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

页码：139 / 151

页数：13

共 50 条

[1] Construction of self-dual matrix codes
Galvez, Lucky Erap
Kim, Jon-Lark
DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (08) : 1541 - 1560
[2] Construction of self-dual matrix codes
Lucky Erap Galvez
Jon-Lark Kim
Designs, Codes and Cryptography, 2020, 88 : 1541 - 1560
[3] Construction of reversible self-dual codes
Kim, Hyun Jin
Choi, Whan-Hyuk
Lee, Yoonjin
FINITE FIELDS AND THEIR APPLICATIONS, 2020, 67
[4] Construction of long MDS self-dual codes from short codes
Xie, Derong
Fang, Xiaolei
Luo, Jinquan
FINITE FIELDS AND THEIR APPLICATIONS, 2021, 72
[5] On Euclidean self-dual codes and isometry codes
Sok, Lin
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2022, 33 (01) : 73 - 89
[6] On Euclidean self-dual codes and isometry codes
Lin Sok
Applicable Algebra in Engineering, Communication and Computing, 2022, 33 : 73 - 89
[7] CONSTRUCTION OF SELF-DUAL CODES WITH AN AUTOMORPHISM OF ORDER p
Kim, Hyun Jin
Lee, Heisook
Lee, June Bok
Lee, Yoonjin
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2011, 5 (01) : 23 - 36
[8] On self-dual permutation codes
Fan Yun
Yuan Yuan
ACTA MATHEMATICA SCIENTIA, 2008, 28 (03) : 633 - 638
[9] ON SELF-DUAL PERMUTATION CODES
樊恽
袁媛
Acta Mathematica Scientia, 2008, (03) : 633 - 638
[10] EULERIAN SELF-DUAL CODES
BABAI, L
ORAL, H
PHELPS, KT
SIAM JOURNAL ON DISCRETE MATHEMATICS, 1994, 7 (02) : 325 - 330

← 1 2 3 4 5 →