{"title":"Codes over M2(F2) and applications to Golden space-time coded modulation","authors":"F. Oggier, P. Solé, J. Belfiore","doi":"10.1109/ISIT.2009.5205614","DOIUrl":null,"url":null,"abstract":"In this paper, we study code constructions over the finite ring M<inf>2</inf>(F<inf>2</inf>), the ring of 2×2 matrices with coefficients in the finite field F<inf>2</inf>. We show how they can be related to classical codes over F<inf>4</inf>. We provide as application the design of outer codes for 2 × 2 space-time coded modulation, when the inner code is the so-called Golden code.","PeriodicalId":412925,"journal":{"name":"2009 IEEE International Symposium on Information Theory","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2009.5205614","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, we study code constructions over the finite ring M2(F2), the ring of 2×2 matrices with coefficients in the finite field F2. We show how they can be related to classical codes over F4. We provide as application the design of outer codes for 2 × 2 space-time coded modulation, when the inner code is the so-called Golden code.
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