BLOCK DESIGNS FROM SELF-DUAL CODES OBTAINED FROM PALEY DESIGNS AND PALEY GRAPHS

被引：0

作者：

Crnkovic, Dean ^{[1
]}

Grbac, Ana ^{[1
]}

Svob, Andrea ^{[1
]}

机构：

[1] Univ Rijeka, Fac Math, Rijeka 51000, Croatia

来源：

GLASNIK MATEMATICKI | 2023年 / 58卷 / 02期

关键词：

Paley design; Paley graph; self-dual code; block design; DOUBLE CIRCULANT CODES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In 2002, P. Gaborit introduced two constructions of selfdual codes using quadratic residues, so-called pure and bordered construction, as a generalization of the Pless symmetry codes. In this paper, we further study conditions under which the pure and the bordered construction using Paley designs and Paley graphs yield self-dual codes. Special attention is given to the binary and ternary codes. Further, we construct tdesigns from supports of the codewords of a particular weight in the binary and ternary codes obtained.

引用

页码：167 / 179

页数：13

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