharing

m\n

16.58 μs

Name	BP/Share/Shamir/10/2
Real Time	16584.67
Time Unit	ns
Iterations	42392

18.68 μs

Name	BP/Share/Shamir/10/3
Real Time	18683.27
Time Unit	ns
Iterations	37456

20.73 μs

Name	BP/Share/Shamir/10/4
Real Time	20726.60
Time Unit	ns
Iterations	33779

22.78 μs

Name	BP/Share/Shamir/10/5
Real Time	22775.65
Time Unit	ns
Iterations	30682

24.73 μs

Name	BP/Share/Shamir/10/6
Real Time	24729.52
Time Unit	ns
Iterations	28226

26.78 μs

Name	BP/Share/Shamir/10/7
Real Time	26776.10
Time Unit	ns
Iterations	26055

34.21 μs

Name	BP/Share/Shamir/20/2
Real Time	34206.79
Time Unit	ns
Iterations	20451

38.33 μs

Name	BP/Share/Shamir/20/3
Real Time	38332.51
Time Unit	ns
Iterations	18285

42.61 μs

Name	BP/Share/Shamir/20/4
Real Time	42605.35
Time Unit	ns
Iterations	16437

46.56 μs

Name	BP/Share/Shamir/20/5
Real Time	46562.05
Time Unit	ns
Iterations	15017

50.84 μs

Name	BP/Share/Shamir/20/6
Real Time	50837.97
Time Unit	ns
Iterations	13826

54.84 μs

Name	BP/Share/Shamir/20/7
Real Time	54841.79
Time Unit	ns
Iterations	12699

51.77 μs

Name	BP/Share/Shamir/30/2
Real Time	51768.14
Time Unit	ns
Iterations	13587

58.14 μs

Name	BP/Share/Shamir/30/3
Real Time	58135.74
Time Unit	ns
Iterations	12080

64.36 μs

Name	BP/Share/Shamir/30/4
Real Time	64357.47
Time Unit	ns
Iterations	10949

70.63 μs

Name	BP/Share/Shamir/30/5
Real Time	70627.79
Time Unit	ns
Iterations	9926

76.66 μs

Name	BP/Share/Shamir/30/6
Real Time	76655.96
Time Unit	ns
Iterations	9146

83.09 μs

Name	BP/Share/Shamir/30/7
Real Time	83094.83
Time Unit	ns
Iterations	8496

Horner's rule

m\n

256 bit field

0.48 μs

Name	BP/Share/Horner/3
Real Time	476.10
Time Unit	ns
Iterations	1461047

0.69 μs

Name	BP/Share/Horner/4
Real Time	688.30
Time Unit	ns
Iterations	1016766

1.11 μs

Name	BP/Share/Horner/6
Real Time	1106.31
Time Unit	ns
Iterations	632936

1.53 μs

Name	BP/Share/Horner/8
Real Time	1528.54
Time Unit	ns
Iterations	454951

1.95 μs

Name	BP/Share/Horner/10
Real Time	1945.31
Time Unit	ns
Iterations	360483

3.21 μs

Name	BP/Share/Horner/16
Real Time	3205.88
Time Unit	ns
Iterations	218756

6.56 μs

Name	BP/Share/Horner/32
Real Time	6560.76
Time Unit	ns
Iterations	107348

secp256k1

83.84 μs

Name	BP/Share/ECHorner/3/3
Real Time	83841.34
Time Unit	ns
Iterations	8198

125.80 μs

Name	BP/Share/ECHorner/3/4
Real Time	125798.38
Time Unit	ns
Iterations	5558

216.68 μs

Name	BP/Share/ECHorner/3/6
Real Time	216680.72
Time Unit	ns
Iterations	3319

293.72 μs

Name	BP/Share/ECHorner/3/8
Real Time	293715.18
Time Unit	ns
Iterations	2381

377.38 μs

Name	BP/Share/ECHorner/3/10
Real Time	377379.89
Time Unit	ns
Iterations	1853

628.59 μs

Name	BP/Share/ECHorner/3/16
Real Time	628587.22
Time Unit	ns
Iterations	1096

1300.30 μs

Name	BP/Share/ECHorner/3/32
Real Time	1300296.86
Time Unit	ns
Iterations	539

Ed25519

128.79 μs

Name	BP/Share/ECHorner/4/3
Real Time	128794.80
Time Unit	ns
Iterations	5448

192.43 μs

Name	BP/Share/ECHorner/4/4
Real Time	192431.94
Time Unit	ns
Iterations	3634

321.18 μs

Name	BP/Share/ECHorner/4/6
Real Time	321177.79
Time Unit	ns
Iterations	2181

448.95 μs

Name	BP/Share/ECHorner/4/8
Real Time	448950.78
Time Unit	ns
Iterations	1552

578.33 μs

Name	BP/Share/ECHorner/4/10
Real Time	578331.32
Time Unit	ns
Iterations	1212

969.70 μs

Name	BP/Share/ECHorner/4/16
Real Time	969702.24
Time Unit	ns
Iterations	726

1989.72 μs

Name	BP/Share/ECHorner/4/32
Real Time	1989715.55
Time Unit	ns
Iterations	351

Lagrange interpolation

m\n

256 bit field

37.24 μs

Name	BP/Share/Lagrange/3
Real Time	37240.41
Time Unit	ns
Iterations	18592

54.71 μs

Name	BP/Share/Lagrange/4
Real Time	54709.66
Time Unit	ns
Iterations	12945

96.32 μs

Name	BP/Share/Lagrange/6
Real Time	96315.68
Time Unit	ns
Iterations	7327

145.34 μs

Name	BP/Share/Lagrange/8
Real Time	145341.12
Time Unit	ns
Iterations	4777

206.16 μs

Name	BP/Share/Lagrange/10
Real Time	206159.69
Time Unit	ns
Iterations	3376

436.90 μs

Name	BP/Share/Lagrange/16
Real Time	436904.17
Time Unit	ns
Iterations	1610

1358.05 μs

Name	BP/Share/Lagrange/32
Real Time	1358051.12
Time Unit	ns
Iterations	506

secp256k1

134.06 μs

Name	BP/Share/ECLagrange/3/3
Real Time	134058.76
Time Unit	ns
Iterations	5180

187.00 μs

Name	BP/Share/ECLagrange/3/4
Real Time	186999.80
Time Unit	ns
Iterations	3766

291.77 μs

Name	BP/Share/ECLagrange/3/6
Real Time	291767.39
Time Unit	ns
Iterations	2389

411.53 μs

Name	BP/Share/ECLagrange/3/8
Real Time	411525.89
Time Unit	ns
Iterations	1688

548.49 μs

Name	BP/Share/ECLagrange/3/10
Real Time	548487.00
Time Unit	ns
Iterations	1279

995.72 μs

Name	BP/Share/ECLagrange/3/16
Real Time	995723.42
Time Unit	ns
Iterations	705

2526.23 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2526232.94
Time Unit	ns
Iterations	278

Ed25519

229.57 μs

Name	BP/Share/ECLagrange/4/3
Real Time	229574.56
Time Unit	ns
Iterations	3044

316.78 μs

Name	BP/Share/ECLagrange/4/4
Real Time	316778.28
Time Unit	ns
Iterations	2251

479.30 μs

Name	BP/Share/ECLagrange/4/6
Real Time	479304.70
Time Unit	ns
Iterations	1439

660.94 μs

Name	BP/Share/ECLagrange/4/8
Real Time	660936.06
Time Unit	ns
Iterations	1049

846.55 μs

Name	BP/Share/ECLagrange/4/10
Real Time	846551.18
Time Unit	ns
Iterations	828

1462.08 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1462077.04
Time Unit	ns
Iterations	479

3414.02 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3414018.94
Time Unit	ns
Iterations	205

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

1.00 ms

Name	ZK/DL/Prover/3
Real Time	999024.38
Time Unit	ns
Iterations	705

0.79 ms

Name	ZK/DL/Verify/3
Real Time	788042.05
Time Unit	ns
Iterations	893

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.91 ms

Name	ZK/DL/Prover/4
Real Time	913436.38
Time Unit	ns
Iterations	751

4.50 ms

Name	ZK/DL/Verify/4
Real Time	4497446.34
Time Unit	ns
Iterations	155

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	78970.73
Time Unit	ns
Iterations	8860

0.14 ms

Name	ZK/DH/Verify/3
Real Time	137983.71
Time Unit	ns
Iterations	5062

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.74 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2738060.37
Time Unit	ns
Iterations	258

1.12 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1117792.57
Time Unit	ns
Iterations	638

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	79426.21
Time Unit	ns
Iterations	8805

0.15 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	147538.96
Time Unit	ns
Iterations	4375

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	259063.95
Time Unit	ns
Iterations	2701

0.35 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	351744.93
Time Unit	ns
Iterations	2009

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

5.88 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	5877131.95
Time Unit	ns
Iterations	118

1.02 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	1023777.01
Time Unit	ns
Iterations	686

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.49 ms

Name	ZK/ValidPaillier/Prover
Real Time	23491420.80
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22594547.03
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.51 ms

Name	ZK/PaillierZero/Prover
Real Time	92511450.62
Time Unit	ns
Iterations	8

88.01 ms

Name	ZK/PaillierZero/Verify
Real Time	88005434.00
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.69 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90686403.00
Time Unit	ns
Iterations	8

184.84 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	184841222.25
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

331.61 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331609324.00
Time Unit	ns
Iterations	2

17.54 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17541882.15
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.16 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48164955.60
Time Unit	ns
Iterations	15

99.49 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99486021.14
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.78 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382775063.00
Time Unit	ns
Iterations	2

118.71 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	118708663.00
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

386.92 ms

Name	ZK/PDL/Prover
Real Time	386915917.00
Time Unit	ns
Iterations	2

130.74 ms

Name	ZK/PDL/Verify
Real Time	130736623.60
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

298.09 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	298086576.50
Time Unit	ns
Iterations	2

298.33 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	298330530.00
Time Unit	ns
Iterations	2

34.12 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

1.00 ms

Name	ZK/DL/Prover/3
Real Time	999024.38
Time Unit	ns
Iterations	705

0.79 ms

Name	ZK/DL/Verify/3
Real Time	788042.05
Time Unit	ns
Iterations	893

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.71 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1708422.01
Time Unit	ns
Iterations	410

2.27 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2268419.63
Time Unit	ns
Iterations	307

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

4.01 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	4006578.67
Time Unit	ns
Iterations	173

5.59 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5588840.31
Time Unit	ns
Iterations	123

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

11.92 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	11921455.40
Time Unit	ns
Iterations	57

27.74 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	27738253.68
Time Unit	ns
Iterations	25

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.91 ms

Name	ZK/DL/Prover/4
Real Time	913436.38
Time Unit	ns
Iterations	751

4.50 ms

Name	ZK/DL/Verify/4
Real Time	4497446.34
Time Unit	ns
Iterations	155

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.61 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1605095.56
Time Unit	ns
Iterations	430

14.71 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14711700.31
Time Unit	ns
Iterations	48

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.95 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3954488.50
Time Unit	ns
Iterations	177

48.74 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	48743414.29
Time Unit	ns
Iterations	14

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

12.01 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	12011074.92
Time Unit	ns
Iterations	59

273.29 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	273286934.33
Time Unit	ns
Iterations	3

4.55 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

Challenge

Challenge Size

Prove

Size

Verify

P Total

V Total

Interactive

0.00 ms

Name	ZK/ValidPaillier-Int/V1
Real Time	741.30
Time Unit	ns
Iterations	944196

0.02 KB

Name
Real Time
Time Unit
Iterations

9.77 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9769504.65
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.27 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9270699.41
Time Unit	ns
Iterations	75

9.77 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9769504.65
Time Unit	ns
Iterations	72

9.27 ms

Name	sum
Real Time	9271440.71
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

23.49 ms

Name	ZK/ValidPaillier/Prover
Real Time	23491420.80
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22594547.03
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.28 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33280606.81
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	2971.02
Time Unit	ns
Iterations	236417

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierZero-Int/P3
Real Time	352722.10
Time Unit	ns
Iterations	1983

3.12 KB

Name
Real Time
Time Unit
Iterations

35.18 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35179075.80
Time Unit	ns
Iterations	20

33.63 ms

Name	sum
Real Time	33633328.91
Time Unit	ns
Iterations	-1

35.18 ms

Name	sum
Real Time	35182046.82
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

92.51 ms

Name	ZK/PaillierZero/Prover
Real Time	92511450.62
Time Unit	ns
Iterations	8

88.01 ms

Name	ZK/PaillierZero/Verify
Real Time	88005434.00
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.62 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35616482.75
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	829.14
Time Unit	ns
Iterations	843078

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	706901.27
Time Unit	ns
Iterations	992

0.00 KB

Name
Real Time
Time Unit
Iterations

73.84 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73843207.22
Time Unit	ns
Iterations	9

36.32 ms

Name	sum
Real Time	36323384.02
Time Unit	ns
Iterations	-1

73.84 ms

Name	sum
Real Time	73844036.36
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

90.69 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90686403.00
Time Unit	ns
Iterations	8

184.84 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	184841222.25
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.50 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129495101.80
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	751.04
Time Unit	ns
Iterations	931842

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	6049.50
Time Unit	ns
Iterations	112655

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	6125.78
Time Unit	ns
Iterations	100755

129.50 ms

Name	sum
Real Time	129501151.30
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	6876.83
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

331.61 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331609324.00
Time Unit	ns
Iterations	2

17.54 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17541882.15
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

20.46 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20463284.79
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	878.68
Time Unit	ns
Iterations	797144

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	354856.94
Time Unit	ns
Iterations	1973

3.81 KB

Name
Real Time
Time Unit
Iterations

44.04 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	44044118.50
Time Unit	ns
Iterations	16

20.82 ms

Name	sum
Real Time	20818141.74
Time Unit	ns
Iterations	-1

44.04 ms

Name	sum
Real Time	44044997.18
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

48.16 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48164955.60
Time Unit	ns
Iterations	15

99.49 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99486021.14
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

11.04 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	11040319.54
Time Unit	ns
Iterations	63

6.68 ms

Name	PVE/vencrypt/Verify/0
Real Time	6677952.73
Time Unit	ns
Iterations	105

7.39 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7388372.91
Time Unit	ns
Iterations	94

Batch(4) - RSA2048

18.84 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18844943.32
Time Unit	ns
Iterations	37

14.24 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14238002.49
Time Unit	ns
Iterations	49

14.96 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14961743.36
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

48.94 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	48943774.07
Time Unit	ns
Iterations	14

43.45 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43454046.37
Time Unit	ns
Iterations	16

44.40 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44400253.69
Time Unit	ns
Iterations	16

Basic - P-256

23.99 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	23993632.55
Time Unit	ns
Iterations	29

13.10 ms

Name	PVE/vencrypt/Verify/1
Real Time	13096285.98
Time Unit	ns
Iterations	54

13.17 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13174296.62
Time Unit	ns
Iterations	53

Batch(4) - P-256

31.76 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31761142.36
Time Unit	ns
Iterations	22

20.64 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20643647.82
Time Unit	ns
Iterations	34

20.75 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20752414.76
Time Unit	ns
Iterations	34

Batch(16) - P-256

61.47 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	61473468.73
Time Unit	ns
Iterations	11

49.82 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	49818161.64
Time Unit	ns
Iterations	14

50.24 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	50235896.79
Time Unit	ns
Iterations	14

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

409.37 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	409366578.00
Time Unit	ns
Iterations	2

230.57 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	230572839.67
Time Unit	ns
Iterations	3

10.27 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	10274895.00
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	6321389.25
Time Unit	ns
Iterations	110

12.53 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12525561.29
Time Unit	ns
Iterations	56

24.73 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24731321.14
Time Unit	ns
Iterations	28

49.01 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	49011504.93
Time Unit	ns
Iterations	14

98.08 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	98075032.86
Time Unit	ns
Iterations	7

195.49 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195488044.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.94 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26936476.54
Time Unit	ns
Iterations	26

53.81 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	53808895.85
Time Unit	ns
Iterations	13

109.48 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	109475156.71
Time Unit	ns
Iterations	7

215.11 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	215105316.33
Time Unit	ns
Iterations	3

431.29 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	431294715.00
Time Unit	ns
Iterations	2

864.73 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	864726698.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.50 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3495590.16
Time Unit	ns
Iterations	201

7.00 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6995796.03
Time Unit	ns
Iterations	100

13.99 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13993691.34
Time Unit	ns
Iterations	50

27.95 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27952019.92
Time Unit	ns
Iterations	25

56.08 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	56077757.67
Time Unit	ns
Iterations	12

112.40 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	112395165.33
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.88 ms

Name	Full-OT-2P/1/1/2048
Real Time	24880063.21
Time Unit	ns
Iterations	28

message 1

round 2

112.33 ms

Name	Full-OT-2P/2/2/2048
Real Time	112327852.67
Time Unit	ns
Iterations	6

message 2

round 3

18.38 ms

Name	Full-OT-2P/3/1/2048
Real Time	18378544.66
Time Unit	ns
Iterations	38

message 3

Output Round

0.79 ms

Name	Full-OT-2P/4/2/2048
Real Time	794536.28
Time Unit	ns
Iterations	883

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.63 ms

Name	Full-OT-2P/1/1/4096
Real Time	24626250.32
Time Unit	ns
Iterations	28

message 1

round 2

112.69 ms

Name	Full-OT-2P/2/2/4096
Real Time	112694337.50
Time Unit	ns
Iterations	6

message 2

round 3

21.66 ms

Name	Full-OT-2P/3/1/4096
Real Time	21658121.94
Time Unit	ns
Iterations	32

message 3

Output Round

1.60 ms

Name	Full-OT-2P/4/2/4096
Real Time	1595610.60
Time Unit	ns
Iterations	439

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.69 ms

Name	Full-OT-2P/1/1/65536
Real Time	24687573.71
Time Unit	ns
Iterations	28

message 1

round 2

148.93 ms

Name	Full-OT-2P/2/2/65536
Real Time	148926734.60
Time Unit	ns
Iterations	5

message 2

round 3

120.33 ms

Name	Full-OT-2P/3/1/65536
Real Time	120326768.17
Time Unit	ns
Iterations	6

message 3

Output Round

25.49 ms

Name	Full-OT-2P/4/2/65536
Real Time	25487651.82
Time Unit	ns
Iterations	28

Agree Random - 256 bits

msg

Total Time

round 1

81.01 μs

Name	AgreeRandom-2P/1/1/256
Real Time	81012.33
Time Unit	ns
Iterations	10000

49.51 μs

Name	AgreeRandom-2P/1/2/256
Real Time	49514.95
Time Unit	ns
Iterations	10000

message 1

round 2

1.07 μs

Name	AgreeRandom-2P/2/1/256
Real Time	1071.81
Time Unit	ns
Iterations	10000

10.96 μs

Name	AgreeRandom-2P/2/2/256
Real Time	10957.19
Time Unit	ns
Iterations	10000

message 2

round 3

0.61 μs

Name	AgreeRandom-2P/3/1/256
Real Time	609.91
Time Unit	ns
Iterations	10000

0.71 μs

Name	AgreeRandom-2P/3/2/256
Real Time	710.10
Time Unit	ns
Iterations	10000

message 3

Output Round

43.11 μs

Name	AgreeRandom-2P/4/1/256
Real Time	43107.59
Time Unit	ns
Iterations	10000

48.15 μs

Name	AgreeRandom-2P/4/2/256
Real Time	48153.33
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

79.79 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	79785.10
Time Unit	ns
Iterations	10000

49.57 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	49570.33
Time Unit	ns
Iterations	10000

message 1

round 2

1.06 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	1060.69
Time Unit	ns
Iterations	10000

10.99 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	10990.09
Time Unit	ns
Iterations	10000

message 2

round 3

0.85 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	850.07
Time Unit	ns
Iterations	10000

0.82 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	824.08
Time Unit	ns
Iterations	10000

message 3

Output Round

45.34 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	45338.32
Time Unit	ns
Iterations	10000

48.82 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	48815.35
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

79.59 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	79587.63
Time Unit	ns
Iterations	10000

49.73 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	49731.14
Time Unit	ns
Iterations	10000

message 1

round 2

1.09 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	1085.86
Time Unit	ns
Iterations	10000

11.02 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	11017.39
Time Unit	ns
Iterations	10000

message 2

round 3

1.24 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1235.51
Time Unit	ns
Iterations	10000

1.05 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	1046.62
Time Unit	ns
Iterations	10000

message 3

Output Round

48.45 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	48446.38
Time Unit	ns
Iterations	10000

50.62 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	50623.47
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

70.35 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	70354.27
Time Unit	ns
Iterations	10000

48.73 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	48734.08
Time Unit	ns
Iterations	10000

message 1

round 2

0.88 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	879.74
Time Unit	ns
Iterations	10000

10.83 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	10831.36
Time Unit	ns
Iterations	10000

message 2

Output Round

55.11 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	55110.49
Time Unit	ns
Iterations	10000

45.34 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	45335.34
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

69.94 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	69940.56
Time Unit	ns
Iterations	10000

48.68 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	48684.79
Time Unit	ns
Iterations	10000

message 1

round 2

0.89 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	886.50
Time Unit	ns
Iterations	10000

10.86 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	10857.68
Time Unit	ns
Iterations	10000

message 2

Output Round

61.63 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	61625.92
Time Unit	ns
Iterations	10000

48.28 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	48283.22
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

69.73 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	69725.16
Time Unit	ns
Iterations	10000

49.39 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	49391.87
Time Unit	ns
Iterations	10000

message 1

round 2

0.89 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	886.78
Time Unit	ns
Iterations	10000

10.77 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	10769.27
Time Unit	ns
Iterations	10000

message 2

Output Round

60.41 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	60407.84
Time Unit	ns
Iterations	10000

49.55 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	49546.27
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

70.80 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	70804.81
Time Unit	ns
Iterations	10000

49.40 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	49403.71
Time Unit	ns
Iterations	10000

message 1

round 2

0.92 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	916.83
Time Unit	ns
Iterations	10000

11.16 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	11158.10
Time Unit	ns
Iterations	10000

message 2

Output Round

57.03 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	57028.57
Time Unit	ns
Iterations	10000

46.11 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	46110.13
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

71.68 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	71681.77
Time Unit	ns
Iterations	10000

50.48 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	50480.07
Time Unit	ns
Iterations	10000

message 1

round 2

0.93 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	930.33
Time Unit	ns
Iterations	10000

10.66 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	10655.52
Time Unit	ns
Iterations	10000

message 2

Output Round

61.76 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	61758.64
Time Unit	ns
Iterations	10000

47.08 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	47078.75
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.11 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	105602.80
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	66907.90
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	1092.00
Time Unit	ns
Iterations	10

1.13 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1130009.50
Time Unit	ns
Iterations	10

message 2

round 3

8.05 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	8049383.40
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2692.30
Time Unit	ns
Iterations	10

message 3

Output Round

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	67969.40
Time Unit	ns
Iterations	10

7.02 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	7020313.50
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.08 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	82300.26
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	51843.67
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	1142.02
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	12421.32
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	1191.97
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	729.29
Time Unit	ns
Iterations	200

message 3

Output Round

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	50348.53
Time Unit	ns
Iterations	200

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	55659.96
Time Unit	ns
Iterations	200

Sign - #Msg=1

msg

Total Time

round 1

0.11 ms

Name	Schnorr-2PC-Sign-2P/1/1/1
Real Time	108546.72
Time Unit	ns
Iterations	50

0.06 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	56743.00
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	1074.44
Time Unit	ns
Iterations	50

1.53 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1529953.70
Time Unit	ns
Iterations	50

message 2

round 3

10.90 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10902097.40
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2582.34
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	21701.90
Time Unit	ns
Iterations	50

9.40 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9404456.12
Time Unit	ns
Iterations	50

message 4

Output Round

0.24 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	242931.52
Time Unit	ns
Iterations	50

0.09 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	90065.84
Time Unit	ns
Iterations	50

Sign - #Msg=4

msg

Total Time

round 1

0.16 ms

Name	Schnorr-2PC-Sign-2P/1/1/4
Real Time	164391.86
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	49806.12
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1369.82
Time Unit	ns
Iterations	50

1.97 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1966687.10
Time Unit	ns
Iterations	50

message 2

round 3

20.01 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	20011025.64
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2417.90
Time Unit	ns
Iterations	50

message 3

round 4

0.06 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	56796.76
Time Unit	ns
Iterations	50

18.53 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18533709.90
Time Unit	ns
Iterations	50

message 4

Output Round

0.65 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	654796.48
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	84308.20
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.41 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	410410.14
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	49676.02
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	1280.80
Time Unit	ns
Iterations	50

4.45 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4449813.32
Time Unit	ns
Iterations	50

message 2

round 3

57.47 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	57466098.32
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2278.36
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	190376.78
Time Unit	ns
Iterations	50

53.55 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	53549071.24
Time Unit	ns
Iterations	50

message 4

Output Round

2.35 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2352123.16
Time Unit	ns
Iterations	50

0.13 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	134392.20
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

201.97 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	201967917.20
Time Unit	ns
Iterations	20

0.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	74639.40
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	3328.25
Time Unit	ns
Iterations	20

1.30 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1297576.35
Time Unit	ns
Iterations	20

message 2

round 3

17.31 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17313350.65
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2697.10
Time Unit	ns
Iterations	20

message 3

Output Round

0.16 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	155945.20
Time Unit	ns
Iterations	20

77.32 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	77317102.00
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

95.75 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	95751461.25
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	60769.10
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1966.05
Time Unit	ns
Iterations	20

0.53 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	531734.80
Time Unit	ns
Iterations	20

message 2

round 3

10.55 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10548040.20
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1410.15
Time Unit	ns
Iterations	20

message 3

Output Round

0.11 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	112821.20
Time Unit	ns
Iterations	20

86.80 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	86796660.85
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.60 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1603585.75
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	52959.50
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	1028.55
Time Unit	ns
Iterations	20

1.51 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1508294.20
Time Unit	ns
Iterations	20

message 2

round 3

2.01 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	2012771.15
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	3185.40
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	5873.60
Time Unit	ns
Iterations	20

42.98 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42981316.85
Time Unit	ns
Iterations	20

message 4

Output Round

23.77 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23774791.60
Time Unit	ns
Iterations	20

0.11 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	110557.65
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.02 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	2021517.70
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	57150.90
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	1231.90
Time Unit	ns
Iterations	20

1.99 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1990496.10
Time Unit	ns
Iterations	20

message 2

round 3

2.94 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2935584.75
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2785.20
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	6054.40
Time Unit	ns
Iterations	20

167.26 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	167263953.75
Time Unit	ns
Iterations	20

message 4

Output Round

93.91 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	93906318.85
Time Unit	ns
Iterations	20

0.15 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	148333.25
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.65 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4649169.35
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	55341.30
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	1141.50
Time Unit	ns
Iterations	20

4.53 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4531553.35
Time Unit	ns
Iterations	20

message 2

round 3

6.89 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6889403.65
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3210.95
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	6640.35
Time Unit	ns
Iterations	20

664.15 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	664154331.35
Time Unit	ns
Iterations	20

message 4

Output Round

374.97 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	374966936.55
Time Unit	ns
Iterations	20

0.18 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	184986.05
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.64 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1643483.45
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	50475.30
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	1034.45
Time Unit	ns
Iterations	20

1.52 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1517466.65
Time Unit	ns
Iterations	20

message 2

round 3

1.99 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1989419.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	3116.70
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	4338.15
Time Unit	ns
Iterations	20

13.10 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13104814.35
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

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

0.00 ms

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

Sign with Global Abort - #Msg=4

msg

Total Time

round 1

2.03 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2027023.50
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	60903.80
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	1128.20
Time Unit	ns
Iterations	20

1.97 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1968293.40
Time Unit	ns
Iterations	20

message 2

round 3

2.93 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2928329.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	2604.70
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/4
Real Time	6045.75
Time Unit	ns
Iterations	20

47.19 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47194748.20
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/1/4
Real Time	0.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/5/2/4
Real Time	0.00
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=16

msg

Total Time

round 1

4.65 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4650662.95
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	58615.65
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	1306.40
Time Unit	ns
Iterations	20

4.50 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4497834.65
Time Unit	ns
Iterations	20

message 2

round 3

6.88 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6882217.50
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	4097.05
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	6463.50
Time Unit	ns
Iterations	20

183.78 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	183777340.80
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

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

0.00 ms

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

Keygen

Total Time

round 1

0.26 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	263278.00
Time Unit	ns
Iterations	1

0.25 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	254864.00
Time Unit	ns
Iterations	1

0.23 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	225657.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	223552.00
Time Unit	ns
Iterations	1

message 1

round 2

1.63 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1633382.00
Time Unit	ns
Iterations	1

1.71 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1708532.00
Time Unit	ns
Iterations	1

1.67 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1668517.00
Time Unit	ns
Iterations	1

1.61 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1609127.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.63 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20630026.00
Time Unit	ns
Iterations	1

20.62 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20620842.00
Time Unit	ns
Iterations	1

20.99 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20987978.00
Time Unit	ns
Iterations	1

20.78 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20784270.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.67 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4667916.70
Time Unit	ns
Iterations	10

4.74 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4737932.10
Time Unit	ns
Iterations	10

4.72 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4718872.10
Time Unit	ns
Iterations	10

4.67 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4671029.80
Time Unit	ns
Iterations	10

message 1

round 2

2.61 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2607359.60
Time Unit	ns
Iterations	10

2.60 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2597807.90
Time Unit	ns
Iterations	10

2.60 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2601991.60
Time Unit	ns
Iterations	10

2.60 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2602197.90
Time Unit	ns
Iterations	10

message 2

Output Round

70.68 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	70683709.30
Time Unit	ns
Iterations	10

70.62 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	70615613.40
Time Unit	ns
Iterations	10

70.81 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	70814487.50
Time Unit	ns
Iterations	10

70.67 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	70665017.10
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	269971.70
Time Unit	ns
Iterations	10

0.28 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	278543.10
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	265741.00
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	274276.90
Time Unit	ns
Iterations	10

message 1

round 2

2.53 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2533221.00
Time Unit	ns
Iterations	10

2.58 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2579133.80
Time Unit	ns
Iterations	10

2.56 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2560947.00
Time Unit	ns
Iterations	10

2.54 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2541765.10
Time Unit	ns
Iterations	10

message 2

round 3

45.64 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	45636770.90
Time Unit	ns
Iterations	10

45.62 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45623254.60
Time Unit	ns
Iterations	10

45.63 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45633864.00
Time Unit	ns
Iterations	10

45.61 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	45605143.70
Time Unit	ns
Iterations	10

message 3

Output Round

0.54 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	544696.80
Time Unit	ns
Iterations	10

0.15 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	146669.10
Time Unit	ns
Iterations	10

0.16 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	161654.00
Time Unit	ns
Iterations	10

0.16 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	164884.60
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.20 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	197229.90
Time Unit	ns
Iterations	10

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	185610.30
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	183076.80
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	183119.10
Time Unit	ns
Iterations	10

message 1

round 2

1.33 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1328401.40
Time Unit	ns
Iterations	10

1.33 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1330553.20
Time Unit	ns
Iterations	10

1.36 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1359967.20
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1354462.00
Time Unit	ns
Iterations	10

message 2

Output Round

3.31 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3314649.70
Time Unit	ns
Iterations	10

3.35 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3352720.40
Time Unit	ns
Iterations	10

3.30 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3297590.80
Time Unit	ns
Iterations	10

3.30 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3302690.80
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.71 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4714281.80
Time Unit	ns
Iterations	10

4.66 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4656735.10
Time Unit	ns
Iterations	10

4.66 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4658998.90
Time Unit	ns
Iterations	10

4.72 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4716748.80
Time Unit	ns
Iterations	10

message 1

round 2

1.25 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1245621.70
Time Unit	ns
Iterations	10

1.23 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1227703.10
Time Unit	ns
Iterations	10

1.23 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1226632.10
Time Unit	ns
Iterations	10

1.23 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1233159.40
Time Unit	ns
Iterations	10

message 2

Output Round

11.47 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	11465197.00
Time Unit	ns
Iterations	10

11.31 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11311357.80
Time Unit	ns
Iterations	10

11.29 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11294488.70
Time Unit	ns
Iterations	10

11.29 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11290124.40
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.24 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	241355.40
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	221525.50
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	227255.20
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	230379.80
Time Unit	ns
Iterations	10

message 1

round 2

70.05 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	70047099.40
Time Unit	ns
Iterations	10

47.12 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	47115054.00
Time Unit	ns
Iterations	10

24.36 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24364765.40
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1345119.10
Time Unit	ns
Iterations	10

message 2

round 3

3.28 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3278176.70
Time Unit	ns
Iterations	10

162.94 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	162936110.70
Time Unit	ns
Iterations	10

322.38 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	322384358.80
Time Unit	ns
Iterations	10

484.67 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	484670108.90
Time Unit	ns
Iterations	10

message 3

round 4

72.01 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	72008808.90
Time Unit	ns
Iterations	10

50.30 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	50299479.90
Time Unit	ns
Iterations	10

28.67 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	28674034.60
Time Unit	ns
Iterations	10

7.00 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6999579.60
Time Unit	ns
Iterations	10

message 4

round 5

10.18 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	10183867.90
Time Unit	ns
Iterations	10

12.72 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12724445.20
Time Unit	ns
Iterations	10

14.91 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	14908238.50
Time Unit	ns
Iterations	10

17.34 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17339699.00
Time Unit	ns
Iterations	10

message 5

round 6

11.43 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11434905.70
Time Unit	ns
Iterations	10

10.18 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10183264.80
Time Unit	ns
Iterations	10

9.14 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9142701.40
Time Unit	ns
Iterations	10

7.67 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7673445.60
Time Unit	ns
Iterations	10

message 6

round 7

25.09 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	25092478.70
Time Unit	ns
Iterations	10

25.33 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	25326253.10
Time Unit	ns
Iterations	10

25.35 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	25351683.90
Time Unit	ns
Iterations	10

25.00 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	25002856.70
Time Unit	ns
Iterations	10

message 7

round 8

9.52 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9522634.00
Time Unit	ns
Iterations	10

9.53 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9527445.90
Time Unit	ns
Iterations	10

9.50 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9498978.80
Time Unit	ns
Iterations	10

9.51 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9508431.50
Time Unit	ns
Iterations	10

message 8

round 9

2.79 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2789830.10
Time Unit	ns
Iterations	10

2.79 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2785605.20
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2763040.40
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2763240.20
Time Unit	ns
Iterations	10

message 9

Output Round

2.94 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2941830.80
Time Unit	ns
Iterations	10

1.45 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1445687.20
Time Unit	ns
Iterations	10

1.41 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1408146.60
Time Unit	ns
Iterations	10

1.46 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1462676.10
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