A Lower Bound on the Essential Interactive Capacity of Binary Memoryless Symmetric Channels

Assaf Ben-Yishai*, Young Han Kim, Or Ordentlich, Ofer Shayevitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The essential interactive capacity of a discrete memoryless channel is defined in this paper as the maximal rate at which the transcript of any interactive protocol can be reliably simulated over the channel, using a deterministic coding scheme. In contrast to other interactive capacity definitions in the literature, this definition makes no assumptions on the order of speakers (which can be adaptive) and does not allow any use of private/public randomness; hence, the essential interactive capacity is a function of the channel model only. It is shown that the essential interactive capacity of any binary memoryless symmetric (BMS) channel is at least 0.0302 its Shannon capacity. To that end, we present a simple coding scheme, based on extended-Hamming codes combined with error detection, that achieves the lower bound in the special case of the binary symmetric channel (BSC). We then adapt the scheme to the entire family of BMS channels, and show that it achieves the same lower bound using extremes of the Bhattacharyya parameter.

Original languageAmerican English
Pages (from-to)7639-7658
Number of pages20
JournalIEEE Transactions on Information Theory
Issue number12
StatePublished - 1 Dec 2021

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.


  • Interactive communication
  • channel capacity
  • two-way channel


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