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On the existence of nested orthogonal arrays |
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| Authors: | Rahul Mukerjee |
| Institution: | a Indian Institute of Management Calcutta, Joka, Diamond Harbour Road, Kolkata 700 104, India b Department of Statistics, University of Wisconsin-Madison, Madison, WI 53706, USA c School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0205, USA |
| 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. |
| Keywords: | 05B15 |
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