Parlar, Leyla (2012) Linearized polynomials over finite fields. [Thesis]
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Official URL: http://192.168.1.20/record=b1478885 (Table of Contents)
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 |
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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 |