6. Novas Ferramentas para Processamento de Sinais em Corpos Finitos

In this paper, the concept of Galoisian ring is introduced aiming at the development of new tools for the processing of signals defined over finite fields.
The notions of k-trigonometric functions over the finite field GF(p^m) are defined, and a few of its properties investigated. Some applications of the new tools are suggested.