English

Linear List Decodable Edit-Correcting Codes with Rate Approaching $1$

Information Theory 2025-07-21 v2 math.IT

Abstract

Linear codes correcting one deletions have rate at most 1/21/2. In this paper, we construct linear list decodable codes correcting edits with rate approaching 11 and reasonable list size. Our encoder and decoder run in polynomial time.

Keywords

Cite

@article{arxiv.2506.12193,
  title  = {Linear List Decodable Edit-Correcting Codes with Rate Approaching $1$},
  author = {Yuting Li and Ryan Gabrys and Farzad Farnoud},
  journal= {arXiv preprint arXiv:2506.12193},
  year   = {2025}
}

Comments

12 pages, 0 figure

R2 v1 2026-07-01T03:17:00.521Z