On the primitivity of four-dimensional finite semifields

We prove that any finite semifield of dimension four over its center Fq is right and left primitive, provided that q is odd and sufficiently large.

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Bibliographic Details
Published in:	Finite fields and their applications Vol. 33; pp. 212 - 229
Main Author:	Rúa, I.F.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-05-2015
Subjects:	Finite semifield Norm form Primitive element Quadratic form Finite semifield 12K10 Quadratic form Norm form 17099 Primitive element
Online Access:	Get full text
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Description
Summary:	We prove that any finite semifield of dimension four over its center Fq is right and left primitive, provided that q is odd and sufficiently large.
ISSN:	1071-5797 1090-2465
DOI:	10.1016/j.ffa.2014.12.009