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APPROX
2015
Springer

Communication with Partial Noiseless Feedback

7 years 11 months ago
Communication with Partial Noiseless Feedback
We introduce the notion of one-way communication schemes with partial noiseless feedback. In this setting, Alice wishes to communicate a message to Bob by using a communication scheme that involves sending a sequence of bits over a channel while receiving feedback bits from Bob for δ fraction of the transmissions. An adversary is allowed to corrupt up to a constant fraction of Alice’s transmissions, while the feedback is always uncorrupted. Motivated by questions related to coding for interactive communication, we seek to determine the maximum error rate, as a function of 0 ≤ δ ≤ 1, such that Alice can send a message to Bob via some protocol with δ fraction of noiseless feedback. The case δ = 1 corresponds to full feedback, in which the result of [1] implies that the maximum tolerable error rate is 1/3, while the case δ = 0 corresponds to no feedback, in which the maximum tolerable error rate is 1/4, achievable by use of a binary error-correcting code. In this work, we show...
Bernhard Haeupler, Pritish Kamath, Ameya Velingker
Added 16 Apr 2016
Updated 16 Apr 2016
Type Journal
Year 2015
Where APPROX
Authors Bernhard Haeupler, Pritish Kamath, Ameya Velingker
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