Explicit Capacity Approaching Coding for Interactive Communication

Ran Gelles, Bernhard Haeupler, Gillat Kol, Noga Ron-Zewi, Avi Wigderson

Research output: Contribution to journalArticlepeer-review


We show an explicit (that is, efficient and deterministic) capacity approaching interactive coding scheme that simulates any interactive protocol under random errors with nearly optimal communication rate. Specifically, over the binary symmetric channel with crossover probability ∈, our coding scheme achieves a communication rate of 1 - O(√H(∈)), together with negligible exp (-Ω (∈4 n/n)) failure probability (over the randomness of the channel). A rate of 1 - Θ (√H(∈)) is likely asymptotically optimal as a result of Kol and Raz (2013) suggests. Prior to this paper, such a communication rate was achievable only using randomized coding schemes [Kol and Raz (2013); Hauepler (2014)].

Original languageEnglish
Article number8345651
Pages (from-to)6546-6560
Number of pages15
JournalIEEE Transactions on Information Theory
Issue number10
StatePublished - Oct 2018

Bibliographical note

Publisher Copyright:
© 2018 IEEE.


  • Interactive communication
  • coding protocols
  • deterministic interactive coding
  • tree codes

ASJC Scopus subject areas

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


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