{"title":"部分规则集的变体和码","authors":"Rita Vincenti","doi":"10.12988/imf.2023.912353","DOIUrl":null,"url":null,"abstract":"We construct linear codes from projective systems in a finite projective space, by considering the points of the lines of partial ruled sets. In two complementary subspaces we choose known varieties V and V (cid:48) , V ∼ = V (cid:48) via a projectivity, and study both the linear codes and the varieties arising by connecting corresponding points","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Varieties and codes from partial ruled sets\",\"authors\":\"Rita Vincenti\",\"doi\":\"10.12988/imf.2023.912353\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct linear codes from projective systems in a finite projective space, by considering the points of the lines of partial ruled sets. In two complementary subspaces we choose known varieties V and V (cid:48) , V ∼ = V (cid:48) via a projectivity, and study both the linear codes and the varieties arising by connecting corresponding points\",\"PeriodicalId\":107214,\"journal\":{\"name\":\"International Mathematical Forum\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Mathematical Forum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/imf.2023.912353\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematical Forum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2023.912353","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
在有限射影空间中,通过考虑部分规则集的直线点,从射影系统构造线性码。在两个互补的子空间中,我们通过投影选择已知的V和V (cid:48), V ~ = V (cid:48),并研究了线性码和由对应点连接产生的变体
We construct linear codes from projective systems in a finite projective space, by considering the points of the lines of partial ruled sets. In two complementary subspaces we choose known varieties V and V (cid:48) , V ∼ = V (cid:48) via a projectivity, and study both the linear codes and the varieties arising by connecting corresponding points