Linearized polynomials over finite fields

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

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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
ID Code:26553
Deposited By:IC-Cataloging
Deposited On:20 Dec 2014 14:52
Last Modified:25 Mar 2019 17:11

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