Architectures for Multiplication in Galois Rings

Abstract: This thesis investigates architectures for multiplying elements in Galois rings of the size 4^m, where m is an integer. The main question is whether known architectures for multiplying in Galois fields can be used for Galois rings also, with small modifications, and the answer to that question is that they can. Different representations for elements in Galois rings are also explored, and the performance of multipliers for the different representations is investigated.