A note on using finite non-abelian p-groups in the MOR cryptosystem
Ayan Mahalanobis
Abstract
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.
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