Elsevier

Discrete Mathematics

Volume 308, Issue 20, 28 October 2008, Pages 4635-4642
Discrete Mathematics

On the existence of nested orthogonal arrays

https://doi.org/10.1016/j.disc.2007.08.096Get rights and content
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Abstract

A nested orthogonal array is an OA(N,k,s,g) which contains an OA(M,k,r,g) as a subarray. Here r<s and M<N. Necessary conditions for the existence of such arrays are obtained in the form of upper bounds on k, given N, M, s, r and g. Examples are given to show that these bounds are quite powerful in proving nonexistence. The link with incomplete orthogonal arrays is also indicated.

MSC

05B15

Keywords

Bose–Bush approach
Generalized Rao bound
Incomplete orthogonal array

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