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Optimal Codes for the q-ary Deletion Channel

Sima, Jin and Gabrys, Ryan and Bruck, Jehoshua (2020) Optimal Codes for the q-ary Deletion Channel. In: 2020 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 740-745. ISBN 9781728164328. https://resolver.caltech.edu/CaltechAUTHORS:20200831-150933262

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Abstract

The problem of constructing optimal multiple deletion correcting codes has long been open until recent break-through for binary cases. Yet comparatively less progress was made in the non-binary counterpart, with the only rate one non-binary deletion codes being Tenengolts’ construction that corrects single deletion. In this paper, we present several q-ary t-deletion correcting codes of length n that achieve optimal redundancy up to a factor of a constant, based on the value of the alphabet size q. For small q, our constructions have O(n^(2t) q^t) encoding/decoding complexity. For large q, we take a different approach and the construction has polynomial time complexity.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/isit44484.2020.9174241DOIArticle
ORCID:
AuthorORCID
Sima, Jin0000-0003-4588-9790
Bruck, Jehoshua0000-0001-8474-0812
Additional Information:© 2020 IEEE. This work was supported in part by NSF grants CCF-1816965 and CCF-1717884.
Funders:
Funding AgencyGrant Number
NSFCCF-1816965
NSFCCF-1717884
Record Number:CaltechAUTHORS:20200831-150933262
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200831-150933262
Official Citation:J. Sima, R. Gabrys and J. Bruck, "Optimal Codes for the q-ary Deletion Channel," 2020 IEEE International Symposium on Information Theory (ISIT), Los Angeles, CA, USA, 2020, pp. 740-745, doi: 10.1109/ISIT44484.2020.9174241
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105183
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Sep 2020 19:18
Last Modified:08 Sep 2020 19:18

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