2023•arXiv (Cornell University)Open access

Correcting one error in channels with feedback

Ilya Vorobyev, A. V. Lebedev, В. В. Лебедев, Christian Deppe

Abstract

We address the problem of correcting a single error in an arbitrary discrete memoryless channel with error-free instantaneous feedback. For the case of a one-time feedback, we propose a method for constructing optimal transmission strategies. The obtained result allows us to prove that for a binary channel, two feedbacks are sufficient to transmit the same number of messages as in the case of complete feedback. We also apply the developed techniques to a binary asymmetric channel to construct transmission strategies for small lengths.

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Key concepts: Channel (broadcasting), Binary number, Transmission (telecommunications), Construct (python library), Computer science, Binary symmetric channel, Transmission channel, Algorithm