|
|
|
|
# mcl
|
|
|
|
|
|
|
|
|
|
A class library of finite field and elliptic curve.
|
|
|
|
|
|
|
|
|
|
# Abstract
|
|
|
|
|
|
|
|
|
|
This is a library to make a protocol for elliptic curve cryptography.
|
|
|
|
|
|
|
|
|
|
# Installation Requirements
|
|
|
|
|
|
|
|
|
|
Create a working directory (e.g., work) and clone the following repositories.
|
|
|
|
|
```
|
|
|
|
|
mkdir work
|
|
|
|
|
cd work
|
|
|
|
|
git clone git://github.com/herumi/xbyak.git
|
|
|
|
|
git clone git://github.com/herumi/cybozulib.git
|
|
|
|
|
git clone git://github.com/herumi/cybozulib_ext.git
|
|
|
|
|
```
|
|
|
|
|
* Cybozulib_ext is a prerequisite for running OpenSSL and GMP on VC (Visual C++).
|
|
|
|
|
* Xbyak is a prerequisite for optimizing the operations in the finite field on Intel CPUs.
|
|
|
|
|
* OpenSSL and libgmp-dev are available via apt-get (or other similar commands) if using Linux.
|
|
|
|
|
|
|
|
|
|
# Build and test
|
|
|
|
|
To make lib/libmcl.a and test, run
|
|
|
|
|
```
|
|
|
|
|
make test
|
|
|
|
|
```
|
|
|
|
|
To make sample programs, run
|
|
|
|
|
```
|
|
|
|
|
make sample
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
## Build for 32-bit Linux
|
|
|
|
|
Build openssl and gmp for 32-bit mode and install <lib32>
|
|
|
|
|
```
|
|
|
|
|
cd mcl
|
|
|
|
|
make BIT=32 CFLAGS_USER="-I <lib32>/include" LDFLAGS_USER="-L <lib32>/lib -Wl,-rpath,<lib32>/lib"
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
## Build for 64-bit Windows
|
|
|
|
|
open mcl.sln and build or if you have msbuild.exe
|
|
|
|
|
```
|
|
|
|
|
msbuild /p:Configuration=Release
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
### Build with LLVM
|
|
|
|
|
require clang 3.8 or over.
|
|
|
|
|
```
|
|
|
|
|
make USE_LLVM=1 LLVM_VER=-3.8
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
# License
|
|
|
|
|
|
|
|
|
|
modified new BSD License
|
|
|
|
|
http://opensource.org/licenses/BSD-3-Clause
|
|
|
|
|
|
|
|
|
|
The original source of the followings are https://github.com/aistcrypt/Lifted-ElGamal .
|
|
|
|
|
These files are licensed by BSD-3-Clause and are used for only tests.
|
|
|
|
|
|
|
|
|
|
```
|
|
|
|
|
include/mcl/elgamal.hpp
|
|
|
|
|
include/mcl/window_method.hpp
|
|
|
|
|
test/elgamal_test.cpp
|
|
|
|
|
test/window_method_test.cpp
|
|
|
|
|
sample/vote.cpp
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
# References
|
|
|
|
|
* [ate-pairing](https://github.com/herumi/ate-pairing/)
|
|
|
|
|
* [_Faster Explicit Formulas for Computing Pairings over Ordinary Curves_](http://dx.doi.org/10.1007/978-3-642-20465-4_5),
|
|
|
|
|
D.F. Aranha, K. Karabina, P. Longa, C.H. Gebotys, J. Lopez,
|
|
|
|
|
EUROCRYPTO 2011, ([preprint](http://eprint.iacr.org/2010/526))
|
|
|
|
|
* [_High-Speed Software Implementation of the Optimal Ate Pairing over Barreto-Naehrig Curves_](http://dx.doi.org/10.1007/978-3-642-17455-1_2),
|
|
|
|
|
Jean-Luc Beuchat, Jorge Enrique González Díaz, Shigeo Mitsunari, Eiji Okamoto, Francisco Rodríguez-Henríquez, Tadanori Teruya,
|
|
|
|
|
Pairing 2010, ([preprint](http://eprint.iacr.org/2010/354))
|
|
|
|
|
* [_Faster hashing to G2_](http://dx.doi.org/10.1007/978-3-642-28496-0_25),Laura Fuentes-Castañeda, Edward Knapp, Francisco Rodríguez-Henríquez,
|
|
|
|
|
SAC 2011, ([preprint](https://eprint.iacr.org/2008/530))
|
|
|
|
|
|
|
|
|
|
# Author
|
|
|
|
|
|
|
|
|
|
光成滋生 MITSUNARI Shigeo(herumi@nifty.com)
|
