Article
Critical sets in orthogonal arrays with 7 and 9 levels
Faculty of Informatics - Papers (Archive)
RIS ID
12894
Publication Date
1-6-2005
Abstract
To date very few results are known on the critical sets for a set of Mutually Orthogonal Latin Squares(MOLS). In this paper, we consider Orthogonal Array OA(n2, k + 2, n, 2) constructed from k mutually orthogonal cyclic latin squares of order n and obtain bounds on the possible sizes of the minimal critical sets. In particular, for n = 7 we exhibit a critical set, thereby improving the bound reported in Keedwell (1997). The problem is also addressed for n = 9 and a critical set is also presented.
Disciplines
Citation Information
R. SahaRay, Avishek Adhikari and Jennifer Seberry. "Critical sets in orthogonal arrays with 7 and 9 levels" (2005) Available at: http://works.bepress.com/jseberry/29/
This article was originally published as SahaRay, R, Adhikari, A and Seberry, J, Critical sets in orthogonal arrays with 7 and 9 levels, Australasian Journal of Combinatorics, 33, 2005, 109-123.