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 |
Show full item record
CORE Recommender
SCOPUSTM
Citations
3
checked on Aug 16, 2025
WEB OF SCIENCETM
Citations
2
checked on Dec 21, 2024
Page view(s)
214
checked on Aug 18, 2025
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.