A construction for orthorgonal arrays with strength t>=3

  title={A construction for orthorgonal arrays with strength t>=3},
  author={John L. Blanchard},
  journal={Discrete Mathematics},
For any t and k with 2<~t<~k, there is a number eo=eo(t,k ) such that, for any positive number v and any prime power q there is an orthogonal array O(t,k;v.q e) for all e~>e 0. This is accomphished via a group-divisible design construction that converts arrays of large index to arrays of index unity; this is a generalization of a construction of Wilson in the case t=2 . 1. Orthogonal arrays and transversal designs F o r any posi t ive s let Is = {1,2 . . . . . s}. A set is called an s-set when… CONTINUE READING

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