Semisimple multivariable -linear codes over

被引：0
|
作者：
Cao, Yonglin [1 ]
Gao, Jian [2 ,3 ]
Fu, Fang-Wei [2 ,3 ]
机构：
[1] Shandong Univ Technol, Sch Sci, Zibo 255091, Shandong, Peoples R China
[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 77卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Semisimple multivariable F-q-linear code; Semisimple abelian F-q-linear code; Dual code; Self-orthogonal code; Self-dual code; ADDITIVE CYCLIC CODES; CLASSIFICATION; F4;
D O I：
10.1007/s10623-014-9994-9
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let be a finite field of cardinality , a prime number and an extension field of with degree . The structure and canonical form decompositions of semisimple multivariable -linear codes over are presented. Enumeration and construction of these codes are then investigated. Especially, dual codes, self-orthogonality and self-duality of semisimple abelian -linear codes over are studied. Furthermore, self-dual and -self dual semisimple abelian -linear codes over are considered.
引用
收藏
页码：153 / 177
页数：25
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