{"title":"编码理论的高维变体","authors":"I. Blake, V. Murty, Hamid Usefi","doi":"10.1109/CWIT.2015.7255139","DOIUrl":null,"url":null,"abstract":"We consider enumeration and construction of points on diagonal and Hermitian surfaces. We give a recursive construction technique for the set of rational points of Hermitian surfaces. Then we apply this recursive enumeration of rational points to construct codes on Hermitian surfaces.","PeriodicalId":426245,"journal":{"name":"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Higher dimensional varieties in coding theory\",\"authors\":\"I. Blake, V. Murty, Hamid Usefi\",\"doi\":\"10.1109/CWIT.2015.7255139\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider enumeration and construction of points on diagonal and Hermitian surfaces. We give a recursive construction technique for the set of rational points of Hermitian surfaces. Then we apply this recursive enumeration of rational points to construct codes on Hermitian surfaces.\",\"PeriodicalId\":426245,\"journal\":{\"name\":\"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CWIT.2015.7255139\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CWIT.2015.7255139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider enumeration and construction of points on diagonal and Hermitian surfaces. We give a recursive construction technique for the set of rational points of Hermitian surfaces. Then we apply this recursive enumeration of rational points to construct codes on Hermitian surfaces.