Benchmark Context

Date: 2026-07-24T04:39:02+00:00
Commit: 4181ea23cbb8e99b014df24656e0e965bc74d966
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3235

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.09 μs

Name	Core/BN/ModAdd/256
Real Time	94.71
Time Unit	ns
Iterations	7389525

0.12 μs

Name	Core/BN/ModAdd/512
Real Time	121.55
Time Unit	ns
Iterations	5741426

0.17 μs

Name	Core/BN/ModAdd/1024
Real Time	168.21
Time Unit	ns
Iterations	4147004

0.28 μs

Name	Core/BN/ModAdd/2048
Real Time	282.41
Time Unit	ns
Iterations	2430031

0.51 μs

Name	Core/BN/ModAdd/4096
Real Time	507.66
Time Unit	ns
Iterations	1383148

Mod Sub

0.08 μs

Name	Core/BN/ModSubtract/256
Real Time	81.98
Time Unit	ns
Iterations	8529417

0.11 μs

Name	Core/BN/ModSubtract/512
Real Time	108.38
Time Unit	ns
Iterations	6382208

0.17 μs

Name	Core/BN/ModSubtract/1024
Real Time	173.28
Time Unit	ns
Iterations	4098503

0.30 μs

Name	Core/BN/ModSubtract/2048
Real Time	295.71
Time Unit	ns
Iterations	2355619

0.57 μs

Name	Core/BN/ModSubtract/4096
Real Time	571.74
Time Unit	ns
Iterations	1223334

Mod Mul

0.17 μs

Name	Core/BN/ModMultiply/256
Real Time	171.55
Time Unit	ns
Iterations	4082643

0.32 μs

Name	Core/BN/ModMultiply/512
Real Time	318.11
Time Unit	ns
Iterations	2158727

0.87 μs

Name	Core/BN/ModMultiply/1024
Real Time	866.69
Time Unit	ns
Iterations	807493

2.86 μs

Name	Core/BN/ModMultiply/2048
Real Time	2864.82
Time Unit	ns
Iterations	245157

11.17 μs

Name	Core/BN/ModMultiply/4096
Real Time	11169.00
Time Unit	ns
Iterations	62452

Mod Exponentiate

17.02 μs

Name	Core/BN/ModExponentiate/256
Real Time	17022.47
Time Unit	ns
Iterations	41136

42.03 μs

Name	Core/BN/ModExponentiate/512
Real Time	42032.49
Time Unit	ns
Iterations	16653

311.43 μs

Name	Core/BN/ModExponentiate/1024
Real Time	311429.88
Time Unit	ns
Iterations	2247

2211.02 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2211018.47
Time Unit	ns
Iterations	316

16545.90 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16545896.38
Time Unit	ns
Iterations	42

Mod Invert

16.63 μs

Name	Core/BN/ModInvert/256
Real Time	16631.40
Time Unit	ns
Iterations	42160

35.38 μs

Name	Core/BN/ModInvert/512
Real Time	35381.73
Time Unit	ns
Iterations	19801

82.52 μs

Name	Core/BN/ModInvert/1024
Real Time	82524.54
Time Unit	ns
Iterations	8502

218.55 μs

Name	Core/BN/ModInvert/2048
Real Time	218550.24
Time Unit	ns
Iterations	3203

675.88 μs

Name	Core/BN/ModInvert/4096
Real Time	675876.06
Time Unit	ns
Iterations	1042

GCD

23.07 μs

Name	Core/BN/GCD/256
Real Time	23073.98
Time Unit	ns
Iterations	29213

50.97 μs

Name	Core/BN/GCD/512
Real Time	50967.76
Time Unit	ns
Iterations	13602

131.32 μs

Name	Core/BN/GCD/1024
Real Time	131315.57
Time Unit	ns
Iterations	5195

356.81 μs

Name	Core/BN/GCD/2048
Real Time	356812.75
Time Unit	ns
Iterations	1936

1160.41 μs

Name	Core/BN/GCD/4096
Real Time	1160407.04
Time Unit	ns
Iterations	609

GCD with RSA Modulus

23.26 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23260.90
Time Unit	ns
Iterations	30432

52.93 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	52930.25
Time Unit	ns
Iterations	13347

131.41 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	131407.52
Time Unit	ns
Iterations	5342

353.62 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	353616.11
Time Unit	ns
Iterations	1924

1158.89 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1158885.31
Time Unit	ns
Iterations	601

Batch(16) GCD with RSA Modulus

26.11 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	26110.92
Time Unit	ns
Iterations	26133

56.58 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	56576.21
Time Unit	ns
Iterations	12122

144.61 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	144612.69
Time Unit	ns
Iterations	4964

404.47 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	404468.77
Time Unit	ns
Iterations	1733

1328.99 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1328989.23
Time Unit	ns
Iterations	528

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	358.14
Time Unit	ns
Iterations	1957807

0.37 μs

Name	Core/EC/Add/Ed25519
Real Time	370.25
Time Unit	ns
Iterations	1908837

Add (Constant Time)

2.45 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	2449.46
Time Unit	ns
Iterations	285719

0.37 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	374.95
Time Unit	ns
Iterations	1867717

Multiply

41.54 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41543.34
Time Unit	ns
Iterations	16808

66.04 μs

Name	Core/EC/Multiply/Ed25519
Real Time	66041.74
Time Unit	ns
Iterations	10599

Multiply (Variable Time)

32.58 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	32580.46
Time Unit	ns
Iterations	21698

61.39 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	61393.16
Time Unit	ns
Iterations	11426

Multiply Generator

19.95 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	19948.57
Time Unit	ns
Iterations	35104

14.06 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14055.82
Time Unit	ns
Iterations	49506

Multipliply Generator (Variable Time)

19.95 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	19948.83
Time Unit	ns
Iterations	35101

7.14 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7143.39
Time Unit	ns
Iterations	98024

MulAdd

64.02 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	64019.37
Time Unit	ns
Iterations	10922

80.38 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	80379.52
Time Unit	ns
Iterations	8713

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.34 μs

Name	Core/Hash/SHA256/16
Real Time	341.64
Time Unit	ns
Iterations	2056127

0.38 μs

Name	Core/Hash/SHA256/64
Real Time	376.37
Time Unit	ns
Iterations	1855635

0.50 μs

Name	Core/Hash/SHA256/256
Real Time	497.45
Time Unit	ns
Iterations	1409921

0.98 μs

Name	Core/Hash/SHA256/1024
Real Time	979.26
Time Unit	ns
Iterations	714097

2.91 μs

Name	Core/Hash/SHA256/4096
Real Time	2906.35
Time Unit	ns
Iterations	240099

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

1.14 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	1140.72
Time Unit	ns
Iterations	613690

1.16 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	1164.78
Time Unit	ns
Iterations	601436

1.29 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	1285.58
Time Unit	ns
Iterations	544492

1.77 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1766.27
Time Unit	ns
Iterations	395963

3.70 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	3701.72
Time Unit	ns
Iterations	189327

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

0.96 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	960.93
Time Unit	ns
Iterations	727417

1.67 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1668.44
Time Unit	ns
Iterations	419707

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	999.77
Time Unit	ns
Iterations	701085

1.76 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1762.65
Time Unit	ns
Iterations	397216

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

85.33 μs

Name	BP/ElGamal/Commit/3
Real Time	85326.52
Time Unit	ns
Iterations	8208

97.48 μs

Name	BP/ElGamal/Commit/4
Real Time	97481.45
Time Unit	ns
Iterations	7285

Rerand

66.57 μs

Name	BP/ElGamal/Rerand/3
Real Time	66568.66
Time Unit	ns
Iterations	10503

81.73 μs

Name	BP/ElGamal/Rerand/4
Real Time	81727.42
Time Unit	ns
Iterations	8343

Add

4.94 μs

Name	BP/ElGamal/Add/3
Real Time	4938.27
Time Unit	ns
Iterations	141607

0.81 μs

Name	BP/ElGamal/Add/4
Real Time	807.07
Time Unit	ns
Iterations	871880

Add Scalar

20.54 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20544.70
Time Unit	ns
Iterations	34102

7.80 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7796.42
Time Unit	ns
Iterations	89877

Mul Scalar

83.34 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83344.91
Time Unit	ns
Iterations	8434

132.07 μs

Name	BP/ElGamal/MulScalar/4
Real Time	132070.85
Time Unit	ns
Iterations	5300

Paillier

Operation \ Bit length

2048 bits

Generate Key

48.78 ms

Name	BP/Paillier/Gen
Real Time	48782746.91
Time Unit	ns
Iterations	11

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4523926.27
Time Unit	ns
Iterations	155

Encrypt

8.58 ms

Name	BP/Paillier/Pub-Enc
Real Time	8575201.95
Time Unit	ns
Iterations	82

Decrypt

4.75 ms

Name	BP/Paillier/Dec
Real Time	4746334.43
Time Unit	ns
Iterations	148

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11271.64
Time Unit	ns
Iterations	61353

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	13570.67
Time Unit	ns
Iterations	51540

Mul-Scalar

8.32 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8322683.60
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

190.10 μs

Name	tdh2-encrypt-1P/4/256
Real Time	190099.67
Time Unit	ns
Iterations	3678

190.14 μs

Name	tdh2-encrypt-1P/30/256
Real Time	190143.97
Time Unit	ns
Iterations	3670

270.05 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	270051.80
Time Unit	ns
Iterations	2588

269.66 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	269655.54
Time Unit	ns
Iterations	2590

Verify

202.14 μs

Name	tdh2-verify-1P/4/256
Real Time	202135.80
Time Unit	ns
Iterations	3458

202.00 μs

Name	tdh2-verify-1P/30/256
Real Time	202003.55
Time Unit	ns
Iterations	2876

243.48 μs

Name	tdh2-verify-1P/4/65536
Real Time	243477.41
Time Unit	ns
Iterations	2875

265.15 μs

Name	tdh2-verify-1P/30/65536
Real Time	265146.85
Time Unit	ns
Iterations	2879

Local Decrypt

365.63 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	365630.30
Time Unit	ns
Iterations	1642

365.59 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	365586.23
Time Unit	ns
Iterations	2162

366.38 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	366380.45
Time Unit	ns
Iterations	1378

407.85 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	407846.94
Time Unit	ns
Iterations	1911

Combine

903.14 μs

Name	tdh2-combine-1P/4/256
Real Time	903140.98
Time Unit	ns
Iterations	724

5407.50 μs

Name	tdh2-combine-1P/30/256
Real Time	5407499.60
Time Unit	ns
Iterations	129

982.80 μs

Name	tdh2-combine-1P/4/65536
Real Time	982797.38
Time Unit	ns
Iterations	714

5469.34 μs

Name	tdh2-combine-1P/30/65536
Real Time	5469343.84
Time Unit	ns
Iterations	128

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.34 μs

Name	Crypto/DRBG/String/1024
Real Time	1343.24
Time Unit	ns
Iterations	521260

1.41 μs

Name	Crypto/DRBG/String/2048
Real Time	1414.44
Time Unit	ns
Iterations	495658

1.52 μs

Name	Crypto/DRBG/String/4096
Real Time	1521.13
Time Unit	ns
Iterations	460372

1.74 μs

Name	Crypto/DRBG/String/8192
Real Time	1735.30
Time Unit	ns
Iterations	403808

2.23 μs

Name	Crypto/DRBG/String/16384
Real Time	2234.84
Time Unit	ns
Iterations	313030

3.16 μs

Name	Crypto/DRBG/String/32768
Real Time	3163.24
Time Unit	ns
Iterations	221453

4.98 μs

Name	Crypto/DRBG/String/65536
Real Time	4975.98
Time Unit	ns
Iterations	140642

8.65 μs

Name	Crypto/DRBG/String/131072
Real Time	8645.28
Time Unit	ns
Iterations	81226

15.86 μs

Name	Crypto/DRBG/String/262144
Real Time	15859.34
Time Unit	ns
Iterations	44125

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.65 μs

Name	Crypto/DRBG/Number/256
Real Time	1645.96
Time Unit	ns
Iterations	424301

1.75 μs

Name	Crypto/DRBG/Number/512
Real Time	1745.54
Time Unit	ns
Iterations	399936

1.95 μs

Name	Crypto/DRBG/Number/1024
Real Time	1947.15
Time Unit	ns
Iterations	360407

2.31 μs

Name	Crypto/DRBG/Number/2048
Real Time	2310.20
Time Unit	ns
Iterations	303889

3.10 μs

Name	Crypto/DRBG/Number/4096
Real Time	3101.64
Time Unit	ns
Iterations	225890

Curve

secp256k1

Ed25519

DRBG-Curve

21.99 μs

Name	Crypto/DRBG/Curve/3
Real Time	21988.33
Time Unit	ns
Iterations	31973

16.17 μs

Name	Crypto/DRBG/Curve/4
Real Time	16171.36
Time Unit	ns
Iterations	43391

HMAC

#big number

Commit

2.42 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2415.04
Time Unit	ns
Iterations	289226

2.68 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2682.57
Time Unit	ns
Iterations	261560

2.98 μs

Name	Crypto/Commitment/ComBn/6
Real Time	2981.35
Time Unit	ns
Iterations	235389

3.22 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3215.99
Time Unit	ns
Iterations	217481

3.49 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3491.94
Time Unit	ns
Iterations	201690

3.71 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3708.62
Time Unit	ns
Iterations	188106

3.97 μs

Name	Crypto/Commitment/ComBn/14
Real Time	3965.07
Time Unit	ns
Iterations	176737

4.23 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4226.72
Time Unit	ns
Iterations	164504

4.47 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4471.89
Time Unit	ns
Iterations	156481

4.73 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4727.29
Time Unit	ns
Iterations	147975

Pedersen

Curve

secp256k1

Ed25519

Commit

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

ElGamal

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

85.33 μs

Name	BP/ElGamal/Commit/3
Real Time	85326.52
Time Unit	ns
Iterations	8208

97.48 μs

Name	BP/ElGamal/Commit/4
Real Time	97481.45
Time Unit	ns
Iterations	7285

Rerand

66.57 μs

Name	BP/ElGamal/Rerand/3
Real Time	66568.66
Time Unit	ns
Iterations	10503

81.73 μs

Name	BP/ElGamal/Rerand/4
Real Time	81727.42
Time Unit	ns
Iterations	8343

Add

4.94 μs

Name	BP/ElGamal/Add/3
Real Time	4938.27
Time Unit	ns
Iterations	141607

0.81 μs

Name	BP/ElGamal/Add/4
Real Time	807.07
Time Unit	ns
Iterations	871880

Add Scalar

20.54 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20544.70
Time Unit	ns
Iterations	34102

7.80 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7796.42
Time Unit	ns
Iterations	89877

Mul Scalar

83.34 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83344.91
Time Unit	ns
Iterations	8434

132.07 μs

Name	BP/ElGamal/MulScalar/4
Real Time	132070.85
Time Unit	ns
Iterations	5300

Shamir Secret Sharing

m\n

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Horner's rule

m\n

256 bit field

0.60 μs

Name	BP/Share/Horner/3
Real Time	602.11
Time Unit	ns
Iterations	1163545

0.88 μs

Name	BP/Share/Horner/4
Real Time	878.00
Time Unit	ns
Iterations	794659

1.43 μs

Name	BP/Share/Horner/6
Real Time	1431.34
Time Unit	ns
Iterations	484643

1.98 μs

Name	BP/Share/Horner/8
Real Time	1980.77
Time Unit	ns
Iterations	352779

2.53 μs

Name	BP/Share/Horner/10
Real Time	2528.36
Time Unit	ns
Iterations	277444

4.17 μs

Name	BP/Share/Horner/16
Real Time	4170.72
Time Unit	ns
Iterations	168402

8.56 μs

Name	BP/Share/Horner/32
Real Time	8557.87
Time Unit	ns
Iterations	81967

secp256k1

83.95 μs

Name	BP/Share/ECHorner/3/3
Real Time	83951.80
Time Unit	ns
Iterations	8354

125.75 μs

Name	BP/Share/ECHorner/3/4
Real Time	125750.10
Time Unit	ns
Iterations	5569

209.66 μs

Name	BP/Share/ECHorner/3/6
Real Time	209658.79
Time Unit	ns
Iterations	3337

293.38 μs

Name	BP/Share/ECHorner/3/8
Real Time	293378.82
Time Unit	ns
Iterations	2387

376.94 μs

Name	BP/Share/ECHorner/3/10
Real Time	376939.33
Time Unit	ns
Iterations	1857

635.35 μs

Name	BP/Share/ECHorner/3/16
Real Time	635346.09
Time Unit	ns
Iterations	1115

1298.17 μs

Name	BP/Share/ECHorner/3/32
Real Time	1298166.17
Time Unit	ns
Iterations	536

Ed25519

132.83 μs

Name	BP/Share/ECHorner/4/3
Real Time	132830.71
Time Unit	ns
Iterations	5250

198.86 μs

Name	BP/Share/ECHorner/4/4
Real Time	198863.36
Time Unit	ns
Iterations	3516

331.18 μs

Name	BP/Share/ECHorner/4/6
Real Time	331178.37
Time Unit	ns
Iterations	2113

464.02 μs

Name	BP/Share/ECHorner/4/8
Real Time	464022.34
Time Unit	ns
Iterations	1507

596.85 μs

Name	BP/Share/ECHorner/4/10
Real Time	596847.82
Time Unit	ns
Iterations	1173

995.35 μs

Name	BP/Share/ECHorner/4/16
Real Time	995351.23
Time Unit	ns
Iterations	692

2076.79 μs

Name	BP/Share/ECHorner/4/32
Real Time	2076792.09
Time Unit	ns
Iterations	340

Lagrange interpolation

m\n

256 bit field

38.72 μs

Name	BP/Share/Lagrange/3
Real Time	38722.76
Time Unit	ns
Iterations	18522

55.07 μs

Name	BP/Share/Lagrange/4
Real Time	55071.80
Time Unit	ns
Iterations	12560

96.05 μs

Name	BP/Share/Lagrange/6
Real Time	96050.65
Time Unit	ns
Iterations	7259

148.49 μs

Name	BP/Share/Lagrange/8
Real Time	148488.56
Time Unit	ns
Iterations	4709

208.73 μs

Name	BP/Share/Lagrange/10
Real Time	208729.03
Time Unit	ns
Iterations	3389

431.33 μs

Name	BP/Share/Lagrange/16
Real Time	431325.98
Time Unit	ns
Iterations	1624

1352.94 μs

Name	BP/Share/Lagrange/32
Real Time	1352943.49
Time Unit	ns
Iterations	525

secp256k1

136.81 μs

Name	BP/Share/ECLagrange/3/3
Real Time	136808.53
Time Unit	ns
Iterations	5166

186.56 μs

Name	BP/Share/ECLagrange/3/4
Real Time	186561.57
Time Unit	ns
Iterations	3769

295.12 μs

Name	BP/Share/ECLagrange/3/6
Real Time	295119.16
Time Unit	ns
Iterations	2352

415.63 μs

Name	BP/Share/ECLagrange/3/8
Real Time	415629.55
Time Unit	ns
Iterations	1681

550.54 μs

Name	BP/Share/ECLagrange/3/10
Real Time	550540.01
Time Unit	ns
Iterations	1279

992.39 μs

Name	BP/Share/ECLagrange/3/16
Real Time	992391.71
Time Unit	ns
Iterations	706

2496.75 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2496754.15
Time Unit	ns
Iterations	281

Ed25519

222.98 μs

Name	BP/Share/ECLagrange/4/3
Real Time	222975.52
Time Unit	ns
Iterations	3113

301.18 μs

Name	BP/Share/ECLagrange/4/4
Real Time	301178.50
Time Unit	ns
Iterations	2324

465.38 μs

Name	BP/Share/ECLagrange/4/6
Real Time	465376.56
Time Unit	ns
Iterations	1504

638.09 μs

Name	BP/Share/ECLagrange/4/8
Real Time	638092.15
Time Unit	ns
Iterations	1094

820.59 μs

Name	BP/Share/ECLagrange/4/10
Real Time	820587.02
Time Unit	ns
Iterations	851

1416.85 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1416849.30
Time Unit	ns
Iterations	493

3323.02 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3323019.09
Time Unit	ns
Iterations	211

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

1.00 ms

Name	ZK/DL/Prover/3
Real Time	1003738.49
Time Unit	ns
Iterations	699

0.77 ms

Name	ZK/DL/Verify/3
Real Time	771411.06
Time Unit	ns
Iterations	904

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.91 ms

Name	ZK/DL/Prover/4
Real Time	914216.42
Time Unit	ns
Iterations	763

3.37 ms

Name	ZK/DL/Verify/4
Real Time	3365191.27
Time Unit	ns
Iterations	208

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	78835.81
Time Unit	ns
Iterations	8891

0.14 ms

Name	ZK/DH/Verify/3
Real Time	141680.08
Time Unit	ns
Iterations	4950

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.83 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2828626.66
Time Unit	ns
Iterations	240

1.08 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1084222.39
Time Unit	ns
Iterations	646

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	79331.52
Time Unit	ns
Iterations	8833

0.15 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	145179.96
Time Unit	ns
Iterations	4708

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.27 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	265948.52
Time Unit	ns
Iterations	2639

0.36 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	355738.81
Time Unit	ns
Iterations	1981

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.40 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4400149.61
Time Unit	ns
Iterations	159

1.01 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	1007186.59
Time Unit	ns
Iterations	695

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.47 ms

Name	ZK/ValidPaillier/Prover
Real Time	23472389.57
Time Unit	ns
Iterations	30

22.57 ms

Name	ZK/ValidPaillier/Verify
Real Time	22574575.10
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	92819521.25
Time Unit	ns
Iterations	8

87.86 ms

Name	ZK/PaillierZero/Verify
Real Time	87855860.38
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.84 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90842485.25
Time Unit	ns
Iterations	8

183.01 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183013015.25
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

331.86 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331862149.00
Time Unit	ns
Iterations	2

17.50 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17496706.25
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.28 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48281172.14
Time Unit	ns
Iterations	14

98.96 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98959559.57
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.43 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382430959.50
Time Unit	ns
Iterations	2

117.04 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	117042984.33
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

388.25 ms

Name	ZK/PDL/Prover
Real Time	388252488.00
Time Unit	ns
Iterations	2

127.13 ms

Name	ZK/PDL/Verify
Real Time	127129241.60
Time Unit	ns
Iterations	5

76.00 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.63 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297626896.00
Time Unit	ns
Iterations	2

299.55 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	299546556.00
Time Unit	ns
Iterations	2

34.14 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	1003738.49
Time Unit	ns
Iterations	699

0.77 ms

Name	ZK/DL/Verify/3
Real Time	771411.06
Time Unit	ns
Iterations	904

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.63 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1631959.22
Time Unit	ns
Iterations	428

1.60 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	1596476.51
Time Unit	ns
Iterations	457

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

3.67 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	3667383.04
Time Unit	ns
Iterations	191

2.97 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	2974009.33
Time Unit	ns
Iterations	239

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

10.38 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	10380287.81
Time Unit	ns
Iterations	68

12.76 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	12764737.23
Time Unit	ns
Iterations	56

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.91 ms

Name	ZK/DL/Prover/4
Real Time	914216.42
Time Unit	ns
Iterations	763

3.37 ms

Name	ZK/DL/Verify/4
Real Time	3365191.27
Time Unit	ns
Iterations	208

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.53 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1527070.10
Time Unit	ns
Iterations	457

2.56 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	2563609.16
Time Unit	ns
Iterations	274

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.57 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3571977.88
Time Unit	ns
Iterations	196

4.70 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	4699755.15
Time Unit	ns
Iterations	150

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

10.37 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	10368711.59
Time Unit	ns
Iterations	66

19.63 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	19630295.46
Time Unit	ns
Iterations	35

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	535.76
Time Unit	ns
Iterations	1311688

0.02 KB

Name
Real Time
Time Unit
Iterations

9.78 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9780727.51
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.25 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9247162.40
Time Unit	ns
Iterations	75

9.78 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9780727.51
Time Unit	ns
Iterations	72

9.25 ms

Name	sum
Real Time	9247698.16
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

23.47 ms

Name	ZK/ValidPaillier/Prover
Real Time	23472389.57
Time Unit	ns
Iterations	30

22.57 ms

Name	ZK/ValidPaillier/Verify
Real Time	22574575.10
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

92.82 ms

Name	ZK/PaillierZero/Prover
Real Time	92819521.25
Time Unit	ns
Iterations	8

87.86 ms

Name	ZK/PaillierZero/Verify
Real Time	87855860.38
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	35657882.00
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	638.09
Time Unit	ns
Iterations	1096513

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	707831.59
Time Unit	ns
Iterations	989

0.00 KB

Name
Real Time
Time Unit
Iterations

73.54 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73535970.00
Time Unit	ns
Iterations	9

36.37 ms

Name	sum
Real Time	36365713.59
Time Unit	ns
Iterations	-1

73.54 ms

Name	sum
Real Time	73536608.09
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

90.84 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90842485.25
Time Unit	ns
Iterations	8

183.01 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183013015.25
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.72 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129720515.80
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	546.55
Time Unit	ns
Iterations	1284035

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	8802.41
Time Unit	ns
Iterations	77988

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	9727.40
Time Unit	ns
Iterations	84611

129.73 ms

Name	sum
Real Time	129729318.21
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	10273.95
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

331.86 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331862149.00
Time Unit	ns
Iterations	2

17.50 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17496706.25
Time Unit	ns
Iterations	40

Paillier Pedersen Equal

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

20.47 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20473564.76
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	691.31
Time Unit	ns
Iterations	1016140

0.01 KB

Name
Real Time
Time Unit
Iterations

0.36 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	355703.91
Time Unit	ns
Iterations	1967

3.81 KB

Name
Real Time
Time Unit
Iterations

43.90 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43896049.69
Time Unit	ns
Iterations	16

20.83 ms

Name	sum
Real Time	20829268.68
Time Unit	ns
Iterations	-1

43.90 ms

Name	sum
Real Time	43896741.00
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

48.28 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48281172.14
Time Unit	ns
Iterations	14

98.96 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98959559.57
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.92 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10916319.72
Time Unit	ns
Iterations	64

6.60 ms

Name	PVE/vencrypt/Verify/0
Real Time	6595133.81
Time Unit	ns
Iterations	106

7.35 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7351530.07
Time Unit	ns
Iterations	95

Batch(4) - RSA2048

18.61 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18611709.29
Time Unit	ns
Iterations	38

14.10 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14095237.54
Time Unit	ns
Iterations	50

14.88 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14877943.43
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

48.63 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	48629126.64
Time Unit	ns
Iterations	14

43.58 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43576756.19
Time Unit	ns
Iterations	16

44.30 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44299134.00
Time Unit	ns
Iterations	16

Basic - P-256

23.82 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	23815439.97
Time Unit	ns
Iterations	29

13.01 ms

Name	PVE/vencrypt/Verify/1
Real Time	13014454.28
Time Unit	ns
Iterations	54

13.13 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13132449.36
Time Unit	ns
Iterations	53

Batch(4) - P-256

31.50 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31500508.18
Time Unit	ns
Iterations	22

20.50 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20499702.18
Time Unit	ns
Iterations	34

20.65 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20646462.53
Time Unit	ns
Iterations	34

Batch(16) - P-256

61.17 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	61174900.18
Time Unit	ns
Iterations	11

49.80 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	49800240.07
Time Unit	ns
Iterations	14

50.09 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	50086233.79
Time Unit	ns
Iterations	14

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

561.00 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	560996772.00
Time Unit	ns
Iterations	1

305.57 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	305568462.50
Time Unit	ns
Iterations	2

3.65 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	3651851.80
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.22 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6222680.04
Time Unit	ns
Iterations	112

12.31 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12312643.72
Time Unit	ns
Iterations	57

24.54 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24535435.18
Time Unit	ns
Iterations	28

49.00 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	49000081.57
Time Unit	ns
Iterations	14

99.42 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	99419860.29
Time Unit	ns
Iterations	7

195.86 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195856454.25
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.45 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26452038.46
Time Unit	ns
Iterations	26

52.82 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	52824655.46
Time Unit	ns
Iterations	13

105.90 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	105902629.86
Time Unit	ns
Iterations	7

211.09 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	211085247.00
Time Unit	ns
Iterations	3

422.42 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	422421954.00
Time Unit	ns
Iterations	2

845.16 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	845156583.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.48 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3484027.88
Time Unit	ns
Iterations	201

6.97 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6969017.86
Time Unit	ns
Iterations	101

13.91 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13912058.52
Time Unit	ns
Iterations	50

27.87 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27865585.20
Time Unit	ns
Iterations	25

55.82 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55823142.46
Time Unit	ns
Iterations	13

111.73 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	111728096.83
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.50 ms

Name	Full-OT-2P/1/1/2048
Real Time	24501975.38
Time Unit	ns
Iterations	29

message 1

round 2

109.69 ms

Name	Full-OT-2P/2/2/2048
Real Time	109693065.00
Time Unit	ns
Iterations	6

message 2

round 3

18.58 ms

Name	Full-OT-2P/3/1/2048
Real Time	18576535.82
Time Unit	ns
Iterations	38

message 3

Output Round

0.89 ms

Name	Full-OT-2P/4/2/2048
Real Time	891108.36
Time Unit	ns
Iterations	779

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.48 ms

Name	Full-OT-2P/1/1/4096
Real Time	24483690.66
Time Unit	ns
Iterations	29

message 1

round 2

110.69 ms

Name	Full-OT-2P/2/2/4096
Real Time	110688127.67
Time Unit	ns
Iterations	6

message 2

round 3

21.83 ms

Name	Full-OT-2P/3/1/4096
Real Time	21830830.00
Time Unit	ns
Iterations	32

message 3

Output Round

1.78 ms

Name	Full-OT-2P/4/2/4096
Real Time	1784151.54
Time Unit	ns
Iterations	391

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.58 ms

Name	Full-OT-2P/1/1/65536
Real Time	24575554.66
Time Unit	ns
Iterations	29

message 1

round 2

141.07 ms

Name	Full-OT-2P/2/2/65536
Real Time	141072624.40
Time Unit	ns
Iterations	5

message 2

round 3

120.28 ms

Name	Full-OT-2P/3/1/65536
Real Time	120279431.83
Time Unit	ns
Iterations	6

message 3

Output Round

28.50 ms

Name	Full-OT-2P/4/2/65536
Real Time	28496673.08
Time Unit	ns
Iterations	25

Agree Random - 256 bits

msg

Total Time

round 1

76.70 μs

Name	AgreeRandom-2P/1/1/256
Real Time	76702.19
Time Unit	ns
Iterations	10000

43.28 μs

Name	AgreeRandom-2P/1/2/256
Real Time	43282.75
Time Unit	ns
Iterations	10000

message 1

round 2

0.82 μs

Name	AgreeRandom-2P/2/1/256
Real Time	816.30
Time Unit	ns
Iterations	10000

13.35 μs

Name	AgreeRandom-2P/2/2/256
Real Time	13349.85
Time Unit	ns
Iterations	10000

message 2

round 3

0.62 μs

Name	AgreeRandom-2P/3/1/256
Real Time	621.87
Time Unit	ns
Iterations	10000

0.53 μs

Name	AgreeRandom-2P/3/2/256
Real Time	527.07
Time Unit	ns
Iterations	10000

message 3

Output Round

50.23 μs

Name	AgreeRandom-2P/4/1/256
Real Time	50227.31
Time Unit	ns
Iterations	10000

58.04 μs

Name	AgreeRandom-2P/4/2/256
Real Time	58038.58
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

75.19 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	75190.67
Time Unit	ns
Iterations	10000

42.71 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	42705.75
Time Unit	ns
Iterations	10000

message 1

round 2

0.81 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	809.93
Time Unit	ns
Iterations	10000

13.47 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	13469.14
Time Unit	ns
Iterations	10000

message 2

round 3

0.87 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	866.08
Time Unit	ns
Iterations	10000

0.59 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	593.22
Time Unit	ns
Iterations	10000

message 3

Output Round

49.44 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	49442.29
Time Unit	ns
Iterations	10000

58.56 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	58556.64
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

77.04 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	77035.78
Time Unit	ns
Iterations	10000

42.67 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	42673.91
Time Unit	ns
Iterations	10000

message 1

round 2

0.80 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	804.78
Time Unit	ns
Iterations	10000

13.75 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	13749.21
Time Unit	ns
Iterations	10000

message 2

round 3

1.22 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1215.86
Time Unit	ns
Iterations	10000

0.79 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	792.00
Time Unit	ns
Iterations	10000

message 3

Output Round

55.03 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	55031.91
Time Unit	ns
Iterations	10000

60.31 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	60305.05
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

68.98 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	68984.67
Time Unit	ns
Iterations	10000

41.90 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	41901.12
Time Unit	ns
Iterations	10000

message 1

round 2

0.61 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	613.55
Time Unit	ns
Iterations	10000

13.26 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	13263.95
Time Unit	ns
Iterations	10000

message 2

Output Round

65.12 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	65122.43
Time Unit	ns
Iterations	10000

54.72 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	54715.37
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

68.52 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	68515.50
Time Unit	ns
Iterations	10000

42.24 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	42242.80
Time Unit	ns
Iterations	10000

message 1

round 2

0.60 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	596.52
Time Unit	ns
Iterations	10000

13.30 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	13295.86
Time Unit	ns
Iterations	10000

message 2

Output Round

65.11 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	65113.37
Time Unit	ns
Iterations	10000

58.97 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	58968.98
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

67.61 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	67607.35
Time Unit	ns
Iterations	10000

42.19 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	42191.30
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	623.67
Time Unit	ns
Iterations	10000

13.13 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	13134.90
Time Unit	ns
Iterations	10000

message 2

Output Round

65.65 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	65649.85
Time Unit	ns
Iterations	10000

59.22 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	59216.12
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

69.26 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	69255.44
Time Unit	ns
Iterations	10000

42.49 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	42491.22
Time Unit	ns
Iterations	10000

message 1

round 2

0.60 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	603.21
Time Unit	ns
Iterations	10000

13.78 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	13777.78
Time Unit	ns
Iterations	10000

message 2

Output Round

64.48 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	64480.88
Time Unit	ns
Iterations	10000

55.69 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	55690.75
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

69.69 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	69689.27
Time Unit	ns
Iterations	10000

42.54 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	42542.22
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	623.88
Time Unit	ns
Iterations	10000

12.67 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	12668.01
Time Unit	ns
Iterations	10000

message 2

Output Round

63.88 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	63878.59
Time Unit	ns
Iterations	10000

57.60 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	57598.97
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.09 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	94537.80
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	66313.80
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	803.40
Time Unit	ns
Iterations	10

1.12 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1123917.60
Time Unit	ns
Iterations	10

message 2

round 3

5.85 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	5849840.50
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2638.10
Time Unit	ns
Iterations	10

message 3

Output Round

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	70151.30
Time Unit	ns
Iterations	10

4.82 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	4819787.00
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.08 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	76203.83
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	43286.78
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	985.34
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	13007.91
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	731.71
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	556.46
Time Unit	ns
Iterations	200

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	56070.31
Time Unit	ns
Iterations	200

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	61607.59
Time Unit	ns
Iterations	200

Sign - #Msg=1

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-Sign-2P/1/1/1
Real Time	95716.72
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	46379.70
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	983.86
Time Unit	ns
Iterations	50

1.49 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1486116.98
Time Unit	ns
Iterations	50

message 2

round 3

5.34 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	5343048.04
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2819.42
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	19763.64
Time Unit	ns
Iterations	50

3.93 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	3927577.52
Time Unit	ns
Iterations	50

message 4

Output Round

0.21 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	211187.86
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	74137.74
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	161354.62
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	44672.16
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1071.50
Time Unit	ns
Iterations	50

1.87 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1874043.94
Time Unit	ns
Iterations	50

message 2

round 3

6.33 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	6331004.96
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2655.84
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	53091.86
Time Unit	ns
Iterations	50

4.62 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	4621681.30
Time Unit	ns
Iterations	50

message 4

Output Round

0.60 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	597166.46
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	77386.52
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	413041.30
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	45868.64
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	860.56
Time Unit	ns
Iterations	50

4.09 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4089607.46
Time Unit	ns
Iterations	50

message 2

round 3

11.57 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	11569829.42
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2674.24
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	191559.68
Time Unit	ns
Iterations	50

7.91 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	7908863.70
Time Unit	ns
Iterations	50

message 4

Output Round

2.15 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2150883.48
Time Unit	ns
Iterations	50

0.09 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	88900.28
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

207.41 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	207414242.15
Time Unit	ns
Iterations	20

0.08 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	76658.40
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2673.95
Time Unit	ns
Iterations	20

1.31 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1306836.65
Time Unit	ns
Iterations	20

message 2

round 3

17.32 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17324401.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2188.15
Time Unit	ns
Iterations	20

message 3

Output Round

0.16 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	156846.35
Time Unit	ns
Iterations	20

77.88 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	77881997.25
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

95.65 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	95653086.45
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	48449.85
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1578.95
Time Unit	ns
Iterations	20

1.62 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	1618434.25
Time Unit	ns
Iterations	20

message 2

round 3

10.58 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10579283.05
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1518.20
Time Unit	ns
Iterations	20

message 3

Output Round

0.13 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	128222.90
Time Unit	ns
Iterations	20

85.75 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85748845.95
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.56 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1564745.30
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	55135.45
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	778.10
Time Unit	ns
Iterations	20

1.51 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1510674.90
Time Unit	ns
Iterations	20

message 2

round 3

1.88 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1882618.75
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2683.55
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	4960.35
Time Unit	ns
Iterations	20

42.86 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42855210.50
Time Unit	ns
Iterations	20

message 4

Output Round

24.68 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	24684940.50
Time Unit	ns
Iterations	20

0.10 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	102829.25
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

1.96 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	1963916.50
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	44615.00
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	702.35
Time Unit	ns
Iterations	20

1.89 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1889894.90
Time Unit	ns
Iterations	20

message 2

round 3

2.26 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2257474.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2155.95
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	4253.50
Time Unit	ns
Iterations	20

166.66 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	166662078.55
Time Unit	ns
Iterations	20

message 4

Output Round

97.75 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	97747030.15
Time Unit	ns
Iterations	20

0.14 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	136553.70
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.21 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4207070.30
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	53626.10
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	771.30
Time Unit	ns
Iterations	20

4.19 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4188968.40
Time Unit	ns
Iterations	20

message 2

round 3

4.32 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	4324612.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3441.90
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	4600.05
Time Unit	ns
Iterations	20

658.96 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	658957025.05
Time Unit	ns
Iterations	20

message 4

Output Round

390.53 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	390533972.15
Time Unit	ns
Iterations	20

0.18 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	180798.95
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.56 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1560419.50
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	47815.05
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	847.00
Time Unit	ns
Iterations	20

1.49 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1489215.45
Time Unit	ns
Iterations	20

message 2

round 3

1.85 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1853230.80
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2507.70
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	3883.10
Time Unit	ns
Iterations	20

12.96 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	12963282.35
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

1.99 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	1987966.35
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	51723.65
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	838.00
Time Unit	ns
Iterations	20

1.88 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1878429.95
Time Unit	ns
Iterations	20

message 2

round 3

2.25 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2249551.25
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	2652.85
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	4989.85
Time Unit	ns
Iterations	20

46.55 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	46548550.40
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

4.40 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4396017.85
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	50281.45
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	761.05
Time Unit	ns
Iterations	20

4.11 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4113704.90
Time Unit	ns
Iterations	20

message 2

round 3

4.30 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	4300055.60
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	2399.40
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	5660.80
Time Unit	ns
Iterations	20

180.88 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	180881695.05
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

0.27 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	273056.00
Time Unit	ns
Iterations	1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	239869.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	220770.00
Time Unit	ns
Iterations	1

0.19 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	191806.00
Time Unit	ns
Iterations	1

message 1

round 2

1.59 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1587226.00
Time Unit	ns
Iterations	1

1.58 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1583389.00
Time Unit	ns
Iterations	1

1.57 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1573721.00
Time Unit	ns
Iterations	1

1.66 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1662117.00
Time Unit	ns
Iterations	1

message 2

Output Round

14.46 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	14456955.00
Time Unit	ns
Iterations	1

14.34 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	14339959.00
Time Unit	ns
Iterations	1

14.34 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	14342569.00
Time Unit	ns
Iterations	1

14.43 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	14433793.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.66 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4660896.80
Time Unit	ns
Iterations	10

4.69 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4689433.50
Time Unit	ns
Iterations	10

4.66 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4663977.60
Time Unit	ns
Iterations	10

4.72 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4720560.30
Time Unit	ns
Iterations	10

message 1

round 2

2.65 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2649045.20
Time Unit	ns
Iterations	10

2.64 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2644573.90
Time Unit	ns
Iterations	10

2.64 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2639796.90
Time Unit	ns
Iterations	10

2.64 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2644545.60
Time Unit	ns
Iterations	10

message 2

Output Round

48.25 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	48247796.10
Time Unit	ns
Iterations	10

48.20 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	48201132.80
Time Unit	ns
Iterations	10

48.21 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	48212774.80
Time Unit	ns
Iterations	10

48.21 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	48212651.50
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	268242.80
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	270356.80
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	268641.20
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	264140.80
Time Unit	ns
Iterations	10

message 1

round 2

2.55 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2546614.90
Time Unit	ns
Iterations	10

2.50 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2499687.10
Time Unit	ns
Iterations	10

2.50 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2500056.10
Time Unit	ns
Iterations	10

2.48 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2482943.90
Time Unit	ns
Iterations	10

message 2

round 3

13.15 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	13154736.00
Time Unit	ns
Iterations	10

13.08 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	13084212.90
Time Unit	ns
Iterations	10

13.05 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	13050840.20
Time Unit	ns
Iterations	10

13.09 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	13087302.00
Time Unit	ns
Iterations	10

message 3

Output Round

0.54 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	540081.50
Time Unit	ns
Iterations	10

0.14 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	139777.80
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	133318.30
Time Unit	ns
Iterations	10

0.14 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	139560.80
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	186337.10
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	173859.40
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	180842.40
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	183723.10
Time Unit	ns
Iterations	10

message 1

round 2

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1346667.80
Time Unit	ns
Iterations	10

1.37 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1365392.00
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1349724.40
Time Unit	ns
Iterations	10

1.36 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1364084.30
Time Unit	ns
Iterations	10

message 2

Output Round

3.29 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3285123.20
Time Unit	ns
Iterations	10

3.28 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3283079.20
Time Unit	ns
Iterations	10

3.26 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3264139.40
Time Unit	ns
Iterations	10

3.30 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3301483.50
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.70 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4702679.10
Time Unit	ns
Iterations	10

4.76 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4760303.20
Time Unit	ns
Iterations	10

4.70 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4696741.80
Time Unit	ns
Iterations	10

4.75 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4750410.80
Time Unit	ns
Iterations	10

message 1

round 2

1.27 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1265926.70
Time Unit	ns
Iterations	10

1.25 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1251474.80
Time Unit	ns
Iterations	10

1.37 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1373239.80
Time Unit	ns
Iterations	10

1.24 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1242713.50
Time Unit	ns
Iterations	10

message 2

Output Round

11.42 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	11417020.40
Time Unit	ns
Iterations	10

11.25 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	11252539.80
Time Unit	ns
Iterations	10

11.84 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11836167.70
Time Unit	ns
Iterations	10

11.27 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	11270315.30
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	225085.60
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	234719.60
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	232150.40
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	222772.70
Time Unit	ns
Iterations	10

message 1

round 2

69.82 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69819910.50
Time Unit	ns
Iterations	10

47.03 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	47034488.40
Time Unit	ns
Iterations	10

24.26 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24264041.20
Time Unit	ns
Iterations	10

1.38 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1379182.40
Time Unit	ns
Iterations	10

message 2

round 3

3.20 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3201814.90
Time Unit	ns
Iterations	10

98.57 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	98565311.90
Time Unit	ns
Iterations	10

193.62 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	193618862.80
Time Unit	ns
Iterations	10

289.83 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	289829006.60
Time Unit	ns
Iterations	10

message 3

round 4

72.93 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	72926547.90
Time Unit	ns
Iterations	10

50.77 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	50766003.70
Time Unit	ns
Iterations	10

28.92 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	28917665.90
Time Unit	ns
Iterations	10

7.18 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	7180812.10
Time Unit	ns
Iterations	10

message 4

round 5

10.00 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	10000873.60
Time Unit	ns
Iterations	10

12.79 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12788020.40
Time Unit	ns
Iterations	10

15.32 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	15323038.70
Time Unit	ns
Iterations	10

17.85 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17848899.40
Time Unit	ns
Iterations	10

message 5

round 6

12.01 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	12006393.40
Time Unit	ns
Iterations	10

10.67 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10672990.80
Time Unit	ns
Iterations	10

9.39 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9392831.20
Time Unit	ns
Iterations	10

8.01 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	8010489.40
Time Unit	ns
Iterations	10

message 6

round 7

22.16 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	22155658.40
Time Unit	ns
Iterations	10

22.30 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	22304850.90
Time Unit	ns
Iterations	10

22.05 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	22052198.20
Time Unit	ns
Iterations	10

22.15 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	22147484.50
Time Unit	ns
Iterations	10

message 7

round 8

9.51 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9508141.50
Time Unit	ns
Iterations	10

9.48 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9480618.40
Time Unit	ns
Iterations	10

9.47 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9471405.90
Time Unit	ns
Iterations	10

9.52 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9517669.20
Time Unit	ns
Iterations	10

message 8

round 9

2.80 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2797803.00
Time Unit	ns
Iterations	10

2.78 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2780074.00
Time Unit	ns
Iterations	10

2.77 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2766687.10
Time Unit	ns
Iterations	10

2.77 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2766557.30
Time Unit	ns
Iterations	10

message 9

Output Round

2.52 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2519405.50
Time Unit	ns
Iterations	10

1.32 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1320153.50
Time Unit	ns
Iterations	10

1.32 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1322419.40
Time Unit	ns
Iterations	10

1.37 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1368658.90
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