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On E( s 2 )‐optimal and minimax‐optimal supersaturated designs with 20 rows and 76 columns
Author(s) -
Morales Luis B.,
Bulutoglu Dursun A.
Publication year - 2018
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21595
Subject(s) - row , minimax , mathematics , combinatorics , circulant matrix , row and column spaces , optimal design , intersection (aeronautics) , discrete mathematics , mathematical optimization , computer science , statistics , database , engineering , aerospace engineering
We derive a previously unknown lower bound of 41 for the frequency ofs 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 ands max = 8 .