Yaakobi, Eitan and Shpilka, Amir (2012) High Sum-Rate Three-Write and Non-Binary WOM Codes. In: 2012 IEEE International Symposium on Information Theory Proceedings (ISIT). IEEE , Piscataway, NJ, pp. 1386-1390. ISBN 978-1-4673-2580-6. https://resolver.caltech.edu/CaltechAUTHORS:20120829-095141223
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Abstract
Write-once memory (WOM) is a storage medium with memory elements, called cells, which can take on q levels. Each cell is initially in level 0 and can only increase its level. A t-write WOM code is a coding scheme which allows one to store t messages to the WOM such that on consecutive writes every cell's level does not decrease. The sum-rate of the WOM code, which is the ratio between the total amount of information written in the t writes and the number of memory cells, is bounded by log_(2)(t + 1). Our main contribution in this work is a construction of binary three-write WOM codes with sum-rate approaching 1.885 for sufficiently large number of cells, while the upper bound is 2. This improves upon a recent construction of sum-rate 1.809. We also give constructions of non-binary WOM codes which give better sum-rate than the currently best known ones.
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| Additional Information: | © 2012 IEEE. Date of Current Version: 27 August 2012; Issue Date: 1-6 July 2012. Research of A.S. was supported in part by the Israel Science Foundation (grant number 339/10). Research of E.Y, was supported by the ISEF Foundation, and the Lester Deutsch Fellowship.Part of this work was done while A.S. was visiting the Centre Interfacultaire Bernoulli at EPFL. | ||||||||
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| DOI: | 10.1109/ISIT.2012.6283488 | ||||||||
| Record Number: | CaltechAUTHORS:20120829-095141223 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120829-095141223 | ||||||||
| Official Citation: | Yaakobi, Eitan; Shpilka, Amir; , "High sum-rate three-write and non-binary WOM codes," Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on , vol., no., pp.1386-1390, 1-6 July 2012 doi: 10.1109/ISIT.2012.6283488 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 33643 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Jason Perez | ||||||||
| Deposited On: | 29 Aug 2012 17:08 | ||||||||
| Last Modified: | 09 Nov 2021 21:36 |
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