Title :
On the Automorphism Group of Generalized Hermitian Codes
Author :
Sepulveda Castellanos, Alonso ; Chaud Tizziotti, Guilherme
Author_Institution :
Fac. de Mat., Univ. Fed. de Uberlandia, Uberlândia, Brazil
Abstract :
We determine the full automorphism group of the Generalized Hermitian curve, denoted by GH, which generalizes the Hermitian curve. The automorphism group of a code is important in Coding Theory, and in this way, we determine completely the automorphism group of the one-point AG codes over the GH curve.
Keywords :
codes; GH curve; automorphism group; generalized Hermitian codes; one-point AG codes; Encoding; Galois fields; Geometry; Polynomials; Systematics; Automorphism group; one-point AG codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2271034
