Generalized geometric Goppa codes

被引：8

作者：

Heydtmann, AE ^{[1
]}

机构：

[1] Tech Univ Denmark, Dept Math, DK-2800 Kongens Lyngby, Denmark

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 06期

关键词：

D O I：

10.1081/AGB-120003988

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Conventional geometric Goppa codes are defined in terms of functions of an algebraic function field associated with a divisor evaluated in places of degree 1. The generalization that will be treated here allows evaluations in places of arbitrary degree. With the appropriate inner product, the dual of the code can be defined and described in terms of Weil differentials similarly to conventional geometric Goppa codes. A decoding algorithm is derived.

引用

页码：2763 / 2789

页数：27

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