On fundamental sets over a finite field

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 partitio...

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Bibliographic Details
Main Authors: Yousef Abbas, Joseph J. Liang
Format: Article
Language:English
Published: Wiley 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171285000394
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Summary: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.
ISSN:0161-1712
1687-0425