On the capacity of bounded rank modulation for flash memories

  • Authors:
  • Zhiying Wang;Anxiao Jiang;Jehoshua Bruck

  • Affiliations:
  • Electrical Engineering Department, California Institute of Technology, Pasadena, CA;Computer Science Department, Texas A&M University, College Station, TX;Electrical Engineering Department, California Institute of Technology, Pasadena, CA

  • Venue:
  • ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
  • Year:
  • 2009

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Abstract

Rank modulation has been recently introduced as a new information representation scheme for flash memories. Given the charge levels of a group of flash cells, sorting is used to induce a permutation, which in turn represents data. Motivated by the lower sorting complexity of smaller cell groups, we consider bounded rank modulation, where a sequence of permutations of given sizes are used to represent data. We study the capacity of bounded rank modulation under the condition that permutations can overlap for higher capacity.