Benchmark Context

Date: 2026-08-15T14:44:33+00:00
Commit: 41fee609ba4c5e110c8763ec138a4d9905570b97
Runner: Github Actions Ubuntu Virtual machine (16 GB RAM, SSD Storage, x64)
#CPU: Our benchmarks are single threaded
CPU mhz: 3280

Big Number

Operation \ Bit Length

256

512

1024

2048

4096

Mod Add

0.08 μs

Name	Core/BN/ModAdd/256
Real Time	82.35
Time Unit	ns
Iterations	8528185

0.11 μs

Name	Core/BN/ModAdd/512
Real Time	106.52
Time Unit	ns
Iterations	6577590

0.16 μs

Name	Core/BN/ModAdd/1024
Real Time	159.66
Time Unit	ns
Iterations	4336331

0.28 μs

Name	Core/BN/ModAdd/2048
Real Time	277.97
Time Unit	ns
Iterations	2522974

0.50 μs

Name	Core/BN/ModAdd/4096
Real Time	501.18
Time Unit	ns
Iterations	1389139

Mod Sub

0.08 μs

Name	Core/BN/ModSubtract/256
Real Time	82.71
Time Unit	ns
Iterations	8456587

0.11 μs

Name	Core/BN/ModSubtract/512
Real Time	108.35
Time Unit	ns
Iterations	6424692

0.17 μs

Name	Core/BN/ModSubtract/1024
Real Time	172.37
Time Unit	ns
Iterations	4027579

0.30 μs

Name	Core/BN/ModSubtract/2048
Real Time	299.53
Time Unit	ns
Iterations	2345640

0.57 μs

Name	Core/BN/ModSubtract/4096
Real Time	568.60
Time Unit	ns
Iterations	1232603

Mod Mul

0.18 μs

Name	Core/BN/ModMultiply/256
Real Time	175.77
Time Unit	ns
Iterations	3988319

0.33 μs

Name	Core/BN/ModMultiply/512
Real Time	327.62
Time Unit	ns
Iterations	2134961

0.87 μs

Name	Core/BN/ModMultiply/1024
Real Time	869.56
Time Unit	ns
Iterations	811054

2.85 μs

Name	Core/BN/ModMultiply/2048
Real Time	2853.68
Time Unit	ns
Iterations	245235

11.18 μs

Name	Core/BN/ModMultiply/4096
Real Time	11181.01
Time Unit	ns
Iterations	62500

Mod Exponentiate

16.34 μs

Name	Core/BN/ModExponentiate/256
Real Time	16335.84
Time Unit	ns
Iterations	42801

42.20 μs

Name	Core/BN/ModExponentiate/512
Real Time	42204.49
Time Unit	ns
Iterations	16597

310.96 μs

Name	Core/BN/ModExponentiate/1024
Real Time	310958.71
Time Unit	ns
Iterations	2249

2213.02 μs

Name	Core/BN/ModExponentiate/2048
Real Time	2213018.13
Time Unit	ns
Iterations	317

16537.84 μs

Name	Core/BN/ModExponentiate/4096
Real Time	16537836.40
Time Unit	ns
Iterations	42

Mod Invert

16.99 μs

Name	Core/BN/ModInvert/256
Real Time	16988.99
Time Unit	ns
Iterations	41161

36.09 μs

Name	Core/BN/ModInvert/512
Real Time	36094.88
Time Unit	ns
Iterations	19434

83.34 μs

Name	Core/BN/ModInvert/1024
Real Time	83340.62
Time Unit	ns
Iterations	8399

217.02 μs

Name	Core/BN/ModInvert/2048
Real Time	217024.85
Time Unit	ns
Iterations	3224

663.76 μs

Name	Core/BN/ModInvert/4096
Real Time	663763.90
Time Unit	ns
Iterations	978

GCD

23.58 μs

Name	Core/BN/GCD/256
Real Time	23581.85
Time Unit	ns
Iterations	29301

53.88 μs

Name	Core/BN/GCD/512
Real Time	53879.71
Time Unit	ns
Iterations	13115

133.24 μs

Name	Core/BN/GCD/1024
Real Time	133236.68
Time Unit	ns
Iterations	5380

371.39 μs

Name	Core/BN/GCD/2048
Real Time	371392.81
Time Unit	ns
Iterations	1816

1218.98 μs

Name	Core/BN/GCD/4096
Real Time	1218977.11
Time Unit	ns
Iterations	575

GCD with RSA Modulus

24.18 μs

Name	Core/BN/GCD-RSA-Modulus/256
Real Time	24183.92
Time Unit	ns
Iterations	29057

53.60 μs

Name	Core/BN/GCD-RSA-Modulus/512
Real Time	53601.18
Time Unit	ns
Iterations	12990

134.40 μs

Name	Core/BN/GCD-RSA-Modulus/1024
Real Time	134402.55
Time Unit	ns
Iterations	5267

370.89 μs

Name	Core/BN/GCD-RSA-Modulus/2048
Real Time	370890.10
Time Unit	ns
Iterations	1883

1227.29 μs

Name	Core/BN/GCD-RSA-Modulus/4096
Real Time	1227292.21
Time Unit	ns
Iterations	570

Batch(16) GCD with RSA Modulus

27.08 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/256
Real Time	27078.92
Time Unit	ns
Iterations	25837

58.58 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/512
Real Time	58583.46
Time Unit	ns
Iterations	11921

144.09 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/1024
Real Time	144093.36
Time Unit	ns
Iterations	4833

426.80 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/2048
Real Time	426797.07
Time Unit	ns
Iterations	1690

1392.94 μs

Name	Core/BN/GCD-Batch(16)RSA-Modulus/4096
Real Time	1392938.15
Time Unit	ns
Iterations	500

Elliptic Curve

Operation \ Curve

secp256k1

Ed25519

Add

0.36 μs

Name	Core/EC/Add/secp256k1
Real Time	356.76
Time Unit	ns
Iterations	1960000

0.37 μs

Name	Core/EC/Add/Ed25519
Real Time	372.65
Time Unit	ns
Iterations	1888933

Add (Constant Time)

2.25 μs

Name	Core/EC/Add_CT/secp256k1
Real Time	2248.18
Time Unit	ns
Iterations	312232

0.37 μs

Name	Core/EC/Add_CT/Ed25519
Real Time	369.93
Time Unit	ns
Iterations	1885407

Multiply

41.25 μs

Name	Core/EC/Multiply/secp256k1
Real Time	41246.18
Time Unit	ns
Iterations	16958

65.47 μs

Name	Core/EC/Multiply/Ed25519
Real Time	65470.63
Time Unit	ns
Iterations	10679

Multiply (Variable Time)

32.80 μs

Name	Core/EC/Multiply_VT/secp256k1
Real Time	32799.15
Time Unit	ns
Iterations	21325

60.83 μs

Name	Core/EC/Multiply_VT/Ed25519
Real Time	60828.86
Time Unit	ns
Iterations	11375

Multiply Generator

19.93 μs

Name	Core/EC/Multiply_G/secp256k1
Real Time	19930.89
Time Unit	ns
Iterations	35139

14.27 μs

Name	Core/EC/Multiply_G/Ed25519
Real Time	14268.61
Time Unit	ns
Iterations	48809

Multipliply Generator (Variable Time)

19.99 μs

Name	Core/EC/Multiply_G_VT/secp256k1
Real Time	19994.34
Time Unit	ns
Iterations	35009

7.22 μs

Name	Core/EC/Multiply_G_VT/Ed25519
Real Time	7218.45
Time Unit	ns
Iterations	96720

MulAdd

63.60 μs

Name	Core/EC/MulAdd/secp256k1
Real Time	63596.17
Time Unit	ns
Iterations	10969

80.13 μs

Name	Core/EC/MulAdd/Ed25519
Real Time	80133.50
Time Unit	ns
Iterations	8749

Symmetric

Operation \ #Blocks

256

1024

4096

SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.34 μs

Name	Core/Hash/SHA256/16
Real Time	343.30
Time Unit	ns
Iterations	1955759

0.38 μs

Name	Core/Hash/SHA256/64
Real Time	379.93
Time Unit	ns
Iterations	1805315

0.50 μs

Name	Core/Hash/SHA256/256
Real Time	504.24
Time Unit	ns
Iterations	1000000

0.99 μs

Name	Core/Hash/SHA256/1024
Real Time	985.25
Time Unit	ns
Iterations	698841

2.97 μs

Name	Core/Hash/SHA256/4096
Real Time	2965.90
Time Unit	ns
Iterations	240519

HMAC-SHA256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

1.12 μs

Name	Core/Hash/HMAC-SHA256/16
Real Time	1122.54
Time Unit	ns
Iterations	626625

1.15 μs

Name	Core/Hash/HMAC-SHA256/64
Real Time	1148.16
Time Unit	ns
Iterations	611363

1.26 μs

Name	Core/Hash/HMAC-SHA256/256
Real Time	1261.51
Time Unit	ns
Iterations	555567

1.75 μs

Name	Core/Hash/HMAC-SHA256/1024
Real Time	1748.58
Time Unit	ns
Iterations	398162

3.67 μs

Name	Core/Hash/HMAC-SHA256/4096
Real Time	3674.92
Time Unit	ns
Iterations	190638

AES-GCM-128

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.94 μs

Name	Core/Hash/AES-GCM-128/1024
Real Time	943.15
Time Unit	ns
Iterations	743021

1.65 μs

Name	Core/Hash/AES-GCM-128/4096
Real Time	1650.08
Time Unit	ns
Iterations	424650

AES-GCM-256

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

0.98 μs

Name	Core/Hash/AES-GCM-256/1024
Real Time	983.29
Time Unit	ns
Iterations	710058

1.76 μs

Name	Core/Hash/AES-GCM-256/4096
Real Time	1755.85
Time Unit	ns
Iterations	398707

ElGamal Commitment

Operation \ Curve

secp256k1

Ed25519

Trusted Key Gen

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Commit

84.86 μs

Name	BP/ElGamal/Commit/3
Real Time	84863.75
Time Unit	ns
Iterations	8249

96.23 μs

Name	BP/ElGamal/Commit/4
Real Time	96232.57
Time Unit	ns
Iterations	7275

Rerand

65.94 μs

Name	BP/ElGamal/Rerand/3
Real Time	65940.80
Time Unit	ns
Iterations	10620

80.62 μs

Name	BP/ElGamal/Rerand/4
Real Time	80616.69
Time Unit	ns
Iterations	8683

Add

4.56 μs

Name	BP/ElGamal/Add/3
Real Time	4555.72
Time Unit	ns
Iterations	153863

0.80 μs

Name	BP/ElGamal/Add/4
Real Time	796.22
Time Unit	ns
Iterations	880971

Add Scalar

20.61 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20614.73
Time Unit	ns
Iterations	33801

7.86 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7861.92
Time Unit	ns
Iterations	88789

Mul Scalar

83.08 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83081.30
Time Unit	ns
Iterations	8426

131.77 μs

Name	BP/ElGamal/MulScalar/4
Real Time	131767.62
Time Unit	ns
Iterations	5336

Paillier

Operation \ Bit length

2048 bits

Generate Key

60.35 ms

Name	BP/Paillier/Gen
Real Time	60345560.09
Time Unit	ns
Iterations	11

Encrypt (with private key)

4.52 ms

Name	BP/Paillier/Enc
Real Time	4521827.46
Time Unit	ns
Iterations	155

Encrypt

8.58 ms

Name	BP/Paillier/Pub-Enc
Real Time	8579227.17
Time Unit	ns
Iterations	81

Decrypt

4.74 ms

Name	BP/Paillier/Dec
Real Time	4739342.83
Time Unit	ns
Iterations	148

Addition

0.01 ms

Name	BP/Paillier/Add
Real Time	11279.62
Time Unit	ns
Iterations	62060

Add-Scalar

0.01 ms

Name	BP/Paillier/Add-Scalar
Real Time	13613.30
Time Unit	ns
Iterations	51659

Mul-Scalar

8.33 ms

Name	BP/Paillier/Mul-Scalar
Real Time	8327234.54
Time Unit	ns
Iterations	84

TDH2

n / plaintext size

4, 256

30, 256

4, 65536

30, 65536

Encrypt

189.54 μs

Name	tdh2-encrypt-1P/4/256
Real Time	189541.89
Time Unit	ns
Iterations	3693

189.14 μs

Name	tdh2-encrypt-1P/30/256
Real Time	189139.28
Time Unit	ns
Iterations	3692

270.25 μs

Name	tdh2-encrypt-1P/4/65536
Real Time	270253.16
Time Unit	ns
Iterations	2595

269.10 μs

Name	tdh2-encrypt-1P/30/65536
Real Time	269101.93
Time Unit	ns
Iterations	2594

Verify

201.05 μs

Name	tdh2-verify-1P/4/256
Real Time	201050.63
Time Unit	ns
Iterations	3484

222.69 μs

Name	tdh2-verify-1P/30/256
Real Time	222685.70
Time Unit	ns
Iterations	2654

285.36 μs

Name	tdh2-verify-1P/4/65536
Real Time	285357.10
Time Unit	ns
Iterations	2642

243.23 μs

Name	tdh2-verify-1P/30/65536
Real Time	243234.70
Time Unit	ns
Iterations	2290

Local Decrypt

322.08 μs

Name	tdh2-local-decrypt-1P/4/256
Real Time	322084.39
Time Unit	ns
Iterations	1824

343.36 μs

Name	tdh2-local-decrypt-1P/30/256
Real Time	343357.42
Time Unit	ns
Iterations	2170

364.05 μs

Name	tdh2-local-decrypt-1P/4/65536
Real Time	364045.99
Time Unit	ns
Iterations	1814

385.85 μs

Name	tdh2-local-decrypt-1P/30/65536
Real Time	385847.45
Time Unit	ns
Iterations	1924

Combine

940.30 μs

Name	tdh2-combine-1P/4/256
Real Time	940296.20
Time Unit	ns
Iterations	729

5421.07 μs

Name	tdh2-combine-1P/30/256
Real Time	5421070.94
Time Unit	ns
Iterations	130

1001.48 μs

Name	tdh2-combine-1P/4/65536
Real Time	1001477.77
Time Unit	ns
Iterations	700

5472.77 μs

Name	tdh2-combine-1P/30/65536
Real Time	5472769.13
Time Unit	ns
Iterations	128

String

Bit Length

1024

2048

4096

8192

16384

32768

65536

131072

262144

DRBG-String

1.39 μs

Name	Crypto/DRBG/String/1024
Real Time	1391.27
Time Unit	ns
Iterations	507037

1.44 μs

Name	Crypto/DRBG/String/2048
Real Time	1438.32
Time Unit	ns
Iterations	486415

1.54 μs

Name	Crypto/DRBG/String/4096
Real Time	1542.35
Time Unit	ns
Iterations	453682

1.77 μs

Name	Crypto/DRBG/String/8192
Real Time	1766.53
Time Unit	ns
Iterations	396235

2.26 μs

Name	Crypto/DRBG/String/16384
Real Time	2258.63
Time Unit	ns
Iterations	310635

3.21 μs

Name	Crypto/DRBG/String/32768
Real Time	3206.57
Time Unit	ns
Iterations	217848

5.03 μs

Name	Crypto/DRBG/String/65536
Real Time	5031.21
Time Unit	ns
Iterations	138889

8.79 μs

Name	Crypto/DRBG/String/131072
Real Time	8792.47
Time Unit	ns
Iterations	80928

16.05 μs

Name	Crypto/DRBG/String/262144
Real Time	16047.91
Time Unit	ns
Iterations	43168

Number

Bit Length

256

512

1024

2048

4096

DRBG-Number

1.65 μs

Name	Crypto/DRBG/Number/256
Real Time	1649.04
Time Unit	ns
Iterations	422649

1.75 μs

Name	Crypto/DRBG/Number/512
Real Time	1747.58
Time Unit	ns
Iterations	399916

1.95 μs

Name	Crypto/DRBG/Number/1024
Real Time	1952.66
Time Unit	ns
Iterations	360554

2.32 μs

Name	Crypto/DRBG/Number/2048
Real Time	2323.67
Time Unit	ns
Iterations	300522

3.10 μs

Name	Crypto/DRBG/Number/4096
Real Time	3102.01
Time Unit	ns
Iterations	224995

Curve

secp256k1

Ed25519

DRBG-Curve

21.91 μs

Name	Crypto/DRBG/Curve/3
Real Time	21914.74
Time Unit	ns
Iterations	31943

16.33 μs

Name	Crypto/DRBG/Curve/4
Real Time	16325.15
Time Unit	ns
Iterations	42996

HMAC

#big number

Commit

2.43 μs

Name	Crypto/Commitment/ComBn/2
Real Time	2426.54
Time Unit	ns
Iterations	289665

2.67 μs

Name	Crypto/Commitment/ComBn/4
Real Time	2665.85
Time Unit	ns
Iterations	262194

2.97 μs

Name	Crypto/Commitment/ComBn/6
Real Time	2967.35
Time Unit	ns
Iterations	234857

3.23 μs

Name	Crypto/Commitment/ComBn/8
Real Time	3227.40
Time Unit	ns
Iterations	216490

3.47 μs

Name	Crypto/Commitment/ComBn/10
Real Time	3469.61
Time Unit	ns
Iterations	202485

3.71 μs

Name	Crypto/Commitment/ComBn/12
Real Time	3712.79
Time Unit	ns
Iterations	188401

3.97 μs

Name	Crypto/Commitment/ComBn/14
Real Time	3967.91
Time Unit	ns
Iterations	176423

4.23 μs

Name	Crypto/Commitment/ComBn/16
Real Time	4233.65
Time Unit	ns
Iterations	165741

4.46 μs

Name	Crypto/Commitment/ComBn/18
Real Time	4460.75
Time Unit	ns
Iterations	157039

4.75 μs

Name	Crypto/Commitment/ComBn/20
Real Time	4748.62
Time Unit	ns
Iterations	147823

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

84.86 μs

Name	BP/ElGamal/Commit/3
Real Time	84863.75
Time Unit	ns
Iterations	8249

96.23 μs

Name	BP/ElGamal/Commit/4
Real Time	96232.57
Time Unit	ns
Iterations	7275

Rerand

65.94 μs

Name	BP/ElGamal/Rerand/3
Real Time	65940.80
Time Unit	ns
Iterations	10620

80.62 μs

Name	BP/ElGamal/Rerand/4
Real Time	80616.69
Time Unit	ns
Iterations	8683

Add

4.56 μs

Name	BP/ElGamal/Add/3
Real Time	4555.72
Time Unit	ns
Iterations	153863

0.80 μs

Name	BP/ElGamal/Add/4
Real Time	796.22
Time Unit	ns
Iterations	880971

Add Scalar

20.61 μs

Name	BP/ElGamal/AddScalar/3
Real Time	20614.73
Time Unit	ns
Iterations	33801

7.86 μs

Name	BP/ElGamal/AddScalar/4
Real Time	7861.92
Time Unit	ns
Iterations	88789

Mul Scalar

83.08 μs

Name	BP/ElGamal/MulScalar/3
Real Time	83081.30
Time Unit	ns
Iterations	8426

131.77 μs

Name	BP/ElGamal/MulScalar/4
Real Time	131767.62
Time Unit	ns
Iterations	5336

Shamir Secret Sharing

m\n

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Horner's rule

m\n

256 bit field

0.60 μs

Name	BP/Share/Horner/3
Real Time	599.18
Time Unit	ns
Iterations	1165601

0.87 μs

Name	BP/Share/Horner/4
Real Time	869.61
Time Unit	ns
Iterations	803141

1.42 μs

Name	BP/Share/Horner/6
Real Time	1417.67
Time Unit	ns
Iterations	489559

1.96 μs

Name	BP/Share/Horner/8
Real Time	1959.15
Time Unit	ns
Iterations	357695

2.50 μs

Name	BP/Share/Horner/10
Real Time	2500.12
Time Unit	ns
Iterations	280370

4.13 μs

Name	BP/Share/Horner/16
Real Time	4132.05
Time Unit	ns
Iterations	169300

8.46 μs

Name	BP/Share/Horner/32
Real Time	8457.79
Time Unit	ns
Iterations	83003

secp256k1

83.75 μs

Name	BP/Share/ECHorner/3/3
Real Time	83751.33
Time Unit	ns
Iterations	8362

125.56 μs

Name	BP/Share/ECHorner/3/4
Real Time	125558.63
Time Unit	ns
Iterations	5567

209.40 μs

Name	BP/Share/ECHorner/3/6
Real Time	209401.85
Time Unit	ns
Iterations	3342

294.33 μs

Name	BP/Share/ECHorner/3/8
Real Time	294326.40
Time Unit	ns
Iterations	2388

376.69 μs

Name	BP/Share/ECHorner/3/10
Real Time	376689.38
Time Unit	ns
Iterations	1854

627.91 μs

Name	BP/Share/ECHorner/3/16
Real Time	627910.43
Time Unit	ns
Iterations	1102

1297.97 μs

Name	BP/Share/ECHorner/3/32
Real Time	1297971.24
Time Unit	ns
Iterations	539

Ed25519

131.72 μs

Name	BP/Share/ECHorner/4/3
Real Time	131716.77
Time Unit	ns
Iterations	5321

197.52 μs

Name	BP/Share/ECHorner/4/4
Real Time	197521.52
Time Unit	ns
Iterations	3548

329.04 μs

Name	BP/Share/ECHorner/4/6
Real Time	329038.10
Time Unit	ns
Iterations	2128

460.79 μs

Name	BP/Share/ECHorner/4/8
Real Time	460789.47
Time Unit	ns
Iterations	1520

592.46 μs

Name	BP/Share/ECHorner/4/10
Real Time	592459.90
Time Unit	ns
Iterations	1182

989.66 μs

Name	BP/Share/ECHorner/4/16
Real Time	989660.73
Time Unit	ns
Iterations	708

2043.14 μs

Name	BP/Share/ECHorner/4/32
Real Time	2043143.85
Time Unit	ns
Iterations	343

Lagrange interpolation

m\n

256 bit field

40.35 μs

Name	BP/Share/Lagrange/3
Real Time	40348.26
Time Unit	ns
Iterations	17684

59.85 μs

Name	BP/Share/Lagrange/4
Real Time	59848.67
Time Unit	ns
Iterations	11819

102.71 μs

Name	BP/Share/Lagrange/6
Real Time	102709.46
Time Unit	ns
Iterations	6828

155.87 μs

Name	BP/Share/Lagrange/8
Real Time	155865.61
Time Unit	ns
Iterations	4535

221.34 μs

Name	BP/Share/Lagrange/10
Real Time	221343.85
Time Unit	ns
Iterations	3224

457.48 μs

Name	BP/Share/Lagrange/16
Real Time	457483.27
Time Unit	ns
Iterations	1532

1431.75 μs

Name	BP/Share/Lagrange/32
Real Time	1431747.30
Time Unit	ns
Iterations	494

secp256k1

138.92 μs

Name	BP/Share/ECLagrange/3/3
Real Time	138916.47
Time Unit	ns
Iterations	4988

188.94 μs

Name	BP/Share/ECLagrange/3/4
Real Time	188938.74
Time Unit	ns
Iterations	3661

301.87 μs

Name	BP/Share/ECLagrange/3/6
Real Time	301872.49
Time Unit	ns
Iterations	2316

424.25 μs

Name	BP/Share/ECLagrange/3/8
Real Time	424249.00
Time Unit	ns
Iterations	1653

562.61 μs

Name	BP/Share/ECLagrange/3/10
Real Time	562608.38
Time Unit	ns
Iterations	1244

1010.24 μs

Name	BP/Share/ECLagrange/3/16
Real Time	1010237.33
Time Unit	ns
Iterations	691

2580.72 μs

Name	BP/Share/ECLagrange/3/32
Real Time	2580724.63
Time Unit	ns
Iterations	271

Ed25519

224.07 μs

Name	BP/Share/ECLagrange/4/3
Real Time	224072.71
Time Unit	ns
Iterations	3117

303.55 μs

Name	BP/Share/ECLagrange/4/4
Real Time	303550.31
Time Unit	ns
Iterations	2314

469.19 μs

Name	BP/Share/ECLagrange/4/6
Real Time	469185.11
Time Unit	ns
Iterations	1494

644.62 μs

Name	BP/Share/ECLagrange/4/8
Real Time	644621.80
Time Unit	ns
Iterations	1081

831.22 μs

Name	BP/Share/ECLagrange/4/10
Real Time	831215.63
Time Unit	ns
Iterations	844

1435.31 μs

Name	BP/Share/ECLagrange/4/16
Real Time	1435308.66
Time Unit	ns
Iterations	488

3384.19 μs

Name	BP/Share/ECLagrange/4/32
Real Time	3384191.62
Time Unit	ns
Iterations	208

Non-interactive Zero Knowledge

Protocol

Prover

Verifer

Proof Size

UC DL (secp256k1)

0.99 ms

Name	ZK/DL/Prover/3
Real Time	989333.04
Time Unit	ns
Iterations	707

0.77 ms

Name	ZK/DL/Verify/3
Real Time	765002.64
Time Unit	ns
Iterations	922

2.31 KB

Name
Real Time
Time Unit
Iterations

UC DL (Ed25519)

0.91 ms

Name	ZK/DL/Prover/4
Real Time	912366.09
Time Unit	ns
Iterations	771

3.38 ms

Name	ZK/DL/Verify/4
Real Time	3379259.60
Time Unit	ns
Iterations	207

2.28 KB

Name
Real Time
Time Unit
Iterations

DH (secp256k1)

0.08 ms

Name	ZK/DH/Prove/3
Real Time	77440.23
Time Unit	ns
Iterations	9043

0.14 ms

Name	ZK/DH/Verify/3
Real Time	139409.63
Time Unit	ns
Iterations	5017

0.07 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com (secp256k1)

2.78 ms

Name	ZK/ElGamalCom/Prover/3
Real Time	2782054.69
Time Unit	ns
Iterations	250

1.07 ms

Name	ZK/ElGamalCom/Verify/3
Real Time	1067847.15
Time Unit	ns
Iterations	655

3.09 KB

Name
Real Time
Time Unit
Iterations

ElGamal Public Share Equal (secp256k1)

0.08 ms

Name	ZK/ElGamalPubShareEqual/Prover/3
Real Time	77827.00
Time Unit	ns
Iterations	8999

0.15 ms

Name	ZK/ElGamalPubShareEqual/Verify/3
Real Time	145064.95
Time Unit	ns
Iterations	4879

0.07 KB

Name
Real Time
Time Unit
Iterations

ElGamal Com Mult (secp256k1)

0.26 ms

Name	ZK/ElGamalComMult/Prover/3
Real Time	262582.87
Time Unit	ns
Iterations	2679

0.35 ms

Name	ZK/ElGamalComMult/Verify/3
Real Time	353302.90
Time Unit	ns
Iterations	2002

0.13 KB

Name
Real Time
Time Unit
Iterations

UC ElGamal Com Mult Private Scalar (secp256k1)

4.30 ms

Name	ZK/UCElGamalComMultPrivScalar/Prover/3
Real Time	4300230.86
Time Unit	ns
Iterations	162

0.99 ms

Name	ZK/UCElGamalComMultPrivScalar/Verify/3
Real Time	992282.14
Time Unit	ns
Iterations	704

2.67 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

23.50 ms

Name	ZK/ValidPaillier/Prover
Real Time	23496776.20
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22592891.16
Time Unit	ns
Iterations	31

2.58 KB

Name
Real Time
Time Unit
Iterations

Paillier Zero

92.62 ms

Name	ZK/PaillierZero/Prover
Real Time	92615396.62
Time Unit	ns
Iterations	8

87.81 ms

Name	ZK/PaillierZero/Verify
Real Time	87808533.38
Time Unit	ns
Iterations	8

2.60 KB

Name
Real Time
Time Unit
Iterations

Two Paillier Equal

90.86 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90858126.62
Time Unit	ns
Iterations	8

185.41 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	185406096.75
Time Unit	ns
Iterations	4

5.61 KB

Name
Real Time
Time Unit
Iterations

Range Pedersen (secp256k1)

331.82 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331819524.00
Time Unit	ns
Iterations	2

17.50 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17502367.62
Time Unit	ns
Iterations	40

71.31 KB

Name
Real Time
Time Unit
Iterations

Paillier Pedersen Equal (secp256k1)

48.25 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48250513.73
Time Unit	ns
Iterations	15

99.76 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99761190.57
Time Unit	ns
Iterations	7

3.54 KB

Name
Real Time
Time Unit
Iterations

Paillier Range Exp Slack (secp256k1)

382.75 ms

Name	ZK/PaillierRangeExpSlack/Prover/3
Real Time	382750478.50
Time Unit	ns
Iterations	2

117.27 ms

Name	ZK/PaillierRangeExpSlack/Verify/3
Real Time	117273386.17
Time Unit	ns
Iterations	6

75.11 KB

Name
Real Time
Time Unit
Iterations

PDL

387.46 ms

Name	ZK/PDL/Prover
Real Time	387460598.50
Time Unit	ns
Iterations	2

127.54 ms

Name	ZK/PDL/Verify
Real Time	127541121.80
Time Unit	ns
Iterations	5

75.99 KB

Name
Real Time
Time Unit
Iterations

Unknown Order DL

297.45 ms

Name	ZK/UnknownOrderDL/Prove
Real Time	297448053.00
Time Unit	ns
Iterations	2

299.10 ms

Name	ZK/UnknownOrderDL/Verify
Real Time	299102830.00
Time Unit	ns
Iterations	2

34.13 KB

Name
Real Time
Time Unit
Iterations

Batched UC ZK-DL

Protocol

Prover

Verifer

Proof Size

secp256k1, n = 1

0.99 ms

Name	ZK/DL/Prover/3
Real Time	989333.04
Time Unit	ns
Iterations	707

0.77 ms

Name	ZK/DL/Verify/3
Real Time	765002.64
Time Unit	ns
Iterations	922

2.31 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 4

1.61 ms

Name	ZK/Batch-DL/Prover/3/4
Real Time	1610442.59
Time Unit	ns
Iterations	433

1.55 ms

Name	ZK/Batch-DL/Verify/3/4
Real Time	1545535.97
Time Unit	ns
Iterations	460

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 16

3.61 ms

Name	ZK/Batch-DL/Prover/3/16
Real Time	3605381.82
Time Unit	ns
Iterations	195

2.94 ms

Name	ZK/Batch-DL/Verify/3/16
Real Time	2936002.21
Time Unit	ns
Iterations	243

3.11 KB

Name
Real Time
Time Unit
Iterations

secp256k1, n = 64

10.08 ms

Name	ZK/Batch-DL/Prover/3/64
Real Time	10077897.60
Time Unit	ns
Iterations	70

13.09 ms

Name	ZK/Batch-DL/Verify/3/64
Real Time	13085072.46
Time Unit	ns
Iterations	52

4.62 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 1

0.91 ms

Name	ZK/DL/Prover/4
Real Time	912366.09
Time Unit	ns
Iterations	771

3.38 ms

Name	ZK/DL/Verify/4
Real Time	3379259.60
Time Unit	ns
Iterations	207

2.28 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 4

1.52 ms

Name	ZK/Batch-DL/Prover/4/4
Real Time	1518829.00
Time Unit	ns
Iterations	456

2.58 ms

Name	ZK/Batch-DL/Verify/4/4
Real Time	2583719.76
Time Unit	ns
Iterations	276

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 16

3.52 ms

Name	ZK/Batch-DL/Prover/4/16
Real Time	3517554.46
Time Unit	ns
Iterations	200

4.79 ms

Name	ZK/Batch-DL/Verify/4/16
Real Time	4787003.81
Time Unit	ns
Iterations	149

3.06 KB

Name
Real Time
Time Unit
Iterations

Ed25519, n = 64

10.41 ms

Name	ZK/Batch-DL/Prover/4/64
Real Time	10407713.68
Time Unit	ns
Iterations	65

18.87 ms

Name	ZK/Batch-DL/Verify/4/64
Real Time	18874762.17
Time Unit	ns
Iterations	35

4.55 KB

Name
Real Time
Time Unit
Iterations

Valid Paillier

Challenge

Challenge Size

Prove

Size

Verify

P Total

V Total

Interactive

0.00 ms

Name	ZK/ValidPaillier-Int/V1
Real Time	532.27
Time Unit	ns
Iterations	1315602

0.02 KB

Name
Real Time
Time Unit
Iterations

9.75 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9754473.65
Time Unit	ns
Iterations	72

1.03 KB

Name
Real Time
Time Unit
Iterations

9.33 ms

Name	ZK/ValidPaillier-Int/Verify
Real Time	9329285.44
Time Unit	ns
Iterations	75

9.75 ms

Name	ZK/ValidPaillier-Int/P2
Real Time	9754473.65
Time Unit	ns
Iterations	72

9.33 ms

Name	sum
Real Time	9329817.71
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

23.50 ms

Name	ZK/ValidPaillier/Prover
Real Time	23496776.20
Time Unit	ns
Iterations	30

22.59 ms

Name	ZK/ValidPaillier/Verify
Real Time	22592891.16
Time Unit	ns
Iterations	31

Paillier Zero

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Name
Real Time
Time Unit
Iterations

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

92.62 ms

Name	ZK/PaillierZero/Prover
Real Time	92615396.62
Time Unit	ns
Iterations	8

87.81 ms

Name	ZK/PaillierZero/Verify
Real Time	87808533.38
Time Unit	ns
Iterations	8

Two Paillier Equal

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive

35.62 ms

Name	ZK/TwoPaillierEqual-Int/P1
Real Time	35616725.50
Time Unit	ns
Iterations	20

0.00 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/TwoPaillierEqual-Int/V2
Real Time	643.67
Time Unit	ns
Iterations	1082897

0.00 KB

Name
Real Time
Time Unit
Iterations

0.71 ms

Name	ZK/TwoPaillierEqual-Int/P3
Real Time	706810.61
Time Unit	ns
Iterations	991

0.00 KB

Name
Real Time
Time Unit
Iterations

74.37 ms

Name	ZK/TwoPaillierEqual-Int/Verify
Real Time	74370209.22
Time Unit	ns
Iterations	9

36.32 ms

Name	sum
Real Time	36323536.11
Time Unit	ns
Iterations	-1

74.37 ms

Name	sum
Real Time	74370852.89
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

90.86 ms

Name	ZK/TwoPaillierEqual/Prover
Real Time	90858126.62
Time Unit	ns
Iterations	8

185.41 ms

Name	ZK/TwoPaillierEqual/Verify
Real Time	185406096.75
Time Unit	ns
Iterations	4

Range Pedersen

Protocol

Prove Msg1

Size

Challenge

Challenge Size

Prove Msg2

Size

Verify

P Total

V Total

Interactive - secp256k1

129.68 ms

Name	ZK/RangePedersenInt/P1/3
Real Time	129680532.20
Time Unit	ns
Iterations	5

0.05 KB

Name
Real Time
Time Unit
Iterations

0.00 ms

Name	ZK/RangePedersenInt/V2/3
Real Time	557.18
Time Unit	ns
Iterations	1247820

0.01 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/P3/3
Real Time	8376.09
Time Unit	ns
Iterations	80320

27.88 KB

Name
Real Time
Time Unit
Iterations

0.01 ms

Name	ZK/RangePedersenInt/Verify/3
Real Time	8030.47
Time Unit	ns
Iterations	75573

129.69 ms

Name	sum
Real Time	129688908.29
Time Unit	ns
Iterations	-1

0.01 ms

Name	sum
Real Time	8587.66
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

331.82 ms

Name	ZK/RangePedersen/Prover/3
Real Time	331819524.00
Time Unit	ns
Iterations	2

17.50 ms

Name	ZK/RangePedersen/Verify/3
Real Time	17502367.62
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

20.51 ms

Name	ZK/PaillierPedersenEq-Int/P1/3
Real Time	20512756.47
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	689.82
Time Unit	ns
Iterations	1016617

0.01 KB

Name
Real Time
Time Unit
Iterations

0.36 ms

Name	ZK/PaillierPedersenEq-Int/P3/3
Real Time	355456.33
Time Unit	ns
Iterations	1969

3.81 KB

Name
Real Time
Time Unit
Iterations

43.91 ms

Name	ZK/PaillierPedersenEq-Int/Verifier/3
Real Time	43914457.00
Time Unit	ns
Iterations	16

20.87 ms

Name	sum
Real Time	20868212.81
Time Unit	ns
Iterations	-1

43.92 ms

Name	sum
Real Time	43915146.82
Time Unit	ns
Iterations	-1

Non-Interactive

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

N/A

Name
Real Time
Time Unit
Iterations

48.25 ms

Name	ZK/PaillierPedersenEq/Prover/3
Real Time	48250513.73
Time Unit	ns
Iterations	15

99.76 ms

Name	ZK/PaillierPedersenEq/Verify/3
Real Time	99761190.57
Time Unit	ns
Iterations	7

PVE

Protocols \ Operations

Encrypt

Verify

Decrypt

Basic - RSA2048

10.84 ms

Name	PVE/vencrypt/Encrypt/0
Real Time	10838262.83
Time Unit	ns
Iterations	65

6.63 ms

Name	PVE/vencrypt/Verify/0
Real Time	6626765.01
Time Unit	ns
Iterations	106

7.36 ms

Name	PVE/vencrypt/Decrypt/0
Real Time	7361749.89
Time Unit	ns
Iterations	95

Batch(4) - RSA2048

18.52 ms

Name	PVE/vencrypt-batch/Encrypt/0/4
Real Time	18516546.84
Time Unit	ns
Iterations	38

13.99 ms

Name	PVE/vencrypt-batch/Verify/0/4
Real Time	13988046.32
Time Unit	ns
Iterations	50

14.77 ms

Name	PVE/vencrypt-batch/Decrypt/0/4
Real Time	14768093.77
Time Unit	ns
Iterations	47

Batch(16) - RSA2048

48.11 ms

Name	PVE/vencrypt-batch/Encrypt/0/16
Real Time	48110962.53
Time Unit	ns
Iterations	15

43.20 ms

Name	PVE/vencrypt-batch/Verify/0/16
Real Time	43203234.00
Time Unit	ns
Iterations	16

43.80 ms

Name	PVE/vencrypt-batch/Decrypt/0/16
Real Time	43802820.81
Time Unit	ns
Iterations	16

Basic - P-256

23.61 ms

Name	PVE/vencrypt/Encrypt/1
Real Time	23607945.17
Time Unit	ns
Iterations	30

12.91 ms

Name	PVE/vencrypt/Verify/1
Real Time	12911702.00
Time Unit	ns
Iterations	54

13.00 ms

Name	PVE/vencrypt/Decrypt/1
Real Time	13003852.94
Time Unit	ns
Iterations	54

Batch(4) - P-256

31.30 ms

Name	PVE/vencrypt-batch/Encrypt/1/4
Real Time	31302641.45
Time Unit	ns
Iterations	22

20.30 ms

Name	PVE/vencrypt-batch/Verify/1/4
Real Time	20302353.56
Time Unit	ns
Iterations	34

20.44 ms

Name	PVE/vencrypt-batch/Decrypt/1/4
Real Time	20443646.03
Time Unit	ns
Iterations	34

Batch(16) - P-256

60.60 ms

Name	PVE/vencrypt-batch/Encrypt/1/16
Real Time	60597112.17
Time Unit	ns
Iterations	12

49.25 ms

Name	PVE/vencrypt-batch/Verify/1/16
Real Time	49252428.14
Time Unit	ns
Iterations	14

49.50 ms

Name	PVE/vencrypt-batch/Decrypt/1/16
Real Time	49501428.29
Time Unit	ns
Iterations	14

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

556.00 ms

Name	PVE/vencrypt-batch-many/Encrypt
Real Time	556004705.00
Time Unit	ns
Iterations	1

303.53 ms

Name	PVE/vencrypt-batch-many/Verify
Real Time	303531137.50
Time Unit	ns
Iterations	2

3.63 ms

Name	PVE/vencrypt-batch-many/Decrypt
Real Time	3632505.20
Time Unit	ns
Iterations	5

Base OT

Number of OTs

128

256

512

1024

2048

Step 1 (R → S)

6.15 ms

Name	MPC/OT/BaseOT/Step1_R2S/64
Real Time	6147736.33
Time Unit	ns
Iterations	114

12.26 ms

Name	MPC/OT/BaseOT/Step1_R2S/128
Real Time	12259000.79
Time Unit	ns
Iterations	57

24.42 ms

Name	MPC/OT/BaseOT/Step1_R2S/256
Real Time	24416589.59
Time Unit	ns
Iterations	29

48.77 ms

Name	MPC/OT/BaseOT/Step1_R2S/512
Real Time	48768433.14
Time Unit	ns
Iterations	14

97.59 ms

Name	MPC/OT/BaseOT/Step1_R2S/1024
Real Time	97589377.86
Time Unit	ns
Iterations	7

195.07 ms

Name	MPC/OT/BaseOT/Step1_R2S/2048
Real Time	195074161.00
Time Unit	ns
Iterations	4

Step 2 (S → R)

26.41 ms

Name	MPC/OT/BaseOT/Step2_S2R/64
Real Time	26412759.69
Time Unit	ns
Iterations	26

52.76 ms

Name	MPC/OT/BaseOT/Step2_S2R/128
Real Time	52763918.92
Time Unit	ns
Iterations	13

105.47 ms

Name	MPC/OT/BaseOT/Step2_S2R/256
Real Time	105470378.29
Time Unit	ns
Iterations	7

210.81 ms

Name	MPC/OT/BaseOT/Step2_S2R/512
Real Time	210809747.00
Time Unit	ns
Iterations	3

421.43 ms

Name	MPC/OT/BaseOT/Step2_S2R/1024
Real Time	421434157.00
Time Unit	ns
Iterations	2

845.44 ms

Name	MPC/OT/BaseOT/Step2_S2R/2048
Real Time	845444065.00
Time Unit	ns
Iterations	1

Step 3 (R output)

3.47 ms

Name	MPC/OT/BaseOT/OutputR/64
Real Time	3466636.23
Time Unit	ns
Iterations	202

6.96 ms

Name	MPC/OT/BaseOT/OutputR/128
Real Time	6959146.23
Time Unit	ns
Iterations	101

13.91 ms

Name	MPC/OT/BaseOT/OutputR/256
Real Time	13912473.28
Time Unit	ns
Iterations	50

27.73 ms

Name	MPC/OT/BaseOT/OutputR/512
Real Time	27725286.84
Time Unit	ns
Iterations	25

55.52 ms

Name	MPC/OT/BaseOT/OutputR/1024
Real Time	55520543.54
Time Unit	ns
Iterations	13

111.60 ms

Name	MPC/OT/BaseOT/OutputR/2048
Real Time	111597698.33
Time Unit	ns
Iterations	6

Starts with 256 Base OTs, then extends - 2048 OTs

msg

Total Time

round 1

24.50 ms

Name	Full-OT-2P/1/1/2048
Real Time	24502441.62
Time Unit	ns
Iterations	29

message 1

round 2

109.41 ms

Name	Full-OT-2P/2/2/2048
Real Time	109407052.83
Time Unit	ns
Iterations	6

message 2

round 3

18.42 ms

Name	Full-OT-2P/3/1/2048
Real Time	18417868.29
Time Unit	ns
Iterations	38

message 3

Output Round

0.91 ms

Name	Full-OT-2P/4/2/2048
Real Time	913150.99
Time Unit	ns
Iterations	785

Starts with 256 Base OTs, then extends - 4096 OTs

msg

Total Time

round 1

24.51 ms

Name	Full-OT-2P/1/1/4096
Real Time	24506274.10
Time Unit	ns
Iterations	29

message 1

round 2

110.27 ms

Name	Full-OT-2P/2/2/4096
Real Time	110271544.33
Time Unit	ns
Iterations	6

message 2

round 3

21.74 ms

Name	Full-OT-2P/3/1/4096
Real Time	21737287.84
Time Unit	ns
Iterations	32

message 3

Output Round

1.78 ms

Name	Full-OT-2P/4/2/4096
Real Time	1784592.39
Time Unit	ns
Iterations	392

Starts with 256 Base OTs, then extends - 65536 OTs

msg

Total Time

round 1

24.49 ms

Name	Full-OT-2P/1/1/65536
Real Time	24485516.48
Time Unit	ns
Iterations	29

message 1

round 2

142.23 ms

Name	Full-OT-2P/2/2/65536
Real Time	142233640.80
Time Unit	ns
Iterations	5

message 2

round 3

119.94 ms

Name	Full-OT-2P/3/1/65536
Real Time	119935976.50
Time Unit	ns
Iterations	6

message 3

Output Round

28.70 ms

Name	Full-OT-2P/4/2/65536
Real Time	28696416.60
Time Unit	ns
Iterations	25

Agree Random - 256 bits

msg

Total Time

round 1

75.87 μs

Name	AgreeRandom-2P/1/1/256
Real Time	75868.36
Time Unit	ns
Iterations	10000

42.64 μs

Name	AgreeRandom-2P/1/2/256
Real Time	42638.69
Time Unit	ns
Iterations	10000

message 1

round 2

0.86 μs

Name	AgreeRandom-2P/2/1/256
Real Time	857.08
Time Unit	ns
Iterations	10000

12.60 μs

Name	AgreeRandom-2P/2/2/256
Real Time	12604.50
Time Unit	ns
Iterations	10000

message 2

round 3

0.64 μs

Name	AgreeRandom-2P/3/1/256
Real Time	637.75
Time Unit	ns
Iterations	10000

0.52 μs

Name	AgreeRandom-2P/3/2/256
Real Time	521.82
Time Unit	ns
Iterations	10000

message 3

Output Round

53.84 μs

Name	AgreeRandom-2P/4/1/256
Real Time	53840.73
Time Unit	ns
Iterations	10000

59.32 μs

Name	AgreeRandom-2P/4/2/256
Real Time	59321.52
Time Unit	ns
Iterations	10000

Agree Random - 1024 bits

msg

Total Time

round 1

77.57 μs

Name	AgreeRandom-2P/1/1/1024
Real Time	77570.34
Time Unit	ns
Iterations	10000

43.26 μs

Name	AgreeRandom-2P/1/2/1024
Real Time	43258.89
Time Unit	ns
Iterations	10000

message 1

round 2

0.83 μs

Name	AgreeRandom-2P/2/1/1024
Real Time	833.57
Time Unit	ns
Iterations	10000

12.64 μs

Name	AgreeRandom-2P/2/2/1024
Real Time	12642.38
Time Unit	ns
Iterations	10000

message 2

round 3

0.89 μs

Name	AgreeRandom-2P/3/1/1024
Real Time	893.98
Time Unit	ns
Iterations	10000

0.63 μs

Name	AgreeRandom-2P/3/2/1024
Real Time	627.03
Time Unit	ns
Iterations	10000

message 3

Output Round

54.61 μs

Name	AgreeRandom-2P/4/1/1024
Real Time	54612.94
Time Unit	ns
Iterations	10000

59.83 μs

Name	AgreeRandom-2P/4/2/1024
Real Time	59834.11
Time Unit	ns
Iterations	10000

Agree Random - 4096 bits

msg

Total Time

round 1

77.20 μs

Name	AgreeRandom-2P/1/1/4096
Real Time	77195.59
Time Unit	ns
Iterations	10000

42.99 μs

Name	AgreeRandom-2P/1/2/4096
Real Time	42992.42
Time Unit	ns
Iterations	10000

message 1

round 2

0.83 μs

Name	AgreeRandom-2P/2/1/4096
Real Time	826.92
Time Unit	ns
Iterations	10000

12.71 μs

Name	AgreeRandom-2P/2/2/4096
Real Time	12707.96
Time Unit	ns
Iterations	10000

message 2

round 3

1.27 μs

Name	AgreeRandom-2P/3/1/4096
Real Time	1265.47
Time Unit	ns
Iterations	10000

0.80 μs

Name	AgreeRandom-2P/3/2/4096
Real Time	801.03
Time Unit	ns
Iterations	10000

message 3

Output Round

56.85 μs

Name	AgreeRandom-2P/4/1/4096
Real Time	56851.91
Time Unit	ns
Iterations	10000

61.39 μs

Name	AgreeRandom-2P/4/2/4096
Real Time	61392.54
Time Unit	ns
Iterations	10000

Weak Agree Random - 256 bits

msg

Total Time

round 1

68.09 μs

Name	WeakAgreeRandom-2P/1/1/256
Real Time	68086.19
Time Unit	ns
Iterations	10000

41.50 μs

Name	WeakAgreeRandom-2P/1/2/256
Real Time	41496.47
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	WeakAgreeRandom-2P/2/1/256
Real Time	617.76
Time Unit	ns
Iterations	10000

12.65 μs

Name	WeakAgreeRandom-2P/2/2/256
Real Time	12651.26
Time Unit	ns
Iterations	10000

message 2

Output Round

65.96 μs

Name	WeakAgreeRandom-2P/3/1/256
Real Time	65955.76
Time Unit	ns
Iterations	10000

56.28 μs

Name	WeakAgreeRandom-2P/3/2/256
Real Time	56280.47
Time Unit	ns
Iterations	10000

Weak Agree Random - 1024 bits

msg

Total Time

round 1

67.77 μs

Name	WeakAgreeRandom-2P/1/1/1024
Real Time	67772.56
Time Unit	ns
Iterations	10000

41.53 μs

Name	WeakAgreeRandom-2P/1/2/1024
Real Time	41532.98
Time Unit	ns
Iterations	10000

message 1

round 2

0.61 μs

Name	WeakAgreeRandom-2P/2/1/1024
Real Time	611.53
Time Unit	ns
Iterations	10000

12.43 μs

Name	WeakAgreeRandom-2P/2/2/1024
Real Time	12431.05
Time Unit	ns
Iterations	10000

message 2

Output Round

67.09 μs

Name	WeakAgreeRandom-2P/3/1/1024
Real Time	67091.56
Time Unit	ns
Iterations	10000

60.05 μs

Name	WeakAgreeRandom-2P/3/2/1024
Real Time	60053.68
Time Unit	ns
Iterations	10000

Weak Agree Random - 4096 bits

msg

Total Time

round 1

68.81 μs

Name	WeakAgreeRandom-2P/1/1/4096
Real Time	68810.92
Time Unit	ns
Iterations	10000

42.10 μs

Name	WeakAgreeRandom-2P/1/2/4096
Real Time	42101.19
Time Unit	ns
Iterations	10000

message 1

round 2

0.62 μs

Name	WeakAgreeRandom-2P/2/1/4096
Real Time	624.66
Time Unit	ns
Iterations	10000

12.49 μs

Name	WeakAgreeRandom-2P/2/2/4096
Real Time	12486.27
Time Unit	ns
Iterations	10000

message 2

Output Round

66.89 μs

Name	WeakAgreeRandom-2P/3/1/4096
Real Time	66886.43
Time Unit	ns
Iterations	10000

60.00 μs

Name	WeakAgreeRandom-2P/3/2/4096
Real Time	60002.97
Time Unit	ns
Iterations	10000

Generate SID (Fixed)

msg

Total Time

round 1

68.14 μs

Name	GenerateSID-Fixed-2P/1/1
Real Time	68137.76
Time Unit	ns
Iterations	10000

42.31 μs

Name	GenerateSID-Fixed-2P/1/2
Real Time	42310.66
Time Unit	ns
Iterations	10000

message 1

round 2

0.61 μs

Name	GenerateSID-Fixed-2P/2/1
Real Time	611.01
Time Unit	ns
Iterations	10000

12.74 μs

Name	GenerateSID-Fixed-2P/2/2
Real Time	12739.26
Time Unit	ns
Iterations	10000

message 2

Output Round

64.19 μs

Name	GenerateSID-Fixed-2P/3/1
Real Time	64195.00
Time Unit	ns
Iterations	10000

54.82 μs

Name	GenerateSID-Fixed-2P/3/2
Real Time	54821.42
Time Unit	ns
Iterations	10000

Generate SID (Dynamic)

msg

Total Time

round 1

69.07 μs

Name	GenerateSID-Dynamic-2P/1/1
Real Time	69065.09
Time Unit	ns
Iterations	10000

43.43 μs

Name	GenerateSID-Dynamic-2P/1/2
Real Time	43434.26
Time Unit	ns
Iterations	10000

message 1

round 2

0.60 μs

Name	GenerateSID-Dynamic-2P/2/1
Real Time	595.18
Time Unit	ns
Iterations	10000

11.93 μs

Name	GenerateSID-Dynamic-2P/2/2
Real Time	11929.62
Time Unit	ns
Iterations	10000

message 2

Output Round

65.48 μs

Name	GenerateSID-Dynamic-2P/3/1
Real Time	65482.86
Time Unit	ns
Iterations	10000

56.71 μs

Name	GenerateSID-Dynamic-2P/3/2
Real Time	56708.54
Time Unit	ns
Iterations	10000

Keygen

msg

Total Time

round 1

0.10 ms

Name	Schnorr-2PC-KeyGen-2P/1/1
Real Time	102583.70
Time Unit	ns
Iterations	10

0.07 ms

Name	Schnorr-2PC-KeyGen-2P/1/2
Real Time	65099.00
Time Unit	ns
Iterations	10

message 1

round 2

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/2/1
Real Time	728.30
Time Unit	ns
Iterations	10

1.12 ms

Name	Schnorr-2PC-KeyGen-2P/2/2
Real Time	1120490.30
Time Unit	ns
Iterations	10

message 2

round 3

5.85 ms

Name	Schnorr-2PC-KeyGen-2P/3/1
Real Time	5854964.00
Time Unit	ns
Iterations	10

0.00 ms

Name	Schnorr-2PC-KeyGen-2P/3/2
Real Time	2504.70
Time Unit	ns
Iterations	10

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-KeyGen-2P/4/1
Real Time	63467.70
Time Unit	ns
Iterations	10

4.85 ms

Name	Schnorr-2PC-KeyGen-2P/4/2
Real Time	4853164.40
Time Unit	ns
Iterations	10

Refresh

msg

Total Time

round 1

0.08 ms

Name	Schnorr-2PC-Refresh-2P/1/1
Real Time	79931.14
Time Unit	ns
Iterations	200

0.04 ms

Name	Schnorr-2PC-Refresh-2P/1/2
Real Time	43900.72
Time Unit	ns
Iterations	200

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Refresh-2P/2/1
Real Time	888.10
Time Unit	ns
Iterations	200

0.01 ms

Name	Schnorr-2PC-Refresh-2P/2/2
Real Time	13022.49
Time Unit	ns
Iterations	200

message 2

round 3

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/1
Real Time	814.43
Time Unit	ns
Iterations	200

0.00 ms

Name	Schnorr-2PC-Refresh-2P/3/2
Real Time	589.80
Time Unit	ns
Iterations	200

message 3

Output Round

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/1
Real Time	59208.46
Time Unit	ns
Iterations	200

0.06 ms

Name	Schnorr-2PC-Refresh-2P/4/2
Real Time	62243.35
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	95404.10
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/1
Real Time	41763.74
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/1
Real Time	872.86
Time Unit	ns
Iterations	50

1.48 ms

Name	Schnorr-2PC-Sign-2P/2/2/1
Real Time	1477168.16
Time Unit	ns
Iterations	50

message 2

round 3

5.38 ms

Name	Schnorr-2PC-Sign-2P/3/1/1
Real Time	5384683.88
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/1
Real Time	2693.04
Time Unit	ns
Iterations	50

message 3

round 4

0.02 ms

Name	Schnorr-2PC-Sign-2P/4/1/1
Real Time	20556.70
Time Unit	ns
Iterations	50

3.93 ms

Name	Schnorr-2PC-Sign-2P/4/2/1
Real Time	3934913.54
Time Unit	ns
Iterations	50

message 4

Output Round

0.21 ms

Name	Schnorr-2PC-Sign-2P/5/1/1
Real Time	209064.78
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/1
Real Time	75211.02
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	157750.14
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/4
Real Time	42220.74
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/4
Real Time	882.28
Time Unit	ns
Iterations	50

1.88 ms

Name	Schnorr-2PC-Sign-2P/2/2/4
Real Time	1881833.40
Time Unit	ns
Iterations	50

message 2

round 3

6.35 ms

Name	Schnorr-2PC-Sign-2P/3/1/4
Real Time	6348366.12
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/4
Real Time	2152.10
Time Unit	ns
Iterations	50

message 3

round 4

0.06 ms

Name	Schnorr-2PC-Sign-2P/4/1/4
Real Time	56829.80
Time Unit	ns
Iterations	50

4.63 ms

Name	Schnorr-2PC-Sign-2P/4/2/4
Real Time	4628627.10
Time Unit	ns
Iterations	50

message 4

Output Round

0.60 ms

Name	Schnorr-2PC-Sign-2P/5/1/4
Real Time	596914.82
Time Unit	ns
Iterations	50

0.07 ms

Name	Schnorr-2PC-Sign-2P/5/2/4
Real Time	74009.42
Time Unit	ns
Iterations	50

Sign - #Msg=16

msg

Total Time

round 1

0.41 ms

Name	Schnorr-2PC-Sign-2P/1/1/16
Real Time	412732.36
Time Unit	ns
Iterations	50

0.04 ms

Name	Schnorr-2PC-Sign-2P/1/2/16
Real Time	44685.18
Time Unit	ns
Iterations	50

message 1

round 2

0.00 ms

Name	Schnorr-2PC-Sign-2P/2/1/16
Real Time	917.98
Time Unit	ns
Iterations	50

4.17 ms

Name	Schnorr-2PC-Sign-2P/2/2/16
Real Time	4171626.10
Time Unit	ns
Iterations	50

message 2

round 3

11.63 ms

Name	Schnorr-2PC-Sign-2P/3/1/16
Real Time	11630027.96
Time Unit	ns
Iterations	50

0.00 ms

Name	Schnorr-2PC-Sign-2P/3/2/16
Real Time	3777.92
Time Unit	ns
Iterations	50

message 3

round 4

0.19 ms

Name	Schnorr-2PC-Sign-2P/4/1/16
Real Time	191936.58
Time Unit	ns
Iterations	50

7.93 ms

Name	Schnorr-2PC-Sign-2P/4/2/16
Real Time	7928106.98
Time Unit	ns
Iterations	50

message 4

Output Round

2.22 ms

Name	Schnorr-2PC-Sign-2P/5/1/16
Real Time	2223366.56
Time Unit	ns
Iterations	50

0.08 ms

Name	Schnorr-2PC-Sign-2P/5/2/16
Real Time	81478.60
Time Unit	ns
Iterations	50

Keygen

msg

Total Time

round 1

197.04 ms

Name	ECDSA-2PC-KeyGen-2P/1/1
Real Time	197039699.90
Time Unit	ns
Iterations	20

0.07 ms

Name	ECDSA-2PC-KeyGen-2P/1/2
Real Time	69522.90
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/2/1
Real Time	3155.30
Time Unit	ns
Iterations	20

1.23 ms

Name	ECDSA-2PC-KeyGen-2P/2/2
Real Time	1230092.20
Time Unit	ns
Iterations	20

message 2

round 3

17.32 ms

Name	ECDSA-2PC-KeyGen-2P/3/1
Real Time	17320398.50
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-KeyGen-2P/3/2
Real Time	2364.95
Time Unit	ns
Iterations	20

message 3

Output Round

0.14 ms

Name	ECDSA-2PC-KeyGen-2P/4/1
Real Time	137410.70
Time Unit	ns
Iterations	20

77.83 ms

Name	ECDSA-2PC-KeyGen-2P/4/2
Real Time	77826849.70
Time Unit	ns
Iterations	20

Refresh

msg

Total Time

round 1

78.72 ms

Name	ECDSA-2PC-Refresh-2P/1/1
Real Time	78721361.60
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Refresh-2P/1/2
Real Time	49059.50
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Refresh-2P/2/1
Real Time	1651.60
Time Unit	ns
Iterations	20

1.65 ms

Name	ECDSA-2PC-Refresh-2P/2/2
Real Time	1647750.90
Time Unit	ns
Iterations	20

message 2

round 3

10.67 ms

Name	ECDSA-2PC-Refresh-2P/3/1
Real Time	10666741.95
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Refresh-2P/3/2
Real Time	1393.10
Time Unit	ns
Iterations	20

message 3

Output Round

0.12 ms

Name	ECDSA-2PC-Refresh-2P/4/1
Real Time	117723.35
Time Unit	ns
Iterations	20

85.51 ms

Name	ECDSA-2PC-Refresh-2P/4/2
Real Time	85507764.25
Time Unit	ns
Iterations	20

Sign - #Msg=1

msg

Total Time

round 1

1.54 ms

Name	ECDSA-2PC-Sign-2P/1/1/1
Real Time	1535023.25
Time Unit	ns
Iterations	20

0.06 ms

Name	ECDSA-2PC-Sign-2P/1/2/1
Real Time	56920.10
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/1
Real Time	673.80
Time Unit	ns
Iterations	20

1.46 ms

Name	ECDSA-2PC-Sign-2P/2/2/1
Real Time	1462132.30
Time Unit	ns
Iterations	20

message 2

round 3

1.80 ms

Name	ECDSA-2PC-Sign-2P/3/1/1
Real Time	1798497.95
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/1
Real Time	2649.00
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/1
Real Time	4991.85
Time Unit	ns
Iterations	20

42.84 ms

Name	ECDSA-2PC-Sign-2P/4/2/1
Real Time	42841522.65
Time Unit	ns
Iterations	20

message 4

Output Round

24.83 ms

Name	ECDSA-2PC-Sign-2P/5/1/1
Real Time	24834164.95
Time Unit	ns
Iterations	20

0.10 ms

Name	ECDSA-2PC-Sign-2P/5/2/1
Real Time	102614.95
Time Unit	ns
Iterations	20

Sign - #Msg=4

msg

Total Time

round 1

1.92 ms

Name	ECDSA-2PC-Sign-2P/1/1/4
Real Time	1919973.05
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/4
Real Time	49580.20
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/4
Real Time	829.80
Time Unit	ns
Iterations	20

1.86 ms

Name	ECDSA-2PC-Sign-2P/2/2/4
Real Time	1857009.85
Time Unit	ns
Iterations	20

message 2

round 3

2.20 ms

Name	ECDSA-2PC-Sign-2P/3/1/4
Real Time	2204353.60
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/4
Real Time	2845.35
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-2P/4/1/4
Real Time	6020.40
Time Unit	ns
Iterations	20

165.72 ms

Name	ECDSA-2PC-Sign-2P/4/2/4
Real Time	165724136.20
Time Unit	ns
Iterations	20

message 4

Output Round

98.45 ms

Name	ECDSA-2PC-Sign-2P/5/1/4
Real Time	98452955.25
Time Unit	ns
Iterations	20

0.15 ms

Name	ECDSA-2PC-Sign-2P/5/2/4
Real Time	145850.40
Time Unit	ns
Iterations	20

Sign - #Msg=16

msg

Total Time

round 1

4.21 ms

Name	ECDSA-2PC-Sign-2P/1/1/16
Real Time	4206815.60
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-2P/1/2/16
Real Time	51820.85
Time Unit	ns
Iterations	20

message 1

round 2

0.00 ms

Name	ECDSA-2PC-Sign-2P/2/1/16
Real Time	834.45
Time Unit	ns
Iterations	20

4.14 ms

Name	ECDSA-2PC-Sign-2P/2/2/16
Real Time	4144842.70
Time Unit	ns
Iterations	20

message 2

round 3

4.22 ms

Name	ECDSA-2PC-Sign-2P/3/1/16
Real Time	4224584.75
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-2P/3/2/16
Real Time	3530.25
Time Unit	ns
Iterations	20

message 3

round 4

0.00 ms

Name	ECDSA-2PC-Sign-2P/4/1/16
Real Time	4947.15
Time Unit	ns
Iterations	20

658.05 ms

Name	ECDSA-2PC-Sign-2P/4/2/16
Real Time	658052926.15
Time Unit	ns
Iterations	20

message 4

Output Round

392.79 ms

Name	ECDSA-2PC-Sign-2P/5/1/16
Real Time	392793043.00
Time Unit	ns
Iterations	20

0.20 ms

Name	ECDSA-2PC-Sign-2P/5/2/16
Real Time	196966.15
Time Unit	ns
Iterations	20

Sign with Global Abort - #Msg=1

msg

Total Time

round 1

1.54 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/1
Real Time	1538830.60
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/1
Real Time	49471.35
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	816.50
Time Unit	ns
Iterations	20

1.46 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/1
Real Time	1462266.60
Time Unit	ns
Iterations	20

message 2

round 3

1.79 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/1
Real Time	1785551.75
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/1
Real Time	2314.65
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	3511.15
Time Unit	ns
Iterations	20

12.90 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/1
Real Time	12902879.70
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

1.93 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/4
Real Time	1926474.80
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/4
Real Time	49297.10
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	753.85
Time Unit	ns
Iterations	20

1.78 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/4
Real Time	1779968.75
Time Unit	ns
Iterations	20

message 2

round 3

2.20 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/4
Real Time	2196606.00
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/4
Real Time	3020.25
Time Unit	ns
Iterations	20

message 3

round 4

0.01 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/1/4
Real Time	6202.80
Time Unit	ns
Iterations	20

46.45 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/4
Real Time	46446445.80
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

4.10 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/1/16
Real Time	4098310.65
Time Unit	ns
Iterations	20

0.05 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/1/2/16
Real Time	52023.00
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	843.15
Time Unit	ns
Iterations	20

4.17 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/2/2/16
Real Time	4171547.50
Time Unit	ns
Iterations	20

message 2

round 3

4.23 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/1/16
Real Time	4226231.65
Time Unit	ns
Iterations	20

0.00 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/3/2/16
Real Time	3205.70
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	7164.05
Time Unit	ns
Iterations	20

180.66 ms

Name	ECDSA-2PC-Sign-With-Global-Abort-2P/4/2/16
Real Time	180663470.90
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	242932.00
Time Unit	ns
Iterations	1

0.22 ms

Name	Schnorr-MPC-KeyGen-MP/1/1
Real Time	220003.00
Time Unit	ns
Iterations	1

0.24 ms

Name	Schnorr-MPC-KeyGen-MP/1/2
Real Time	244113.00
Time Unit	ns
Iterations	1

0.21 ms

Name	Schnorr-MPC-KeyGen-MP/1/3
Real Time	213544.00
Time Unit	ns
Iterations	1

message 1

round 2

1.62 ms

Name	Schnorr-MPC-KeyGen-MP/2/0
Real Time	1624843.00
Time Unit	ns
Iterations	1

1.58 ms

Name	Schnorr-MPC-KeyGen-MP/2/1
Real Time	1576984.00
Time Unit	ns
Iterations	1

1.59 ms

Name	Schnorr-MPC-KeyGen-MP/2/2
Real Time	1588225.00
Time Unit	ns
Iterations	1

1.69 ms

Name	Schnorr-MPC-KeyGen-MP/2/3
Real Time	1691589.00
Time Unit	ns
Iterations	1

message 2

Output Round

14.36 ms

Name	Schnorr-MPC-KeyGen-MP/3/0
Real Time	14358927.00
Time Unit	ns
Iterations	1

14.34 ms

Name	Schnorr-MPC-KeyGen-MP/3/1
Real Time	14341387.00
Time Unit	ns
Iterations	1

14.43 ms

Name	Schnorr-MPC-KeyGen-MP/3/2
Real Time	14425522.00
Time Unit	ns
Iterations	1

14.31 ms

Name	Schnorr-MPC-KeyGen-MP/3/3
Real Time	14313695.00
Time Unit	ns
Iterations	1

Refresh

Total Time

round 1

4.68 ms

Name	Schnorr-MPC-Refresh-MP/1/0
Real Time	4676768.70
Time Unit	ns
Iterations	10

4.66 ms

Name	Schnorr-MPC-Refresh-MP/1/1
Real Time	4657902.10
Time Unit	ns
Iterations	10

4.68 ms

Name	Schnorr-MPC-Refresh-MP/1/2
Real Time	4683749.80
Time Unit	ns
Iterations	10

4.68 ms

Name	Schnorr-MPC-Refresh-MP/1/3
Real Time	4678242.10
Time Unit	ns
Iterations	10

message 1

round 2

2.64 ms

Name	Schnorr-MPC-Refresh-MP/2/0
Real Time	2635267.20
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/1
Real Time	2630252.80
Time Unit	ns
Iterations	10

2.63 ms

Name	Schnorr-MPC-Refresh-MP/2/2
Real Time	2630740.90
Time Unit	ns
Iterations	10

2.62 ms

Name	Schnorr-MPC-Refresh-MP/2/3
Real Time	2622373.30
Time Unit	ns
Iterations	10

message 2

Output Round

48.32 ms

Name	Schnorr-MPC-Refresh-MP/3/0
Real Time	48323231.30
Time Unit	ns
Iterations	10

48.37 ms

Name	Schnorr-MPC-Refresh-MP/3/1
Real Time	48373886.90
Time Unit	ns
Iterations	10

48.33 ms

Name	Schnorr-MPC-Refresh-MP/3/2
Real Time	48327598.70
Time Unit	ns
Iterations	10

48.36 ms

Name	Schnorr-MPC-Refresh-MP/3/3
Real Time	48358894.40
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/0
Real Time	265742.90
Time Unit	ns
Iterations	10

0.26 ms

Name	Schnorr-MPC-Sign-MP/1/1
Real Time	261855.30
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/2
Real Time	267353.30
Time Unit	ns
Iterations	10

0.27 ms

Name	Schnorr-MPC-Sign-MP/1/3
Real Time	272413.90
Time Unit	ns
Iterations	10

message 1

round 2

2.45 ms

Name	Schnorr-MPC-Sign-MP/2/0
Real Time	2448033.00
Time Unit	ns
Iterations	10

2.47 ms

Name	Schnorr-MPC-Sign-MP/2/1
Real Time	2472160.50
Time Unit	ns
Iterations	10

2.50 ms

Name	Schnorr-MPC-Sign-MP/2/2
Real Time	2500121.50
Time Unit	ns
Iterations	10

2.45 ms

Name	Schnorr-MPC-Sign-MP/2/3
Real Time	2451672.80
Time Unit	ns
Iterations	10

message 2

round 3

13.15 ms

Name	Schnorr-MPC-Sign-MP/3/0
Real Time	13146240.80
Time Unit	ns
Iterations	10

13.13 ms

Name	Schnorr-MPC-Sign-MP/3/1
Real Time	13132202.40
Time Unit	ns
Iterations	10

13.17 ms

Name	Schnorr-MPC-Sign-MP/3/2
Real Time	13174173.30
Time Unit	ns
Iterations	10

13.22 ms

Name	Schnorr-MPC-Sign-MP/3/3
Real Time	13216777.40
Time Unit	ns
Iterations	10

message 3

Output Round

0.54 ms

Name	Schnorr-MPC-Sign-MP/4/0
Real Time	536851.70
Time Unit	ns
Iterations	10

0.14 ms

Name	Schnorr-MPC-Sign-MP/4/1
Real Time	136661.70
Time Unit	ns
Iterations	10

0.13 ms

Name	Schnorr-MPC-Sign-MP/4/2
Real Time	127950.90
Time Unit	ns
Iterations	10

0.14 ms

Name	Schnorr-MPC-Sign-MP/4/3
Real Time	138625.00
Time Unit	ns
Iterations	10

Keygen

Total Time

round 1

0.19 ms

Name	ECDSA-MPC-KeyGen-MP/1/0
Real Time	190544.40
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/1
Real Time	178326.10
Time Unit	ns
Iterations	10

0.17 ms

Name	ECDSA-MPC-KeyGen-MP/1/2
Real Time	171375.70
Time Unit	ns
Iterations	10

0.18 ms

Name	ECDSA-MPC-KeyGen-MP/1/3
Real Time	176319.10
Time Unit	ns
Iterations	10

message 1

round 2

1.32 ms

Name	ECDSA-MPC-KeyGen-MP/2/0
Real Time	1322963.90
Time Unit	ns
Iterations	10

1.31 ms

Name	ECDSA-MPC-KeyGen-MP/2/1
Real Time	1305394.80
Time Unit	ns
Iterations	10

1.31 ms

Name	ECDSA-MPC-KeyGen-MP/2/2
Real Time	1306731.40
Time Unit	ns
Iterations	10

1.33 ms

Name	ECDSA-MPC-KeyGen-MP/2/3
Real Time	1326205.90
Time Unit	ns
Iterations	10

message 2

Output Round

3.20 ms

Name	ECDSA-MPC-KeyGen-MP/3/0
Real Time	3199447.80
Time Unit	ns
Iterations	10

3.20 ms

Name	ECDSA-MPC-KeyGen-MP/3/1
Real Time	3201034.00
Time Unit	ns
Iterations	10

3.24 ms

Name	ECDSA-MPC-KeyGen-MP/3/2
Real Time	3241419.90
Time Unit	ns
Iterations	10

3.23 ms

Name	ECDSA-MPC-KeyGen-MP/3/3
Real Time	3234066.60
Time Unit	ns
Iterations	10

Refresh

Total Time

round 1

4.66 ms

Name	ECDSA-MPC-Refresh-MP/1/0
Real Time	4661342.40
Time Unit	ns
Iterations	10

4.62 ms

Name	ECDSA-MPC-Refresh-MP/1/1
Real Time	4620758.80
Time Unit	ns
Iterations	10

4.64 ms

Name	ECDSA-MPC-Refresh-MP/1/2
Real Time	4638120.70
Time Unit	ns
Iterations	10

4.77 ms

Name	ECDSA-MPC-Refresh-MP/1/3
Real Time	4772979.50
Time Unit	ns
Iterations	10

message 1

round 2

1.14 ms

Name	ECDSA-MPC-Refresh-MP/2/0
Real Time	1137901.10
Time Unit	ns
Iterations	10

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/1
Real Time	1132595.00
Time Unit	ns
Iterations	10

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/2
Real Time	1128381.30
Time Unit	ns
Iterations	10

1.13 ms

Name	ECDSA-MPC-Refresh-MP/2/3
Real Time	1134926.40
Time Unit	ns
Iterations	10

message 2

Output Round

10.96 ms

Name	ECDSA-MPC-Refresh-MP/3/0
Real Time	10963193.00
Time Unit	ns
Iterations	10

10.98 ms

Name	ECDSA-MPC-Refresh-MP/3/1
Real Time	10984748.70
Time Unit	ns
Iterations	10

11.00 ms

Name	ECDSA-MPC-Refresh-MP/3/2
Real Time	11001534.40
Time Unit	ns
Iterations	10

10.97 ms

Name	ECDSA-MPC-Refresh-MP/3/3
Real Time	10969703.20
Time Unit	ns
Iterations	10

Sign

Total Time

round 1

0.21 ms

Name	ECDSA-MPC-Sign-MP/1/0
Real Time	213769.20
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/1
Real Time	218693.60
Time Unit	ns
Iterations	10

0.23 ms

Name	ECDSA-MPC-Sign-MP/1/2
Real Time	228142.30
Time Unit	ns
Iterations	10

0.22 ms

Name	ECDSA-MPC-Sign-MP/1/3
Real Time	216287.60
Time Unit	ns
Iterations	10

message 1

round 2

69.08 ms

Name	ECDSA-MPC-Sign-MP/2/0
Real Time	69081573.10
Time Unit	ns
Iterations	10

46.35 ms

Name	ECDSA-MPC-Sign-MP/2/1
Real Time	46354658.50
Time Unit	ns
Iterations	10

23.99 ms

Name	ECDSA-MPC-Sign-MP/2/2
Real Time	23994930.90
Time Unit	ns
Iterations	10

1.34 ms

Name	ECDSA-MPC-Sign-MP/2/3
Real Time	1344158.70
Time Unit	ns
Iterations	10

message 2

round 3

3.20 ms

Name	ECDSA-MPC-Sign-MP/3/0
Real Time	3196479.50
Time Unit	ns
Iterations	10

97.47 ms

Name	ECDSA-MPC-Sign-MP/3/1
Real Time	97465997.30
Time Unit	ns
Iterations	10

192.20 ms

Name	ECDSA-MPC-Sign-MP/3/2
Real Time	192198310.80
Time Unit	ns
Iterations	10

286.36 ms

Name	ECDSA-MPC-Sign-MP/3/3
Real Time	286358243.70
Time Unit	ns
Iterations	10

message 3

round 4

71.47 ms

Name	ECDSA-MPC-Sign-MP/4/0
Real Time	71466360.20
Time Unit	ns
Iterations	10

50.03 ms

Name	ECDSA-MPC-Sign-MP/4/1
Real Time	50028884.40
Time Unit	ns
Iterations	10

28.45 ms

Name	ECDSA-MPC-Sign-MP/4/2
Real Time	28448626.80
Time Unit	ns
Iterations	10

6.86 ms

Name	ECDSA-MPC-Sign-MP/4/3
Real Time	6863397.20
Time Unit	ns
Iterations	10

message 4

round 5

9.78 ms

Name	ECDSA-MPC-Sign-MP/5/0
Real Time	9781518.50
Time Unit	ns
Iterations	10

12.64 ms

Name	ECDSA-MPC-Sign-MP/5/1
Real Time	12644977.70
Time Unit	ns
Iterations	10

15.13 ms

Name	ECDSA-MPC-Sign-MP/5/2
Real Time	15125879.70
Time Unit	ns
Iterations	10

17.69 ms

Name	ECDSA-MPC-Sign-MP/5/3
Real Time	17690981.80
Time Unit	ns
Iterations	10

message 5

round 6

11.90 ms

Name	ECDSA-MPC-Sign-MP/6/0
Real Time	11901564.10
Time Unit	ns
Iterations	10

10.66 ms

Name	ECDSA-MPC-Sign-MP/6/1
Real Time	10664166.30
Time Unit	ns
Iterations	10

9.27 ms

Name	ECDSA-MPC-Sign-MP/6/2
Real Time	9274612.20
Time Unit	ns
Iterations	10

8.03 ms

Name	ECDSA-MPC-Sign-MP/6/3
Real Time	8033075.80
Time Unit	ns
Iterations	10

message 6

round 7

21.70 ms

Name	ECDSA-MPC-Sign-MP/7/0
Real Time	21700124.50
Time Unit	ns
Iterations	10

21.83 ms

Name	ECDSA-MPC-Sign-MP/7/1
Real Time	21829513.80
Time Unit	ns
Iterations	10

21.42 ms

Name	ECDSA-MPC-Sign-MP/7/2
Real Time	21420756.10
Time Unit	ns
Iterations	10

21.78 ms

Name	ECDSA-MPC-Sign-MP/7/3
Real Time	21779845.20
Time Unit	ns
Iterations	10

message 7

round 8

9.29 ms

Name	ECDSA-MPC-Sign-MP/8/0
Real Time	9292579.90
Time Unit	ns
Iterations	10

9.27 ms

Name	ECDSA-MPC-Sign-MP/8/1
Real Time	9265413.60
Time Unit	ns
Iterations	10

9.28 ms

Name	ECDSA-MPC-Sign-MP/8/2
Real Time	9280797.40
Time Unit	ns
Iterations	10

9.30 ms

Name	ECDSA-MPC-Sign-MP/8/3
Real Time	9296130.70
Time Unit	ns
Iterations	10

message 8

round 9

2.77 ms

Name	ECDSA-MPC-Sign-MP/9/0
Real Time	2770201.10
Time Unit	ns
Iterations	10

2.77 ms

Name	ECDSA-MPC-Sign-MP/9/1
Real Time	2767562.20
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/2
Real Time	2760757.90
Time Unit	ns
Iterations	10

2.76 ms

Name	ECDSA-MPC-Sign-MP/9/3
Real Time	2763240.90
Time Unit	ns
Iterations	10

message 9

Output Round

2.49 ms

Name	ECDSA-MPC-Sign-MP/10/0
Real Time	2488827.40
Time Unit	ns
Iterations	10

1.38 ms

Name	ECDSA-MPC-Sign-MP/10/1
Real Time	1381330.70
Time Unit	ns
Iterations	10

1.35 ms

Name	ECDSA-MPC-Sign-MP/10/2
Real Time	1350814.30
Time Unit	ns
Iterations	10

1.39 ms

Name	ECDSA-MPC-Sign-MP/10/3
Real Time	1388112.60
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