Generalized Combining of Elements From Finite Fields

Abstract

In a recent paper Raktoe [1969] has presented a new approach and also a generalized technique to combining elements from distinct finite fields. The results however were related only to distinct prime fields i.e. each of the Galois fields in question consisted of residue classes modulo a prime. This paper solves the problem of combining elements of the most general case, i.e. the fields are not necessarily based on distinct primes and they can be prime powered.