Article ID Journal Published Year Pages File Type
4595892 Journal of Pure and Applied Algebra 2016 11 Pages PDF
Abstract

We construct examples of curves defined over the finite field Fq6Fq6 which are covered by the GK-curve. Thus such curves are maximal over Fq6Fq6 although they cannot be covered by the Hermitian curve for q>2q>2. We also give examples of maximal curves that cannot be Galois covered by the Hermitian curve over the finite field Fq2nFq2n with n>3n>3 odd and q>2q>2. We point out some applications to codes related to an array coming from telescopic semigroups.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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