Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595892 | Journal of Pure and Applied Algebra | 2016 | 11 Pages |
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
Authors
Saeed Tafazolian, Arnoldo Teherán-Herrera, Fernando Torres,