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https://hdl.handle.net/20.500.11851/7340
Title: | Quadratic Forms of Codimension 2 Over Finite Fields Containing F-4 and Artin-Schreier Type Curves |
Authors: | Özbudak, Ferruh Saygı, Elif Saygı, Zülfükar |
Keywords: | Artin-Schreier type curve Quadratic form Maximal curve |
Publisher: | Academic Press Inc Elsevier Science |
Abstract: | Let F-q be a finite field containing F-4. Let k >= 2 be an integer. We give a full classification of quadratic forms over F-q(k) of codimension 2 provided that certain three coefficients are from F-4. As an application of this we obtain new results on the classification of maximal and minimal curves over F-q(k) . We also give some nonexistence results on certain systems of equations over F-q(k). (C) 2011 Elsevier Inc. All rights reserved. |
URI: | https://doi.org/10.1016/j.ffa.2011.09.008 https://hdl.handle.net/20.500.11851/7340 |
ISSN: | 1071-5797 1090-2465 |
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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