Classification of 64-element finite semifields

I. F. Rúa, Elías F. Combarro, José Ranilla · arXiv (Cornell University) · 2008

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.

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