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MITSUNARI Shigeo 7 years ago
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@ -27,6 +27,39 @@ p(z) = 36z^4 + 36z^3 + 24z^2 + 6z + 1.
* CurveFp381 ; a BN curve over the 381-bit prime p(z) where z = -(2^94 + 2^76 + 2^72 + 1). * CurveFp381 ; a BN curve over the 381-bit prime p(z) where z = -(2^94 + 2^76 + 2^72 + 1).
* CurveFp462 ; a BN curve over the 462-bit prime p(z) where z = 2^114 + 2^101 - 2^14 - 1. * CurveFp462 ; a BN curve over the 462-bit prime p(z) where z = 2^114 + 2^101 - 2^14 - 1.
# Benchmark
A benchmark of a BN curve CurveFp254BNb(2016/12/25).
* x64, x86 ; Inte Core i7-6700 3.4GHz(Skylake) upto 4GHz on Ubuntu 16.04.
* `sudo cpufreq-set -g performance`
* arm ; 900MHz quad-core ARM Cortex-A7 on Raspberry Pi2, Linux 4.4.11-v7+
* arm64 ; 1.2GHz ARM Cortex-A53 [HiKey](http://www.96boards.org/product/hikey/)
software | x64| x86| arm|arm64(msec)
---------------------------------------------------------|------|-----|----|-----
[ate-pairing](https://github.com/herumi/ate-pairing) | 0.21 | - | - | -
mcl | 0.31 | 1.6 |22.6| 3.9
[TEPLA](http://www.cipher.risk.tsukuba.ac.jp/tepla/) | 1.76 | 3.7 | 37 | 17.9
[RELIC](https://github.com/relic-toolkit/relic) PRIME=254| 0.30 | 3.5 | 36 | -
[MIRACL](https://github.com/miracl/MIRACL) ake12bnx | 4.2 | - | 78 | -
[NEONabe](http://sandia.cs.cinvestav.mx/Site/NEONabe) | - | - | 16 | -
* compile option for RELIC
```
cmake -DARITH=x64-asm-254 -DFP_PRIME=254 -DFPX_METHD="INTEG;INTEG;LAZYR" -DPP_METHD="LAZYR;OATEP"
```
## Higher-bit BN curve benchmark by mcl
see `test/bn384_test.cpp` and `test/bn512_test.cpp`.
## Benchmark on Kaby Lake Core i7-7700(3.6GHz)
paramter | x64(msec)|
----------------|------------|
CurveFpBN254BNb | 0.34|
CurveFp382_1 | 0.95|
CurveFp461 | 2.16|
# Installation Requirements # Installation Requirements
* [GMP](https://gmplib.org/) and OpenSSL * [GMP](https://gmplib.org/) and OpenSSL
@ -245,39 +278,6 @@ getStr() method gets
`G2::set()`, `G2::setStr` and `operator<<` also check the order. `G2::set()`, `G2::setStr` and `operator<<` also check the order.
If you check it out of the library, then you can stop the verification by calling `G2::setOrder(0)`. If you check it out of the library, then you can stop the verification by calling `G2::setOrder(0)`.
# Benchmark
A benchmark of a BN curve CurveFp254BNb(2016/12/25).
* x64, x86 ; Inte Core i7-6700 3.4GHz(Skylake) upto 4GHz on Ubuntu 16.04.
* `sudo cpufreq-set -g performance`
* arm ; 900MHz quad-core ARM Cortex-A7 on Raspberry Pi2, Linux 4.4.11-v7+
* arm64 ; 1.2GHz ARM Cortex-A53 [HiKey](http://www.96boards.org/product/hikey/)
software | x64| x86| arm|arm64(msec)
---------------------------------------------------------|------|-----|----|-----
[ate-pairing](https://github.com/herumi/ate-pairing) | 0.21 | - | - | -
mcl | 0.31 | 1.6 |22.6| 3.9
[TEPLA](http://www.cipher.risk.tsukuba.ac.jp/tepla/) | 1.76 | 3.7 | 37 | 17.9
[RELIC](https://github.com/relic-toolkit/relic) PRIME=254| 0.30 | 3.5 | 36 | -
[MIRACL](https://github.com/miracl/MIRACL) ake12bnx | 4.2 | - | 78 | -
[NEONabe](http://sandia.cs.cinvestav.mx/Site/NEONabe) | - | - | 16 | -
* compile option for RELIC
```
cmake -DARITH=x64-asm-254 -DFP_PRIME=254 -DFPX_METHD="INTEG;INTEG;LAZYR" -DPP_METHD="LAZYR;OATEP"
```
# Higher-bit BN curve benchmark by mcl
see `test/bn384_test.cpp` and `test/bn512_test.cpp`.
## Benchmark on Kaby Lake Core i7-7700(3.6GHz)
paramter | x64(msec)|
----------------|------------|
CurveFpBN254BNb | 0.34|
CurveFp382_1 | 0.95|
CurveFp461 | 2.16|
# How to make asm files (optional) # How to make asm files (optional)
The asm files generated by this way are already put in `src/asm`, then it is not necessary to do this. The asm files generated by this way are already put in `src/asm`, then it is not necessary to do this.

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