Codes for Multi-Level Flash Memories: Correcting Asymmetric Limited-Magnitude Errors

Cassuto, Yuval and Schwartz, Moshe and Bohassian, Vasken and Bruck, Jehoshua (2007) Codes for Multi-Level Flash Memories: Correcting Asymmetric Limited-Magnitude Errors. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechPARADISE:2007.ETR079]

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Abstract

—Several physical effects that limit the reliability and performance of Multilevel Flash memories induce errors that have low magnitude and are dominantly asymmetric. This paper studies block codes for asymmetric limited-magnitude errors over q-ary channels. We propose code constructions for such channels when the number of errors is bounded by t. The construction uses known codes for symmetric errors over small alphabets to protect large-alphabet symbols from asymmetric limited-magnitude errors. The encoding and decoding of these codes are performed over the small alphabet whose size depends only on the maximum error magnitude and is independent of the alphabet size of the outer code. An extension of the construction is proposed to include systematic codes as a benet to practical implementation.

EPrint Type:	Monograph (Technical Report)
Additional Information:	This work was supported in part by the Caltech Lee Center for Advanced Networking. Available online: http://www.paradise.caltech.edu/papers/etr079.pdf
Subjects:	All Records
ID Code:	107
Deposited By:	Caltech Library System
Deposited On:	27 July 2007
Record Number:	CaltechPARADISE:2007.ETR079
Official Persistent URL:	http://resolver.caltech.edu/CaltechPARADISE:2007.ETR079
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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