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- W2990188275 abstract "An (n, k) sequence covering array is a set of permutations of [n] such that each sequence of k distinct elements of [n] is a subsequence of at least one of the permutations. An (n, k) sequence covering array is perfect if there is a positive integer $$lambda $$ such that each sequence of k distinct elements of [n] is a subsequence of precisely $$lambda $$ of the permutations. While relatively close upper and lower bounds for the minimum size of a sequence covering array are known, this is not the case for perfect sequence covering arrays. Here we present new nontrivial bounds for the latter. In particular, for $$k=3$$ we obtain a linear lower bound and an almost linear upper bound." @default.
- W2990188275 created "2019-12-05" @default.
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- W2990188275 date "2019-11-22" @default.
- W2990188275 modified "2023-10-17" @default.
- W2990188275 title "Perfect sequence covering arrays" @default.
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- W2990188275 doi "https://doi.org/10.1007/s10623-019-00698-7" @default.
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