A note on using finite non-abelian $p$-groups in the MOR cryptosystem

Ayan Mahalanobis

A note on using finite non-abelian $p$-groups in the MOR cryptosystem

密码学与安全 2007-05-23 v1 群论

作者: Ayan Mahalanobis

摘要

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.

引用

@article{arxiv.cs/0702095,
  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}
}

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