Title
On a characterization of certain maximal curves
Abstract
For a F"q"^"2-maximal curve X of genus (q/n-1)q/2, where q/n is a nongap at some point, we show that X is F"q"^"2-isomorphic to the nonsingular model of a curve given by P(y)=A(x), where P is an additive separable polynomial of degree q/n and where A is a polynomial of degree q+1, under the further hypothesis that a certain field extension is Galois. In the particular case n=p=char(F"q"^"2) we were able to characterize such maximal curves without the assumption that a certain extension is Galois.
Year
DOI
Venue
2004
10.1016/j.ffa.2003.06.002
Finite Fields and Their Applications
Keywords
Field
DocType
certain maximal curve,additive separable polynomial,particular case n,2-maximal curve x,certain field extension,nonsingular model,degree q,certain extension,maximal curve,finite field
Additive polynomial,Combinatorics,Finite field,Algebra,Polynomial,Separable polynomial,Field extension,Invertible matrix,Mathematics
Journal
Volume
Issue
ISSN
10
2
1071-5797
Citations 
PageRank 
References 
2
0.79
0
Authors
2
Name
Order
Citations
PageRank
Miriam Abdón161.77
Arnaldo Garcia231.17