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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Bibliographic Details
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
Language: English
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Summary: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.