Benchmark Context

Date: 2025-11-04T17:23:46+00:00
Commit: d2a3b9b38f17b1fe41c3923e0a10d956adfdeffc
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3205

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.07 μs

Name	Core/BN/ModAdd/256
Real Time	67.58
Time Unit	ns
Iterations	10370201

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	81.39
Time Unit	ns
Iterations	8628226

0.11 μs

Name	Core/BN/ModAdd/1024
Real Time	109.25
Time Unit	ns
Iterations	6408291

0.18 μs

Name	Core/BN/ModAdd/2048
Real Time	182.30
Time Unit	ns
Iterations	3837354

0.28 μs

Name	Core/BN/ModAdd/4096
Real Time	282.41
Time Unit	ns
Iterations	2473167

Mod Sub

0.06 μs

Name	Core/BN/ModSubtract/256
Real Time	60.41
Time Unit	ns
Iterations	11665633

0.07 μs

Name	Core/BN/ModSubtract/512
Real Time	74.30
Time Unit	ns
Iterations	9437732

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	111.04
Time Unit	ns
Iterations	6290568

0.19 μs

Name	Core/BN/ModSubtract/2048
Real Time	186.04
Time Unit	ns
Iterations	3629500

0.33 μs

Name	Core/BN/ModSubtract/4096
Real Time	328.27
Time Unit	ns
Iterations	2128804

Mod Mul

0.14 μs

Name	Core/BN/ModMultiply/256
Real Time	143.79
Time Unit	ns
Iterations	4850012

0.28 μs

Name	Core/BN/ModMultiply/512
Real Time	283.28
Time Unit	ns
Iterations	2468918

0.82 μs

Name	Core/BN/ModMultiply/1024
Real Time	824.52
Time Unit	ns
Iterations	851062

2.73 μs

Name	Core/BN/ModMultiply/2048
Real Time	2728.21
Time Unit	ns
Iterations	256000

10.97 μs

Name	Core/BN/ModMultiply/4096
Real Time	10973.46
Time Unit	ns
Iterations	63669

Mod Exponentiate

16.28 μs

Name	Core/BN/ModExponentiate/256
Real Time	16279.71
Time Unit	ns
Iterations	42784

42.02 μs

Name	Core/BN/ModExponentiate/512
Real Time	42019.28
Time Unit	ns
Iterations	16704

310.87 μs

Name	Core/BN/ModExponentiate/1024
Real Time	310866.77
Time Unit	ns
Iterations	2249

2211.19 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2211191.78
Time Unit	ns
Iterations	316

16526.28 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16526278.07
Time Unit	ns
Iterations	42

Mod Invert

17.47 μs

Name	Core/BN/ModInvert/256
Real Time	17473.51
Time Unit	ns
Iterations	39996

36.94 μs

Name	Core/BN/ModInvert/512
Real Time	36944.58
Time Unit	ns
Iterations	18853

87.74 μs

Name	Core/BN/ModInvert/1024
Real Time	87739.92
Time Unit	ns
Iterations	7986

228.32 μs

Name	Core/BN/ModInvert/2048
Real Time	228320.19
Time Unit	ns
Iterations	3065

677.52 μs

Name	Core/BN/ModInvert/4096
Real Time	677516.70
Time Unit	ns
Iterations	1032

GCD

23.12 μs

Name	Core/BN/GCD/256
Real Time	23122.04
Time Unit	ns
Iterations	30599

50.67 μs

Name	Core/BN/GCD/512
Real Time	50671.18
Time Unit	ns
Iterations	13337

129.44 μs

Name	Core/BN/GCD/1024
Real Time	129435.31
Time Unit	ns
Iterations	5493

366.64 μs

Name	Core/BN/GCD/2048
Real Time	366643.75
Time Unit	ns
Iterations	1913

1202.41 μs

Name	Core/BN/GCD/4096
Real Time	1202414.39
Time Unit	ns
Iterations	581

GCD with RSA Modulus

22.91 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	22911.10
Time Unit	ns
Iterations	30031

51.84 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	51836.85
Time Unit	ns
Iterations	13755

132.04 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	132043.44
Time Unit	ns
Iterations	5344

366.83 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	366831.02
Time Unit	ns
Iterations	1904

1216.24 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1216238.15
Time Unit	ns
Iterations	584

Batch(16) GCD with RSA Modulus

25.05 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25047.60
Time Unit	ns
Iterations	27200

56.75 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	56754.53
Time Unit	ns
Iterations	12218

139.99 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	139994.11
Time Unit	ns
Iterations	4973

408.00 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	407999.79
Time Unit	ns
Iterations	1696

1368.81 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1368809.89
Time Unit	ns
Iterations	510

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	357.05
Time Unit	ns
Iterations	1949405

0.31 μs

Name	Core/EC/Add/Ed25519
Real Time	307.89
Time Unit	ns
Iterations	2274132

Add (Constant Time)

0.35 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	346.33
Time Unit	ns
Iterations	2016103

0.31 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	309.66
Time Unit	ns
Iterations	2272646

Multiply

41.38 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41375.74
Time Unit	ns
Iterations	16870

63.81 μs

Name	Core/EC/Multiply/Ed25519
Real Time	63814.15
Time Unit	ns
Iterations	10959

Multiply (Variable Time)

32.67 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	32669.73
Time Unit	ns
Iterations	21408

63.10 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	63104.38
Time Unit	ns
Iterations	11090

Multiply Generator

20.01 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	20014.50
Time Unit	ns
Iterations	34984

14.25 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14246.44
Time Unit	ns
Iterations	49170

Multipliply Generator (Variable Time)

20.04 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	20037.71
Time Unit	ns
Iterations	34808

7.26 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7258.03
Time Unit	ns
Iterations	95818

MulAdd

61.74 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	61735.44
Time Unit	ns
Iterations	11354

78.28 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	78282.46
Time Unit	ns
Iterations	8943

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

0.31 μs

Name	Core/Hash/SHA256/1
Real Time	311.14
Time Unit	ns
Iterations	2241213

0.31 μs

Name	Core/Hash/SHA256/4
Real Time	310.06
Time Unit	ns
Iterations	2249141

0.31 μs

Name	Core/Hash/SHA256/16
Real Time	307.34
Time Unit	ns
Iterations	2270674

0.35 μs

Name	Core/Hash/SHA256/64
Real Time	348.19
Time Unit	ns
Iterations	2010271

0.47 μs

Name	Core/Hash/SHA256/256
Real Time	468.22
Time Unit	ns
Iterations	1496192

0.96 μs

Name	Core/Hash/SHA256/1024
Real Time	963.57
Time Unit	ns
Iterations	737660

2.87 μs

Name	Core/Hash/SHA256/4096
Real Time	2872.87
Time Unit	ns
Iterations	243458

HMAC-SHA256

0.31 μs

Name	Core/Hash/HMAC-SHA256/1
Real Time	309.92
Time Unit	ns
Iterations	2253859

0.31 μs

Name	Core/Hash/HMAC-SHA256/4
Real Time	309.44
Time Unit	ns
Iterations	2262737

0.31 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	306.16
Time Unit	ns
Iterations	2286691

0.35 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	345.69
Time Unit	ns
Iterations	2021007

0.46 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	464.92
Time Unit	ns
Iterations	1503327

0.95 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	947.30
Time Unit	ns
Iterations	739552

2.87 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	2873.32
Time Unit	ns
Iterations	243571

AES-GCM-128

0.68 μs

Name	Core/Hash/AES-GCM-128/1
Real Time	677.55
Time Unit	ns
Iterations	1037508

0.68 μs

Name	Core/Hash/AES-GCM-128/4
Real Time	678.60
Time Unit	ns
Iterations	1014520

0.68 μs

Name	Core/Hash/AES-GCM-128/16
Real Time	683.95
Time Unit	ns
Iterations	1026134

0.70 μs

Name	Core/Hash/AES-GCM-128/64
Real Time	703.91
Time Unit	ns
Iterations	992253

0.76 μs

Name	Core/Hash/AES-GCM-128/256
Real Time	757.86
Time Unit	ns
Iterations	923455

0.95 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	947.98
Time Unit	ns
Iterations	738562

1.66 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1657.01
Time Unit	ns
Iterations	419917

AES-GCM-256

0.68 μs

Name	Core/Hash/AES-GCM-256/1
Real Time	680.91
Time Unit	ns
Iterations	1028428

0.68 μs

Name	Core/Hash/AES-GCM-256/4
Real Time	681.48
Time Unit	ns
Iterations	1027884

0.68 μs

Name	Core/Hash/AES-GCM-256/16
Real Time	678.74
Time Unit	ns
Iterations	1025302

0.70 μs

Name	Core/Hash/AES-GCM-256/64
Real Time	704.31
Time Unit	ns
Iterations	994593

0.75 μs

Name	Core/Hash/AES-GCM-256/256
Real Time	753.07
Time Unit	ns
Iterations	929653

0.95 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	946.82
Time Unit	ns
Iterations	741075

1.65 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1651.29
Time Unit	ns
Iterations	423629

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	82961.40
Time Unit	ns
Iterations	8440

94.18 μs

Name	BP/ElGamal/Commit/4
Real Time	94176.59
Time Unit	ns
Iterations	7467

Rerand

62.37 μs

Name	BP/ElGamal/Rerand/3
Real Time	62373.30
Time Unit	ns
Iterations	11063

78.72 μs

Name	BP/ElGamal/Rerand/4
Real Time	78716.76
Time Unit	ns
Iterations	8912

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	756.93
Time Unit	ns
Iterations	911952

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	661.05
Time Unit	ns
Iterations	1063124

Add Scalar

20.49 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20494.48
Time Unit	ns
Iterations	34215

7.65 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7653.71
Time Unit	ns
Iterations	91646

Mul Scalar

82.87 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82873.29
Time Unit	ns
Iterations	8447

126.88 μs

Name	BP/ElGamal/MulScalar/4
Real Time	126881.25
Time Unit	ns
Iterations	5520

Paillier

Operation \ Bit length

2048 bits

Generate Key

63.86 ms

Name	BP/Paillier/Gen
Real Time	63864403.95
Time Unit	ns
Iterations	19

Encrypt (with private key)

4.51 ms

Name	BP/Paillier/Enc
Real Time	4514244.15
Time Unit	ns
Iterations	155

Encrypt

8.56 ms

Name	BP/Paillier/Pub-Enc
Real Time	8564777.10
Time Unit	ns
Iterations	81

Decrypt

4.50 ms

Name	BP/Paillier/Dec
Real Time	4503995.53
Time Unit	ns
Iterations	155

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11054.54
Time Unit	ns
Iterations	62744

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	12856.55
Time Unit	ns
Iterations	54411

Mul-Scalar

8.32 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8321116.00
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.95 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189953.82
Time Unit	ns
Iterations	3691

189.91 μs

Name	tdh2-encrypt-1P/30/256
Real Time	189905.95
Time Unit	ns
Iterations	3685

269.10 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	269103.39
Time Unit	ns
Iterations	2594

269.47 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	269468.81
Time Unit	ns
Iterations	2600

Verify

200.42 μs

Name	tdh2-verify-1P/4/256
Real Time	200420.94
Time Unit	ns
Iterations	3476

220.86 μs

Name	tdh2-verify-1P/30/256
Real Time	220861.31
Time Unit	ns
Iterations	2909

241.99 μs

Name	tdh2-verify-1P/4/65536
Real Time	241993.88
Time Unit	ns
Iterations	2656

262.23 μs

Name	tdh2-verify-1P/30/65536
Real Time	262230.78
Time Unit	ns
Iterations	2897

Local Decrypt

322.46 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	322461.38
Time Unit	ns
Iterations	1732

363.66 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	363661.65
Time Unit	ns
Iterations	2031

364.60 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	364596.07
Time Unit	ns
Iterations	1916

405.73 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	405729.56
Time Unit	ns
Iterations	1922

Combine

922.92 μs

Name	tdh2-combine-1P/4/256
Real Time	922918.52
Time Unit	ns
Iterations	745

5424.91 μs

Name	tdh2-combine-1P/30/256
Real Time	5424905.45
Time Unit	ns
Iterations	129

979.20 μs

Name	tdh2-combine-1P/4/65536
Real Time	979200.32
Time Unit	ns
Iterations	716

5454.63 μs

Name	tdh2-combine-1P/30/65536
Real Time	5454629.53
Time Unit	ns
Iterations	128

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.42 μs

Name	Crypto/DRBG/String/1024
Real Time	1416.82
Time Unit	ns
Iterations	491000

1.48 μs

Name	Crypto/DRBG/String/2048
Real Time	1475.72
Time Unit	ns
Iterations	473350

1.58 μs

Name	Crypto/DRBG/String/4096
Real Time	1577.02
Time Unit	ns
Iterations	445317

1.80 μs

Name	Crypto/DRBG/String/8192
Real Time	1797.13
Time Unit	ns
Iterations	389485

2.33 μs

Name	Crypto/DRBG/String/16384
Real Time	2333.00
Time Unit	ns
Iterations	298590

3.25 μs

Name	Crypto/DRBG/String/32768
Real Time	3254.07
Time Unit	ns
Iterations	215285

5.07 μs

Name	Crypto/DRBG/String/65536
Real Time	5066.37
Time Unit	ns
Iterations	138785

8.70 μs

Name	Crypto/DRBG/String/131072
Real Time	8704.13
Time Unit	ns
Iterations	80512

16.00 μs

Name	Crypto/DRBG/String/262144
Real Time	15998.42
Time Unit	ns
Iterations	43378

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.68 μs

Name	Crypto/DRBG/Number/256
Real Time	1677.49
Time Unit	ns
Iterations	417752

1.82 μs

Name	Crypto/DRBG/Number/512
Real Time	1823.62
Time Unit	ns
Iterations	390550

1.98 μs

Name	Crypto/DRBG/Number/1024
Real Time	1976.61
Time Unit	ns
Iterations	353449

2.36 μs

Name	Crypto/DRBG/Number/2048
Real Time	2359.40
Time Unit	ns
Iterations	295977

3.14 μs

Name	Crypto/DRBG/Number/4096
Real Time	3144.38
Time Unit	ns
Iterations	223689

Curve

secp256k1

Ed25519

DRBG-Curve

22.08 μs

Name	Crypto/DRBG/Curve/3
Real Time	22076.15
Time Unit	ns
Iterations	31701

16.38 μs

Name	Crypto/DRBG/Curve/4
Real Time	16382.81
Time Unit	ns
Iterations	43018

HMAC

#big number

Commit

2.65 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2649.71
Time Unit	ns
Iterations	264231

2.89 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2886.84
Time Unit	ns
Iterations	242033

3.20 μs

Name	Crypto/Commitment/ComBn/6
Real Time	3197.86
Time Unit	ns
Iterations	218335

3.44 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3437.43
Time Unit	ns
Iterations	203835

3.68 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3681.05
Time Unit	ns
Iterations	189789

3.92 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3916.28
Time Unit	ns
Iterations	178721

4.18 μs

Name	Crypto/Commitment/ComBn/14
Real Time	4179.32
Time Unit	ns
Iterations	167276

4.46 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4456.21
Time Unit	ns
Iterations	156965

4.70 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4696.33
Time Unit	ns
Iterations	148071

4.95 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4953.53
Time Unit	ns
Iterations	141007

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	82961.40
Time Unit	ns
Iterations	8440

94.18 μs

Name	BP/ElGamal/Commit/4
Real Time	94176.59
Time Unit	ns
Iterations	7467

Rerand

62.37 μs

Name	BP/ElGamal/Rerand/3
Real Time	62373.30
Time Unit	ns
Iterations	11063

78.72 μs

Name	BP/ElGamal/Rerand/4
Real Time	78716.76
Time Unit	ns
Iterations	8912

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	756.93
Time Unit	ns
Iterations	911952

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	661.05
Time Unit	ns
Iterations	1063124

Add Scalar

20.49 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20494.48
Time Unit	ns
Iterations	34215

7.65 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7653.71
Time Unit	ns
Iterations	91646

Mul Scalar

82.87 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82873.29
Time Unit	ns
Iterations	8447

126.88 μs

Name	BP/ElGamal/MulScalar/4
Real Time	126881.25
Time Unit	ns
Iterations	5520

Shamir Secret Sharing

m\n

16.77 μs

Name	BP/Share/Shamir/10/2
Real Time	16774.32
Time Unit	ns
Iterations	41760

18.76 μs

Name	BP/Share/Shamir/10/3
Real Time	18758.19
Time Unit	ns
Iterations	37411

20.95 μs

Name	BP/Share/Shamir/10/4
Real Time	20951.93
Time Unit	ns
Iterations	33453

22.87 μs

Name	BP/Share/Shamir/10/5
Real Time	22869.37
Time Unit	ns
Iterations	30396

25.05 μs

Name	BP/Share/Shamir/10/6
Real Time	25050.49
Time Unit	ns
Iterations	28051

27.27 μs

Name	BP/Share/Shamir/10/7
Real Time	27272.07
Time Unit	ns
Iterations	25750

34.33 μs

Name	BP/Share/Shamir/20/2
Real Time	34327.10
Time Unit	ns
Iterations	20319

38.76 μs

Name	BP/Share/Shamir/20/3
Real Time	38755.36
Time Unit	ns
Iterations	18074

42.85 μs

Name	BP/Share/Shamir/20/4
Real Time	42851.64
Time Unit	ns
Iterations	16240

46.93 μs

Name	BP/Share/Shamir/20/5
Real Time	46927.73
Time Unit	ns
Iterations	14923

51.45 μs

Name	BP/Share/Shamir/20/6
Real Time	51454.53
Time Unit	ns
Iterations	13691

55.48 μs

Name	BP/Share/Shamir/20/7
Real Time	55482.51
Time Unit	ns
Iterations	12636

52.01 μs

Name	BP/Share/Shamir/30/2
Real Time	52014.02
Time Unit	ns
Iterations	13477

58.71 μs

Name	BP/Share/Shamir/30/3
Real Time	58709.16
Time Unit	ns
Iterations	11918

64.76 μs

Name	BP/Share/Shamir/30/4
Real Time	64758.93
Time Unit	ns
Iterations	10838

70.92 μs

Name	BP/Share/Shamir/30/5
Real Time	70921.24
Time Unit	ns
Iterations	9694

77.67 μs

Name	BP/Share/Shamir/30/6
Real Time	77667.18
Time Unit	ns
Iterations	8998

83.88 μs

Name	BP/Share/Shamir/30/7
Real Time	83876.15
Time Unit	ns
Iterations	8357

Horner's rule

m\n

256 bit field

0.49 μs

Name	BP/Share/Horner/3
Real Time	489.52
Time Unit	ns
Iterations	1405227

0.70 μs

Name	BP/Share/Horner/4
Real Time	703.61
Time Unit	ns
Iterations	1005532

1.13 μs

Name	BP/Share/Horner/6
Real Time	1125.96
Time Unit	ns
Iterations	620624

1.55 μs

Name	BP/Share/Horner/8
Real Time	1552.94
Time Unit	ns
Iterations	452465

1.99 μs

Name	BP/Share/Horner/10
Real Time	1992.01
Time Unit	ns
Iterations	351462

3.26 μs

Name	BP/Share/Horner/16
Real Time	3264.21
Time Unit	ns
Iterations	214048

6.66 μs

Name	BP/Share/Horner/32
Real Time	6662.43
Time Unit	ns
Iterations	104931

secp256k1

83.63 μs

Name	BP/Share/ECHorner/3/3
Real Time	83626.23
Time Unit	ns
Iterations	8386

125.18 μs

Name	BP/Share/ECHorner/3/4
Real Time	125175.38
Time Unit	ns
Iterations	5547

209.06 μs

Name	BP/Share/ECHorner/3/6
Real Time	209064.04
Time Unit	ns
Iterations	3357

294.85 μs

Name	BP/Share/ECHorner/3/8
Real Time	294854.49
Time Unit	ns
Iterations	2396

375.72 μs

Name	BP/Share/ECHorner/3/10
Real Time	375719.87
Time Unit	ns
Iterations	1864

626.83 μs

Name	BP/Share/ECHorner/3/16
Real Time	626831.49
Time Unit	ns
Iterations	1119

1296.75 μs

Name	BP/Share/ECHorner/3/32
Real Time	1296747.46
Time Unit	ns
Iterations	541

Ed25519

127.73 μs

Name	BP/Share/ECHorner/4/3
Real Time	127730.89
Time Unit	ns
Iterations	5489

191.26 μs

Name	BP/Share/ECHorner/4/4
Real Time	191262.06
Time Unit	ns
Iterations	3661

319.32 μs

Name	BP/Share/ECHorner/4/6
Real Time	319318.06
Time Unit	ns
Iterations	2198

445.76 μs

Name	BP/Share/ECHorner/4/8
Real Time	445755.90
Time Unit	ns
Iterations	1563

572.74 μs

Name	BP/Share/ECHorner/4/10
Real Time	572739.00
Time Unit	ns
Iterations	1209

955.04 μs

Name	BP/Share/ECHorner/4/16
Real Time	955039.14
Time Unit	ns
Iterations	733

1977.24 μs

Name	BP/Share/ECHorner/4/32
Real Time	1977242.57
Time Unit	ns
Iterations	356

Lagrange interpolation

m\n

256 bit field

38.43 μs

Name	BP/Share/Lagrange/3
Real Time	38429.37
Time Unit	ns
Iterations	18688

54.62 μs

Name	BP/Share/Lagrange/4
Real Time	54618.28
Time Unit	ns
Iterations	12576

95.97 μs

Name	BP/Share/Lagrange/6
Real Time	95968.22
Time Unit	ns
Iterations	7232

147.54 μs

Name	BP/Share/Lagrange/8
Real Time	147543.94
Time Unit	ns
Iterations	4768

205.95 μs

Name	BP/Share/Lagrange/10
Real Time	205949.99
Time Unit	ns
Iterations	3375

433.07 μs

Name	BP/Share/Lagrange/16
Real Time	433074.47
Time Unit	ns
Iterations	1600

1363.99 μs

Name	BP/Share/Lagrange/32
Real Time	1363985.49
Time Unit	ns
Iterations	513

secp256k1

134.49 μs

Name	BP/Share/ECLagrange/3/3
Real Time	134487.49
Time Unit	ns
Iterations	5125

184.40 μs

Name	BP/Share/ECLagrange/3/4
Real Time	184404.33
Time Unit	ns
Iterations	3781

290.60 μs

Name	BP/Share/ECLagrange/3/6
Real Time	290596.57
Time Unit	ns
Iterations	2382

408.75 μs

Name	BP/Share/ECLagrange/3/8
Real Time	408745.82
Time Unit	ns
Iterations	1701

544.18 μs

Name	BP/Share/ECLagrange/3/10
Real Time	544175.89
Time Unit	ns
Iterations	1289

991.58 μs

Name	BP/Share/ECLagrange/3/16
Real Time	991579.04
Time Unit	ns
Iterations	706

2505.12 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2505120.84
Time Unit	ns
Iterations	276

Ed25519

229.61 μs

Name	BP/Share/ECLagrange/4/3
Real Time	229605.36
Time Unit	ns
Iterations	3048

309.23 μs

Name	BP/Share/ECLagrange/4/4
Real Time	309232.97
Time Unit	ns
Iterations	2275

476.64 μs

Name	BP/Share/ECLagrange/4/6
Real Time	476635.65
Time Unit	ns
Iterations	1468

653.21 μs

Name	BP/Share/ECLagrange/4/8
Real Time	653206.55
Time Unit	ns
Iterations	1066

840.09 μs

Name	BP/Share/ECLagrange/4/10
Real Time	840091.44
Time Unit	ns
Iterations	831

1454.65 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1454651.68
Time Unit	ns
Iterations	483

3402.24 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3402241.98
Time Unit	ns
Iterations	206

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.98 ms

Name	ZK/DL/Prover/3
Real Time	979727.67
Time Unit	ns
Iterations	720

0.77 ms

Name	ZK/DL/Verify/3
Real Time	768680.40
Time Unit	ns
Iterations	912

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.91 ms

Name	ZK/DL/Prover/4
Real Time	907283.68
Time Unit	ns
Iterations	766

4.45 ms

Name	ZK/DL/Verify/4
Real Time	4453997.39
Time Unit	ns
Iterations	157

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	77838.77
Time Unit	ns
Iterations	9026

0.14 ms

Name	ZK/DH/Verify/3
Real Time	137154.63
Time Unit	ns
Iterations	5082

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.72 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2716929.27
Time Unit	ns
Iterations	258

1.07 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1073942.37
Time Unit	ns
Iterations	651

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	78271.06
Time Unit	ns
Iterations	8954

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	143826.89
Time Unit	ns
Iterations	4932

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	255995.27
Time Unit	ns
Iterations	2710

0.37 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	371792.77
Time Unit	ns
Iterations	1887

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.17 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4174432.99
Time Unit	ns
Iterations	168

1.00 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	1000354.36
Time Unit	ns
Iterations	701

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.44 ms

Name	ZK/ValidPaillier/Prover
Real Time	23442000.93
Time Unit	ns
Iterations	30

22.55 ms

Name	ZK/ValidPaillier/Verify
Real Time	22548817.65
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.40 ms

Name	ZK/PaillierZero/Prover
Real Time	92403623.12
Time Unit	ns
Iterations	8

87.80 ms

Name	ZK/PaillierZero/Verify
Real Time	87804145.38
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.74 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90738489.62
Time Unit	ns
Iterations	8

183.59 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183591981.50
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

331.79 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331786991.00
Time Unit	ns
Iterations	2

17.53 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17534776.08
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.13 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48125176.00
Time Unit	ns
Iterations	15

98.94 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98939327.43
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

383.22 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	383223019.00
Time Unit	ns
Iterations	2

117.00 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	116998196.50
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

390.57 ms

Name	ZK/PDL/Prover
Real Time	390571637.50
Time Unit	ns
Iterations	2

126.95 ms

Name	ZK/PDL/Verify
Real Time	126946243.80
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

303.86 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	303857897.50
Time Unit	ns
Iterations	2

304.72 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	304721416.00
Time Unit	ns
Iterations	2

34.13 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

0.98 ms

Name	ZK/DL/Prover/3
Real Time	979727.67
Time Unit	ns
Iterations	720

0.77 ms

Name	ZK/DL/Verify/3
Real Time	768680.40
Time Unit	ns
Iterations	912

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.67 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1672896.74
Time Unit	ns
Iterations	422

2.19 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2190035.97
Time Unit	ns
Iterations	316

3.10 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

3.84 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	3837858.45
Time Unit	ns
Iterations	180

5.60 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5597553.91
Time Unit	ns
Iterations	127

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

11.63 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	11626047.83
Time Unit	ns
Iterations	60

28.03 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	28025796.68
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	907283.68
Time Unit	ns
Iterations	766

4.45 ms

Name	ZK/DL/Verify/4
Real Time	4453997.39
Time Unit	ns
Iterations	157

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.58 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1584935.97
Time Unit	ns
Iterations	442

14.53 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14531128.83
Time Unit	ns
Iterations	48

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.78 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3783080.98
Time Unit	ns
Iterations	189

48.18 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	48181362.07
Time Unit	ns
Iterations	15

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

11.59 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	11594722.51
Time Unit	ns
Iterations	61

270.39 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	270387083.00
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	750.49
Time Unit	ns
Iterations	934495

0.02 KB

Name
Real Time
Time Unit
Iterations

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9761931.13
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.25 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9249625.60
Time Unit	ns
Iterations	75

9.76 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9761931.13
Time Unit	ns
Iterations	72

9.25 ms

Name	sum
Real Time	9250376.09
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

23.44 ms

Name	ZK/ValidPaillier/Prover
Real Time	23442000.93
Time Unit	ns
Iterations	30

22.55 ms

Name	ZK/ValidPaillier/Verify
Real Time	22548817.65
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.31 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33309719.00
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	2986.22
Time Unit	ns
Iterations	235108

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierZero-Int/P3
Real Time	351699.23
Time Unit	ns
Iterations	1986

3.12 KB

Name
Real Time
Time Unit
Iterations

35.13 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35127842.45
Time Unit	ns
Iterations	20

33.66 ms

Name	sum
Real Time	33661418.23
Time Unit	ns
Iterations	-1

35.13 ms

Name	sum
Real Time	35130828.67
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

92.40 ms

Name	ZK/PaillierZero/Prover
Real Time	92403623.12
Time Unit	ns
Iterations	8

87.80 ms

Name	ZK/PaillierZero/Verify
Real Time	87804145.38
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.59 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35594346.95
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	862.58
Time Unit	ns
Iterations	812170

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	705487.05
Time Unit	ns
Iterations	993

0.00 KB

Name
Real Time
Time Unit
Iterations

73.58 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73581957.89
Time Unit	ns
Iterations	9

36.30 ms

Name	sum
Real Time	36299834.00
Time Unit	ns
Iterations	-1

73.58 ms

Name	sum
Real Time	73582820.47
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

90.74 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90738489.62
Time Unit	ns
Iterations	8

183.59 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183591981.50
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.76 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129763562.80
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	770.83
Time Unit	ns
Iterations	904046

0.01 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	4709.62
Time Unit	ns
Iterations	118970

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	6708.99
Time Unit	ns
Iterations	92040

129.77 ms

Name	sum
Real Time	129768272.42
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	7479.81
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

331.79 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331786991.00
Time Unit	ns
Iterations	2

17.53 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17534776.08
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

20.45 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20451417.21
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	918.21
Time Unit	ns
Iterations	762974

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	353815.73
Time Unit	ns
Iterations	1977

3.81 KB

Name
Real Time
Time Unit
Iterations

43.86 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43863518.00
Time Unit	ns
Iterations	16

20.81 ms

Name	sum
Real Time	20805232.93
Time Unit	ns
Iterations	-1

43.86 ms

Name	sum
Real Time	43864436.21
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

48.13 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48125176.00
Time Unit	ns
Iterations	15

98.94 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98939327.43
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

11.03 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	11032543.14
Time Unit	ns
Iterations	64

6.69 ms

Name	PVE/vencrypt/Verify/0
Real Time	6686145.86
Time Unit	ns
Iterations	102

7.38 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7380812.02
Time Unit	ns
Iterations	95

Batch(4) - RSA2048

18.85 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18851719.62
Time Unit	ns
Iterations	37

14.14 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	14142779.45
Time Unit	ns
Iterations	49

14.89 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14890618.15
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

48.64 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	48639433.00
Time Unit	ns
Iterations	14

43.27 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43267113.06
Time Unit	ns
Iterations	16

44.22 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44224951.06
Time Unit	ns
Iterations	16

Basic - P-256

23.73 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	23733205.17
Time Unit	ns
Iterations	30

12.94 ms

Name	PVE/vencrypt/Verify/1
Real Time	12944620.46
Time Unit	ns
Iterations	54

13.05 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13052267.11
Time Unit	ns
Iterations	54

Batch(4) - P-256

31.48 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31482871.55
Time Unit	ns
Iterations	22

20.39 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20392262.06
Time Unit	ns
Iterations	34

20.55 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20550938.94
Time Unit	ns
Iterations	34

Batch(16) - P-256

61.10 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	61097406.08
Time Unit	ns
Iterations	12

49.51 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	49511787.57
Time Unit	ns
Iterations	14

49.86 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	49859065.29
Time Unit	ns
Iterations	14

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

408.32 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	408315584.00
Time Unit	ns
Iterations	2

229.60 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	229601165.00
Time Unit	ns
Iterations	3

10.25 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	10252101.80
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.20 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6204621.49
Time Unit	ns
Iterations	112

12.29 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12290637.30
Time Unit	ns
Iterations	57

24.50 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24497474.04
Time Unit	ns
Iterations	28

48.89 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	48892338.57
Time Unit	ns
Iterations	14

97.72 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	97719754.14
Time Unit	ns
Iterations	7

195.41 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195414922.50
Time Unit	ns
Iterations	4

Step 2 (S → R)

24.90 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	24904613.89
Time Unit	ns
Iterations	27

49.67 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	49667142.86
Time Unit	ns
Iterations	14

99.24 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	99241900.00
Time Unit	ns
Iterations	7

198.41 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	198405341.25
Time Unit	ns
Iterations	4

396.69 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	396692325.50
Time Unit	ns
Iterations	2

792.84 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	792836354.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.45 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3446214.47
Time Unit	ns
Iterations	203

6.89 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6890923.12
Time Unit	ns
Iterations	102

13.80 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13798293.84
Time Unit	ns
Iterations	50

27.58 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27576044.88
Time Unit	ns
Iterations	25

55.14 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55141427.46
Time Unit	ns
Iterations	13

110.33 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	110331163.50
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.68 ms

Name	Full-OT-2P/1/1/2048
Real Time	24676108.39
Time Unit	ns
Iterations	28

message 1

round 2

103.26 ms

Name	Full-OT-2P/2/2/2048
Real Time	103259660.71
Time Unit	ns
Iterations	7

message 2

round 3

18.19 ms

Name	Full-OT-2P/3/1/2048
Real Time	18187268.29
Time Unit	ns
Iterations	38

message 3

Output Round

0.75 ms

Name	Full-OT-2P/4/2/2048
Real Time	746085.12
Time Unit	ns
Iterations	932

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.57 ms

Name	Full-OT-2P/1/1/4096
Real Time	24570694.55
Time Unit	ns
Iterations	29

message 1

round 2

104.33 ms

Name	Full-OT-2P/2/2/4096
Real Time	104332706.29
Time Unit	ns
Iterations	7

message 2

round 3

21.29 ms

Name	Full-OT-2P/3/1/4096
Real Time	21286748.52
Time Unit	ns
Iterations	33

message 3

Output Round

1.49 ms

Name	Full-OT-2P/4/2/4096
Real Time	1493689.05
Time Unit	ns
Iterations	468

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.70 ms

Name	Full-OT-2P/1/1/65536
Real Time	24697513.82
Time Unit	ns
Iterations	28

message 1

round 2

134.95 ms

Name	Full-OT-2P/2/2/65536
Real Time	134945897.80
Time Unit	ns
Iterations	5

message 2

round 3

114.79 ms

Name	Full-OT-2P/3/1/65536
Real Time	114792235.67
Time Unit	ns
Iterations	6

message 3

Output Round

24.01 ms

Name	Full-OT-2P/4/2/65536
Real Time	24013968.24
Time Unit	ns
Iterations	29

Agree Random - 256 bits

msg

Total Time

round 1

69.21 μs

Name	AgreeRandom-2P/1/1/256
Real Time	69212.39
Time Unit	ns
Iterations	10000

39.47 μs

Name	AgreeRandom-2P/1/2/256
Real Time	39466.95
Time Unit	ns
Iterations	10000

message 1

round 2

1.09 μs

Name	AgreeRandom-2P/2/1/256
Real Time	1088.89
Time Unit	ns
Iterations	10000

10.41 μs

Name	AgreeRandom-2P/2/2/256
Real Time	10405.49
Time Unit	ns
Iterations	10000

message 2

round 3

0.59 μs

Name	AgreeRandom-2P/3/1/256
Real Time	590.46
Time Unit	ns
Iterations	10000

0.65 μs

Name	AgreeRandom-2P/3/2/256
Real Time	650.65
Time Unit	ns
Iterations	10000

message 3

Output Round

41.87 μs

Name	AgreeRandom-2P/4/1/256
Real Time	41874.43
Time Unit	ns
Iterations	10000

47.75 μs

Name	AgreeRandom-2P/4/2/256
Real Time	47752.51
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

69.77 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	69774.75
Time Unit	ns
Iterations	10000

39.44 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	39440.28
Time Unit	ns
Iterations	10000

message 1

round 2

1.08 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	1076.98
Time Unit	ns
Iterations	10000

10.53 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	10527.87
Time Unit	ns
Iterations	10000

message 2

round 3

0.84 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	837.16
Time Unit	ns
Iterations	10000

0.75 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	753.94
Time Unit	ns
Iterations	10000

message 3

Output Round

42.84 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	42838.86
Time Unit	ns
Iterations	10000

48.30 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	48301.41
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

70.11 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	70112.67
Time Unit	ns
Iterations	10000

39.58 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	39576.67
Time Unit	ns
Iterations	10000

message 1

round 2

1.11 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	1108.72
Time Unit	ns
Iterations	10000

10.55 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	10548.90
Time Unit	ns
Iterations	10000

message 2

round 3

1.22 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1215.61
Time Unit	ns
Iterations	10000

0.93 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	932.32
Time Unit	ns
Iterations	10000

message 3

Output Round

41.75 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	41752.65
Time Unit	ns
Iterations	10000

50.58 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	50576.80
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

62.08 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	62083.98
Time Unit	ns
Iterations	10000

39.03 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	39026.81
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	861.84
Time Unit	ns
Iterations	10000

10.50 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	10503.74
Time Unit	ns
Iterations	10000

message 2

Output Round

54.67 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	54671.53
Time Unit	ns
Iterations	10000

44.86 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	44863.17
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

61.82 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	61823.79
Time Unit	ns
Iterations	10000

39.09 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	39085.78
Time Unit	ns
Iterations	10000

message 1

round 2

0.85 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	846.89
Time Unit	ns
Iterations	10000

10.50 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	10499.53
Time Unit	ns
Iterations	10000

message 2

Output Round

57.52 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	57515.77
Time Unit	ns
Iterations	10000

46.94 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	46938.76
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

62.35 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	62347.31
Time Unit	ns
Iterations	10000

39.37 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	39369.04
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	863.82
Time Unit	ns
Iterations	10000

10.38 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	10381.07
Time Unit	ns
Iterations	10000

message 2

Output Round

58.08 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	58081.54
Time Unit	ns
Iterations	10000

47.70 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	47699.50
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

62.85 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	62854.94
Time Unit	ns
Iterations	10000

39.53 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	39529.12
Time Unit	ns
Iterations	10000

message 1

round 2

0.85 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	849.66
Time Unit	ns
Iterations	10000

10.83 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	10834.77
Time Unit	ns
Iterations	10000

message 2

Output Round

56.47 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	56469.62
Time Unit	ns
Iterations	10000

44.97 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	44971.51
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

63.17 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	63173.22
Time Unit	ns
Iterations	10000

39.61 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	39610.85
Time Unit	ns
Iterations	10000

message 1

round 2

0.84 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	835.45
Time Unit	ns
Iterations	10000

10.30 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	10298.03
Time Unit	ns
Iterations	10000

message 2

Output Round

57.41 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	57411.37
Time Unit	ns
Iterations	10000

47.96 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	47959.33
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.09 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	93760.80
Time Unit	ns
Iterations	10

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	64997.40
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	975.80
Time Unit	ns
Iterations	10

1.13 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1134552.80
Time Unit	ns
Iterations	10

message 2

round 3

7.93 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	7928571.70
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2935.20
Time Unit	ns
Iterations	10

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	59328.40
Time Unit	ns
Iterations	10

6.98 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	6978993.30
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.07 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	71609.36
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	40408.01
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	1028.08
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	10702.16
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	778.09
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	698.99
Time Unit	ns
Iterations	200

message 3

Output Round

0.04 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	42635.12
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	51837.03
Time Unit	ns
Iterations	200

Sign - #Msg=1

msg

Total Time

round 1

0.09 ms

Name	Schnorr-2PC-Sign-2P/1/1/1
Real Time	93501.06
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	42413.46
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	1234.76
Time Unit	ns
Iterations	50

1.50 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1501640.46
Time Unit	ns
Iterations	50

message 2

round 3

10.67 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10665852.84
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2635.82
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	20055.98
Time Unit	ns
Iterations	50

9.28 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9277718.24
Time Unit	ns
Iterations	50

message 4

Output Round

0.21 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	213136.82
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	77318.44
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	158107.62
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	43029.26
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1097.66
Time Unit	ns
Iterations	50

1.91 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1914938.72
Time Unit	ns
Iterations	50

message 2

round 3

19.65 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	19654444.76
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2668.30
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	53537.96
Time Unit	ns
Iterations	50

18.02 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18023352.44
Time Unit	ns
Iterations	50

message 4

Output Round

0.64 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	635575.44
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	67005.44
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.40 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	400652.28
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	45732.10
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	1197.04
Time Unit	ns
Iterations	50

4.40 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4400896.08
Time Unit	ns
Iterations	50

message 2

round 3

56.64 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	56643814.76
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2423.36
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	187540.16
Time Unit	ns
Iterations	50

52.85 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	52852765.88
Time Unit	ns
Iterations	50

message 4

Output Round

2.17 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2174948.58
Time Unit	ns
Iterations	50

0.09 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	89004.54
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

218.30 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	218303592.65
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	62887.15
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2144.55
Time Unit	ns
Iterations	20

1.21 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1214247.55
Time Unit	ns
Iterations	20

message 2

round 3

17.23 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17227211.45
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2504.15
Time Unit	ns
Iterations	20

message 3

Output Round

0.12 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	116862.80
Time Unit	ns
Iterations	20

76.74 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	76742090.70
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

90.92 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	90921651.00
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	46661.85
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	2466.80
Time Unit	ns
Iterations	20

0.39 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	387985.45
Time Unit	ns
Iterations	20

message 2

round 3

10.51 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10506581.80
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1334.50
Time Unit	ns
Iterations	20

message 3

Output Round

0.10 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	100566.45
Time Unit	ns
Iterations	20

86.23 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	86227000.50
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.55 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1550469.30
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	45372.80
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	1050.55
Time Unit	ns
Iterations	20

1.54 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1535880.20
Time Unit	ns
Iterations	20

message 2

round 3

1.94 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1941424.80
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2895.35
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	4236.90
Time Unit	ns
Iterations	20

42.84 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42841331.00
Time Unit	ns
Iterations	20

message 4

Output Round

23.48 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23484579.75
Time Unit	ns
Iterations	20

0.09 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	86082.80
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

1.99 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	1992826.15
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	49068.95
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	1063.50
Time Unit	ns
Iterations	20

1.92 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1915690.50
Time Unit	ns
Iterations	20

message 2

round 3

2.89 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2886161.60
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2749.60
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	4980.25
Time Unit	ns
Iterations	20

166.60 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	166598841.65
Time Unit	ns
Iterations	20

message 4

Output Round

93.49 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	93486051.55
Time Unit	ns
Iterations	20

0.13 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	126018.55
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.34 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4338128.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	49797.85
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	1066.65
Time Unit	ns
Iterations	20

4.39 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4392545.70
Time Unit	ns
Iterations	20

message 2

round 3

6.82 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6822900.90
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3340.70
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	5576.85
Time Unit	ns
Iterations	20

661.63 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	661626328.25
Time Unit	ns
Iterations	20

message 4

Output Round

373.42 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	373423742.00
Time Unit	ns
Iterations	20

0.18 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	183180.95
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.62 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1620454.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	47440.20
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	969.95
Time Unit	ns
Iterations	20

1.48 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1476533.40
Time Unit	ns
Iterations	20

message 2

round 3

1.94 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1937057.35
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	3054.05
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/1
Real Time	5025.45
Time Unit	ns
Iterations	20

13.02 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13015474.05
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

1.96 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	1961075.50
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	53639.60
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	1076.55
Time Unit	ns
Iterations	20

1.89 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1887108.35
Time Unit	ns
Iterations	20

message 2

round 3

2.87 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2871915.85
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	2456.60
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	4529.90
Time Unit	ns
Iterations	20

47.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47039282.75
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

4.49 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4494919.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	46145.40
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/1/16
Real Time	1000.70
Time Unit	ns
Iterations	20

4.37 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4372216.70
Time Unit	ns
Iterations	20

message 2

round 3

6.83 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6834451.20
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	3646.90
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	5678.70
Time Unit	ns
Iterations	20

183.56 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	183558165.45
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

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

0.00 ms

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

Keygen

Total Time

round 1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	242719.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	224540.00
Time Unit	ns
Iterations	1

0.21 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	209523.00
Time Unit	ns
Iterations	1

0.20 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	201962.00
Time Unit	ns
Iterations	1

message 1

round 2

1.62 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1616033.00
Time Unit	ns
Iterations	1

1.62 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1622356.00
Time Unit	ns
Iterations	1

1.57 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1574366.00
Time Unit	ns
Iterations	1

1.61 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1610142.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.42 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20419688.00
Time Unit	ns
Iterations	1

20.46 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20458801.00
Time Unit	ns
Iterations	1

20.49 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20489815.00
Time Unit	ns
Iterations	1

20.50 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20504850.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.61 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4612500.90
Time Unit	ns
Iterations	10

4.55 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4552148.70
Time Unit	ns
Iterations	10

4.58 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4579799.70
Time Unit	ns
Iterations	10

4.61 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4613942.70
Time Unit	ns
Iterations	10

message 1

round 2

2.60 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2595694.40
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2589622.90
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2590773.00
Time Unit	ns
Iterations	10

2.60 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2601993.10
Time Unit	ns
Iterations	10

message 2

Output Round

69.79 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	69788747.80
Time Unit	ns
Iterations	10

69.78 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	69778300.10
Time Unit	ns
Iterations	10

69.73 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	69728505.60
Time Unit	ns
Iterations	10

69.77 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	69765160.20
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	252206.60
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	255431.20
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	251654.90
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	254702.40
Time Unit	ns
Iterations	10

message 1

round 2

2.52 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2516804.70
Time Unit	ns
Iterations	10

2.50 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2504604.90
Time Unit	ns
Iterations	10

2.56 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2561942.20
Time Unit	ns
Iterations	10

2.48 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2477383.20
Time Unit	ns
Iterations	10

message 2

round 3

44.88 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	44878801.90
Time Unit	ns
Iterations	10

45.01 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45009713.60
Time Unit	ns
Iterations	10

45.09 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45090792.70
Time Unit	ns
Iterations	10

44.92 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	44921830.20
Time Unit	ns
Iterations	10

message 3

Output Round

0.51 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	508785.60
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	131547.20
Time Unit	ns
Iterations	10

0.11 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	113268.00
Time Unit	ns
Iterations	10

0.12 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	115681.20
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	180533.40
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	170380.30
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	175095.70
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	170257.70
Time Unit	ns
Iterations	10

message 1

round 2

1.30 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1303318.40
Time Unit	ns
Iterations	10

1.31 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1307429.60
Time Unit	ns
Iterations	10

1.28 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1276538.50
Time Unit	ns
Iterations	10

1.30 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1295005.90
Time Unit	ns
Iterations	10

message 2

Output Round

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3227368.10
Time Unit	ns
Iterations	10

3.22 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3216153.70
Time Unit	ns
Iterations	10

3.22 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3220337.50
Time Unit	ns
Iterations	10

3.20 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3204865.40
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.57 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4573282.50
Time Unit	ns
Iterations	10

4.55 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4551528.30
Time Unit	ns
Iterations	10

4.57 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4570019.70
Time Unit	ns
Iterations	10

4.55 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4545442.50
Time Unit	ns
Iterations	10

message 1

round 2

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1128428.20
Time Unit	ns
Iterations	10

1.11 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1114609.40
Time Unit	ns
Iterations	10

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1129706.50
Time Unit	ns
Iterations	10

1.12 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1117022.80
Time Unit	ns
Iterations	10

message 2

Output Round

10.93 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	10929070.10
Time Unit	ns
Iterations	10

10.94 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	10941638.50
Time Unit	ns
Iterations	10

10.95 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	10947725.80
Time Unit	ns
Iterations	10

10.94 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	10941028.80
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	213189.50
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	215959.50
Time Unit	ns
Iterations	10

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	214801.40
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	215613.70
Time Unit	ns
Iterations	10

message 1

round 2

69.14 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69139778.30
Time Unit	ns
Iterations	10

46.62 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46616288.30
Time Unit	ns
Iterations	10

23.98 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	23978072.00
Time Unit	ns
Iterations	10

1.31 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1310180.40
Time Unit	ns
Iterations	10

message 2

round 3

3.18 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3183042.10
Time Unit	ns
Iterations	10

95.81 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	95805087.70
Time Unit	ns
Iterations	10

188.47 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	188474248.00
Time Unit	ns
Iterations	10

280.25 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	280253565.20
Time Unit	ns
Iterations	10

message 3

round 4

70.54 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	70541820.50
Time Unit	ns
Iterations	10

49.25 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	49253888.80
Time Unit	ns
Iterations	10

28.14 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	28143423.50
Time Unit	ns
Iterations	10

6.54 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6544152.10
Time Unit	ns
Iterations	10

message 4

round 5

10.05 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	10052143.00
Time Unit	ns
Iterations	10

12.27 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12272235.40
Time Unit	ns
Iterations	10

14.44 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	14441375.10
Time Unit	ns
Iterations	10

16.53 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	16533518.10
Time Unit	ns
Iterations	10

message 5

round 6

11.06 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11064796.40
Time Unit	ns
Iterations	10

9.81 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	9810276.70
Time Unit	ns
Iterations	10

8.94 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	8938762.00
Time Unit	ns
Iterations	10

7.91 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7906161.20
Time Unit	ns
Iterations	10

message 6

round 7

21.54 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21543905.50
Time Unit	ns
Iterations	10

21.26 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	21256097.30
Time Unit	ns
Iterations	10

21.69 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21689612.60
Time Unit	ns
Iterations	10

21.53 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	21530275.20
Time Unit	ns
Iterations	10

message 7

round 8

9.25 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9252207.40
Time Unit	ns
Iterations	10

9.28 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9279283.20
Time Unit	ns
Iterations	10

9.37 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9366862.20
Time Unit	ns
Iterations	10

9.25 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9249427.00
Time Unit	ns
Iterations	10

message 8

round 9

2.75 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2747696.40
Time Unit	ns
Iterations	10

2.73 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2734396.40
Time Unit	ns
Iterations	10

2.72 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2715449.10
Time Unit	ns
Iterations	10

2.72 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2715485.00
Time Unit	ns
Iterations	10

message 9

Output Round

2.80 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2804707.20
Time Unit	ns
Iterations	10

1.28 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1284326.00
Time Unit	ns
Iterations	10

1.29 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1288303.90
Time Unit	ns
Iterations	10

1.34 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1336288.00
Time Unit	ns
Iterations	10

Benchmark Context

Basic Operation

Big Number

Elliptic Curve

Crypto -- Symmetric

Symmetric

Crypto - Public Key Encryption

ElGamal Commitment

Paillier

TDH2

Crypto -- DRBG

String

Number

Curve

Commitment

HMAC

Pedersen

ElGamal

Secret Sharing

Shamir Secret Sharing

Horner's rule

Lagrange interpolation

Zero Knowledge

Non-interactive Zero Knowledge

Batched UC ZK-DL

Valid Paillier

Paillier Zero

Two Paillier Equal

Range Pedersen

Paillier Pedersen Equal

PVE (Publicly Verifiable Encryption)

PVE

Base OT (Oblivious Transfer)

Base OT

Full OT (Oblivious Transfer)

2PC - Agree Random / Sid Generation

EdDSA 2PC

ECDSA 2PC

EdDSA MPC

ECDSA MPC