{"title":"New Families and New Members of Integer Sequence Based Coding Methods","authors":"Daniel Lowell, D. Tamir","doi":"10.1109/DCC.2009.87","DOIUrl":null,"url":null,"abstract":"This paper presents Integer sequences that have the property of being additively and/or multiplicatively complete, Zekendorf, and unique Zekendorf. In addition, a generalized Elias coding scheme is developed. Features of Zekendorf sequence based and generalized Elias coding compression methods including compression rate, universality, asymptotic optimality, and coding complexity are analyzed.","PeriodicalId":377880,"journal":{"name":"2009 Data Compression Conference","volume":"119 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Data Compression Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DCC.2009.87","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents Integer sequences that have the property of being additively and/or multiplicatively complete, Zekendorf, and unique Zekendorf. In addition, a generalized Elias coding scheme is developed. Features of Zekendorf sequence based and generalized Elias coding compression methods including compression rate, universality, asymptotic optimality, and coding complexity are analyzed.
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