A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups |
| |
Authors: | Ayan Mahalanobis |
| |
Affiliation: | 1. Department of Mathematical Sciences , Stevens Institute of Technology , Hoboken, New Jersey, USA Ayan.Mahalanobis@stevens.edu |
| |
Abstract: | In this article we study the MOR cryptosystem. We use the group of unitriangular matrices over a finite field as the non-abelian group in the MOR cryptosystem. We show that a cryptosystem similar to the ElGamal cryptosystem over finite fields can be built using the proposed groups and a set of automorphisms of these groups. We also show that the security of this proposed MOR cryptosystem is equivalent to the ElGamal cryptosystem over finite fields. |
| |
Keywords: | MOR cryptosystem Unitriangular matrices |
|
|