On a construction for constant-weight Gray codes for local rank modulation Conference Paper uri icon

abstract

  • 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. The local rank- modulation, as a generalization of the rank-modulation scheme, has been recently suggested as a way of storing information in flash memory. We study constant-weight Gray codes for the local rank-modulation scheme in order to simulate conventional multilevel flash cells while retaining the benefits of rank modulation. We describe a construction for a codes of rate tending to 1.

publication date

  • November 1, 2010