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arXiv · 0803.0411

New Semifield Planes of order 81

I. F. Rúa·E. F. Combarro
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Abstract

A finite semifield is a finite nonassociative ring with identity such that the set of its nonzero elements is closed under the product. From any finite semifield a projective plane can be constructed. In this paper we obtain new semifield planes of orders 81 by means of computational methods. These computer-assisted results yield to a complete classification (up to isotopy) of 81-element finite semifields.

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I. F. Rúa, E. F. Combarro. 2008-07-31. New Semifield Planes of order 81. https://arxiv.org/abs/0803.0411

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