Linkage and codes on complete intersections

被引：27
|
作者：
Hansen, JP [1 ]
机构：
[1] Aarhus Univ, Inst Math, DK-8000 Aarhus C, Denmark
[2] Inst Math Luminy, F-13288 Marseille, France
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2003年 / 14卷 / 03期
关键词：
liason; linkage; complete intersections; error-correcting codes; Generalized Reed-Muller codes;
D O I：
10.1007/s00200-003-0119-3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This note is meant to be an introduction to cohomological methods and their use in the theory of error-correcting codes. In particular we consider evaluation codes on a complete intersection. The dimension of the code is determined by the Koszul complex for X subset of P-2 and a lower bound for the minimal distance is obtained through linkage. By way of example our result fits the well-known formula for the minimal distance of the Generalized Reed-Muller code.
引用
收藏
页码：175 / 185
页数：11
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