Adversarial Torn-Paper Codes

Daniella Bar-Lev, Sagi Marcovich, Eitan Yaakobi, Yonatan Yehezkeally

Research output: Contribution to journalArticlepeer-review

Abstract

We study the adversarial torn-paper channel. This problem is motivated by applications in DNA data storage where the DNA strands that carry information may break into smaller pieces which are received out of order. Our model extends the previously researched probabilistic setting to the worst-case. We develop code constructions for any parameters of the channel for which non-vanishing asymptotic rate is possible and show our constructions achieve asymptotically optimal rate while allowing for efficient encoding and decoding. Finally, we extend our results to related settings included multi-strand storage, presence of substitution errors, or incomplete coverage.

Original languageEnglish
Pages (from-to)6414-6427
Number of pages14
JournalIEEE Transactions on Information Theory
Volume69
Issue number10
DOIs
StatePublished - 1 Oct 2023

Keywords

  • DNA sequences
  • Sequence reconstruction
  • error correction codes
  • worst-case analysis

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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