论文标题

可列出的插入插入码代码的率距离权衡取舍

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

论文作者

Haeupler, Bernhard, Shahrasbi, Amirbehshad

论文摘要

本文介绍了可列表插入删除代码最高可实现率的一般界限。特别是,我们提供了新颖的外部和内部界限,以最高可实现的通信速率,这些插入局限代码可以从任何$γ$插入的分数和任何$δ$删除分数中列出。我们的边界同时概括了以前研究的仅插入,仅删除和零速率的特殊情况,并纠正了一般情况下报告的其他界限。

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 $γ$ fraction of insertions and any $δ$ 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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