Generalized AG codes and generalized duality

被引：8
|
作者：
Dorfer, G
Maharaj, H
机构：
[1] Vienna Univ Technol, Dept Algebra & Computat Math, A-1040 Vienna, Austria
[2] Austrian Acad Sci, Inst Discrete Math, A-1010 Vienna, Austria
[3] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2003年 / 9卷 / 02期
关键词：
Goppa codes; algebraic curves; algebraic function fields; duality;
D O I：
10.1016/S1071-5797(02)00027-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In (J. Pure Appl. Algebra 55 (1988) 199). Stichtenoth gave sufficient conditions for algebraic-geometric Goppa codes to be self-dual, We adapt this work using differentials to the setting of generalized AG codes introduced by Xing et al. (IEEE Trans. Inform. Theory 45 (1999) 2498). As a consequence we are naturally led to generalized notions of duality for codes. Many examples are presented. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：194 / 210
页数：17
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