Codes for Correcting Localized Deletions

Serge Kas Hanna, Salim El Rouayheb

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We consider the problem of constructing binary codes for correcting deletions that are localized within certain parts of the codeword that are unknown a priori. The model that we study is when δ ≤ w deletions are localized in a window of size w bits. These δ deletions do not necessarily occur in consecutive positions, but are restricted to the window of size w. The localized deletions model is a generalization of the bursty model, in which all the deleted bits are consecutive. In this paper, we construct new explicit codes for the localized model, based on the family of Guess Check codes which was previously introduced by the authors. The codes that we construct can correct, with high probability, δ ≤ w deletions that are localized in a single window of size w, where w grows with the block length. Moreover, these codes are systematic; have low redundancy; and have efficient deterministic encoding and decoding algorithms. We also generalize these codes to deletions that are localized within multiple windows in the codeword.

Original languageEnglish (US)
Article number9321545
Pages (from-to)2206-2216
Number of pages11
JournalIEEE Transactions on Information Theory
Issue number4
StatePublished - Apr 2021

All Science Journal Classification (ASJC) codes

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


  • Deletion codes
  • burst deletions
  • file synchronization
  • localized deletions
  • synchronization errors


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