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arXiv · 2301.01848

Correcting one error in channels with feedback

Ilya Vorobyev·Alexey Lebedev·Vladimir Lebedev·Christian Deppe
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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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Ilya Vorobyev, Alexey Lebedev, Vladimir Lebedev, Christian Deppe. 2023-01-04. Correcting one error in channels with feedback. https://arxiv.org/abs/2301.01848

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