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This is the implementation of the paperReturn of the Coppersmith attack.

The implementation is in python 2.7 and uses the Howgrave-Graham code fromRSA-and-LLL-attacks.

For the detection of vulnerable keys, the code from the original authors of the paper is used (detect.py)crocs-muni

PR's welcome!

$ python roca.py <path to key> -j <number of cores>

$ python optimization.py <path to key> -j <number of cores>

$ cd src$ cp ../test/test_roca.py .$ python test_roca.py

The optimization is based on an analysis of properties observed from real keys exported from affected card (Infineon JavaCard SLJ52GCA150). The parameters a' and k' turn out to have a lower entropy than stated in the original paper.

a' is fixed at the MSB and biased to be even, This is used to shrink the bruteforce range and speedup the attack.

$ sbatch slurm.sh <path to key>

data/512.pem -> Vulnerable RSA 512-bit key

LICENSE -> APACHE 2.0

README.md -> This file

requirements.txt -> Python 2.7 requirements

HPC/optimization_hpc.py -> modified attack implemetation for HPC

HPC/slurm.sh -> SLURM start script for the attack

HPC/split_iteration.py -> helper for SCRUM

src/optimization.py -> Optimized ROCA attack

src/params.py -> Used to calculate the parameters

src/roca.py -> Non-optimized attack

src/roca.sage -> Pure sage version of the attack

src/detect.py ->crocs-muni

test/test_roca.py -> Test the attack