A note on using finite non-abelian $p$-groups in the MOR cryptosystem
<|reference_start|>A note on using finite non-abelian $p$-groups in the MOR cryptosystem: The MOR cryptosystem is a natural generalization of the El-Gamal cryptosystem to non-abelian groups. Using a $p$-group, a cryptosystem was built by this author in 'A simple generalization of El-Gamal cryptosystem to non-abelian groups'. It seems reasonable to assume the cryptosystem is as secure as the El-Gamal cryptosystem over finite fields. A natural question arises can one make a better cryptosystem using $p$-groups? In this paper we show that the answer is no.<|reference_end|>
@article{mahalanobis2007a,
    title={A note on using finite non-abelian $p$-groups in the MOR cryptosystem},
    author={Ayan Mahalanobis},
    journal={arXiv preprint arXiv:cs/0702095},
    year={2007},
    archivePrefix={arXiv},
    eprint={cs/0702095},
    primaryClass={cs.CR math.GR}
}