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Strength two covering arrays: Existence tables and projection

机译:加强两个覆盖范围:存在表和投影

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A covering array is an N×k array such that every N×t sub-array contains all t-tuples from v symbols at least once, where t is the strength of the array. Covering arrays are used in experiments to screen for interactions among t-subsets of k components. Strength two covering arrays have been studied from numerous viewpoints, resulting in a variety of computational, direct, and recursive constructions. Consequently, it can be difficult to determine the smallest covering array that results from known construction. To address this, existence tables for the best currently known covering arrays are presented. In the process, a new direct construction from orthogonal arrays is also introduced.
机译:覆盖数组是N×k数组,因此每个N×t子数组至少包含一次来自v个符号的所有t元组,其中t是数组的强度。在实验中使用覆盖阵列来筛选k个成分的t个子集之间的相互作用。已经从许多角度研究了强度两个覆盖阵列,从而产生了各种计算,直接和递归构造。因此,可能难以确定由已知构造产生的最小覆盖阵列。为了解决这个问题,提出了目前最好的覆盖阵列的存在表。在此过程中,还引入了一种由正交阵列构成的新直接构造。

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