Efficient coding for interactive communicalion

Ran Gelles, Ankur Moitra, Amit Sahai

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

Abstract

We revisit the problem of reliable interactive communication over a noisy channel and obtain the first fully (randomized) efficient constant-rate emulation procedure for reliable interactive communication. Our protocol works for any discrete memoryless noisy channel with constant capacity and fails with exponentially small probability in the total length of the protocol. Following a work by Schulman (1993), our simulation uses a tree-code, yet as opposed to the nonefficient construction of absolute tree-code used by Schulman, we introduce a relaxation in the notion of goodness for a tree code and define a potent tree code. This relaxation allows us to construct an efficient emulation procedure for any two-party protocol. Our results also extend to the case of interactive multiparty communication. We show that a randomly generated tree code (with suitable constant alphabet size) is an efficiently decodable potent tree code with overwhelming probability. Furthermore, we are able to partially derandomize this result by means of epsilon-biased distributions using only O(N) random bits, where N is the depth of the tree.

Original languageEnglish
Article number6678799
Pages (from-to)1899-1913
Number of pages15
JournalIEEE Transactions on Information Theory
Volume60
Issue number3
DOIs
StatePublished - Mar 2014
Externally publishedYes

Keywords

  • Coding theorem
  • Interactive communication
  • Network coding
  • Reliable communication
  • Tree code

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