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On the construction of irreducible self-reciprocal polynomials over finite fields

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Abstract

The transformationf(x)↦f Q x≔deg(f) f(x + 1/x) for f(x)∈\(\mathbb{F}_q [x]\) is studied. Simple criteria are given for the case that the irreducibility off is inherited by the self-reciprocal polynomialf Q. Infinite sequences of irreducible self-reciprocal polynomials are constructed by iteration of thisQ-transformation.

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  1. I.M.M.D., Informatik 1, Universität Erlangen-Nürnberg, Martensstraße 3, D-8520, Erlangen, FRG

    Helmut Meyn

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  1. Helmut Meyn
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Meyn, H. On the construction of irreducible self-reciprocal polynomials over finite fields. AAECC 1, 43–53 (1990). https://doi.org/10.1007/BF01810846

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  • DOI: https://doi.org/10.1007/BF01810846

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