{"title":"The capacity of some hexagonal (d,k)-constraints","authors":"Z. Kukorelly, K. Zeger","doi":"10.1109/ISIT.2001.935927","DOIUrl":null,"url":null,"abstract":"We consider two-dimensional binary codes whose bits lie on a hexagonal lattice and satisfy a (d,k) constraint in six directions. We prove that the capacity is zero if k=d+2 and give positive lower bounds on the capacity for k/spl ges/4[d/2]+1.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"847 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2001.935927","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
We consider two-dimensional binary codes whose bits lie on a hexagonal lattice and satisfy a (d,k) constraint in six directions. We prove that the capacity is zero if k=d+2 and give positive lower bounds on the capacity for k/spl ges/4[d/2]+1.