On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials

DOI10.1016/j.ffa.2012.03.001zbMath1260.11073OpenAlexW4206668027WikidataQ122962386 ScholiaQ122962386MaRDI QIDQ439094

Giorgos Kapetanakis, Theodoulos Garefalakis

Publication date: 1 August 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.03.001

zbMATH Keywords

finite fieldscharacter sumsself-reciprocal polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Estimates on character sums (11L40)

Related Items (6)

Prescribing coefficients of invariant irreducible polynomials ⋮ Enumeration of self-reciprocal irreducible monic polynomials with prescribed leading coefficients over a finite field ⋮ New estimates and existence results about irreducible polynomials and self-reciprocal irreducible polynomials with prescribed coefficients over a finite field ⋮ A note on the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials ⋮ The number of irreducible polynomials over finite fields of characteristic 2 with given trace and subtrace ⋮ Self-reciprocal and self-conjugate-reciprocal irreducible factors of \(x^n - \lambda\) and their applications

Cites Work

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• Distribution of irreducible polynomials of small degrees over finite fields
• PRIMITIVE POLYNOMIALS WITH PRESCRIBED SECOND COEFFICIENT
• Reversible codes
• Some theorems on irreducible reciprocal polynomials over a finite field.

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