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.

引用

页码：1678 / 1693

页数：16