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Geometric WOM codes and coding strategies for multilevel flash memories

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Abstract

This paper investigates the design and application of write-once memory (WOM) codes for flash memory storage. Using ideas from Merkx (1984) we present a construction of WOM codes based on finite Euclidean geometries over \({\mathbb{F}_2}\). This construction yields WOM codes with new parameters and provides insight into the criterion that incidence structures should satisfy to give rise to good codes. We also analyze methods of adapting binary WOM codes for use on multilevel flash cells. In particular, we give two strategies based on different rewrite objectives. A brief discussion of the average-write performance of these strategies, as well as concatenation methods for WOM codes is also provided.

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  1. Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588, USA

    Kathryn Haymaker & Christine A. Kelley

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  1. Kathryn Haymaker
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  2. Christine A. Kelley
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Correspondence to Christine A. Kelley.

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This is one of several papers published in Designs, Codes and Cryptography comprising the “Special Issue on Coding Theory and Applications”.

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Haymaker, K., Kelley, C.A. Geometric WOM codes and coding strategies for multilevel flash memories. Des. Codes Cryptogr. 70, 91–104 (2014). https://doi.org/10.1007/s10623-012-9681-7

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  • DOI: https://doi.org/10.1007/s10623-012-9681-7

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