## New advances in the computational exploration of semifields

- Elías F. Combarro, Ignacio F. Rúa, José Ranilla
- Int. J. Comput. Math.
- 2011

A finite semifield D is a finite nonassociative ring with identity such that the set D∗ = D \ {0} is closed under the product. From any finite semifield a projective plane can be constructed. In this paper we obtain new semifield planes of order 81 by means of computational methods. These computer-assisted results yield to a complete classification (up to… (More)