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Computer Science > Information Theory

arXiv:2301.01848 (cs)
[Submitted on 4 Jan 2023]

Title:Correcting one error in channels with feedback

Authors: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.
Subjects: Information Theory (cs.IT); Combinatorics (math.CO)
Cite as: arXiv:2301.01848 [cs.IT]
  (or arXiv:2301.01848v1 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2301.01848

Submission history

From: Ilya Vorobyev [view email]
[v1] Wed, 4 Jan 2023 23:16:33 UTC (14 KB)
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