Rate-Distance Trade-offs for List-Decodable Insertion-Deletion Codes

Bernhard Haeupler; Amirbehshad Shahrasbi

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arXiv · 2009.13307

Rate-Distance Trade-offs for List-Decodable Insertion-Deletion Codes

Bernhard Haeupler·Amirbehshad Shahrasbi

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Abstract

This paper presents general bounds on the highest achievable rate for list-decodable insertion-deletion codes. In particular, we give novel outer and inner bounds for the highest achievable communication rate of any insertion-deletion code that can be list-decoded from any $\gamma$ fraction of insertions and any $\delta$ fraction of deletions. Our bounds simultaneously generalize the known bounds for the previously studied special cases of insertion-only, deletion-only, and zero-rate and correct other bounds that had been reported for the general case.

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BibTeX RIS

Bernhard Haeupler, Amirbehshad Shahrasbi. 2020-09-28. Rate-Distance Trade-offs for List-Decodable Insertion-Deletion Codes. https://arxiv.org/abs/2009.13307

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