Maximal Noise in Interactive Communication over Erasure Channels and Channels with Feedback

Klim Efremenko, Ran Gelles, Bernhard Haeupler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We provide tight upper and lower bounds on the noise resilience of interactive communication over noisy channels with feedback. In this setting, we show that the maximal fraction of noise that any robust protocol can resist is 1/3. Additionally, we provide a simple and efficient robust protocol that succeeds as long as the fraction of noise is at most 1/3--ε. Surprisingly, both bounds hold regardless of whether the parties send bits or symbols from an arbitrarily large alphabet.We also consider interactive communication over erasure channels. We provide a protocol that matches the optimal tolerable erasure rate of 1/2--ε of previous protocols (Franklin et al., CRYPTO '13) but operates in a much simpler and more efficient way. Our protocol works with an alphabet of size 4, in contrast to prior protocols in which the alphabet size grows as ε ╰ 0. Building on the above algorithm with a fixed alphabet size, we are able to devise a protocol for binary erasure channels that tolerates erasure rates of up to 1/3--ε.
Original languageEnglish
Title of host publicationProceedings of the 2015 Conference on Innovations in Theoretical Computer Science
Place of PublicationNew York
Pages11–20
Number of pages10
ISBN (Electronic)9781450333337
DOIs
StatePublished - 2015
Event6th Conference on Innovations in Theoretical Computer Science, ITCS 2015 - Rehovot, Israel
Duration: 11 Jan 201513 Jan 2015

Conference

Conference6th Conference on Innovations in Theoretical Computer Science, ITCS 2015
Country/TerritoryIsrael
CityRehovot
Period11/01/1513/01/15

Keywords

  • adversarial noise
  • channels with feedback
  • coding
  • erasure channels
  • interactive communication

Fingerprint

Dive into the research topics of 'Maximal Noise in Interactive Communication over Erasure Channels and Channels with Feedback'. Together they form a unique fingerprint.

Cite this