Designs from subcode supports of linear codes

被引：4
作者：
Britz, Thomas [2 ]
Shiromoto, Keisuke [1 ]
机构：
[1] Aichi Prefectural Univ, Dept Informat Syst, Aichi 4801198, Japan
[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2008年 / 46卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
t-design; linear code; generalized hamming weight; higher weight enumerator; Assmus-Mattson theorem;
D O I：
10.1007/s10623-007-9145-7
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We present new constructions of t-designs by considering subcode supports of linear codes over finite fields. In particular, we prove an Assmus-Mattson type theorem for such subcodes, as well as an automorphism characterization. We derive new t-designs (t <= 5) from our constructions.
引用
收藏
页码：175 / 189
页数：15
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