Benchmark
The performance of TEPLA library is compared with PBC Library.
We use PC with Core i7 920 (2.67 GHz) CPU, Linux kernel 2.6.18-308.8.1.el5,PBC Library 0.5.21, GMP 5.0.5, and Openssl 0.9.8e-fips-rhl5.
Each value below is in msec.
Pairings
| Parameters on PBC Library | TEPLA | |||||||
| a | a1 | d159 | d201 | d224 | e | f | g149 | BN254 |
| 2.2078 | 64.1451 | 4.8378 | 7.3075 | 9.0325 | 9.0840 | 25.3030 | 14.6299 | 6.3980 |
Scalar Multiplication of Points on Elliptic Curves
| Parameters on PBC Library | TEPLA | |||||||
| a | a1 | d159 | d201 | d224 | e | f | g149 | BN254 |
| 2.5591 | 55.4810 | 0.7697 | 1.1023 | 1.4632 | 6.5124 | 0.7698 | 0.6912 | 0.6836 |
Mapping to Points on Elliptic Curves from Data Strings （MapToPoint）
| Parameters on PBC Library | TEPLA | |||||||
| a | a1 | d159 | d201 | d224 | e | f | g149 | BN254 |
| 5.8960 | 2.6394 | 0.0564 | 0.2136 | 0.2020 | 34.4924 | 0.0320 | 0.0335 | 0.3081 |
Exponentiation on Extension Fields
| Parameters on PBC Library | TEPLA | |||||||
| a | a1 | d159 | d201 | d224 | e | f | g149 | BN254 |
| 0.2666 | 5.2082 | 1.4265 | 2.0826 | 2.5838 | 0.2853 | 5.7848 | 4.0275 | 6.6730 |
Security in bits
| Parameters on PBC Library | TEPLA | |||||||
| a | a1 | d159 | d201 | d224 | e | f | g149 | BN254 |
| 1024 | 2048 | 954 | 1206 | 1304 | 1024 | 1920 | 1490 | 3048 |