Kalaycı, Tekgül and Stichtenoth, Henning and Topuzoğlu, Alev (2020) Permutation polynomials and factorization. Cryptography and Communications, 12 (5). pp. 913-934. ISSN 1936-2447 (Print) 1936-2455 (Online)
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Official URL: http://dx.doi.org/10.1007/s12095-020-00446-y
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Permutation polynomials over finite fields; Factorization of polynomials; Sequences of polynomials; Irreducible factors; Smooth polynomials; Squarefree polynomials; Primitive irreducible divisors; Carlitz rank |
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Alev Topuzoğlu |
| Date Deposited: | 15 Sep 2020 19:37 |
| Last Modified: | 02 Aug 2023 15:15 |
| URI: | https://research.sabanciuniv.edu/id/eprint/40134 |
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Permutation polynomials and factorization. (deposited 21 Apr 2020 17:01)
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