Efficiently list-decodable insertion and deletion codes via concatenation

In this paper, we consider the list decoding property of codes under insertion and deletion errors (insdel for short). Firstly, we analyse the list decodability of random insdel codes. Our result provides a more complete picture on the list decodability of insdel codes when both insertion and deleti...

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Main Authors: Liu, Shu, Tjuawinata, Ivan, Xing, Chaoping
Other Authors: Nanyang Technopreneurship Center
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/157154
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Institution: Nanyang Technological University
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spelling sg-ntu-dr.10356-1571542022-05-14T20:11:48Z Efficiently list-decodable insertion and deletion codes via concatenation Liu, Shu Tjuawinata, Ivan Xing, Chaoping Nanyang Technopreneurship Center Strategic Centre for Research in Privacy-Preserving Technologies & Systems (SCRIPTS) Engineering::Computer science and engineering Codes Error Correction In this paper, we consider the list decoding property of codes under insertion and deletion errors (insdel for short). Firstly, we analyse the list decodability of random insdel codes. Our result provides a more complete picture on the list decodability of insdel codes when both insertion and deletion errors happen. Secondly, we construct a family of insdel codes along with their efficient encoding and decoding algorithms through concatenation method which provides a Zyablov-type bound for insdel metric codes. Info-communications Media Development Authority (IMDA) National Research Foundation (NRF) Submitted/Accepted version The work of Shu Liu was supported in part by the National Natural Science Foundation of China under Grant 11901077, Grant 2019YFB1803102, and Grant 2020YFB1806805; in part by the National Key Research and Development Program of China under Contract IFN2020203; and in part by the Fundamental Research Funds for the Central Universities of China under Grant ZYGX2018KYQD216. The work of Ivan Tjuawinata was supported by the National Research Foundation, Singapore, under its Strategic Capability Research Centres Funding Initiative. The work of Chaoping Xing was supported in part by the National Natural Science Foundation of China under Grant 12031011 and in part by the National Key Research and Development Project under Grant 2020YFA0712300. 2022-05-09T05:56:49Z 2022-05-09T05:56:49Z 2021 Journal Article Liu, S., Tjuawinata, I. & Xing, C. (2021). Efficiently list-decodable insertion and deletion codes via concatenation. IEEE Transactions On Information Theory, 67(9), 5778-5790. https://dx.doi.org/10.1109/TIT.2021.3096154 0018-9448 https://hdl.handle.net/10356/157154 10.1109/TIT.2021.3096154 2-s2.0-85113964964 9 67 5778 5790 en IEEE Transactions on Information Theory © 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/TIT.2021.3096154. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Computer science and engineering
Codes
Error Correction
spellingShingle Engineering::Computer science and engineering
Codes
Error Correction
Liu, Shu
Tjuawinata, Ivan
Xing, Chaoping
Efficiently list-decodable insertion and deletion codes via concatenation
description In this paper, we consider the list decoding property of codes under insertion and deletion errors (insdel for short). Firstly, we analyse the list decodability of random insdel codes. Our result provides a more complete picture on the list decodability of insdel codes when both insertion and deletion errors happen. Secondly, we construct a family of insdel codes along with their efficient encoding and decoding algorithms through concatenation method which provides a Zyablov-type bound for insdel metric codes.
author2 Nanyang Technopreneurship Center
author_facet Nanyang Technopreneurship Center
Liu, Shu
Tjuawinata, Ivan
Xing, Chaoping
format Article
author Liu, Shu
Tjuawinata, Ivan
Xing, Chaoping
author_sort Liu, Shu
title Efficiently list-decodable insertion and deletion codes via concatenation
title_short Efficiently list-decodable insertion and deletion codes via concatenation
title_full Efficiently list-decodable insertion and deletion codes via concatenation
title_fullStr Efficiently list-decodable insertion and deletion codes via concatenation
title_full_unstemmed Efficiently list-decodable insertion and deletion codes via concatenation
title_sort efficiently list-decodable insertion and deletion codes via concatenation
publishDate 2022
url https://hdl.handle.net/10356/157154
_version_ 1734310107360002048