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We consider the local rank-modulation scheme in which a sliding window going over a sequence of real-valued variables induces a sequence of permutations. Local rank-modulation is a generalization of the rankmodulation scheme, which has been recently suggested as a way of storing information in flash memory. We study Gray codes for the local rank-modulation scheme in order to simulate conventional multi-level flash cells while retaining the benefits of rank modulation. Unlike the limited scopedoi:10.1109/isit.2011.6034262 dblp:conf/isit/GadLSB11 fatcat:vlzyh6nzq5fehiz6lwwdrcrzou