Non-adaptive and two-stage coding over the Z-channel
Information Theory
2022-09-09 v2 Combinatorics
math.IT
Abstract
In this paper, we developed new coding strategies for the Z-channel. In particular, we look at the case with two-stage encoding. In this case, the encoder uses noiseless feedback once and adjusts the further encoding strategy based on the previous partial output of the channel. Nevertheless, the developed codes improve the known results with full feedback for small length and 1 error. A tool for the two-stage strategy is the development of a new optimality condition for non-adaptive codes.
Keywords
Cite
@article{arxiv.2202.00136,
title = {Non-adaptive and two-stage coding over the Z-channel},
author = {Alexey Lebedev and Ilya Vorobyev and Vladimir Lebedev and Christian Deppe},
journal= {arXiv preprint arXiv:2202.00136},
year = {2022}
}
Comments
Some references and known results, which were missed in the previous version, have been added