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The maximum number of columns in E(s2) $\,E({s}^{2})$‐optimal supersaturated designs with 16 rows and smax=4 ${s}_{{\rm{\max }}}=4$ is 60.
- Source :
-
Journal of Combinatorial Designs . Apr2023, Vol. 31 Issue 4, p165-178. 14p. - Publication Year :
- 2023
-
Abstract
- We show that the maximum number of columns in E(s2) $\,E({s}^{2})$‐optimal supersaturated designs (SSDs) with 16 rows and smax=4 ${s}_{{\rm{\max }}}=4$ is 60 by showing that there exists no resolvable 2‐(16, 8, 35) design such that any two blocks from different parallel classes intersect in 3, 5, or 4 points. This is accomplished by an exhaustive computer search that uses the parallel class intersection pattern method to reduce the search space. We also classify all nonisomorphic E(s2) $\,E({s}^{2})$‐optimal 5‐circulant SSDs with 16 rows and smax=8 ${s}_{{\rm{\max }}}=8$. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELECTRONIC information resource searching
*DATABASE searching
Subjects
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 31
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 161862924
- Full Text :
- https://doi.org/10.1002/jcd.21873