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Generalized Gray Codes for Local Rank Modulation

En Gad, Eyal and Langberg, Michael and Schwartz, Moshe and Bruck, Jehoshua (2011) Generalized Gray Codes for Local Rank Modulation. In: 2011 IEEE International Symposium on Information Theory Proceedings. IEEE , Piscataway, NJ, pp. 874-878. ISBN 978-1-4577-0596-0. https://resolver.caltech.edu/CaltechAUTHORS:20120405-102509210

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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. Local rank-modulation is a generalization of the rank-modulation 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 scope of previous works, we consider code constructions for the entire range of parameters including the code length, sliding window size, and overlap between adjacent windows. We show our constructed codes have asymptotically-optimal rate. We also provide efficient encoding, decoding, and next-state algorithms.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ISIT.2011.6034262DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6034262PublisherArticle
http://arxiv.org/abs/1103.0317arXivDiscussion Paper
ORCID:
AuthorORCID
Bruck, Jehoshua0000-0001-8474-0812
Additional Information:© 2011 IEEE. Date of Current Version: 03 October 2011. This work was supported in part by ISF grant 134/10, ISF grant 480/08, the Open University of Israel’s research fund (grant no. 46114), the NSF grant ECCS-0802107, and an NSF-NRI award.
Funders:
Funding AgencyGrant Number
Israeli Science Foundation134/10
Israeli Science Foundation480/08
Open University of Israel Research Fund46114
NSFECCS-0802107
Other Numbering System:
Other Numbering System NameOther Numbering System ID
INSPEC Accession Number12289200
Record Number:CaltechAUTHORS:20120405-102509210
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120405-102509210
Official Citation:En Gad, E.; Langberg, M.; Schwartz, M.; Bruck, J.; , "Generalized Gray codes for local rank modulation," Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on , vol., no., pp.874-878, July 31 2011-Aug. 5 2011 doi: 10.1109/ISIT.2011.6034262 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6034262&isnumber=6033677
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29994
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:05 Apr 2012 20:53
Last Modified:22 Nov 2019 09:58

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