Constructions of Nonbinary WOM Codes for Multilevel Flash Memories


The goal of this paper is to present constructions of high-rate nonbinary write-once memory (WOM) codes for multilevel flash memories. The constructions provided here are all based on the essential idea of mapping high-rate binary codebooks to nonbinary codebooks. The proposed codes maintain the identical length and encoding complexity as their underlying binary constituents. We begin by presenting some elementary, nonetheless rate-economical constructions. Afterward, we take into account a high-rate 2-write WOM-code defined over an alphabet of size four. In addition, we have a tendency to think about the applying of our constructions to the creation of fixed-rate WOM codes. The constructions presented during this paper improve upon the best-known code constructions for bound code lengths.

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