International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 2, Pages 373-388
doi:10.1155/S0161171285000394
  
     
          
          On fundamental sets over a finite field
          
            Yousef Abbas
             and Joseph J. Liang
          
          Department of Mathematics, University of South Florida, Tampa 33620, Florida, USA
          
          Abstract
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.