Please use this identifier to cite or link to this item: 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
Issue Date: 2012
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

Show full item record

CORE Recommender

SCOPUSTM   
Citations

5
checked on Sep 23, 2022

WEB OF SCIENCETM
Citations

5
checked on Sep 24, 2022

Page view(s)

22
checked on Nov 28, 2022

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.