Title :
Improved multipoint codes from Hermitian curves
Author :
Fujisawa, Masahiko ; Sakata, Shiro
Author_Institution :
Dept. of Ind. Manage. & Eng., Tokyo Univ. of Sci., Tokyo, Japan
Abstract :
Multipoint codes are a broad class of algebraic geometry codes derived from algebraic functions which have multiple poles and/or zeros on their defining curves. Thus, they are more general than one-point codes which are an important class of algebraic codes. In this paper, we give several improved codes of multipoint codes derived from Hermitian curves by using an improving method introduced by Feng and Rao for one-point codes.
Keywords :
Hermitian matrices; algebraic codes; geometric codes; Hermitian curves; algebraic functions; algebraic geometry codes; improved multipoint codes; one-point codes; Cost accounting; Decoding; Educational institutions; Geometry; Poles and zeros; Polynomials; Redundancy;
Conference_Titel :
Information Theory and its Applications (ISITA), 2012 International Symposium on
Conference_Location :
Honolulu, HI
Print_ISBN :
978-1-4673-2521-9
