Classification of 64-element finite semifields

Rúa, I. F.; Combarro, Elías F.; Ranilla, J.

Classification of 64-element finite semifields

Authors

Rúa, I. F.

Combarro, Elías F.

Ranilla, J.

Description

A finite semifield $D$ is a finite nonassociative ring with identity such that the set $D^*=D\setminus\{0\}$ is closed under the product. In this paper we obtain a computer-assisted description of all 64-element finite semifields, which completes the classification of finite semifields of order 125 or less.
25 pages (1 appendix)