{"title":"有限环与迹函数的广义Frobenius扩展","authors":"M. Greferath, A. Nechaev","doi":"10.1109/CIG.2010.5592917","DOIUrl":null,"url":null,"abstract":"We present a notion of generalized Frobenius extension for finite rings, and study related trace functions. Then we show applications of such extensions for algebraic coding theory.","PeriodicalId":354925,"journal":{"name":"2010 IEEE Information Theory Workshop","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Generalized Frobenius extensions of finite rings and trace functions\",\"authors\":\"M. Greferath, A. Nechaev\",\"doi\":\"10.1109/CIG.2010.5592917\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a notion of generalized Frobenius extension for finite rings, and study related trace functions. Then we show applications of such extensions for algebraic coding theory.\",\"PeriodicalId\":354925,\"journal\":{\"name\":\"2010 IEEE Information Theory Workshop\",\"volume\":\"78 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE Information Theory Workshop\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CIG.2010.5592917\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE Information Theory Workshop","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIG.2010.5592917","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Frobenius extensions of finite rings and trace functions
We present a notion of generalized Frobenius extension for finite rings, and study related trace functions. Then we show applications of such extensions for algebraic coding theory.