{"title":"一些六边形(d,k)约束的容量","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":"{\"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}","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}
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.