Rate-Distance Tradeoffs for List-Decodable Insertion-Deletion Codes

09/28/2020

∙

by   Bernhard Haeupler, et al.

∙

0

∙

share

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 reported for the general case.