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New Covering Array Numbers

Discrete Mathematics 2020-01-23 v2 Combinatorics

Abstract

A covering array CA(N; t; k; v) is an N x k array on v symbols such that every N x t subarray contains as a row each t-tuple over the v symbols at least once. The minimum N for which a CA(N; t; k; v) exists is called the covering array number of t, k, and v, and it is denoted by CAN(t; k; v). In this work we prove new CANs using an optimized procedure.

Cite

@article{arxiv.1711.10040,
  title  = {New Covering Array Numbers},
  author = {Idelfonso Izquierdo-Marquez and Jose Torres-Jimenez},
  journal= {arXiv preprint arXiv:1711.10040},
  year   = {2020}
}

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