Irreducible polynomials with consecutive zero coefficients

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Irreducible polynomials with consecutive zero coefficients

Given an integer n > 1, it has been proved independently by S.D. Cohen [2] and R. Ree [13], that for all large enough q, there always is an irreducible polynomial over Fq of the form T +T +a. However, much less is known when q is fixed and n large. In [10], T. Hansen and G.L. Mullen conjecture that given integers n > m ≥ 0 there exists a monic irreducible polynomial over Fq of degree n with the...

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ژورنال

عنوان ژورنال: Finite Fields and Their Applications

سال: 2008

ISSN: 1071-5797

DOI: 10.1016/j.ffa.2006.11.002