TY - GEN
T1 - Error-correcting codes for rank modulation
AU - Jiang, Anxiao
AU - Schwartz, Moshe
AU - Bruck, Jehoshua
PY - 2008/9/29
Y1 - 2008/9/29
N2 - We investigate error-correcting codes for a novel storage technology for flash memories, the rank-modulation scheme. In this scheme, a set of n cells stores information in the permutation induced by the different charge levels of the individual cells. The resulting scheme eliminates the need for discrete cell levels, overcomes overshoot errors when programming cells (a serious problem that reduces the writing speed), and mitigates the problem of asymmetric errors. In this paper, we study the properties of error correction in rank modulation codes. We show that the adjacency graph of permutations is a subgraph of a multi-dimensional array of a special size, a property that enables code designs based on Leemetric codes. We present a one-error-correcting code whose size is at least half of the optimal size. We also present additional error-correcting codes and some related bounds.
AB - We investigate error-correcting codes for a novel storage technology for flash memories, the rank-modulation scheme. In this scheme, a set of n cells stores information in the permutation induced by the different charge levels of the individual cells. The resulting scheme eliminates the need for discrete cell levels, overcomes overshoot errors when programming cells (a serious problem that reduces the writing speed), and mitigates the problem of asymmetric errors. In this paper, we study the properties of error correction in rank modulation codes. We show that the adjacency graph of permutations is a subgraph of a multi-dimensional array of a special size, a property that enables code designs based on Leemetric codes. We present a one-error-correcting code whose size is at least half of the optimal size. We also present additional error-correcting codes and some related bounds.
UR - http://www.scopus.com/inward/record.url?scp=52349094743&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2008.4595285
DO - 10.1109/ISIT.2008.4595285
M3 - Conference contribution
AN - SCOPUS:52349094743
SN - 9781424422579
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1736
EP - 1740
BT - Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
T2 - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Y2 - 6 July 2008 through 11 July 2008
ER -