Número:
5
Ano:
2014
Autor:
Saeed Tafazolian
Arnoldo Teheran-Herrera
Fernando Torres
Abstract:
We construct examples of curves defined over the finite field Fq6 which are covered by the GK-curve. Thus such curves are maximal over Fq6 although they cannot be covered by the Hermitian curve for q > 2. We also give examples of maximal curvesthat cannot be Galois covered by the Hermitian curve over the finite field Fq2n with n > 3 odd and q > 2. We point out some applications to codes related to an array coming from telescopic semigroups.
Keywords:
finite field
maximal curve
Hermitian curve
GK-curve
generalized GK-curve
Mathematics Subject Classification 2010 (MSC 2010):
11G20; 11M38; 14G15; 14H25
Arquivo: