Sima, Jin and Raviv, Netanel and Bruck, Jehoshua (2018) On Coding over Sliced Information. Parallel and Distributed Systems Group Technical Reports, 143. California Institute of Technology , Pasadena, CA. (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20181002-162910265
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Abstract
The interest in channel models in which the data is sent as an unordered set of binary strings has increased lately, due to emerging applications in DNA storage, among others. In this paper we analyze the minimal redundancy of binary codes for this channel under substitution errors, and provide several constructions, some of which are shown to be asymptotically optimal. The surprising result in this paper is that while the information vector is sliced into a set of unordered strings, the amount of redundant bits that are required to correct errors is asymptotically equal to the amount required in the classical error correcting paradigm.
| Item Type: | Report or Paper (Technical Report) | |||||||||
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| Group: | Parallel and Distributed Systems Group | |||||||||
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| Series Name: | Parallel and Distributed Systems Group Technical Reports | |||||||||
| Issue or Number: | 143 | |||||||||
| Record Number: | CaltechAUTHORS:20181002-162910265 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20181002-162910265 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 90087 | |||||||||
| Collection: | CaltechPARADISE | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 05 Oct 2018 21:33 | |||||||||
| Last Modified: | 09 Apr 2020 18:10 |
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