On E(s2)-optimal and minimax-optimal supersaturated designs with 20 rows and 76 columns

被引：3
|
作者：
Morales, Luis B. [1 ]
Bulutoglu, Dursun A. [2 ]
机构：
[1] Univ Nacl Autonoma Mexico, IIMAS, Mexico City 04510, DF, Mexico
[2] US Air Force, Inst Technol, Wright Patterson AFB, OH 45433 USA
来源：
JOURNAL OF COMBINATORIAL DESIGNS | 2018年 / 26卷 / 07期
关键词：
backtracking algorithm; maximum clique; parallel class intersection pattern method; resolvable balanced incomplete block designs; ENUMERATION; SEARCH;
D O I：
10.1002/jcd.21595
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive a previously unknown lower bound of 41 for the frequency of s max =8 of an E(s(2))-optimal and minimax-optimal supersaturated design (SSD) with 20 rows and 76 columns. This is accomplished by an exhaustive computer search that uses the combinatorial properties of resolvable 2 - (20, 10, 36) designs and the parallel class intersection pattern method. We also classify all nonisomorphic E(s(2))-optimal 4-circulant SSDs with 20 rows and s(max) = 8.
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页码：344 / 355
页数：12
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