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

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