mcl

A class library of finite field and elliptic curve.

Abstract

This is a library to make a protocol for elliptic curve cryptography. This library contains mie and Lifted-ElGamal.

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

cd mcl
make ARCH=x86 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
• Faster Explicit Formulas for Computing Pairings over Ordinary Curves, D.F. Aranha, K. Karabina, P. Longa, C.H. Gebotys, J. Lopez, EUROCRYPTO 2011, (preprint)
• High-Speed Software Implementation of the Optimal Ate Pairing over Barreto-Naehrig Curves, Jean-Luc Beuchat, Jorge Enrique González Díaz, Shigeo Mitsunari, Eiji Okamoto, Francisco Rodríguez-Henríquez, Tadanori Teruya, Pairing 2010, (preprint)
• Faster hashing to G2,Laura Fuentes-Castañeda, Edward Knapp, Francisco Rodríguez-Henríquez, SAC 2011, (preprint)

Author

光成滋生 MITSUNARI Shigeo(herumi@nifty.com)