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@ -27,6 +27,39 @@ p(z) = 36z^4 + 36z^3 + 24z^2 + 6z + 1. |
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* CurveFp381 ; a BN curve over the 381-bit prime p(z) where z = -(2^94 + 2^76 + 2^72 + 1). |
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* CurveFp462 ; a BN curve over the 462-bit prime p(z) where z = 2^114 + 2^101 - 2^14 - 1. |
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# Benchmark |
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A benchmark of a BN curve CurveFp254BNb(2016/12/25). |
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* x64, x86 ; Inte Core i7-6700 3.4GHz(Skylake) upto 4GHz on Ubuntu 16.04. |
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* `sudo cpufreq-set -g performance` |
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* arm ; 900MHz quad-core ARM Cortex-A7 on Raspberry Pi2, Linux 4.4.11-v7+ |
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* arm64 ; 1.2GHz ARM Cortex-A53 [HiKey](http://www.96boards.org/product/hikey/) |
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software | x64| x86| arm|arm64(msec) |
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---------------------------------------------------------|------|-----|----|----- |
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[ate-pairing](https://github.com/herumi/ate-pairing) | 0.21 | - | - | - |
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mcl | 0.31 | 1.6 |22.6| 3.9 |
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[TEPLA](http://www.cipher.risk.tsukuba.ac.jp/tepla/) | 1.76 | 3.7 | 37 | 17.9 |
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[RELIC](https://github.com/relic-toolkit/relic) PRIME=254| 0.30 | 3.5 | 36 | - |
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[MIRACL](https://github.com/miracl/MIRACL) ake12bnx | 4.2 | - | 78 | - |
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[NEONabe](http://sandia.cs.cinvestav.mx/Site/NEONabe) | - | - | 16 | - |
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* compile option for RELIC |
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``` |
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cmake -DARITH=x64-asm-254 -DFP_PRIME=254 -DFPX_METHD="INTEG;INTEG;LAZYR" -DPP_METHD="LAZYR;OATEP" |
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``` |
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## Higher-bit BN curve benchmark by mcl |
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see `test/bn384_test.cpp` and `test/bn512_test.cpp`. |
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## Benchmark on Kaby Lake Core i7-7700(3.6GHz) |
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paramter | x64(msec)| |
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----------------|------------| |
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CurveFpBN254BNb | 0.34| |
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CurveFp382_1 | 0.95| |
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CurveFp461 | 2.16| |
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# Installation Requirements |
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* [GMP](https://gmplib.org/) and OpenSSL |
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@ -245,39 +278,6 @@ getStr() method gets |
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`G2::set()`, `G2::setStr` and `operator<<` also check the order. |
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If you check it out of the library, then you can stop the verification by calling `G2::setOrder(0)`. |
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# Benchmark |
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A benchmark of a BN curve CurveFp254BNb(2016/12/25). |
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* x64, x86 ; Inte Core i7-6700 3.4GHz(Skylake) upto 4GHz on Ubuntu 16.04. |
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* `sudo cpufreq-set -g performance` |
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* arm ; 900MHz quad-core ARM Cortex-A7 on Raspberry Pi2, Linux 4.4.11-v7+ |
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* arm64 ; 1.2GHz ARM Cortex-A53 [HiKey](http://www.96boards.org/product/hikey/) |
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software | x64| x86| arm|arm64(msec) |
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---------------------------------------------------------|------|-----|----|----- |
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[ate-pairing](https://github.com/herumi/ate-pairing) | 0.21 | - | - | - |
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mcl | 0.31 | 1.6 |22.6| 3.9 |
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[TEPLA](http://www.cipher.risk.tsukuba.ac.jp/tepla/) | 1.76 | 3.7 | 37 | 17.9 |
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[RELIC](https://github.com/relic-toolkit/relic) PRIME=254| 0.30 | 3.5 | 36 | - |
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[MIRACL](https://github.com/miracl/MIRACL) ake12bnx | 4.2 | - | 78 | - |
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[NEONabe](http://sandia.cs.cinvestav.mx/Site/NEONabe) | - | - | 16 | - |
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* compile option for RELIC |
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``` |
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cmake -DARITH=x64-asm-254 -DFP_PRIME=254 -DFPX_METHD="INTEG;INTEG;LAZYR" -DPP_METHD="LAZYR;OATEP" |
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``` |
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# Higher-bit BN curve benchmark by mcl |
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see `test/bn384_test.cpp` and `test/bn512_test.cpp`. |
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## Benchmark on Kaby Lake Core i7-7700(3.6GHz) |
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paramter | x64(msec)| |
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----------------|------------| |
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CurveFpBN254BNb | 0.34| |
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CurveFp382_1 | 0.95| |
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CurveFp461 | 2.16| |
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# How to make asm files (optional) |
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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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