Benchmark Context

Date: 2025-10-19T05:56:09+00:00
Commit: 231b02ec9224a5400473f344c31302caab741e7d
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3239

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.06 μs

Name	Core/BN/ModAdd/256
Real Time	64.62
Time Unit	ns
Iterations	10809470

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	78.09
Time Unit	ns
Iterations	9012514

0.10 μs

Name	Core/BN/ModAdd/1024
Real Time	104.05
Time Unit	ns
Iterations	6736116

0.17 μs

Name	Core/BN/ModAdd/2048
Real Time	167.98
Time Unit	ns
Iterations	4160989

0.27 μs

Name	Core/BN/ModAdd/4096
Real Time	267.46
Time Unit	ns
Iterations	2595236

Mod Sub

0.07 μs

Name	Core/BN/ModSubtract/256
Real Time	65.53
Time Unit	ns
Iterations	10730248

0.08 μs

Name	Core/BN/ModSubtract/512
Real Time	78.41
Time Unit	ns
Iterations	8922202

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	110.14
Time Unit	ns
Iterations	6365112

0.19 μs

Name	Core/BN/ModSubtract/2048
Real Time	185.50
Time Unit	ns
Iterations	3825506

0.32 μs

Name	Core/BN/ModSubtract/4096
Real Time	322.99
Time Unit	ns
Iterations	2168403

Mod Mul

0.14 μs

Name	Core/BN/ModMultiply/256
Real Time	144.85
Time Unit	ns
Iterations	4844262

0.28 μs

Name	Core/BN/ModMultiply/512
Real Time	279.89
Time Unit	ns
Iterations	2497774

0.80 μs

Name	Core/BN/ModMultiply/1024
Real Time	795.88
Time Unit	ns
Iterations	880562

2.73 μs

Name	Core/BN/ModMultiply/2048
Real Time	2726.87
Time Unit	ns
Iterations	256884

10.91 μs

Name	Core/BN/ModMultiply/4096
Real Time	10908.80
Time Unit	ns
Iterations	64190

Mod Exponentiate

16.33 μs

Name	Core/BN/ModExponentiate/256
Real Time	16328.67
Time Unit	ns
Iterations	42891

41.91 μs

Name	Core/BN/ModExponentiate/512
Real Time	41905.68
Time Unit	ns
Iterations	16703

310.83 μs

Name	Core/BN/ModExponentiate/1024
Real Time	310830.55
Time Unit	ns
Iterations	2249

2214.29 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2214291.16
Time Unit	ns
Iterations	316

16535.75 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16535754.24
Time Unit	ns
Iterations	42

Mod Invert

16.77 μs

Name	Core/BN/ModInvert/256
Real Time	16768.25
Time Unit	ns
Iterations	41643

35.34 μs

Name	Core/BN/ModInvert/512
Real Time	35344.29
Time Unit	ns
Iterations	19791

84.28 μs

Name	Core/BN/ModInvert/1024
Real Time	84279.14
Time Unit	ns
Iterations	8304

222.01 μs

Name	Core/BN/ModInvert/2048
Real Time	222013.42
Time Unit	ns
Iterations	3157

670.98 μs

Name	Core/BN/ModInvert/4096
Real Time	670983.00
Time Unit	ns
Iterations	1043

GCD

22.87 μs

Name	Core/BN/GCD/256
Real Time	22868.82
Time Unit	ns
Iterations	30098

50.97 μs

Name	Core/BN/GCD/512
Real Time	50965.25
Time Unit	ns
Iterations	13621

126.56 μs

Name	Core/BN/GCD/1024
Real Time	126555.87
Time Unit	ns
Iterations	5465

354.86 μs

Name	Core/BN/GCD/2048
Real Time	354862.41
Time Unit	ns
Iterations	1997

1151.56 μs

Name	Core/BN/GCD/4096
Real Time	1151556.03
Time Unit	ns
Iterations	609

GCD with RSA Modulus

23.45 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23449.07
Time Unit	ns
Iterations	30552

50.70 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	50696.33
Time Unit	ns
Iterations	13660

129.65 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	129653.03
Time Unit	ns
Iterations	5445

355.68 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	355677.80
Time Unit	ns
Iterations	1969

1146.99 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1146990.21
Time Unit	ns
Iterations	608

Batch(16) GCD with RSA Modulus

25.48 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25476.81
Time Unit	ns
Iterations	26982

55.44 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	55439.95
Time Unit	ns
Iterations	12570

140.78 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	140776.33
Time Unit	ns
Iterations	5003

393.57 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	393567.08
Time Unit	ns
Iterations	1758

1315.13 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1315128.79
Time Unit	ns
Iterations	534

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.37 μs

Name	Core/EC/Add/secp256k1
Real Time	365.51
Time Unit	ns
Iterations	1913166

0.31 μs

Name	Core/EC/Add/Ed25519
Real Time	308.94
Time Unit	ns
Iterations	2261494

Add (Constant Time)

0.34 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	344.78
Time Unit	ns
Iterations	2029234

0.31 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	309.66
Time Unit	ns
Iterations	2260279

Multiply

41.41 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41411.18
Time Unit	ns
Iterations	16927

63.96 μs

Name	Core/EC/Multiply/Ed25519
Real Time	63957.81
Time Unit	ns
Iterations	10963

Multiply (Variable Time)

32.18 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	32176.11
Time Unit	ns
Iterations	21957

64.75 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	64745.18
Time Unit	ns
Iterations	10801

Multiply Generator

20.02 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	20018.69
Time Unit	ns
Iterations	34985

14.17 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14165.39
Time Unit	ns
Iterations	49494

Multipliply Generator (Variable Time)

20.10 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	20103.21
Time Unit	ns
Iterations	34865

7.31 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7314.40
Time Unit	ns
Iterations	95634

MulAdd

61.58 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	61575.93
Time Unit	ns
Iterations	11359

78.67 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	78674.83
Time Unit	ns
Iterations	8875

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

0.31 μs

Name	Core/Hash/SHA256/1
Real Time	309.32
Time Unit	ns
Iterations	2263967

0.31 μs

Name	Core/Hash/SHA256/4
Real Time	306.01
Time Unit	ns
Iterations	2283290

0.30 μs

Name	Core/Hash/SHA256/16
Real Time	304.24
Time Unit	ns
Iterations	2300660

0.35 μs

Name	Core/Hash/SHA256/64
Real Time	353.02
Time Unit	ns
Iterations	2049805

0.46 μs

Name	Core/Hash/SHA256/256
Real Time	462.72
Time Unit	ns
Iterations	1512207

0.94 μs

Name	Core/Hash/SHA256/1024
Real Time	944.34
Time Unit	ns
Iterations	740236

2.87 μs

Name	Core/Hash/SHA256/4096
Real Time	2867.06
Time Unit	ns
Iterations	244134

HMAC-SHA256

0.31 μs

Name	Core/Hash/HMAC-SHA256/1
Real Time	311.46
Time Unit	ns
Iterations	2250835

0.31 μs

Name	Core/Hash/HMAC-SHA256/4
Real Time	308.45
Time Unit	ns
Iterations	2267534

0.31 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	306.55
Time Unit	ns
Iterations	2283553

0.34 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	342.10
Time Unit	ns
Iterations	2043652

0.46 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	462.27
Time Unit	ns
Iterations	1515090

0.94 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	944.12
Time Unit	ns
Iterations	741035

2.87 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	2870.12
Time Unit	ns
Iterations	243546

AES-GCM-128

0.67 μs

Name	Core/Hash/AES-GCM-128/1
Real Time	666.50
Time Unit	ns
Iterations	1049786

0.67 μs

Name	Core/Hash/AES-GCM-128/4
Real Time	669.76
Time Unit	ns
Iterations	1046146

0.67 μs

Name	Core/Hash/AES-GCM-128/16
Real Time	674.73
Time Unit	ns
Iterations	1041134

0.70 μs

Name	Core/Hash/AES-GCM-128/64
Real Time	695.24
Time Unit	ns
Iterations	1009761

0.79 μs

Name	Core/Hash/AES-GCM-128/256
Real Time	786.41
Time Unit	ns
Iterations	897401

0.95 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	945.30
Time Unit	ns
Iterations	739672

1.65 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1651.63
Time Unit	ns
Iterations	423256

AES-GCM-256

0.67 μs

Name	Core/Hash/AES-GCM-256/1
Real Time	671.73
Time Unit	ns
Iterations	1044920

0.68 μs

Name	Core/Hash/AES-GCM-256/4
Real Time	678.02
Time Unit	ns
Iterations	1034864

0.68 μs

Name	Core/Hash/AES-GCM-256/16
Real Time	684.76
Time Unit	ns
Iterations	1023981

0.70 μs

Name	Core/Hash/AES-GCM-256/64
Real Time	703.81
Time Unit	ns
Iterations	999361

0.79 μs

Name	Core/Hash/AES-GCM-256/256
Real Time	794.96
Time Unit	ns
Iterations	875504

0.95 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	945.89
Time Unit	ns
Iterations	737946

1.65 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1654.24
Time Unit	ns
Iterations	423623

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.43 μs

Name	BP/ElGamal/Commit/3
Real Time	82431.09
Time Unit	ns
Iterations	8484

97.40 μs

Name	BP/ElGamal/Commit/4
Real Time	97403.69
Time Unit	ns
Iterations	7152

Rerand

62.29 μs

Name	BP/ElGamal/Rerand/3
Real Time	62286.37
Time Unit	ns
Iterations	11138

80.56 μs

Name	BP/ElGamal/Rerand/4
Real Time	80564.77
Time Unit	ns
Iterations	8728

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.37
Time Unit	ns
Iterations	925011

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	656.52
Time Unit	ns
Iterations	1068224

Add Scalar

20.37 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20371.05
Time Unit	ns
Iterations	34306

7.69 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7691.85
Time Unit	ns
Iterations	90830

Mul Scalar

82.83 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82833.65
Time Unit	ns
Iterations	8454

127.89 μs

Name	BP/ElGamal/MulScalar/4
Real Time	127894.96
Time Unit	ns
Iterations	5479

Paillier

Operation \ Bit length

2048 bits

Generate Key

52.57 ms

Name	BP/Paillier/Gen
Real Time	52568711.06
Time Unit	ns
Iterations	16

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4515424.90
Time Unit	ns
Iterations	155

Encrypt

8.57 ms

Name	BP/Paillier/Pub-Enc
Real Time	8568251.02
Time Unit	ns
Iterations	82

Decrypt

4.51 ms

Name	BP/Paillier/Dec
Real Time	4510876.63
Time Unit	ns
Iterations	155

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	10996.20
Time Unit	ns
Iterations	63711

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	12805.92
Time Unit	ns
Iterations	54607

Mul-Scalar

8.32 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8322065.37
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.18 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189179.34
Time Unit	ns
Iterations	3703

189.47 μs

Name	tdh2-encrypt-1P/30/256
Real Time	189474.31
Time Unit	ns
Iterations	3701

268.71 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	268710.01
Time Unit	ns
Iterations	2604

268.84 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	268844.64
Time Unit	ns
Iterations	2604

Verify

201.53 μs

Name	tdh2-verify-1P/4/256
Real Time	201528.57
Time Unit	ns
Iterations	3478

200.66 μs

Name	tdh2-verify-1P/30/256
Real Time	200658.18
Time Unit	ns
Iterations	3481

322.18 μs

Name	tdh2-verify-1P/4/65536
Real Time	322180.27
Time Unit	ns
Iterations	2656

263.11 μs

Name	tdh2-verify-1P/30/65536
Real Time	263106.49
Time Unit	ns
Iterations	2886

Local Decrypt

344.80 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	344802.63
Time Unit	ns
Iterations	2162

323.36 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	323361.55
Time Unit	ns
Iterations	1819

364.68 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	364675.57
Time Unit	ns
Iterations	1920

385.43 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	385429.53
Time Unit	ns
Iterations	1575

Combine

940.72 μs

Name	tdh2-combine-1P/4/256
Real Time	940719.05
Time Unit	ns
Iterations	745

5380.80 μs

Name	tdh2-combine-1P/30/256
Real Time	5380800.36
Time Unit	ns
Iterations	130

981.37 μs

Name	tdh2-combine-1P/4/65536
Real Time	981372.40
Time Unit	ns
Iterations	658

5498.63 μs

Name	tdh2-combine-1P/30/65536
Real Time	5498630.92
Time Unit	ns
Iterations	128

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.43 μs

Name	Crypto/DRBG/String/1024
Real Time	1427.98
Time Unit	ns
Iterations	491270

1.49 μs

Name	Crypto/DRBG/String/2048
Real Time	1485.97
Time Unit	ns
Iterations	471575

1.59 μs

Name	Crypto/DRBG/String/4096
Real Time	1586.33
Time Unit	ns
Iterations	440811

1.80 μs

Name	Crypto/DRBG/String/8192
Real Time	1804.84
Time Unit	ns
Iterations	388660

2.36 μs

Name	Crypto/DRBG/String/16384
Real Time	2355.47
Time Unit	ns
Iterations	298818

3.27 μs

Name	Crypto/DRBG/String/32768
Real Time	3269.33
Time Unit	ns
Iterations	214213

5.09 μs

Name	Crypto/DRBG/String/65536
Real Time	5086.37
Time Unit	ns
Iterations	137894

8.69 μs

Name	Crypto/DRBG/String/131072
Real Time	8694.78
Time Unit	ns
Iterations	80386

15.93 μs

Name	Crypto/DRBG/String/262144
Real Time	15931.79
Time Unit	ns
Iterations	44002

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.71 μs

Name	Crypto/DRBG/Number/256
Real Time	1706.70
Time Unit	ns
Iterations	409759

1.81 μs

Name	Crypto/DRBG/Number/512
Real Time	1811.28
Time Unit	ns
Iterations	387502

2.01 μs

Name	Crypto/DRBG/Number/1024
Real Time	2008.83
Time Unit	ns
Iterations	348536

2.37 μs

Name	Crypto/DRBG/Number/2048
Real Time	2368.70
Time Unit	ns
Iterations	294493

3.15 μs

Name	Crypto/DRBG/Number/4096
Real Time	3150.29
Time Unit	ns
Iterations	221943

Curve

secp256k1

Ed25519

DRBG-Curve

22.11 μs

Name	Crypto/DRBG/Curve/3
Real Time	22106.58
Time Unit	ns
Iterations	31691

16.35 μs

Name	Crypto/DRBG/Curve/4
Real Time	16354.21
Time Unit	ns
Iterations	42875

HMAC

#big number

Commit

2.37 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2367.22
Time Unit	ns
Iterations	295675

2.62 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2618.89
Time Unit	ns
Iterations	267087

2.93 μs

Name	Crypto/Commitment/ComBn/6
Real Time	2927.05
Time Unit	ns
Iterations	239473

3.15 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3147.61
Time Unit	ns
Iterations	222614

3.40 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3395.61
Time Unit	ns
Iterations	206144

3.65 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3649.16
Time Unit	ns
Iterations	191927

3.90 μs

Name	Crypto/Commitment/ComBn/14
Real Time	3902.69
Time Unit	ns
Iterations	178829

4.15 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4154.18
Time Unit	ns
Iterations	168668

4.39 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4392.70
Time Unit	ns
Iterations	159432

4.65 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4645.79
Time Unit	ns
Iterations	150807

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

82.43 μs

Name	BP/ElGamal/Commit/3
Real Time	82431.09
Time Unit	ns
Iterations	8484

97.40 μs

Name	BP/ElGamal/Commit/4
Real Time	97403.69
Time Unit	ns
Iterations	7152

Rerand

62.29 μs

Name	BP/ElGamal/Rerand/3
Real Time	62286.37
Time Unit	ns
Iterations	11138

80.56 μs

Name	BP/ElGamal/Rerand/4
Real Time	80564.77
Time Unit	ns
Iterations	8728

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.37
Time Unit	ns
Iterations	925011

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	656.52
Time Unit	ns
Iterations	1068224

Add Scalar

20.37 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20371.05
Time Unit	ns
Iterations	34306

7.69 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7691.85
Time Unit	ns
Iterations	90830

Mul Scalar

82.83 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82833.65
Time Unit	ns
Iterations	8454

127.89 μs

Name	BP/ElGamal/MulScalar/4
Real Time	127894.96
Time Unit	ns
Iterations	5479

Shamir Secret Sharing

m\n

14.04 μs

Name	BP/Share/Shamir/10/2
Real Time	14039.64
Time Unit	ns
Iterations	50166

16.13 μs

Name	BP/Share/Shamir/10/3
Real Time	16125.16
Time Unit	ns
Iterations	43188

18.31 μs

Name	BP/Share/Shamir/10/4
Real Time	18307.91
Time Unit	ns
Iterations	38466

20.59 μs

Name	BP/Share/Shamir/10/5
Real Time	20593.17
Time Unit	ns
Iterations	34089

22.59 μs

Name	BP/Share/Shamir/10/6
Real Time	22590.98
Time Unit	ns
Iterations	30915

24.81 μs

Name	BP/Share/Shamir/10/7
Real Time	24812.49
Time Unit	ns
Iterations	28154

28.89 μs

Name	BP/Share/Shamir/20/2
Real Time	28885.68
Time Unit	ns
Iterations	24194

33.19 μs

Name	BP/Share/Shamir/20/3
Real Time	33189.04
Time Unit	ns
Iterations	21081

37.54 μs

Name	BP/Share/Shamir/20/4
Real Time	37536.62
Time Unit	ns
Iterations	18586

42.07 μs

Name	BP/Share/Shamir/20/5
Real Time	42068.50
Time Unit	ns
Iterations	16697

46.33 μs

Name	BP/Share/Shamir/20/6
Real Time	46333.26
Time Unit	ns
Iterations	15138

50.73 μs

Name	BP/Share/Shamir/20/7
Real Time	50733.71
Time Unit	ns
Iterations	13709

43.66 μs

Name	BP/Share/Shamir/30/2
Real Time	43661.12
Time Unit	ns
Iterations	16041

50.14 μs

Name	BP/Share/Shamir/30/3
Real Time	50143.47
Time Unit	ns
Iterations	10000

56.88 μs

Name	BP/Share/Shamir/30/4
Real Time	56878.65
Time Unit	ns
Iterations	12262

63.44 μs

Name	BP/Share/Shamir/30/5
Real Time	63444.66
Time Unit	ns
Iterations	11016

70.02 μs

Name	BP/Share/Shamir/30/6
Real Time	70017.75
Time Unit	ns
Iterations	9958

76.59 μs

Name	BP/Share/Shamir/30/7
Real Time	76592.57
Time Unit	ns
Iterations	9154

Horner's rule

m\n

256 bit field

0.51 μs

Name	BP/Share/Horner/3
Real Time	506.41
Time Unit	ns
Iterations	1388186

0.73 μs

Name	BP/Share/Horner/4
Real Time	730.35
Time Unit	ns
Iterations	957733

1.17 μs

Name	BP/Share/Horner/6
Real Time	1173.87
Time Unit	ns
Iterations	595923

1.62 μs

Name	BP/Share/Horner/8
Real Time	1618.64
Time Unit	ns
Iterations	433988

2.06 μs

Name	BP/Share/Horner/10
Real Time	2058.53
Time Unit	ns
Iterations	340686

3.39 μs

Name	BP/Share/Horner/16
Real Time	3387.85
Time Unit	ns
Iterations	206469

6.94 μs

Name	BP/Share/Horner/32
Real Time	6939.35
Time Unit	ns
Iterations	99973

secp256k1

83.59 μs

Name	BP/Share/ECHorner/3/3
Real Time	83587.51
Time Unit	ns
Iterations	8376

125.20 μs

Name	BP/Share/ECHorner/3/4
Real Time	125201.76
Time Unit	ns
Iterations	5582

209.07 μs

Name	BP/Share/ECHorner/3/6
Real Time	209070.07
Time Unit	ns
Iterations	3353

292.10 μs

Name	BP/Share/ECHorner/3/8
Real Time	292097.86
Time Unit	ns
Iterations	2394

385.68 μs

Name	BP/Share/ECHorner/3/10
Real Time	385680.29
Time Unit	ns
Iterations	1859

626.38 μs

Name	BP/Share/ECHorner/3/16
Real Time	626376.07
Time Unit	ns
Iterations	1119

1296.41 μs

Name	BP/Share/ECHorner/3/32
Real Time	1296406.48
Time Unit	ns
Iterations	540

Ed25519

128.53 μs

Name	BP/Share/ECHorner/4/3
Real Time	128531.37
Time Unit	ns
Iterations	5458

192.55 μs

Name	BP/Share/ECHorner/4/4
Real Time	192553.84
Time Unit	ns
Iterations	3630

321.01 μs

Name	BP/Share/ECHorner/4/6
Real Time	321013.36
Time Unit	ns
Iterations	2179

448.79 μs

Name	BP/Share/ECHorner/4/8
Real Time	448794.92
Time Unit	ns
Iterations	1557

583.57 μs

Name	BP/Share/ECHorner/4/10
Real Time	583573.86
Time Unit	ns
Iterations	1210

967.80 μs

Name	BP/Share/ECHorner/4/16
Real Time	967802.93
Time Unit	ns
Iterations	696

1998.77 μs

Name	BP/Share/ECHorner/4/32
Real Time	1998765.46
Time Unit	ns
Iterations	351

Lagrange interpolation

m\n

256 bit field

38.16 μs

Name	BP/Share/Lagrange/3
Real Time	38155.60
Time Unit	ns
Iterations	18568

55.52 μs

Name	BP/Share/Lagrange/4
Real Time	55518.93
Time Unit	ns
Iterations	12702

96.10 μs

Name	BP/Share/Lagrange/6
Real Time	96102.13
Time Unit	ns
Iterations	7222

149.43 μs

Name	BP/Share/Lagrange/8
Real Time	149434.27
Time Unit	ns
Iterations	4737

206.69 μs

Name	BP/Share/Lagrange/10
Real Time	206690.93
Time Unit	ns
Iterations	3366

431.94 μs

Name	BP/Share/Lagrange/16
Real Time	431938.88
Time Unit	ns
Iterations	1604

1363.90 μs

Name	BP/Share/Lagrange/32
Real Time	1363895.08
Time Unit	ns
Iterations	513

secp256k1

135.88 μs

Name	BP/Share/ECLagrange/3/3
Real Time	135878.04
Time Unit	ns
Iterations	5118

186.06 μs

Name	BP/Share/ECLagrange/3/4
Real Time	186059.16
Time Unit	ns
Iterations	3735

293.67 μs

Name	BP/Share/ECLagrange/3/6
Real Time	293671.77
Time Unit	ns
Iterations	2383

413.91 μs

Name	BP/Share/ECLagrange/3/8
Real Time	413905.41
Time Unit	ns
Iterations	1692

542.23 μs

Name	BP/Share/ECLagrange/3/10
Real Time	542228.14
Time Unit	ns
Iterations	1282

990.01 μs

Name	BP/Share/ECLagrange/3/16
Real Time	990014.97
Time Unit	ns
Iterations	708

2520.63 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2520632.83
Time Unit	ns
Iterations	278

Ed25519

229.84 μs

Name	BP/Share/ECLagrange/4/3
Real Time	229836.40
Time Unit	ns
Iterations	3040

312.42 μs

Name	BP/Share/ECLagrange/4/4
Real Time	312421.66
Time Unit	ns
Iterations	2246

481.97 μs

Name	BP/Share/ECLagrange/4/6
Real Time	481971.23
Time Unit	ns
Iterations	1456

657.76 μs

Name	BP/Share/ECLagrange/4/8
Real Time	657761.14
Time Unit	ns
Iterations	1063

845.95 μs

Name	BP/Share/ECLagrange/4/10
Real Time	845952.61
Time Unit	ns
Iterations	824

1462.96 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1462964.40
Time Unit	ns
Iterations	481

3421.98 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3421975.71
Time Unit	ns
Iterations	205

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.97 ms

Name	ZK/DL/Prover/3
Real Time	973449.04
Time Unit	ns
Iterations	714

0.76 ms

Name	ZK/DL/Verify/3
Real Time	757408.93
Time Unit	ns
Iterations	925

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.90 ms

Name	ZK/DL/Prover/4
Real Time	895392.93
Time Unit	ns
Iterations	782

4.48 ms

Name	ZK/DL/Verify/4
Real Time	4482757.53
Time Unit	ns
Iterations	156

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	77234.29
Time Unit	ns
Iterations	9085

0.14 ms

Name	ZK/DH/Verify/3
Real Time	138042.43
Time Unit	ns
Iterations	5076

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com (secp256k1)

2.72 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2718129.93
Time Unit	ns
Iterations	257

1.07 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1068765.01
Time Unit	ns
Iterations	656

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	77754.74
Time Unit	ns
Iterations	8883

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	144087.22
Time Unit	ns
Iterations	4911

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	255133.86
Time Unit	ns
Iterations	2741

0.37 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	371482.63
Time Unit	ns
Iterations	1903

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.29 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4288078.93
Time Unit	ns
Iterations	167

0.99 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	993152.72
Time Unit	ns
Iterations	704

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.43 ms

Name	ZK/ValidPaillier/Prover
Real Time	23431626.53
Time Unit	ns
Iterations	30

22.58 ms

Name	ZK/ValidPaillier/Verify
Real Time	22581501.06
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

96.80 ms

Name	ZK/PaillierZero/Prover
Real Time	96803610.86
Time Unit	ns
Iterations	7

91.79 ms

Name	ZK/PaillierZero/Verify
Real Time	91785496.00
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.61 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90608655.50
Time Unit	ns
Iterations	8

183.48 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183483272.00
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

331.75 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331748984.50
Time Unit	ns
Iterations	2

17.48 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17483112.68
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.08 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48081743.67
Time Unit	ns
Iterations	15

98.70 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98702291.29
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.85 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382845106.00
Time Unit	ns
Iterations	2

116.61 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	116605056.83
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

387.22 ms

Name	ZK/PDL/Prover
Real Time	387219216.50
Time Unit	ns
Iterations	2

127.00 ms

Name	ZK/PDL/Verify
Real Time	127000041.40
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.43 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297426463.50
Time Unit	ns
Iterations	2

297.82 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	297821834.50
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

0.97 ms

Name	ZK/DL/Prover/3
Real Time	973449.04
Time Unit	ns
Iterations	714

0.76 ms

Name	ZK/DL/Verify/3
Real Time	757408.93
Time Unit	ns
Iterations	925

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.67 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1672924.79
Time Unit	ns
Iterations	420

2.20 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2201062.03
Time Unit	ns
Iterations	313

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

3.90 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	3900900.90
Time Unit	ns
Iterations	182

5.66 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5664606.14
Time Unit	ns
Iterations	126

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

12.06 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	12055308.12
Time Unit	ns
Iterations	57

27.86 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	27858243.88
Time Unit	ns
Iterations	25

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.90 ms

Name	ZK/DL/Prover/4
Real Time	895392.93
Time Unit	ns
Iterations	782

4.48 ms

Name	ZK/DL/Verify/4
Real Time	4482757.53
Time Unit	ns
Iterations	156

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.57 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1573033.45
Time Unit	ns
Iterations	446

14.73 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14732742.17
Time Unit	ns
Iterations	47

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.82 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3824554.07
Time Unit	ns
Iterations	184

48.73 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	48729565.86
Time Unit	ns
Iterations	14

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

11.75 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	11749180.50
Time Unit	ns
Iterations	58

273.16 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	273156205.00
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	528.31
Time Unit	ns
Iterations	1336417

0.02 KB

Name
Real Time
Time Unit
Iterations

9.75 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9748745.24
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.23 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9233289.68
Time Unit	ns
Iterations	75

9.75 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9748745.24
Time Unit	ns
Iterations	72

9.23 ms

Name	sum
Real Time	9233817.99
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

23.43 ms

Name	ZK/ValidPaillier/Prover
Real Time	23431626.53
Time Unit	ns
Iterations	30

22.58 ms

Name	ZK/ValidPaillier/Verify
Real Time	22581501.06
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.33 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33333898.10
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	2115.34
Time Unit	ns
Iterations	330710

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierZero-Int/P3
Real Time	351057.17
Time Unit	ns
Iterations	1994

3.12 KB

Name
Real Time
Time Unit
Iterations

35.15 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35150978.75
Time Unit	ns
Iterations	20

33.68 ms

Name	sum
Real Time	33684955.27
Time Unit	ns
Iterations	-1

35.15 ms

Name	sum
Real Time	35153094.09
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

96.80 ms

Name	ZK/PaillierZero/Prover
Real Time	96803610.86
Time Unit	ns
Iterations	7

91.79 ms

Name	ZK/PaillierZero/Verify
Real Time	91785496.00
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.59 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35594942.50
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	603.01
Time Unit	ns
Iterations	1170242

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	705890.62
Time Unit	ns
Iterations	994

0.00 KB

Name
Real Time
Time Unit
Iterations

73.47 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73471306.33
Time Unit	ns
Iterations	9

36.30 ms

Name	sum
Real Time	36300833.12
Time Unit	ns
Iterations	-1

73.47 ms

Name	sum
Real Time	73471909.35
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

90.61 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90608655.50
Time Unit	ns
Iterations	8

183.48 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	183483272.00
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.49 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129491461.40
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	536.05
Time Unit	ns
Iterations	1299615

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	6654.29
Time Unit	ns
Iterations	129103

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	6040.95
Time Unit	ns
Iterations	133018

129.50 ms

Name	sum
Real Time	129498115.69
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	6577.00
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

331.75 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331748984.50
Time Unit	ns
Iterations	2

17.48 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17483112.68
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	20474845.09
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	663.88
Time Unit	ns
Iterations	1057643

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	353807.30
Time Unit	ns
Iterations	1981

3.81 KB

Name
Real Time
Time Unit
Iterations

45.36 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	45360319.53
Time Unit	ns
Iterations	15

20.83 ms

Name	sum
Real Time	20828652.39
Time Unit	ns
Iterations	-1

45.36 ms

Name	sum
Real Time	45360983.41
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

48.08 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48081743.67
Time Unit	ns
Iterations	15

98.70 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	98702291.29
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.14 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10140009.12
Time Unit	ns
Iterations	69

6.33 ms

Name	PVE/vencrypt/Verify/0
Real Time	6331006.23
Time Unit	ns
Iterations	111

7.02 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7019339.88
Time Unit	ns
Iterations	99

Batch(4) - RSA2048

17.96 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	17958062.13
Time Unit	ns
Iterations	39

13.80 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	13804290.51
Time Unit	ns
Iterations	51

14.56 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14557891.50
Time Unit	ns
Iterations	48

Batch(16) - RSA2048

47.50 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	47502780.27
Time Unit	ns
Iterations	15

42.96 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	42956253.44
Time Unit	ns
Iterations	16

43.86 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	43856187.94
Time Unit	ns
Iterations	16

Basic - P-256

20.46 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	20463574.18
Time Unit	ns
Iterations	34

11.40 ms

Name	PVE/vencrypt/Verify/1
Real Time	11401642.10
Time Unit	ns
Iterations	61

11.47 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	11467986.25
Time Unit	ns
Iterations	61

Batch(4) - P-256

28.22 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	28220406.48
Time Unit	ns
Iterations	25

18.86 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	18861622.24
Time Unit	ns
Iterations	37

19.00 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	19003181.54
Time Unit	ns
Iterations	37

Batch(16) - P-256

57.71 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	57712420.08
Time Unit	ns
Iterations	12

48.34 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	48341655.80
Time Unit	ns
Iterations	15

48.25 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	48252217.07
Time Unit	ns
Iterations	14

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

362.98 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	362975436.50
Time Unit	ns
Iterations	2

206.81 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	206814084.67
Time Unit	ns
Iterations	3

9.97 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	9969319.60
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.19 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6185872.77
Time Unit	ns
Iterations	111

12.28 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12284994.02
Time Unit	ns
Iterations	57

24.56 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24559525.97
Time Unit	ns
Iterations	29

48.83 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	48833002.79
Time Unit	ns
Iterations	14

97.68 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	97677126.29
Time Unit	ns
Iterations	7

195.34 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195344073.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

24.77 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	24766767.04
Time Unit	ns
Iterations	28

49.58 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	49582436.86
Time Unit	ns
Iterations	14

98.86 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	98859700.86
Time Unit	ns
Iterations	7

197.65 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	197651055.50
Time Unit	ns
Iterations	4

395.12 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	395118053.50
Time Unit	ns
Iterations	2

791.99 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	791986606.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.45 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3454000.53
Time Unit	ns
Iterations	203

6.90 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6899709.31
Time Unit	ns
Iterations	101

13.80 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13804481.22
Time Unit	ns
Iterations	50

27.61 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27614340.68
Time Unit	ns
Iterations	25

55.30 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55304656.23
Time Unit	ns
Iterations	13

110.55 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	110549265.33
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.39 ms

Name	Full-OT-2P/1/1/2048
Real Time	24389695.17
Time Unit	ns
Iterations	29

message 1

round 2

102.88 ms

Name	Full-OT-2P/2/2/2048
Real Time	102875733.00
Time Unit	ns
Iterations	7

message 2

round 3

18.24 ms

Name	Full-OT-2P/3/1/2048
Real Time	18243534.45
Time Unit	ns
Iterations	38

message 3

Output Round

0.78 ms

Name	Full-OT-2P/4/2/2048
Real Time	783326.69
Time Unit	ns
Iterations	890

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.37 ms

Name	Full-OT-2P/1/1/4096
Real Time	24372296.24
Time Unit	ns
Iterations	29

message 1

round 2

103.95 ms

Name	Full-OT-2P/2/2/4096
Real Time	103947390.43
Time Unit	ns
Iterations	7

message 2

round 3

21.36 ms

Name	Full-OT-2P/3/1/4096
Real Time	21358807.09
Time Unit	ns
Iterations	33

message 3

Output Round

1.57 ms

Name	Full-OT-2P/4/2/4096
Real Time	1566074.15
Time Unit	ns
Iterations	449

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.43 ms

Name	Full-OT-2P/1/1/65536
Real Time	24432457.48
Time Unit	ns
Iterations	29

message 1

round 2

134.59 ms

Name	Full-OT-2P/2/2/65536
Real Time	134589759.20
Time Unit	ns
Iterations	5

message 2

round 3

115.09 ms

Name	Full-OT-2P/3/1/65536
Real Time	115089353.50
Time Unit	ns
Iterations	6

message 3

Output Round

25.06 ms

Name	Full-OT-2P/4/2/65536
Real Time	25064222.43
Time Unit	ns
Iterations	28

Agree Random - 256 bits

msg

Total Time

round 1

70.46 μs

Name	AgreeRandom-2P/1/1/256
Real Time	70464.99
Time Unit	ns
Iterations	10000

39.94 μs

Name	AgreeRandom-2P/1/2/256
Real Time	39944.62
Time Unit	ns
Iterations	10000

message 1

round 2

0.77 μs

Name	AgreeRandom-2P/2/1/256
Real Time	769.66
Time Unit	ns
Iterations	10000

9.75 μs

Name	AgreeRandom-2P/2/2/256
Real Time	9749.09
Time Unit	ns
Iterations	10000

message 2

round 3

0.59 μs

Name	AgreeRandom-2P/3/1/256
Real Time	585.53
Time Unit	ns
Iterations	10000

0.49 μs

Name	AgreeRandom-2P/3/2/256
Real Time	485.10
Time Unit	ns
Iterations	10000

message 3

Output Round

43.23 μs

Name	AgreeRandom-2P/4/1/256
Real Time	43230.64
Time Unit	ns
Iterations	10000

49.84 μs

Name	AgreeRandom-2P/4/2/256
Real Time	49837.22
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

70.79 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	70788.45
Time Unit	ns
Iterations	10000

40.36 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	40361.56
Time Unit	ns
Iterations	10000

message 1

round 2

0.76 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	764.69
Time Unit	ns
Iterations	10000

9.84 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	9837.18
Time Unit	ns
Iterations	10000

message 2

round 3

0.80 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	797.89
Time Unit	ns
Iterations	10000

0.58 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	577.45
Time Unit	ns
Iterations	10000

message 3

Output Round

43.16 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	43156.21
Time Unit	ns
Iterations	10000

51.08 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	51081.48
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

71.33 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	71325.13
Time Unit	ns
Iterations	10000

39.88 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	39876.06
Time Unit	ns
Iterations	10000

message 1

round 2

0.78 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	781.72
Time Unit	ns
Iterations	10000

9.96 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	9960.82
Time Unit	ns
Iterations	10000

message 2

round 3

1.24 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1236.37
Time Unit	ns
Iterations	10000

0.74 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	744.92
Time Unit	ns
Iterations	10000

message 3

Output Round

44.50 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	44496.50
Time Unit	ns
Iterations	10000

53.54 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	53540.36
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

63.37 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	63371.84
Time Unit	ns
Iterations	10000

39.50 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	39504.35
Time Unit	ns
Iterations	10000

message 1

round 2

0.59 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	591.39
Time Unit	ns
Iterations	10000

9.86 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	9857.92
Time Unit	ns
Iterations	10000

message 2

Output Round

55.14 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	55141.38
Time Unit	ns
Iterations	10000

45.63 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	45632.02
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

63.73 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	63734.90
Time Unit	ns
Iterations	10000

40.22 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	40216.40
Time Unit	ns
Iterations	10000

message 1

round 2

0.59 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	591.21
Time Unit	ns
Iterations	10000

9.85 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	9845.18
Time Unit	ns
Iterations	10000

message 2

Output Round

58.07 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	58069.06
Time Unit	ns
Iterations	10000

50.60 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	50600.04
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

63.56 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	63561.50
Time Unit	ns
Iterations	10000

39.90 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	39900.74
Time Unit	ns
Iterations	10000

message 1

round 2

0.60 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	600.26
Time Unit	ns
Iterations	10000

9.88 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	9884.16
Time Unit	ns
Iterations	10000

message 2

Output Round

58.40 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	58395.01
Time Unit	ns
Iterations	10000

50.94 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	50944.24
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

64.61 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	64606.72
Time Unit	ns
Iterations	10000

39.74 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	39739.87
Time Unit	ns
Iterations	10000

message 1

round 2

0.60 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	602.82
Time Unit	ns
Iterations	10000

10.19 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	10186.41
Time Unit	ns
Iterations	10000

message 2

Output Round

56.97 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	56973.05
Time Unit	ns
Iterations	10000

47.05 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	47052.98
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

65.02 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	65020.69
Time Unit	ns
Iterations	10000

40.16 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	40161.52
Time Unit	ns
Iterations	10000

message 1

round 2

0.60 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	600.55
Time Unit	ns
Iterations	10000

9.62 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	9621.60
Time Unit	ns
Iterations	10000

message 2

Output Round

57.20 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	57201.70
Time Unit	ns
Iterations	10000

50.07 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	50071.76
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	103234.30
Time Unit	ns
Iterations	10

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	60004.70
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	715.30
Time Unit	ns
Iterations	10

1.08 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1077975.80
Time Unit	ns
Iterations	10

message 2

round 3

8.05 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	8050401.40
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	1617.00
Time Unit	ns
Iterations	10

message 3

Output Round

0.05 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	54147.90
Time Unit	ns
Iterations	10

6.99 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	6993653.00
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.07 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	73919.60
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	41746.00
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	757.77
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	9066.71
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	667.09
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	514.75
Time Unit	ns
Iterations	200

message 3

Output Round

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	46425.37
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	54883.02
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	96571.06
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	43178.82
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	914.52
Time Unit	ns
Iterations	50

1.50 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1503606.60
Time Unit	ns
Iterations	50

message 2

round 3

10.84 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10842209.46
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2109.32
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	18589.22
Time Unit	ns
Iterations	50

9.40 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9396647.18
Time Unit	ns
Iterations	50

message 4

Output Round

0.23 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	234487.68
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	68501.00
Time Unit	ns
Iterations	50

Sign - #Msg=4

msg

Total Time

round 1

0.15 ms

Name	Schnorr-2PC-Sign-2P/1/1/4
Real Time	149807.96
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	44092.98
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	1391.48
Time Unit	ns
Iterations	50

1.95 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1946541.02
Time Unit	ns
Iterations	50

message 2

round 3

20.03 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	20030832.94
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2490.14
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	52570.06
Time Unit	ns
Iterations	50

18.25 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18254063.42
Time Unit	ns
Iterations	50

message 4

Output Round

0.63 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	632034.48
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	68435.16
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.39 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	391028.18
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	40476.48
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	893.62
Time Unit	ns
Iterations	50

4.34 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4335448.10
Time Unit	ns
Iterations	50

message 2

round 3

57.25 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	57250278.54
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2357.72
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	187803.32
Time Unit	ns
Iterations	50

53.55 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	53549189.46
Time Unit	ns
Iterations	50

message 4

Output Round

2.13 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2133596.84
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	83976.68
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

208.05 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	208049859.70
Time Unit	ns
Iterations	20

0.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	68847.50
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2363.00
Time Unit	ns
Iterations	20

1.10 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1097197.70
Time Unit	ns
Iterations	20

message 2

round 3

17.19 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17194696.70
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2285.70
Time Unit	ns
Iterations	20

message 3

Output Round

0.14 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	136975.20
Time Unit	ns
Iterations	20

76.41 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	76408683.95
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

82.26 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	82258405.30
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	42620.40
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1639.60
Time Unit	ns
Iterations	20

0.32 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	320789.20
Time Unit	ns
Iterations	20

message 2

round 3

10.49 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10494736.85
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1223.25
Time Unit	ns
Iterations	20

message 3

Output Round

0.10 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	97319.15
Time Unit	ns
Iterations	20

85.43 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85428051.30
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	1550544.30
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	44643.85
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	684.25
Time Unit	ns
Iterations	20

1.47 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1470400.30
Time Unit	ns
Iterations	20

message 2

round 3

1.94 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1939475.85
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2052.30
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	3573.75
Time Unit	ns
Iterations	20

42.87 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42871172.45
Time Unit	ns
Iterations	20

message 4

Output Round

23.49 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23494129.75
Time Unit	ns
Iterations	20

0.08 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	78616.90
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.00 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	1998904.65
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	52040.90
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	781.90
Time Unit	ns
Iterations	20

1.93 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1925672.70
Time Unit	ns
Iterations	20

message 2

round 3

2.87 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2871034.50
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	3228.35
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	4335.15
Time Unit	ns
Iterations	20

166.87 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	166866443.45
Time Unit	ns
Iterations	20

message 4

Output Round

93.87 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	93868494.10
Time Unit	ns
Iterations	20

0.11 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	108264.45
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.42 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4424532.65
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	46754.35
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	738.90
Time Unit	ns
Iterations	20

4.41 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4406308.85
Time Unit	ns
Iterations	20

message 2

round 3

6.90 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6902377.40
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3712.35
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	5422.65
Time Unit	ns
Iterations	20

661.93 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	661928831.00
Time Unit	ns
Iterations	20

message 4

Output Round

373.94 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	373937830.35
Time Unit	ns
Iterations	20

0.17 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	165642.50
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	1559251.00
Time Unit	ns
Iterations	20

0.04 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	44093.05
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	856.55
Time Unit	ns
Iterations	20

1.49 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1494784.55
Time Unit	ns
Iterations	20

message 2

round 3

1.93 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1933603.20
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2543.15
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	3536.50
Time Unit	ns
Iterations	20

13.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13005986.40
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	1985658.05
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	46735.70
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	621.75
Time Unit	ns
Iterations	20

1.92 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1922593.75
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	2870625.55
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	2397.00
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	3999.95
Time Unit	ns
Iterations	20

46.93 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	46926814.95
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	4485968.65
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	51550.45
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	679.20
Time Unit	ns
Iterations	20

4.74 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4742190.80
Time Unit	ns
Iterations	20

message 2

round 3

6.86 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6858539.50
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	2668.95
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/16
Real Time	4450.80
Time Unit	ns
Iterations	20

183.64 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	183635808.55
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	241875.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	215050.00
Time Unit	ns
Iterations	1

0.18 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	184826.00
Time Unit	ns
Iterations	1

0.19 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	194339.00
Time Unit	ns
Iterations	1

message 1

round 2

1.63 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1627970.00
Time Unit	ns
Iterations	1

1.60 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1597323.00
Time Unit	ns
Iterations	1

1.57 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1571315.00
Time Unit	ns
Iterations	1

1.51 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1510331.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.57 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20572389.00
Time Unit	ns
Iterations	1

20.62 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20622182.00
Time Unit	ns
Iterations	1

20.67 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20674483.00
Time Unit	ns
Iterations	1

20.51 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20508682.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.55 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4547851.40
Time Unit	ns
Iterations	10

4.55 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4553423.70
Time Unit	ns
Iterations	10

4.56 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4562945.40
Time Unit	ns
Iterations	10

4.56 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4557101.50
Time Unit	ns
Iterations	10

message 1

round 2

2.60 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2596311.10
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2589958.70
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2591482.50
Time Unit	ns
Iterations	10

2.59 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2593523.00
Time Unit	ns
Iterations	10

message 2

Output Round

70.29 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	70290553.10
Time Unit	ns
Iterations	10

70.25 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	70254460.80
Time Unit	ns
Iterations	10

70.28 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	70280594.20
Time Unit	ns
Iterations	10

70.20 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	70204988.60
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	254081.70
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	245825.20
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	248734.00
Time Unit	ns
Iterations	10

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	252157.20
Time Unit	ns
Iterations	10

message 1

round 2

2.54 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2541423.50
Time Unit	ns
Iterations	10

2.55 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2551709.40
Time Unit	ns
Iterations	10

2.56 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2564459.00
Time Unit	ns
Iterations	10

2.51 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2511082.80
Time Unit	ns
Iterations	10

message 2

round 3

45.31 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	45310211.60
Time Unit	ns
Iterations	10

45.33 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45331535.50
Time Unit	ns
Iterations	10

45.65 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45649087.50
Time Unit	ns
Iterations	10

45.45 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	45452424.40
Time Unit	ns
Iterations	10

message 3

Output Round

0.50 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	504509.60
Time Unit	ns
Iterations	10

0.12 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	120446.00
Time Unit	ns
Iterations	10

0.12 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	119738.30
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	126188.10
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	171176.00
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	171996.80
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	166011.40
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	168895.30
Time Unit	ns
Iterations	10

message 1

round 2

1.31 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1311535.00
Time Unit	ns
Iterations	10

1.29 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1293148.60
Time Unit	ns
Iterations	10

1.27 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1274805.30
Time Unit	ns
Iterations	10

1.27 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1269633.90
Time Unit	ns
Iterations	10

message 2

Output Round

3.19 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3189142.40
Time Unit	ns
Iterations	10

3.19 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3187911.00
Time Unit	ns
Iterations	10

3.19 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3189533.70
Time Unit	ns
Iterations	10

3.19 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3192555.00
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.52 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4524537.50
Time Unit	ns
Iterations	10

4.52 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4523881.30
Time Unit	ns
Iterations	10

4.55 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4549234.20
Time Unit	ns
Iterations	10

4.54 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4544477.00
Time Unit	ns
Iterations	10

message 1

round 2

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1127967.10
Time Unit	ns
Iterations	10

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1137793.10
Time Unit	ns
Iterations	10

1.12 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1120842.80
Time Unit	ns
Iterations	10

1.12 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1124252.00
Time Unit	ns
Iterations	10

message 2

Output Round

10.89 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	10891575.70
Time Unit	ns
Iterations	10

10.88 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	10882345.50
Time Unit	ns
Iterations	10

10.86 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	10855353.60
Time Unit	ns
Iterations	10

10.85 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	10847605.20
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	211150.60
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	221283.90
Time Unit	ns
Iterations	10

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	210319.90
Time Unit	ns
Iterations	10

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	212461.60
Time Unit	ns
Iterations	10

message 1

round 2

68.94 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	68939332.80
Time Unit	ns
Iterations	10

46.42 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46415363.50
Time Unit	ns
Iterations	10

23.93 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	23926126.30
Time Unit	ns
Iterations	10

1.33 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1329682.10
Time Unit	ns
Iterations	10

message 2

round 3

3.13 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3128456.70
Time Unit	ns
Iterations	10

95.42 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	95419756.30
Time Unit	ns
Iterations	10

187.56 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	187558409.90
Time Unit	ns
Iterations	10

279.59 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	279588669.20
Time Unit	ns
Iterations	10

message 3

round 4

70.32 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	70320688.80
Time Unit	ns
Iterations	10

49.28 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	49280257.90
Time Unit	ns
Iterations	10

27.87 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	27874195.60
Time Unit	ns
Iterations	10

6.58 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6583245.90
Time Unit	ns
Iterations	10

message 4

round 5

9.78 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9782371.50
Time Unit	ns
Iterations	10

12.22 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12222977.30
Time Unit	ns
Iterations	10

14.46 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	14459265.20
Time Unit	ns
Iterations	10

16.78 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	16783267.00
Time Unit	ns
Iterations	10

message 5

round 6

10.95 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	10951802.10
Time Unit	ns
Iterations	10

10.00 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	9997111.30
Time Unit	ns
Iterations	10

8.97 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	8965260.00
Time Unit	ns
Iterations	10

7.61 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7610380.70
Time Unit	ns
Iterations	10

message 6

round 7

21.37 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21370434.10
Time Unit	ns
Iterations	10

21.64 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	21636105.10
Time Unit	ns
Iterations	10

21.35 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21351774.50
Time Unit	ns
Iterations	10

21.48 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	21482101.40
Time Unit	ns
Iterations	10

message 7

round 8

9.22 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9222819.80
Time Unit	ns
Iterations	10

9.23 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9225594.60
Time Unit	ns
Iterations	10

9.21 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9209523.30
Time Unit	ns
Iterations	10

9.21 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9212370.90
Time Unit	ns
Iterations	10

message 8

round 9

2.78 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2782347.00
Time Unit	ns
Iterations	10

2.75 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2746175.20
Time Unit	ns
Iterations	10

2.73 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2729107.00
Time Unit	ns
Iterations	10

2.72 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2724141.80
Time Unit	ns
Iterations	10

message 9

Output Round

2.81 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2810507.00
Time Unit	ns
Iterations	10

1.28 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1280167.30
Time Unit	ns
Iterations	10

1.36 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1357744.90
Time Unit	ns
Iterations	10

1.43 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1425163.60
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