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arxiv: 1304.0521 · v4 · pith:4N32VDI5new · submitted 2013-04-02 · 🧮 math.NT

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

classification 🧮 math.NT
keywords characteristicfieldsfiniteformulagivenirreduciblenumberpolynomials
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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].

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