NDLI: Interactive Channel Capacity Revisited

Content Provider	IEEE Xplore Digital Library
Author	Haeupler, B.
Copyright Year	2014
Abstract	We provide the first capacity approaching coding schemes that robustly simulate any interactive protocol over an adversarial channel that corrupts any fraction of the transmitted symbols. Our coding schemes achieve a communication rate of 1 - O(∈√loglog1/∈) can be improved to 1 - O(√∈) for random, oblivious, and over any adversarial channel. This computationally bounded channels, or if parties have shared randomness unknown to the channel. Surprisingly, these rates exceed the 1 - Ω( H(ϵ)) = 1 - Ω(ϵ√log1/ϵ) interactive channel capacity bound which [Kol and Raz; STOC'13] recently proved for random errors. We conjecture 1- Θ(ϵ log log 1/ϵ) and 1- Θ(√ϵ) to be the optimal rates for their respective settings and therefore to capture the interactive channel capacity for random and adversarial errors. In addition to being very communication efficient, our randomized coding schemes have multiple other advantages. They are computationally efficient, extremely natural, and significantly simpler than prior (non-capacity approaching) schemes. In particular, our protocols do not employ any coding but allow the original protocol to be performed as-is, interspersed only by short exchanges of hash values. When hash values do not match, the parties backtrack. Our approach is, as we feel, by far the simplest and most natural explanation for why and how robust interactive communication in a noisy environment is possible.
Sponsorship	IEEE Comput. Soc. Tech. Comm. Math. Found. Comput.
Starting Page	226
Ending Page	235
File Size	348166
Page Count	10
File Format	PDF
ISBN	9781479965175
ISSN	02725428
DOI	10.1109/FOCS.2014.32
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-10-18
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Protocols Encoding Noise Robustness Channel capacity Error analysis Redundancy channel capacity conding for interactive communications
Content Type	Text
Resource Type	Article

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