Permutation Arrays Under the Chebyshev Distance

Torleiv Kløve; Te-Tsung Lin; Shi-Chun Tsai; Wen-Guey Tzeng

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arXiv · 0907.2682

Permutation Arrays Under the Chebyshev Distance

Torleiv Kløve·Te-Tsung Lin·Shi-Chun Tsai·Wen-Guey Tzeng

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Abstract

An (n,d) permutation array (PA) is a set of permutations of length n with the property that the distance (under some metric) between any two permutations in the array is at least d. They became popular recently for communication over power lines. Motivated by an application to flash memories, in this paper the metric used is the Chebyshev metric. A number of different constructions are given as well as bounds on the size of such PA.

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Torleiv Kløve, Te-Tsung Lin, Shi-Chun Tsai, Wen-Guey Tzeng. 2009-07-15. Permutation Arrays Under the Chebyshev Distance. https://arxiv.org/abs/0907.2682

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