Abstract
Local rank modulation (LRM) scheme was suggested for representing the information in flash memories in order to overcome the drawbacks of rank modulation. For $0 with $s$ dividing $n$ , an $(s,t,n)$ -LRM scheme is a LRM scheme where the $n$ cells are locally viewed cyclically through a sliding window of size $t$ resulting in a sequence of small permutations, which requires less comparisons and less distinct values. The gap between two such windows equals to $s$ . In this paper, encoding, decoding, and asymptotic enumeration of the $(1,t,n)$ -LRM scheme are studied.
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