Linearized polynomials over finite fields

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Parlar, Leyla (2012) Linearized polynomials over finite fields. [Thesis]

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Abstract

We first study the ring of q-polynomials over Fq by constructing an isomorphism between this ring and the polynomial ring over Fq and by presenting several important facts about the polynomials in this ring. We also give characterizations for permutation polynomials of Fpn derived from p-polynomials over Fpn, based on a paper of P. Charpin and G. Kyureghyan. Furthermore, we present several results on q-polynomials over Fqn with kernel of any given dimension, following a paper by S. Ling and L.J. Qu.
Item Type: Thesis
Uncontrolled Keywords: Linearized polynomials. -- Permutation polynomials. -- p-to-1 mappings. -- Doğrusallaştırılan polinomlar. -- Permutasyon polinomlar. -- p'ye 1 gönderimler.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 20 Dec 2014 14:52
Last Modified: 26 Apr 2022 10:03
URI: https://research.sabanciuniv.edu/id/eprint/26553

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