Cyclic quasi-symmetric designs and self-orthogonal codes of length 63

被引：0

作者：

Sarami, Chekad ^{[2
]}

Tonchev, Vladimir D. ^{[1
]}

机构：

[1] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

[2] Fayetteville State Univ, Dept Math & Comp Sci, Fayetteville, NC 28301 USA

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2008年 / 138卷 / 01期

关键词：

quasi-symmetric design; cyclic code; finite geometry; MATRICES;

D O I：

10.1016/j.jspi.2007.05.022

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The enumeration of binary cyclic self-orthogonal codes of length 63 is used to prove that any cyclic quasi-symmetric 2-(63, 15, 35) design with block intersection numbers x = 3 and y = 7 is isomorphic to the geometric design having as blocks the three-dimensional subspaces in PG(5, 2). (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：80 / 85

页数：6

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