{"title":"塞沙德里常数和向量束的 AG 码","authors":"Tohru Nakashima","doi":"10.1016/j.jpaa.2024.107720","DOIUrl":null,"url":null,"abstract":"<div><p>We give estimates for the minimum distances of the algebraic geometric codes on certain fibered varieties. By means of the Seshadri constants, we also obtain similar results for the codes defined from vector bundles of higher rank.</p></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"228 11","pages":"Article 107720"},"PeriodicalIF":0.7000,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Seshadri constants and AG codes of vector bundles\",\"authors\":\"Tohru Nakashima\",\"doi\":\"10.1016/j.jpaa.2024.107720\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give estimates for the minimum distances of the algebraic geometric codes on certain fibered varieties. By means of the Seshadri constants, we also obtain similar results for the codes defined from vector bundles of higher rank.</p></div>\",\"PeriodicalId\":54770,\"journal\":{\"name\":\"Journal of Pure and Applied Algebra\",\"volume\":\"228 11\",\"pages\":\"Article 107720\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Pure and Applied Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022404924001178\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001178","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We give estimates for the minimum distances of the algebraic geometric codes on certain fibered varieties. By means of the Seshadri constants, we also obtain similar results for the codes defined from vector bundles of higher rank.
期刊介绍:
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.