Combinatorial aspects of covering arrays
Keywords:
Covering array, Qualitative independence, transversal cover, Orthogonal array, Transversal design, Perfect hash family, Interaction testing, Group-divisible designs, Heuristic search, Greedy algorithmAbstract
Covering arrays generalize orthogonal arrays by requiring that t -tuples be covered, but not requiring that the appearance of t -tuples be balanced.Their uses in screening experiments has found application in software testing, hardware testing, and a variety of fields in which interactions among factors are to be identified. Here a combinatorial view of covering arrays is adopted, encompassing basic bounds, direct constructions, recursive constructions, algorithmic methods, and applications.
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