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
收藏
页码：633 / 646
页数：14
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