Assaf Ben-Yishai, Young-Han Kim, Or Ordentlich, O. Shayevitz
{"title":"The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity","authors":"Assaf Ben-Yishai, Young-Han Kim, Or Ordentlich, O. Shayevitz","doi":"10.1109/ISIT.2019.8849655","DOIUrl":null,"url":null,"abstract":"We define the interactive capacity of the binary symmetric channel (BSC) as the maximal rate for which any interactive protocol can be fully and reliably simulated over a pair of BSC’s. We show that this quantity is at least 1/40 of the BSC Shannon capacity, uniformly for all channel crossover probabilities. Our result is based on a public-coin rewind-if-error coding scheme in the spirit of Kol & Raz 2013 [1].","PeriodicalId":6708,"journal":{"name":"2019 IEEE International Symposium on Information Theory (ISIT)","volume":"156 1","pages":"2868-2872"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 IEEE International Symposium on Information Theory (ISIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2019.8849655","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We define the interactive capacity of the binary symmetric channel (BSC) as the maximal rate for which any interactive protocol can be fully and reliably simulated over a pair of BSC’s. We show that this quantity is at least 1/40 of the BSC Shannon capacity, uniformly for all channel crossover probabilities. Our result is based on a public-coin rewind-if-error coding scheme in the spirit of Kol & Raz 2013 [1].