Abstract | ||
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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 |
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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 Abdón | 1 | 6 | 1.77 |
Arnaldo Garcia | 2 | 3 | 1.17 |