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Fast, multiprocess implementation in Python of the RoCa vulnerability of RSA keys

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roca-speed

Fast, multiprocess implementation in Python of the RoCa vulnerability of RSA keys

Installation instructions

Ubuntu 18.04

Install Python 2.7 and pip

sudo apt-get install python-minimal && sudo apt-get install python-pip

We need Cython because it's a requirement for python-flint, grab it with pip

sudo pip install Cython

libgmp should be already installed in Ubuntu 16.04, but if it isn't:

sudo apt-get install libgmp-dev

We also need the multiprecision library for floats mpfr, it's a requirement for FLINT C. It should be already installed in ubuntu 18.04, but not in ubuntu 16.04

sudo apt-get install libmpfr6

This script uses the FLINT C library to factor polynomials, it's way faster and easier to use than Sympy, it's in the ubuntu repo:

sudo apt-get install libflint-dev

We also need arb because it's a requirement for python-flint (TODO: remove this dependancy, arb is not needed for our stuff..) Additionally the version in the repository is too old, and we need to compile from source, ARGH!

wget https://github.com/fredrik-johansson/arb/archive/2.16.0.tar.gz
tar -xvf 2.16.0.tar.gz
cd arb-2.16.0/
./configure
make
sudo make install

We need numpy because the python-flint installer uses it... TODO: remove this dependency

sudo pip install numpy

Now install python-flint

sudo pip install python-flint

Now we need to install fplll(fastest lll implementation)

sudo apt-get install libfplll-dev

Now we install the python wrapper for lll, from the package manager and not pip, because the version in the pip repo has some issues

sudo apt-get install python-fpylll

Install gmpy2 (used to test primality) and the library associated with it:

sudo apt-get install libmpc-dev
sudo pip install gmpy2

And finally clone this repo and run some tests:

git clone https://github.com/lvenuto/roca-speed
cd roca-speed
python2 test.py

Mac os X

The easiest way to install the requirements is through Brew

/usr/bin/ruby -e "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/master/install)"

This script runs on Python 2.7, install it if you haven't already

brew install python2

We need Cython because it's a requirement for python-flint

brew install cython

We need the multiprecision library gmp, because it's a requirement for FLINT C

brew install gmp

We also need the multiprecision library for floats mpfr, it's a requirement for FLINT C

This script uses the FLINT C library to factor polynomials, it's way faster and easier to use than Sympy, but it's not in the brew repo, so we need to compile it.

brew install wget
wget http://www.flintlib.org/flint-2.5.2.tar.gz
tar -xvf flint-2.5.2.tar.gz
cd flint-2.5.2
./configure
./make
#Takes 10 minutes
./make install

We also need arb because it's a requirement for python-flint

wget https://github.com/fredrik-johansson/arb/archive/2.15.1.tar.gz
cd arb-2.15.1
./configure
make
make install

Now with pip we can install python-flint

pip install python-flint

Now we need fpylll and fplll for the lll reduction First we need to create the configure script, so either get it from: Download or

brew install autoconf
brew install automake
brew install libtool

Then clone the repo containing fplll (fastest lll implementation) and there it is, another round of compile-action!

git clone https://github.com/fplll/fplll
cd fplll
./autogen.sh #necessary only if you haven't downloaded the configure file
./configure
./make
./make install

Now pip comes in handy again:

pip install cysignals
pip install fpylll

The installation of fpylll fails because:

  build/src/fpylll/fplll/integer_matrix.cpp:691:10: fatal error: 'fplll/pruner.h' file not found
  #include "fplll/pruner.h"
           ^~~~~~~~~~~~~~~~
  1 error generated.
  error: command 'clang' failed with exit status 1

pruner.h has been moved, the simplest way is to create a symbolic link:

cd /usr/local/include
ln -s pruner/pruner.h pruner.h

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Fast, multiprocess implementation in Python of the RoCa vulnerability of RSA keys

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