{"title":"Generalized weights and bounds for error probability over erasure channels","authors":"Leandro Cruvinel Lemes, Marcelo Firer","doi":"10.1109/ITA.2014.6804237","DOIUrl":null,"url":null,"abstract":"New upper and lower bounds for the error probability over an erasure channel are provided, making use of Wei's generalized weights, hierarchy and spectra. In many situations the upper and lower bounds coincide and this allows us to improve the existing bounds. Results concerning MDS and AMDS codes are deduced from those bounds.","PeriodicalId":338302,"journal":{"name":"2014 Information Theory and Applications Workshop (ITA)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 Information Theory and Applications Workshop (ITA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITA.2014.6804237","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
New upper and lower bounds for the error probability over an erasure channel are provided, making use of Wei's generalized weights, hierarchy and spectra. In many situations the upper and lower bounds coincide and this allows us to improve the existing bounds. Results concerning MDS and AMDS codes are deduced from those bounds.
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