Benchmark Context

Date: 2025-06-17T15:30:56+00:00
Commit: ee61f1f2ceb91985da7ff5f69d002b9cd8fdc6e8
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3325

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.07 μs

Name	Core/BN/ModAdd/256
Real Time	67.21
Time Unit	ns
Iterations	10419581

0.08 μs

Name	Core/BN/ModAdd/512
Real Time	78.12
Time Unit	ns
Iterations	9000576

0.11 μs

Name	Core/BN/ModAdd/1024
Real Time	105.04
Time Unit	ns
Iterations	6555664

0.17 μs

Name	Core/BN/ModAdd/2048
Real Time	171.80
Time Unit	ns
Iterations	4085197

0.28 μs

Name	Core/BN/ModAdd/4096
Real Time	278.93
Time Unit	ns
Iterations	2519642

Mod Sub

0.07 μs

Name	Core/BN/ModSubtract/256
Real Time	72.23
Time Unit	ns
Iterations	9641632

0.08 μs

Name	Core/BN/ModSubtract/512
Real Time	82.20
Time Unit	ns
Iterations	8481272

0.11 μs

Name	Core/BN/ModSubtract/1024
Real Time	113.18
Time Unit	ns
Iterations	6183652

0.18 μs

Name	Core/BN/ModSubtract/2048
Real Time	183.23
Time Unit	ns
Iterations	3827865

0.33 μs

Name	Core/BN/ModSubtract/4096
Real Time	326.54
Time Unit	ns
Iterations	2153835

Mod Mul

0.15 μs

Name	Core/BN/ModMultiply/256
Real Time	151.68
Time Unit	ns
Iterations	4641688

0.28 μs

Name	Core/BN/ModMultiply/512
Real Time	279.12
Time Unit	ns
Iterations	2506097

0.81 μs

Name	Core/BN/ModMultiply/1024
Real Time	812.38
Time Unit	ns
Iterations	861814

2.74 μs

Name	Core/BN/ModMultiply/2048
Real Time	2739.51
Time Unit	ns
Iterations	255755

10.97 μs

Name	Core/BN/ModMultiply/4096
Real Time	10969.90
Time Unit	ns
Iterations	63801

Mod Exponentiate

16.39 μs

Name	Core/BN/ModExponentiate/256
Real Time	16392.97
Time Unit	ns
Iterations	42622

41.92 μs

Name	Core/BN/ModExponentiate/512
Real Time	41917.77
Time Unit	ns
Iterations	16694

311.29 μs

Name	Core/BN/ModExponentiate/1024
Real Time	311292.06
Time Unit	ns
Iterations	2250

2212.12 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2212117.84
Time Unit	ns
Iterations	316

16542.05 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16542049.86
Time Unit	ns
Iterations	42

Mod Invert

17.51 μs

Name	Core/BN/ModInvert/256
Real Time	17514.29
Time Unit	ns
Iterations	40007

37.15 μs

Name	Core/BN/ModInvert/512
Real Time	37149.18
Time Unit	ns
Iterations	18854

87.31 μs

Name	Core/BN/ModInvert/1024
Real Time	87309.70
Time Unit	ns
Iterations	8009

224.62 μs

Name	Core/BN/ModInvert/2048
Real Time	224620.28
Time Unit	ns
Iterations	3135

673.18 μs

Name	Core/BN/ModInvert/4096
Real Time	673182.95
Time Unit	ns
Iterations	1053

GCD

23.09 μs

Name	Core/BN/GCD/256
Real Time	23086.74
Time Unit	ns
Iterations	30635

51.20 μs

Name	Core/BN/GCD/512
Real Time	51196.00
Time Unit	ns
Iterations	13805

127.55 μs

Name	Core/BN/GCD/1024
Real Time	127545.24
Time Unit	ns
Iterations	5499

358.18 μs

Name	Core/BN/GCD/2048
Real Time	358180.31
Time Unit	ns
Iterations	1943

1165.22 μs

Name	Core/BN/GCD/4096
Real Time	1165223.30
Time Unit	ns
Iterations	602

GCD with RSA Modulus

23.40 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	23395.85
Time Unit	ns
Iterations	30704

51.90 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	51895.78
Time Unit	ns
Iterations	13697

127.27 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	127267.53
Time Unit	ns
Iterations	5446

363.04 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	363037.49
Time Unit	ns
Iterations	1928

1170.51 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1170505.74
Time Unit	ns
Iterations	599

Batch(16) GCD with RSA Modulus

25.88 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	25875.71
Time Unit	ns
Iterations	27536

55.32 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	55320.07
Time Unit	ns
Iterations	12717

139.82 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	139815.16
Time Unit	ns
Iterations	4981

400.93 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	400930.43
Time Unit	ns
Iterations	1747

1335.84 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1335836.34
Time Unit	ns
Iterations	526

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	356.88
Time Unit	ns
Iterations	1963785

0.31 μs

Name	Core/EC/Add/Ed25519
Real Time	308.35
Time Unit	ns
Iterations	2277197

Multiply

41.42 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41416.25
Time Unit	ns
Iterations	16917

63.85 μs

Name	Core/EC/Multiply/Ed25519
Real Time	63853.32
Time Unit	ns
Iterations	10808

Multiply Generator

20.00 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	20002.46
Time Unit	ns
Iterations	34984

14.20 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14200.75
Time Unit	ns
Iterations	49273

MulAdd

61.69 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	61692.22
Time Unit	ns
Iterations	11357

78.43 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	78427.84
Time Unit	ns
Iterations	8922

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

0.31 μs

Name	Core/Hash/SHA256/1
Real Time	305.19
Time Unit	ns
Iterations	2297296

0.31 μs

Name	Core/Hash/SHA256/4
Real Time	305.52
Time Unit	ns
Iterations	2286730

0.30 μs

Name	Core/Hash/SHA256/16
Real Time	303.86
Time Unit	ns
Iterations	2297558

0.33 μs

Name	Core/Hash/SHA256/64
Real Time	334.39
Time Unit	ns
Iterations	2087589

0.45 μs

Name	Core/Hash/SHA256/256
Real Time	453.12
Time Unit	ns
Iterations	1544493

0.93 μs

Name	Core/Hash/SHA256/1024
Real Time	934.74
Time Unit	ns
Iterations	749313

2.86 μs

Name	Core/Hash/SHA256/4096
Real Time	2860.98
Time Unit	ns
Iterations	244702

HMAC-SHA256

0.31 μs

Name	Core/Hash/HMAC-SHA256/1
Real Time	305.23
Time Unit	ns
Iterations	2274408

0.31 μs

Name	Core/Hash/HMAC-SHA256/4
Real Time	306.00
Time Unit	ns
Iterations	2286096

0.30 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	303.52
Time Unit	ns
Iterations	2300168

0.33 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	333.49
Time Unit	ns
Iterations	2099860

0.45 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	454.00
Time Unit	ns
Iterations	1541673

0.93 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	934.91
Time Unit	ns
Iterations	749131

2.86 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	2864.59
Time Unit	ns
Iterations	244328

AES-GCM-128

0.67 μs

Name	Core/Hash/AES-GCM-128/1
Real Time	667.41
Time Unit	ns
Iterations	1054135

0.67 μs

Name	Core/Hash/AES-GCM-128/4
Real Time	671.60
Time Unit	ns
Iterations	1047309

0.67 μs

Name	Core/Hash/AES-GCM-128/16
Real Time	672.23
Time Unit	ns
Iterations	1041033

0.70 μs

Name	Core/Hash/AES-GCM-128/64
Real Time	696.66
Time Unit	ns
Iterations	1008881

0.76 μs

Name	Core/Hash/AES-GCM-128/256
Real Time	760.84
Time Unit	ns
Iterations	920349

0.94 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	938.25
Time Unit	ns
Iterations	738368

1.65 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1648.31
Time Unit	ns
Iterations	425518

AES-GCM-256

0.67 μs

Name	Core/Hash/AES-GCM-256/1
Real Time	669.31
Time Unit	ns
Iterations	1044493

0.67 μs

Name	Core/Hash/AES-GCM-256/4
Real Time	670.76
Time Unit	ns
Iterations	1041904

0.67 μs

Name	Core/Hash/AES-GCM-256/16
Real Time	672.93
Time Unit	ns
Iterations	1045207

0.70 μs

Name	Core/Hash/AES-GCM-256/64
Real Time	695.48
Time Unit	ns
Iterations	1003602

0.78 μs

Name	Core/Hash/AES-GCM-256/256
Real Time	776.64
Time Unit	ns
Iterations	913650

0.94 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	937.80
Time Unit	ns
Iterations	734354

1.65 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1648.28
Time Unit	ns
Iterations	425244

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

82.95 μs

Name	BP/ElGamal/Commit/3
Real Time	82954.79
Time Unit	ns
Iterations	8431

94.33 μs

Name	BP/ElGamal/Commit/4
Real Time	94326.89
Time Unit	ns
Iterations	7341

Rerand

62.57 μs

Name	BP/ElGamal/Rerand/3
Real Time	62565.69
Time Unit	ns
Iterations	11209

79.06 μs

Name	BP/ElGamal/Rerand/4
Real Time	79056.83
Time Unit	ns
Iterations	8862

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.84
Time Unit	ns
Iterations	922748

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	657.59
Time Unit	ns
Iterations	1068405

Add Scalar

20.44 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20440.36
Time Unit	ns
Iterations	34194

7.68 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7684.93
Time Unit	ns
Iterations	91286

Mul Scalar

82.79 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82793.31
Time Unit	ns
Iterations	8466

127.68 μs

Name	BP/ElGamal/MulScalar/4
Real Time	127680.75
Time Unit	ns
Iterations	5459

Paillier

Operation \ Bit length

2048 bits

Generate Key

58.62 ms

Name	BP/Paillier/Gen
Real Time	58621744.40
Time Unit	ns
Iterations	10

Encrypt (with private key)

4.51 ms

Name	BP/Paillier/Enc
Real Time	4507127.79
Time Unit	ns
Iterations	155

Encrypt

8.57 ms

Name	BP/Paillier/Pub-Enc
Real Time	8567332.11
Time Unit	ns
Iterations	82

Decrypt

4.52 ms

Name	BP/Paillier/Dec
Real Time	4524419.45
Time Unit	ns
Iterations	156

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11081.13
Time Unit	ns
Iterations	63361

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	12891.57
Time Unit	ns
Iterations	53958

Mul-Scalar

8.31 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8314890.63
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.97 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189967.61
Time Unit	ns
Iterations	3698

190.49 μs

Name	tdh2-encrypt-1P/30/256
Real Time	190486.64
Time Unit	ns
Iterations	3698

268.75 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	268749.89
Time Unit	ns
Iterations	2573

268.73 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	268725.52
Time Unit	ns
Iterations	2598

Verify

261.09 μs

Name	tdh2-verify-1P/4/256
Real Time	261085.04
Time Unit	ns
Iterations	3468

222.40 μs

Name	tdh2-verify-1P/30/256
Real Time	222400.33
Time Unit	ns
Iterations	2898

263.92 μs

Name	tdh2-verify-1P/4/65536
Real Time	263919.47
Time Unit	ns
Iterations	2886

263.66 μs

Name	tdh2-verify-1P/30/65536
Real Time	263656.25
Time Unit	ns
Iterations	2661

Local Decrypt

322.26 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	322260.87
Time Unit	ns
Iterations	2174

342.92 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	342923.45
Time Unit	ns
Iterations	1827

445.30 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	445300.95
Time Unit	ns
Iterations	1819

363.48 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	363481.33
Time Unit	ns
Iterations	1924

Combine

896.60 μs

Name	tdh2-combine-1P/4/256
Real Time	896604.69
Time Unit	ns
Iterations	759

5446.37 μs

Name	tdh2-combine-1P/30/256
Real Time	5446365.76
Time Unit	ns
Iterations	131

977.87 μs

Name	tdh2-combine-1P/4/65536
Real Time	977865.30
Time Unit	ns
Iterations	676

5474.37 μs

Name	tdh2-combine-1P/30/65536
Real Time	5474372.33
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	1431.18
Time Unit	ns
Iterations	490928

1.49 μs

Name	Crypto/DRBG/String/2048
Real Time	1490.97
Time Unit	ns
Iterations	472417

1.57 μs

Name	Crypto/DRBG/String/4096
Real Time	1573.01
Time Unit	ns
Iterations	441906

1.81 μs

Name	Crypto/DRBG/String/8192
Real Time	1807.01
Time Unit	ns
Iterations	389267

2.34 μs

Name	Crypto/DRBG/String/16384
Real Time	2336.59
Time Unit	ns
Iterations	300545

3.27 μs

Name	Crypto/DRBG/String/32768
Real Time	3270.43
Time Unit	ns
Iterations	214022

5.08 μs

Name	Crypto/DRBG/String/65536
Real Time	5075.26
Time Unit	ns
Iterations	138061

8.69 μs

Name	Crypto/DRBG/String/131072
Real Time	8690.85
Time Unit	ns
Iterations	79613

15.97 μs

Name	Crypto/DRBG/String/262144
Real Time	15971.55
Time Unit	ns
Iterations	43991

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.68 μs

Name	Crypto/DRBG/Number/256
Real Time	1684.97
Time Unit	ns
Iterations	417592

1.77 μs

Name	Crypto/DRBG/Number/512
Real Time	1773.86
Time Unit	ns
Iterations	395633

1.98 μs

Name	Crypto/DRBG/Number/1024
Real Time	1984.60
Time Unit	ns
Iterations	353500

2.38 μs

Name	Crypto/DRBG/Number/2048
Real Time	2382.86
Time Unit	ns
Iterations	297103

3.14 μs

Name	Crypto/DRBG/Number/4096
Real Time	3141.59
Time Unit	ns
Iterations	222428

Curve

secp256k1

Ed25519

DRBG-Curve

22.07 μs

Name	Crypto/DRBG/Curve/3
Real Time	22066.95
Time Unit	ns
Iterations	31625

16.40 μs

Name	Crypto/DRBG/Curve/4
Real Time	16397.07
Time Unit	ns
Iterations	42788

HMAC

#big number

Commit

2.62 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2623.54
Time Unit	ns
Iterations	266703

2.88 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2878.36
Time Unit	ns
Iterations	243912

3.19 μs

Name	Crypto/Commitment/ComBn/6
Real Time	3185.74
Time Unit	ns
Iterations	218847

3.41 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3412.52
Time Unit	ns
Iterations	204763

3.65 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3649.79
Time Unit	ns
Iterations	190472

3.89 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3892.26
Time Unit	ns
Iterations	179831

4.14 μs

Name	Crypto/Commitment/ComBn/14
Real Time	4143.13
Time Unit	ns
Iterations	168891

4.40 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4399.54
Time Unit	ns
Iterations	158689

4.64 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4643.76
Time Unit	ns
Iterations	149797

4.91 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4910.55
Time Unit	ns
Iterations	142324

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

82.95 μs

Name	BP/ElGamal/Commit/3
Real Time	82954.79
Time Unit	ns
Iterations	8431

94.33 μs

Name	BP/ElGamal/Commit/4
Real Time	94326.89
Time Unit	ns
Iterations	7341

Rerand

62.57 μs

Name	BP/ElGamal/Rerand/3
Real Time	62565.69
Time Unit	ns
Iterations	11209

79.06 μs

Name	BP/ElGamal/Rerand/4
Real Time	79056.83
Time Unit	ns
Iterations	8862

Add

0.76 μs

Name	BP/ElGamal/Add/3
Real Time	758.84
Time Unit	ns
Iterations	922748

0.66 μs

Name	BP/ElGamal/Add/4
Real Time	657.59
Time Unit	ns
Iterations	1068405

Add Scalar

20.44 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20440.36
Time Unit	ns
Iterations	34194

7.68 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7684.93
Time Unit	ns
Iterations	91286

Mul Scalar

82.79 μs

Name	BP/ElGamal/MulScalar/3
Real Time	82793.31
Time Unit	ns
Iterations	8466

127.68 μs

Name	BP/ElGamal/MulScalar/4
Real Time	127680.75
Time Unit	ns
Iterations	5459

Shamir Secret Sharing

m\n

16.75 μs

Name	BP/Share/Shamir/10/2
Real Time	16752.98
Time Unit	ns
Iterations	41457

18.91 μs

Name	BP/Share/Shamir/10/3
Real Time	18913.33
Time Unit	ns
Iterations	37058

21.12 μs

Name	BP/Share/Shamir/10/4
Real Time	21118.78
Time Unit	ns
Iterations	33031

23.20 μs

Name	BP/Share/Shamir/10/5
Real Time	23195.02
Time Unit	ns
Iterations	29961

25.34 μs

Name	BP/Share/Shamir/10/6
Real Time	25337.95
Time Unit	ns
Iterations	27219

27.50 μs

Name	BP/Share/Shamir/10/7
Real Time	27503.22
Time Unit	ns
Iterations	25484

34.62 μs

Name	BP/Share/Shamir/20/2
Real Time	34623.29
Time Unit	ns
Iterations	20270

39.14 μs

Name	BP/Share/Shamir/20/3
Real Time	39140.74
Time Unit	ns
Iterations	17891

43.27 μs

Name	BP/Share/Shamir/20/4
Real Time	43270.72
Time Unit	ns
Iterations	16129

47.78 μs

Name	BP/Share/Shamir/20/5
Real Time	47778.63
Time Unit	ns
Iterations	14611

52.12 μs

Name	BP/Share/Shamir/20/6
Real Time	52116.75
Time Unit	ns
Iterations	13482

56.59 μs

Name	BP/Share/Shamir/20/7
Real Time	56588.34
Time Unit	ns
Iterations	12442

52.53 μs

Name	BP/Share/Shamir/30/2
Real Time	52525.12
Time Unit	ns
Iterations	13317

59.19 μs

Name	BP/Share/Shamir/30/3
Real Time	59189.66
Time Unit	ns
Iterations	11795

65.69 μs

Name	BP/Share/Shamir/30/4
Real Time	65692.47
Time Unit	ns
Iterations	10556

72.21 μs

Name	BP/Share/Shamir/30/5
Real Time	72211.81
Time Unit	ns
Iterations	9670

79.08 μs

Name	BP/Share/Shamir/30/6
Real Time	79079.30
Time Unit	ns
Iterations	8891

85.60 μs

Name	BP/Share/Shamir/30/7
Real Time	85595.07
Time Unit	ns
Iterations	8231

Horner's rule

m\n

256 bit field

0.49 μs

Name	BP/Share/Horner/3
Real Time	493.20
Time Unit	ns
Iterations	1423121

0.71 μs

Name	BP/Share/Horner/4
Real Time	712.71
Time Unit	ns
Iterations	983584

1.16 μs

Name	BP/Share/Horner/6
Real Time	1156.53
Time Unit	ns
Iterations	600683

1.60 μs

Name	BP/Share/Horner/8
Real Time	1598.88
Time Unit	ns
Iterations	435885

2.04 μs

Name	BP/Share/Horner/10
Real Time	2043.02
Time Unit	ns
Iterations	344203

3.37 μs

Name	BP/Share/Horner/16
Real Time	3369.12
Time Unit	ns
Iterations	208006

6.94 μs

Name	BP/Share/Horner/32
Real Time	6937.76
Time Unit	ns
Iterations	101436

secp256k1

83.58 μs

Name	BP/Share/ECHorner/3/3
Real Time	83575.93
Time Unit	ns
Iterations	8364

125.63 μs

Name	BP/Share/ECHorner/3/4
Real Time	125628.24
Time Unit	ns
Iterations	5587

208.80 μs

Name	BP/Share/ECHorner/3/6
Real Time	208799.39
Time Unit	ns
Iterations	3334

292.37 μs

Name	BP/Share/ECHorner/3/8
Real Time	292368.96
Time Unit	ns
Iterations	2378

376.21 μs

Name	BP/Share/ECHorner/3/10
Real Time	376208.96
Time Unit	ns
Iterations	1863

627.16 μs

Name	BP/Share/ECHorner/3/16
Real Time	627162.28
Time Unit	ns
Iterations	1117

1294.91 μs

Name	BP/Share/ECHorner/3/32
Real Time	1294913.99
Time Unit	ns
Iterations	538

Ed25519

128.36 μs

Name	BP/Share/ECHorner/4/3
Real Time	128355.54
Time Unit	ns
Iterations	5462

192.26 μs

Name	BP/Share/ECHorner/4/4
Real Time	192258.18
Time Unit	ns
Iterations	3618

321.67 μs

Name	BP/Share/ECHorner/4/6
Real Time	321668.09
Time Unit	ns
Iterations	2176

448.96 μs

Name	BP/Share/ECHorner/4/8
Real Time	448964.85
Time Unit	ns
Iterations	1559

576.71 μs

Name	BP/Share/ECHorner/4/10
Real Time	576713.98
Time Unit	ns
Iterations	1214

966.78 μs

Name	BP/Share/ECHorner/4/16
Real Time	966783.78
Time Unit	ns
Iterations	725

1986.04 μs

Name	BP/Share/ECHorner/4/32
Real Time	1986037.30
Time Unit	ns
Iterations	353

Lagrange interpolation

m\n

256 bit field

37.62 μs

Name	BP/Share/Lagrange/3
Real Time	37619.10
Time Unit	ns
Iterations	18719

54.30 μs

Name	BP/Share/Lagrange/4
Real Time	54304.26
Time Unit	ns
Iterations	13020

94.78 μs

Name	BP/Share/Lagrange/6
Real Time	94776.22
Time Unit	ns
Iterations	7245

146.62 μs

Name	BP/Share/Lagrange/8
Real Time	146617.99
Time Unit	ns
Iterations	4823

204.89 μs

Name	BP/Share/Lagrange/10
Real Time	204888.49
Time Unit	ns
Iterations	3346

430.00 μs

Name	BP/Share/Lagrange/16
Real Time	430003.58
Time Unit	ns
Iterations	1625

1355.60 μs

Name	BP/Share/Lagrange/32
Real Time	1355603.33
Time Unit	ns
Iterations	511

secp256k1

135.91 μs

Name	BP/Share/ECLagrange/3/3
Real Time	135907.94
Time Unit	ns
Iterations	5161

187.23 μs

Name	BP/Share/ECLagrange/3/4
Real Time	187225.32
Time Unit	ns
Iterations	3773

293.82 μs

Name	BP/Share/ECLagrange/3/6
Real Time	293815.46
Time Unit	ns
Iterations	2393

411.07 μs

Name	BP/Share/ECLagrange/3/8
Real Time	411065.40
Time Unit	ns
Iterations	1681

544.84 μs

Name	BP/Share/ECLagrange/3/10
Real Time	544840.26
Time Unit	ns
Iterations	1289

989.54 μs

Name	BP/Share/ECLagrange/3/16
Real Time	989539.22
Time Unit	ns
Iterations	707

2504.37 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2504373.95
Time Unit	ns
Iterations	278

Ed25519

229.97 μs

Name	BP/Share/ECLagrange/4/3
Real Time	229972.50
Time Unit	ns
Iterations	3045

311.17 μs

Name	BP/Share/ECLagrange/4/4
Real Time	311171.63
Time Unit	ns
Iterations	2249

478.92 μs

Name	BP/Share/ECLagrange/4/6
Real Time	478917.46
Time Unit	ns
Iterations	1462

659.60 μs

Name	BP/Share/ECLagrange/4/8
Real Time	659604.12
Time Unit	ns
Iterations	1063

854.40 μs

Name	BP/Share/ECLagrange/4/10
Real Time	854401.63
Time Unit	ns
Iterations	817

1460.38 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1460379.75
Time Unit	ns
Iterations	480

3411.47 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3411474.28
Time Unit	ns
Iterations	204

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

1.00 ms

Name	ZK/DL/Prover/3
Real Time	999864.87
Time Unit	ns
Iterations	702

0.77 ms

Name	ZK/DL/Verify/3
Real Time	768576.76
Time Unit	ns
Iterations	909

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.94 ms

Name	ZK/DL/Prover/4
Real Time	942742.87
Time Unit	ns
Iterations	747

4.50 ms

Name	ZK/DL/Verify/4
Real Time	4500755.73
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	77439.15
Time Unit	ns
Iterations	9036

0.14 ms

Name	ZK/DH/Verify/3
Real Time	139331.91
Time Unit	ns
Iterations	5092

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com (secp256k1)

2.78 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2777014.99
Time Unit	ns
Iterations	256

1.08 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1078292.22
Time Unit	ns
Iterations	652

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	78051.55
Time Unit	ns
Iterations	8935

0.14 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	143319.36
Time Unit	ns
Iterations	4854

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	257781.64
Time Unit	ns
Iterations	2729

0.37 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	366570.26
Time Unit	ns
Iterations	1886

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	4289789.07
Time Unit	ns
Iterations	162

1.00 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	997729.17
Time Unit	ns
Iterations	700

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.52 ms

Name	ZK/ValidPaillier/Prover
Real Time	23520845.23
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22591705.71
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.49 ms

Name	ZK/PaillierZero/Prover
Real Time	92486314.63
Time Unit	ns
Iterations	8

87.82 ms

Name	ZK/PaillierZero/Verify
Real Time	87819940.88
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.64 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90637582.38
Time Unit	ns
Iterations	8

182.77 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	182774313.50
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

332.27 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332266866.00
Time Unit	ns
Iterations	2

17.50 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17502686.75
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.12 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48123205.21
Time Unit	ns
Iterations	14

99.06 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99063557.71
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.52 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382522808.50
Time Unit	ns
Iterations	2

117.32 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	117318928.83
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

387.81 ms

Name	ZK/PDL/Prover
Real Time	387805639.00
Time Unit	ns
Iterations	2

126.90 ms

Name	ZK/PDL/Verify
Real Time	126901758.20
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.34 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297342460.00
Time Unit	ns
Iterations	2

298.37 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	298370466.50
Time Unit	ns
Iterations	2

34.13 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

1.00 ms

Name	ZK/DL/Prover/3
Real Time	999864.87
Time Unit	ns
Iterations	702

0.77 ms

Name	ZK/DL/Verify/3
Real Time	768576.76
Time Unit	ns
Iterations	909

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.73 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1734631.41
Time Unit	ns
Iterations	403

2.22 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	2218787.47
Time Unit	ns
Iterations	325

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

4.05 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	4049813.27
Time Unit	ns
Iterations	171

5.52 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	5515942.23
Time Unit	ns
Iterations	124

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

12.69 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	12686127.00
Time Unit	ns
Iterations	58

27.78 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	27777668.88
Time Unit	ns
Iterations	25

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.94 ms

Name	ZK/DL/Prover/4
Real Time	942742.87
Time Unit	ns
Iterations	747

4.50 ms

Name	ZK/DL/Verify/4
Real Time	4500755.73
Time Unit	ns
Iterations	156

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.64 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1644426.12
Time Unit	ns
Iterations	432

14.74 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	14741341.54
Time Unit	ns
Iterations	48

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

4.09 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	4086188.69
Time Unit	ns
Iterations	173

48.60 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	48597820.07
Time Unit	ns
Iterations	14

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

12.83 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	12834878.30
Time Unit	ns
Iterations	53

272.65 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	272650944.00
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	752.97
Time Unit	ns
Iterations	933328

0.02 KB

Name
Real Time
Time Unit
Iterations

9.75 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9750660.31
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.28 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9283422.93
Time Unit	ns
Iterations	75

9.75 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9750660.31
Time Unit	ns
Iterations	72

9.28 ms

Name	sum
Real Time	9284175.90
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

23.52 ms

Name	ZK/ValidPaillier/Prover
Real Time	23520845.23
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22591705.71
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

33.32 ms

Name	ZK/PaillierZero-Int/P1
Real Time	33317568.67
Time Unit	ns
Iterations	21

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/PaillierZero-Int/V2
Real Time	2985.63
Time Unit	ns
Iterations	232050

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierZero-Int/P3
Real Time	352386.55
Time Unit	ns
Iterations	1989

3.12 KB

Name
Real Time
Time Unit
Iterations

35.14 ms

Name	ZK/PaillierZero-Int/Verify
Real Time	35143438.50
Time Unit	ns
Iterations	20

33.67 ms

Name	sum
Real Time	33669955.22
Time Unit	ns
Iterations	-1

35.15 ms

Name	sum
Real Time	35146424.13
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

92.49 ms

Name	ZK/PaillierZero/Prover
Real Time	92486314.63
Time Unit	ns
Iterations	8

87.82 ms

Name	ZK/PaillierZero/Verify
Real Time	87819940.88
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.77 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35766900.85
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	858.67
Time Unit	ns
Iterations	817084

0.00 KB

Name
Real Time
Time Unit
Iterations

0.70 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	704380.26
Time Unit	ns
Iterations	993

0.00 KB

Name
Real Time
Time Unit
Iterations

73.52 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	73518088.89
Time Unit	ns
Iterations	9

36.47 ms

Name	sum
Real Time	36471281.11
Time Unit	ns
Iterations	-1

73.52 ms

Name	sum
Real Time	73518947.56
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

90.64 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90637582.38
Time Unit	ns
Iterations	8

182.77 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	182774313.50
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.46 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129455811.20
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	755.80
Time Unit	ns
Iterations	927769

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	5333.59
Time Unit	ns
Iterations	105742

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	6438.63
Time Unit	ns
Iterations	132075

129.46 ms

Name	sum
Real Time	129461144.79
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	7194.42
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

332.27 ms

Name	ZK/RangePedersen/Prover/3
Real Time	332266866.00
Time Unit	ns
Iterations	2

17.50 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17502686.75
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	20470064.91
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	915.60
Time Unit	ns
Iterations	769637

0.01 KB

Name
Real Time
Time Unit
Iterations

0.35 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	353237.52
Time Unit	ns
Iterations	1983

3.81 KB

Name
Real Time
Time Unit
Iterations

43.95 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43946666.88
Time Unit	ns
Iterations	16

20.82 ms

Name	sum
Real Time	20823302.44
Time Unit	ns
Iterations	-1

43.95 ms

Name	sum
Real Time	43947582.47
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

48.12 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48123205.21
Time Unit	ns
Iterations	14

99.06 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99063557.71
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.05 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10050235.04
Time Unit	ns
Iterations	69

6.20 ms

Name	PVE/vencrypt/Verify/0
Real Time	6204440.20
Time Unit	ns
Iterations	108

6.97 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	6970437.62
Time Unit	ns
Iterations	100

Batch(4) - RSA2048

18.10 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18099122.38
Time Unit	ns
Iterations	39

13.89 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	13885721.52
Time Unit	ns
Iterations	50

14.69 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14693483.96
Time Unit	ns
Iterations	48

Batch(16) - RSA2048

47.75 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	47748258.53
Time Unit	ns
Iterations	15

43.20 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43204670.12
Time Unit	ns
Iterations	16

44.19 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	44190247.37
Time Unit	ns
Iterations	16

Basic - P-256

20.44 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	20435124.85
Time Unit	ns
Iterations	34

11.39 ms

Name	PVE/vencrypt/Verify/1
Real Time	11392492.53
Time Unit	ns
Iterations	62

11.45 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	11451041.39
Time Unit	ns
Iterations	61

Batch(4) - P-256

28.52 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	28519428.64
Time Unit	ns
Iterations	25

18.97 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	18972478.49
Time Unit	ns
Iterations	37

19.07 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	19070127.14
Time Unit	ns
Iterations	37

Batch(16) - P-256

58.08 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	58076799.50
Time Unit	ns
Iterations	12

48.19 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	48192374.36
Time Unit	ns
Iterations	14

48.63 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	48633465.64
Time Unit	ns
Iterations	14

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

359.48 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	359484077.50
Time Unit	ns
Iterations	2

214.71 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	214715000.00
Time Unit	ns
Iterations	3

222.63 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	222634484.80
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.44 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6444776.71
Time Unit	ns
Iterations	112

12.46 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12461217.50
Time Unit	ns
Iterations	56

24.75 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24748728.61
Time Unit	ns
Iterations	28

49.57 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	49570593.00
Time Unit	ns
Iterations	14

98.49 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	98487063.57
Time Unit	ns
Iterations	7

196.19 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	196190030.75
Time Unit	ns
Iterations	4

Step 2 (S → R)

25.03 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	25028065.39
Time Unit	ns
Iterations	28

49.94 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	49943406.07
Time Unit	ns
Iterations	14

100.13 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	100129980.57
Time Unit	ns
Iterations	7

199.64 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	199643448.75
Time Unit	ns
Iterations	4

398.04 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	398042249.50
Time Unit	ns
Iterations	2

795.15 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	795154994.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.49 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3487940.30
Time Unit	ns
Iterations	201

7.00 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	7003192.17
Time Unit	ns
Iterations	100

14.07 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	14073488.80
Time Unit	ns
Iterations	50

27.90 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27896654.68
Time Unit	ns
Iterations	25

55.68 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55682561.15
Time Unit	ns
Iterations	13

111.50 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	111500015.00
Time Unit	ns
Iterations	6

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

Number of OTs

2048

4096

65536

Step 1 (S → R)

21.50 ms

Name	MPC/OT/FullOT/Step1_S2R/2048
Real Time	21501357.12
Time Unit	ns
Iterations	33

21.59 ms

Name	MPC/OT/FullOT/Step1_S2R/4096
Real Time	21587058.78
Time Unit	ns
Iterations	32

21.53 ms

Name	MPC/OT/FullOT/Step1_S2R/65536
Real Time	21528904.06
Time Unit	ns
Iterations	33

Step 2 (R → S)

109.14 ms

Name	MPC/OT/FullOT/Step2_R2S/2048
Real Time	109135022.17
Time Unit	ns
Iterations	6

110.16 ms

Name	MPC/OT/FullOT/Step2_R2S/4096
Real Time	110157470.17
Time Unit	ns
Iterations	6

141.11 ms

Name	MPC/OT/FullOT/Step2_R2S/65536
Real Time	141109724.20
Time Unit	ns
Iterations	5

Step 3 (S → R)

126.10 ms

Name	MPC/OT/FullOT/Step3_S2R/2048
Real Time	126104739.50
Time Unit	ns
Iterations	6

130.64 ms

Name	MPC/OT/FullOT/Step3_S2R/4096
Real Time	130638783.40
Time Unit	ns
Iterations	5

255.57 ms

Name	MPC/OT/FullOT/Step3_S2R/65536
Real Time	255568744.00
Time Unit	ns
Iterations	3

Step 4 (R output)

126.85 ms

Name	MPC/OT/FullOT/OutputR/2048
Real Time	126853136.33
Time Unit	ns
Iterations	6

131.68 ms

Name	MPC/OT/FullOT/OutputR/4096
Real Time	131676868.20
Time Unit	ns
Iterations	5

277.66 ms

Name	MPC/OT/FullOT/OutputR/65536
Real Time	277655289.33
Time Unit	ns
Iterations	3

Agree Random - 256 bits

msg

Total Time

round 1

71.52 μs

Name	AgreeRandom-2P/1/1/256
Real Time	71520.24
Time Unit	ns
Iterations	10000

41.23 μs

Name	AgreeRandom-2P/1/2/256
Real Time	41229.59
Time Unit	ns
Iterations	10000

message 1

round 2

0.93 μs

Name	AgreeRandom-2P/2/1/256
Real Time	931.46
Time Unit	ns
Iterations	10000

9.92 μs

Name	AgreeRandom-2P/2/2/256
Real Time	9923.72
Time Unit	ns
Iterations	10000

message 2

round 3

0.39 μs

Name	AgreeRandom-2P/3/1/256
Real Time	391.94
Time Unit	ns
Iterations	10000

0.66 μs

Name	AgreeRandom-2P/3/2/256
Real Time	664.06
Time Unit	ns
Iterations	10000

message 3

Output Round

43.91 μs

Name	AgreeRandom-2P/4/1/256
Real Time	43905.11
Time Unit	ns
Iterations	10000

48.42 μs

Name	AgreeRandom-2P/4/2/256
Real Time	48421.26
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

71.32 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	71322.34
Time Unit	ns
Iterations	10000

41.28 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	41281.33
Time Unit	ns
Iterations	10000

message 1

round 2

0.93 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	927.84
Time Unit	ns
Iterations	10000

10.11 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	10110.66
Time Unit	ns
Iterations	10000

message 2

round 3

0.48 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	478.58
Time Unit	ns
Iterations	10000

0.76 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	759.46
Time Unit	ns
Iterations	10000

message 3

Output Round

45.26 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	45262.63
Time Unit	ns
Iterations	10000

49.84 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	49838.66
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

72.16 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	72155.11
Time Unit	ns
Iterations	10000

41.14 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	41144.76
Time Unit	ns
Iterations	10000

message 1

round 2

0.95 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	947.11
Time Unit	ns
Iterations	10000

10.17 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	10170.51
Time Unit	ns
Iterations	10000

message 2

round 3

0.52 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	520.70
Time Unit	ns
Iterations	10000

0.91 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	907.83
Time Unit	ns
Iterations	10000

message 3

Output Round

44.46 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	44455.92
Time Unit	ns
Iterations	10000

51.63 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	51630.47
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

63.34 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	63338.62
Time Unit	ns
Iterations	10000

40.66 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	40657.17
Time Unit	ns
Iterations	10000

message 1

round 2

0.87 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	871.60
Time Unit	ns
Iterations	10000

9.96 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	9957.75
Time Unit	ns
Iterations	10000

message 2

Output Round

55.99 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	55994.14
Time Unit	ns
Iterations	10000

46.17 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	46171.82
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

63.18 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	63181.22
Time Unit	ns
Iterations	10000

40.68 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	40683.37
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	863.00
Time Unit	ns
Iterations	10000

9.86 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	9861.78
Time Unit	ns
Iterations	10000

message 2

Output Round

58.25 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	58249.83
Time Unit	ns
Iterations	10000

48.27 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	48266.92
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

63.78 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	63775.41
Time Unit	ns
Iterations	10000

40.51 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	40507.03
Time Unit	ns
Iterations	10000

message 1

round 2

0.88 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	881.24
Time Unit	ns
Iterations	10000

9.80 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	9803.36
Time Unit	ns
Iterations	10000

message 2

Output Round

58.97 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	58968.59
Time Unit	ns
Iterations	10000

48.55 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	48550.03
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

63.84 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	63840.01
Time Unit	ns
Iterations	10000

40.57 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	40573.27
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	861.17
Time Unit	ns
Iterations	10000

10.09 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	10093.29
Time Unit	ns
Iterations	10000

message 2

Output Round

57.48 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	57480.40
Time Unit	ns
Iterations	10000

45.67 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	45671.10
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

64.52 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	64521.54
Time Unit	ns
Iterations	10000

41.62 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	41616.04
Time Unit	ns
Iterations	10000

message 1

round 2

0.87 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	865.25
Time Unit	ns
Iterations	10000

10.04 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	10039.41
Time Unit	ns
Iterations	10000

message 2

Output Round

57.88 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	57880.77
Time Unit	ns
Iterations	10000

47.10 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	47097.73
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	98734.40
Time Unit	ns
Iterations	10

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	64052.00
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	914.70
Time Unit	ns
Iterations	10

1.15 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1147656.90
Time Unit	ns
Iterations	10

message 2

round 3

7.99 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	7994014.00
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2408.70
Time Unit	ns
Iterations	10

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	64256.30
Time Unit	ns
Iterations	10

7.02 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	7015670.80
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.07 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	72731.74
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	45203.04
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	916.03
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	9825.99
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	466.58
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	707.72
Time Unit	ns
Iterations	200

message 3

Output Round

0.04 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	44900.73
Time Unit	ns
Iterations	200

0.05 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	52942.01
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	93557.86
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	45005.52
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	1090.86
Time Unit	ns
Iterations	50

1.62 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1616601.70
Time Unit	ns
Iterations	50

message 2

round 3

10.86 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	10860364.16
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	1802.14
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	19754.52
Time Unit	ns
Iterations	50

9.30 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	9302057.94
Time Unit	ns
Iterations	50

message 4

Output Round

0.24 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	238293.90
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	80523.62
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	162483.58
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	46383.18
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	899.48
Time Unit	ns
Iterations	50

2.06 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	2055185.96
Time Unit	ns
Iterations	50

message 2

round 3

20.06 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	20057417.02
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2305.00
Time Unit	ns
Iterations	50

message 3

round 4

0.05 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	52277.74
Time Unit	ns
Iterations	50

18.10 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	18101800.60
Time Unit	ns
Iterations	50

message 4

Output Round

0.62 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	622911.02
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	78088.64
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	403633.24
Time Unit	ns
Iterations	50

0.05 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	45162.10
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	981.54
Time Unit	ns
Iterations	50

4.87 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4866758.12
Time Unit	ns
Iterations	50

message 2

round 3

57.43 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	57432599.00
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	2332.60
Time Unit	ns
Iterations	50

message 3

round 4

0.18 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	184604.98
Time Unit	ns
Iterations	50

53.30 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	53301908.52
Time Unit	ns
Iterations	50

message 4

Output Round

2.21 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2211582.16
Time Unit	ns
Iterations	50

0.10 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	95333.98
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

202.19 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	202194454.55
Time Unit	ns
Iterations	20

0.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	70466.95
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	2391.90
Time Unit	ns
Iterations	20

1.59 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1590151.20
Time Unit	ns
Iterations	20

message 2

round 3

17.32 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17320516.60
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2006.20
Time Unit	ns
Iterations	20

message 3

Output Round

0.13 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	127705.20
Time Unit	ns
Iterations	20

77.03 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	77031081.70
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

101.47 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	101470817.65
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	46715.20
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1744.35
Time Unit	ns
Iterations	20

0.38 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	375430.00
Time Unit	ns
Iterations	20

message 2

round 3

10.49 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10492661.85
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1407.75
Time Unit	ns
Iterations	20

message 3

Output Round

0.10 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	95351.60
Time Unit	ns
Iterations	20

85.91 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85912931.45
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

2.11 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	2113725.65
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	45856.35
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	1091.55
Time Unit	ns
Iterations	20

1.57 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1567702.30
Time Unit	ns
Iterations	20

message 2

round 3

1.95 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1947548.30
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2351.50
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	4172.15
Time Unit	ns
Iterations	20

42.87 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42873591.70
Time Unit	ns
Iterations	20

message 4

Output Round

23.71 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	23706525.60
Time Unit	ns
Iterations	20

0.09 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	87402.80
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

2.09 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	2088224.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	53652.80
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	852.50
Time Unit	ns
Iterations	20

2.00 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	2002940.30
Time Unit	ns
Iterations	20

message 2

round 3

2.86 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2858168.95
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2270.65
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	5087.95
Time Unit	ns
Iterations	20

166.51 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	166510208.50
Time Unit	ns
Iterations	20

message 4

Output Round

94.30 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	94299451.95
Time Unit	ns
Iterations	20

0.11 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	109704.30
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.77 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4769119.85
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	48394.65
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	908.65
Time Unit	ns
Iterations	20

4.87 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4867011.65
Time Unit	ns
Iterations	20

message 2

round 3

6.83 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	6832974.60
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	2303.85
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	5576.90
Time Unit	ns
Iterations	20

661.85 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	661850816.60
Time Unit	ns
Iterations	20

message 4

Output Round

374.45 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	374445621.55
Time Unit	ns
Iterations	20

0.18 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	180109.50
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.63 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1633341.15
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	47238.00
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	1079.90
Time Unit	ns
Iterations	20

1.55 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1546856.65
Time Unit	ns
Iterations	20

message 2

round 3

2.44 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	2437222.60
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2586.40
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	4192.40
Time Unit	ns
Iterations	20

13.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	13014026.40
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

2.11 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	2114792.40
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	54351.40
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	983.85
Time Unit	ns
Iterations	20

2.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	2008383.80
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	2868031.30
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	3177.95
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	4567.00
Time Unit	ns
Iterations	20

47.06 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	47064200.70
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

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

0.00 ms

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

Sign with Global Abort - #Msg=16

msg

Total Time

round 1

5.49 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	5485859.55
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	49190.30
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	1052.90
Time Unit	ns
Iterations	20

4.83 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4833445.85
Time Unit	ns
Iterations	20

message 2

round 3

6.88 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	6881321.05
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	2539.05
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/16
Real Time	6237.70
Time Unit	ns
Iterations	20

183.43 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	183434703.75
Time Unit	ns
Iterations	20

message 4

Output Round

0.00 ms

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

0.00 ms

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

Keygen

Total Time

round 1

0.26 ms

Name	Schnorr-MPC-KeyGen-MP/1/0
Real Time	264766.00
Time Unit	ns
Iterations	1

0.25 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	250023.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	224185.00
Time Unit	ns
Iterations	1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	235236.00
Time Unit	ns
Iterations	1

message 1

round 2

1.58 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1582452.00
Time Unit	ns
Iterations	1

1.69 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1688711.00
Time Unit	ns
Iterations	1

1.56 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1562766.00
Time Unit	ns
Iterations	1

1.61 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1612238.00
Time Unit	ns
Iterations	1

message 2

Output Round

20.56 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	20562120.00
Time Unit	ns
Iterations	1

20.50 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	20503220.00
Time Unit	ns
Iterations	1

20.52 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	20518268.00
Time Unit	ns
Iterations	1

20.57 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	20573007.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.80 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4795766.20
Time Unit	ns
Iterations	10

4.79 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4787885.60
Time Unit	ns
Iterations	10

4.77 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4774461.90
Time Unit	ns
Iterations	10

4.89 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4894722.40
Time Unit	ns
Iterations	10

message 1

round 2

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2631540.30
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2621202.70
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2619627.60
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2626011.70
Time Unit	ns
Iterations	10

message 2

Output Round

70.67 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	70668885.50
Time Unit	ns
Iterations	10

70.10 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	70102935.30
Time Unit	ns
Iterations	10

70.45 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	70446029.60
Time Unit	ns
Iterations	10

70.19 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	70189560.40
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.25 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	254249.60
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	261026.50
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	259932.30
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	261944.10
Time Unit	ns
Iterations	10

message 1

round 2

2.63 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2628447.20
Time Unit	ns
Iterations	10

2.75 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2753906.20
Time Unit	ns
Iterations	10

2.67 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2667349.70
Time Unit	ns
Iterations	10

2.67 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2670346.60
Time Unit	ns
Iterations	10

message 2

round 3

45.43 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	45430178.40
Time Unit	ns
Iterations	10

45.30 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	45298793.90
Time Unit	ns
Iterations	10

45.27 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	45265119.00
Time Unit	ns
Iterations	10

45.24 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	45236811.20
Time Unit	ns
Iterations	10

message 3

Output Round

0.62 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	623741.10
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	132296.50
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	133644.70
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	132150.10
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	182758.40
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	177966.40
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	173625.20
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	176292.30
Time Unit	ns
Iterations	10

message 1

round 2

1.33 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1325466.60
Time Unit	ns
Iterations	10

1.34 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1338662.10
Time Unit	ns
Iterations	10

1.34 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1336660.40
Time Unit	ns
Iterations	10

1.33 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1329432.60
Time Unit	ns
Iterations	10

message 2

Output Round

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3228321.70
Time Unit	ns
Iterations	10

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3231540.10
Time Unit	ns
Iterations	10

3.22 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3221300.70
Time Unit	ns
Iterations	10

3.35 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3347576.80
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.75 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4750696.70
Time Unit	ns
Iterations	10

4.73 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4725034.30
Time Unit	ns
Iterations	10

4.75 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4754918.90
Time Unit	ns
Iterations	10

4.76 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4763389.20
Time Unit	ns
Iterations	10

message 1

round 2

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1143430.60
Time Unit	ns
Iterations	10

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1142415.70
Time Unit	ns
Iterations	10

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1144616.80
Time Unit	ns
Iterations	10

1.15 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1154931.20
Time Unit	ns
Iterations	10

message 2

Output Round

10.98 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	10981218.30
Time Unit	ns
Iterations	10

10.98 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	10982131.60
Time Unit	ns
Iterations	10

10.99 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	10992157.00
Time Unit	ns
Iterations	10

12.10 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	12099589.40
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	217349.00
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	216260.30
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	223294.70
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	224018.90
Time Unit	ns
Iterations	10

message 1

round 2

69.62 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69618076.60
Time Unit	ns
Iterations	10

46.73 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46729957.80
Time Unit	ns
Iterations	10

24.13 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	24128373.30
Time Unit	ns
Iterations	10

1.44 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1436954.60
Time Unit	ns
Iterations	10

message 2

round 3

3.16 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3161261.00
Time Unit	ns
Iterations	10

96.14 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	96141451.30
Time Unit	ns
Iterations	10

189.38 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	189384826.30
Time Unit	ns
Iterations	10

281.17 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	281169501.20
Time Unit	ns
Iterations	10

message 3

round 4

71.33 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	71332747.10
Time Unit	ns
Iterations	10

51.25 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	51249963.80
Time Unit	ns
Iterations	10

29.25 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	29254265.10
Time Unit	ns
Iterations	10

6.56 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6556063.50
Time Unit	ns
Iterations	10

message 4

round 5

9.71 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9714138.50
Time Unit	ns
Iterations	10

12.17 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12170648.60
Time Unit	ns
Iterations	10

14.66 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	14664368.80
Time Unit	ns
Iterations	10

17.90 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17902022.30
Time Unit	ns
Iterations	10

message 5

round 6

11.24 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11238483.80
Time Unit	ns
Iterations	10

10.05 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10049142.00
Time Unit	ns
Iterations	10

8.93 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	8926214.80
Time Unit	ns
Iterations	10

7.75 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	7751711.10
Time Unit	ns
Iterations	10

message 6

round 7

21.50 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21498371.40
Time Unit	ns
Iterations	10

21.58 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	21582982.90
Time Unit	ns
Iterations	10

21.48 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21476333.00
Time Unit	ns
Iterations	10

21.59 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	21585040.50
Time Unit	ns
Iterations	10

message 7

round 8

9.64 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9641574.70
Time Unit	ns
Iterations	10

9.32 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9317225.80
Time Unit	ns
Iterations	10

9.28 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9277590.20
Time Unit	ns
Iterations	10

9.29 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9289837.60
Time Unit	ns
Iterations	10

message 8

round 9

2.82 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2823232.30
Time Unit	ns
Iterations	10

2.84 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2835130.10
Time Unit	ns
Iterations	10

2.73 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2733363.90
Time Unit	ns
Iterations	10

2.79 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2791789.80
Time Unit	ns
Iterations	10

message 9

Output Round

3.10 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	3096183.00
Time Unit	ns
Iterations	10

1.96 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1956076.10
Time Unit	ns
Iterations	10

2.31 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	2307211.50
Time Unit	ns
Iterations	10

2.21 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	2214552.90
Time Unit	ns
Iterations	10

Benchmark Context

Basic Operation

Big Number

Elliptic Curve

Crypto -- Symmetric

Symmetric

Crypto - Public Key Encryption

ElGamal Commitment

Paillier

TDH2

Crypto -- DRBG

String

Number

Curve

Commitment

HMAC

Pedersen

ElGamal

Secret Sharing

Shamir Secret Sharing

Horner's rule

Lagrange interpolation

Zero Knowledge

Non-interactive Zero Knowledge

Batched UC ZK-DL

Valid Paillier

Paillier Zero

Two Paillier Equal

Range Pedersen

Paillier Pedersen Equal

PVE (Publicly Verifiable Encryption)

PVE

OT (Oblivious Transfer)

Base OT

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

2PC - Agree Random / Sid Generation

EdDSA 2PC

ECDSA 2PC

EdDSA MPC

ECDSA MPC