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Section B

Finite semifields with 74 elements

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Pages 1865-1878 | Received 23 Sep 2011, Accepted 03 Apr 2012, Published online: 14 May 2012
 

Abstract

In this paper, a highly demanding computer-assisted classification of four-dimensional finite semifields over the field 𝔽7 is provided. The techniques considered to overcome the difficulties in the management of the large data processed are explained.

2010 AMS Subject Classifications:

Acknowledgements

The authors thank the Centro de Supercomputación y Visualización de Madrid (CeSViMa) and the Spanish Supercomputing Network for providing the computer resources, technical expertise and assistance. They also thank the University of Oviedo SCTs (Servicios Científico Técnicos) for the use of their ‘Cluster de Modelización’. E.F. Combarro and J. Ranilla are partially supported by MICINN-TIN2010-14971, and I.F. Rúa is partially supported by MTM2010-18370-C04-01 and IB08-147.

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