Generalized hamming weights of q-ary Reed-Muller codes

被引：89
|
作者：
Heijnen, P [1 ]
Pellikaan, R [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1998年 / 44卷 / 01期
关键词：
algebraic-geometry codes; generalized Hamming weights; order functions; Reed-Muller codes;
D O I：
10.1109/18.651015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the one point geometric Goppa codes as well as the q-ary Reed-Muller codes. For the latter codes it is shown that this bound is sharp and that they satisfy the double chain condition.
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页码：181 / 196
页数：16
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