On the Number of K-Normal Elements Over Finite Fields

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/2949

Title:	On the Number of K-Normal Elements Over Finite Fields
Authors:	Saygı, Zülfükar Tilenbaev, Ernist Ürtiş, Çetin
Keywords:	Finite fields normal bases normal elements kk-normal elements
Publisher:	TÜBİTAK
Source:	SAYGI, Z., Tilenbaev, E., & ÜRTİŞ, Ç. (2019). On the number of $ k $-normal elements over finite fields. Turkish Journal of Mathematics, 43(2), 795-812.
Abstract:	In this article we give an explicit formula for the number of kk-normal elements, hence answering Problem 6.1. of Huczynska et al. (Existence and properties of kk-normal elements over finite fields, Finite Fields Appl 2013; 24: 170-183). Furthermore, for some cases we provide formulas that require the solutions of some linear Diophantine equations. Our results depend on the explicit factorization of cyclotomic polynomials.
URI:	https://search.trdizin.gov.tr/yayin/detay/335656 https://hdl.handle.net/20.500.11851/2949 http://journals.tubitak.gov.tr/math/abstract.htm?id=24534
ISSN:	1300-0098
Appears in Collections:	Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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