Symmetric Block Designs and Optimal Equidistant Codes

被引：1

作者：

Bassalygo, L. A. ^{[1
]}

Zinoviev, V. A. ^{[1
]}

Lebedev, V. S. ^{[1
]}

机构：

[1] Russian Acad Sci, Kharkevich Inst Informat Transmiss Problems, Moscow, Russia

来源：

PROBLEMS OF INFORMATION TRANSMISSION | 2020年 / 56卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

block design; symbolwise uniform code; equidistant code;

D O I：

10.1134/S0032946020030023

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We prove that any symmetric block design (v, k, lambda) generates optimal ternary and quaternary constant-weight equidistant codes, whose parametersn, N, w, d, qare uniquely determined by the parameters of the block design. For one rather special case, we construct symbolwise uniform equidistant codes of the minimum length.

引用

页码：245 / 252

页数：8