The MOR cryptosystem and extra-special $p$-groups

TL;DR

This paper explores the use of automorphism groups of extra-special p-groups in the MOR cryptosystem, providing insights into its structure and potential cryptographic applications.

Contribution

It introduces a novel approach to the MOR cryptosystem leveraging the automorphism groups of specific extra-special p-groups.

Findings

Automorphism groups of extra-special p-groups are suitable for cryptographic schemes.

Results extend to groups of exponent p^2 and even primes.

Provides a framework for future cryptographic constructions using these groups.

Abstract

This paper studies the MOR cryptosystem, using the automorphism group of the extra-special $p$-group of exponent $p$, for an odd prime $p$. Similar results can be obtained for extra-special $p$-groups of exponent $p^2$ and for the even prime.