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Title: Further results on rational points of the curve y(qn) - y = gamma xqh+1 - alpha over F-qm
Authors: Coşgün, Ayhan
Saygı, Zülfükar
Özbudak, Ferruh
Keywords: Artin-Schreier type curve
Rational points
Algebraic curves
Finite fields
Issue Date: Jun-2016
Publisher: Springer
Source: Cosgun, A., Ozbudak, F., & Saygi, Z. (2016). Further results on rational points of the curve y (qn)-y= gamma xqh+ 1-alpha over F-qm. DESIGNS CODES AND CRYPTOGRAPHY, 79(3), 423-441.
Abstract: Let q be a positive power of a prime number. For arbitrary positive integers h, n, m with n dividing m and arbitrary gamma, alpha is an element of F-qm with gamma not equal 0 the number of F-qm - rational points of the curve y(qn) - y = gamma x(qh+1) - alpha is determined in many cases (Ozbudak and Saygi, in: Larcher et al. (eds.) Applied algebra and number theory, 2014) with odd q. In this paper we complete some of the remaining cases for odd q and we also present analogous results for even q.
ISSN: 0925-1022
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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