QUASI-SYMMETRIC DESIGNS ON 56 POINTS

被引：6

作者：

Krcadinac, Vedran ^{[1
]}

Kruc, Renata Vlahovic ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Fac Sci, Bijenicka 30, HR-10000 Zagreb, Croatia

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2021年 / 15卷 / 04期

关键词：

Quasi-symmetric design; symmetric design; automorphism group; construction method; self-orthogonal code; UNIQUENESS; SYSTEM;

D O I：

10.3934/amc.2020086

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Computational techniques for the construction of quasi-symmetric block designs are explored and applied to the case with 56 points. One new (56, 16, 18) and many new (56,16, 6) designs are discovered, and non-existence of (56,12, 9) and (56, 20,19) designs with certain automorphism groups is proved. The number of known symmetric (78, 22, 6) designs is also significantly increased.

引用

页码：633 / 646

页数：14

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