Improved geometric goppa codes .1. Basic theory

被引：0
作者：
Feng, GL
Rao, TRN
机构：
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1995年 / 41卷 / 06期
关键词：
algebraic-geometric codes; geometric Goppa codes; fast decoding up to designed minimum distance; multilevel codes; algebraic-geometric surfaces;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we present a construction of improved geometric Goppa codes which, for the case of r<2g, are often more efficient than the current geometric Goppa codes derived from some varieties, which include algebraic curves, hyperplanes, surfaces, and other varieties. For the special case of a plane in a three-dimensional projective space, the improved geometric Goppa codes are reduced to linear multilevel codes. For these improved geometric Goppa codes, a designed minimum distance can be easily determined and a decoding procedure which corrects up to half the designed minimum distance is also given.
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收藏
页码：1678 / 1693
页数：16
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