On a class of optimal constant weight ternary codes

被引：2

作者：

Kharaghani, Hadi ^{[1
]}

Suda, Sho ^{[2
]}

Zaitsev, Vlad ^{[1
]}

机构：

[1] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada

[2] Natl Def Acad Japan, Dept Math, Yokosuka, Kanagawa 2398686, Japan

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2023年 / 91卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Weighing matrix; Ternary code; Constant weight code; Optimal code; Johnson bound;

D O I：

10.1007/s10623-022-01096-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A weighing matrix W of order n = p(m+1)-1/p-1 and weight p(m) is constructed and shown that the rows of W and -W together form optimal constant weight ternary codes of length n, weight p(m) and minimum distance p(m-1) (p+3/2) for each odd prime power p and integer m >= 1 and thus A(3) (p(m+1)-1/p - 1, p(m-1)(p + 3/2), p(m)) = 2(p(m+1)-1/p - 1).

引用

页码：45 / 54

页数：10

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