{"title":"Correcting a Single Error in an Asymmetric Feedback Channel","authors":"I. V. Vorobyev, A. V. Lebedev, V. S. Lebedev","doi":"10.1134/s0032946024010034","DOIUrl":null,"url":null,"abstract":"<p>We prove a new lower bound on the size of a code with complete feedback correcting a single error in a binary asymmetric channel. We also present an upper bound on the size of the code, which is close to the new lower bound.</p>","PeriodicalId":54581,"journal":{"name":"Problems of Information Transmission","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Problems of Information Transmission","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s0032946024010034","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove a new lower bound on the size of a code with complete feedback correcting a single error in a binary asymmetric channel. We also present an upper bound on the size of the code, which is close to the new lower bound.
期刊介绍:
Problems of Information Transmission is of interest to researcher in all fields concerned with the research and development of communication systems. This quarterly journal features coverage of statistical information theory; coding theory and techniques; noisy channels; error detection and correction; signal detection, extraction, and analysis; analysis of communication networks; optimal processing and routing; the theory of random processes; and bionics.