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Non-adaptive and two-stage coding over the Z-channel

2022/01/31 by A. V. Lebedev, Lebedev, Alexey, Ilya Vorobyev +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #Combinatorics (math.CO) #DNA and Biological Computing #Error Correcting Code Techniques #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.2202.00136

openalex publication_date 2022/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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