New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices

被引：0

作者：

Carl Bracken

Gary McGuire

Harold Ward

机构：

[1] National University of Ireland,Department of Mathematics, Maynooth Co

[2] University of Virginia,Department of Mathematics

来源：

Designs, Codes and Cryptography | 2006年 / 41卷

关键词：

Binary code; Grey–Rankin bound; Hadamard matrix; Mutually orthogonal Latin squares; Quasi-symmetric; 05B05; 05B20; 94B65;

D O I：

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中图分类号：

学科分类号：

摘要：

Using Hadamard matrices and mutually orthogonal Latin squares, we construct two new quasi-symmetric designs, with parameters 2 − (66,30,29) and 2 − (78,36,30). These are the first examples of quasi-symmetric designs with these parameters. The parameters belong to the families 2 − (2u2 − u,u2 − u,u2 − u − 1) and 2 − (2u2 + u,u2,u2 − u), which are related to Hadamard parameters. The designs correspond to new codes meeting the Grey–Rankin bound.

引用

页码：195 / 198

页数：3