International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 2, Pages 373-388

On fundamental sets over a finite field

Yousef Abbas and Joseph J. Liang

Department of Mathematics, University of South Florida, Tampa 33620, Florida, USA

Received 3 March 1983

Copyright © 1985 Yousef Abbas and Joseph J. Liang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A partition over finite field is defined and each equivalence class is constructed and represented by a set called the fundamental set. If a primitive element is used to construct the addition table over these fundamental sets then all additions over the field can be computed. The number of partitions is given for some finite fields.