Pith. sign in

REVIEW

Correcting one error in channels with feedback

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2301.01848 v1 pith:JYL2KRZG submitted 2023-01-04 cs.IT math.COmath.IT

Ilya Vorobyev , Alexey Lebedev , Vladimir Lebedev , Christian Deppe This is my paper
classification cs.ITmath.COmath.IT
keywords feedbackchannelbinarycasecorrectingerrorstrategiestransmission
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Sign in to comment.

Pith tools