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Permutation polynomials and factorization

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Abstract

We discuss a special class of permutation polynomials over finite fields focusing on some recent work on their factorization. In particular we obtain permutation polynomials with various factorization patterns that are favoured for applications. We also address a wide range of problems of current interest concerning irreducible factors of the terms of sequences and iterations of such permutation polynomials.

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Authors and Affiliations

  1. Sabancı University, MDBF, Orhanlı, 34956 Tuzla, Istanbul, Turkey

    Tekgül Kalaycı, Henning Stichtenoth & Alev Topuzoğlu

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  1. Tekgül Kalaycı
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  2. Henning Stichtenoth
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  3. Alev Topuzoğlu
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Correspondence to Alev Topuzoğlu.

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This article belongs to the Topical Collection: Boolean Functions and Their Applications IV

Guest Editors: Lilya Budaghyan and Tor Helleseth

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Kalaycı, T., Stichtenoth, H. & Topuzoğlu, A. Permutation polynomials and factorization. Cryptogr. Commun. 12, 913–934 (2020). https://doi.org/10.1007/s12095-020-00446-y

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