CONSTRUCTION FOR BOTH SELF-DUAL CODES AND LCD CODES

被引：11
作者：
Ishizuka, Keita [1 ]
Saito, Ken [1 ]
机构：
[1] Tohoku Univ, Grad Sch Informat Sci, Res Ctr Pure & Appl Math, Sendai, Miyagi 9808579, Japan
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2023年 / 17卷 / 01期
关键词：
Linear complementary dual code; self-dual code; doubly even code; hull dimension; optimal LCD code;
D O I：
10.3934/amc.2021070
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
From a given [n, k] code C, we give a method for constructing many [n, k] codes C' such that the hull dimensions of C and C' are identical. This method can be applied to constructions of both self-dual codes and linear complementary dual codes (LCD codes for short). Using the method, we construct 661 new inequivalent extremal doubly even [56, 28, 12] codes. Furthermore, constructing LCD codes by the method, we improve some of the previously known lower bounds on the largest minimum weights of binary LCD codes of length 26 <= n <= 40.
引用
收藏
页码：139 / 151
页数：13
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