On extremal and near-extremal self-dual ternary codes

被引：0

作者：

Pender, Thomas ^{[1
]}

机构：

[1] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

来源：

DISCRETE MATHEMATICS | 2024年 / 347卷 / 06期

关键词：

Self-dual codes; Extremal codes; Near-extremal codes; Ternary codes; Orthogonal designs; Weight enumerators;

D O I：

10.1016/j.disc.2024.113968

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A computational approach to using plug-in arrays, circulant matrices, and negacirculant matrices in the construction and enumeration of extremal and near-extremal self -dual ternary codes. Isomorphism classes of such codes obtainable from orthogonal designs of dimensions 2, 4, and 8 are completely enumerated for several lengths. Additionally, partial searches are conducted for larger lengths, and weight enumerators are derived for nearextremal codes. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

引用

页数：25

共 50 条

[21] On involutions in extremal self-dual codes and the dual distance of semi self-dual codes
Borello, Martino
Nebe, Gabriele
FINITE FIELDS AND THEIR APPLICATIONS, 2015, 33 : 80 - 89
[22] Near-Extremal Type I Self-Dual Codes with Minimal Shadow over GF (2) and GF (4)
Han, Sunghyu
INFORMATION, 2018, 9 (07)
[23] Construction of new extremal self-dual codes
Gulliver, TA
Harada, M
Kim, JL
DISCRETE MATHEMATICS, 2003, 263 (1-3) : 81 - 91
[24] On extremal self-dual codes of length 120
de la Cruz, Javier
DESIGNS CODES AND CRYPTOGRAPHY, 2015, 75 (02) : 243 - 252
[25] On Extremal Self-Dual Codes of Length 96
de la Cruz, Javier
Willems, Wolfgang
IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (10) : 6820 - 6823
[26] On extremal self-dual codes of length 120
Javier de la Cruz
Designs, Codes and Cryptography, 2015, 75 : 243 - 252
[27] ON INEQUIVALENCE OF SOME EXTREMAL SELF-DUAL CODES
TONCHEV, VD
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1983, 36 (02): : 181 - 184
[28] ON THE PERFORMANCE OF BINARY EXTREMAL SELF-DUAL CODES
Bouyuklieva, Stefka
Malevich, Anton
Willems, Wolfgang
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2011, 5 (02) : 267 - 274
[29] ON THE COVERING RADIUS OF EXTREMAL SELF-DUAL CODES
ASSMUS, EF
PLESS, V
IEEE TRANSACTIONS ON INFORMATION THEORY, 1983, 29 (03) : 359 - 363
[30] EXISTENCE OF CERTAIN EXTREMAL SELF-DUAL CODES
TSAI, HP
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) : 501 - 504

← 1 2 3 4 5 →