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arXiv:1304.0521 [math.NT]AbstractReferencesReviewsResources

The Number of Irreducible Polynomials over Finite Fields of Characteristic 2 with Given Trace and Subtrace

Won-Ho Ri, Gum-Chol Myong, Ryul Kim, Chang-Il Rim

Published 2013-04-02, updated 2014-07-01Version 4

In this paper we obtained the formula for the number of irreducible polynomials with degree $n$ over finite fields of characteristic two with given trace and subtrace. This formula is a generalization of the result of Cattell et al.(2003) [2].

Comments: 16 pages
Journal: Finite Fields and Their Applications, Vol.29, 2014, pp.118-131
Categories: math.NT
Subjects: 11T06, 11A25, 12E20
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