{"title":"Cyclically symmetric entropy inequalities","authors":"Jun Chen, Hao Ye, C. Tian, Tie Liu, Zhiqing Xiao","doi":"10.1109/ISIT.2016.7541709","DOIUrl":null,"url":null,"abstract":"A cyclically symmetric entropy inequality is of the form h<sub>O</sub>≥ch<sub>O'</sub>, where h<sub>O</sub> and h<sub>O'</sub> are two cyclic orbit entropy terms. A computational approach is formulated for bounding the extremal value of c̅, which is denoted by c̅<sub>O,O'</sub>. For two non-empty orbits O and O' of a cyclic group, it is said that O dominates O' if c̅<sub>O,O'</sub> = 1. Special attention is paid to characterizing such dominance relationship, and a graphical method is developed for that purpose.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"15 3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE International Symposium on Information Theory (ISIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2016.7541709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
A cyclically symmetric entropy inequality is of the form hO≥chO', where hO and hO' are two cyclic orbit entropy terms. A computational approach is formulated for bounding the extremal value of c̅, which is denoted by c̅O,O'. For two non-empty orbits O and O' of a cyclic group, it is said that O dominates O' if c̅O,O' = 1. Special attention is paid to characterizing such dominance relationship, and a graphical method is developed for that purpose.
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