Rank Modulation for Flash Memories Academic Article uri icon


  • We explore a novel data representation scheme for multilevel flash memory cells, in which a set of n cells stores information in the permutation induced by the different charge levels of the individual cells. The only allowed charge-placement mechanism is a "push-to-the-top"operation, which takes a single cell of the set and makes it the top-charged cell. The resulting scheme eliminates the need for discrete cell levels, as well as overshoot errors, when programming cells. We present unrestricted Gray codes spanning all possible n-cell states and using only "push-to-the-top" operations, and also construct balanced Gray codes. One important application of the Gray codes is the realization of logic multilevel cells, which is useful in conventional storage solutions. We also investigate rewriting schemes for random data modification.We present both an optimal scheme for the worst case rewrite performance and an approximation scheme for the average-case rewrite performance. 2009 IEEE.

published proceedings


altmetric score

  • 3

author list (cited authors)

  • Jiang, A. A., Mateescu, R., Schwartz, M., & Bruck, J.

citation count

  • 199

complete list of authors

  • Jiang, Anxiao Andrew||Mateescu, Robert||Schwartz, Moshe||Bruck, Jehoshua

publication date

  • January 2009