Classification of 64-element finite semifields
Rings and Algebras
2008-08-08 v2 Combinatorics
Abstract
A finite semifield is a finite nonassociative ring with identity such that the set 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.
Cite
@article{arxiv.0807.2994,
title = {Classification of 64-element finite semifields},
author = {I. F. Rúa and Elías F. Combarro and J. Ranilla},
journal= {arXiv preprint arXiv:0807.2994},
year = {2008}
}
Comments
25 pages (1 appendix)