On existence and number of orthogonal arrays

Ray-Chaudhuri, D. K. ; Singhi, N. M. (1988) On existence and number of orthogonal arrays Journal of Combinatorial Theory - Series A, 47 (1). pp. 28-36. ISSN 0097-3165

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0097-3165(88)90041-6

Abstract

It is shown that a signed orthogonal array SAt(v, k, λ) exists for all (v, k, λ, t), k ≥ t and an orthogonal array At(v, k, λ) exists for all (v, k, λ, t) provided λ is sufficiently large. A reciprocity relation for the number of distinct orthogonal arrays is derived as in the case of designs in a recent paper of Singhi and Shrikhande.

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