{"title":"Arithmetic Operations on Elliptic Curves Defined over Un-conventional Element Finite Fields","authors":"M. N. Daikpor, O. Adegbenro","doi":"10.1109/CyberC.2012.29","DOIUrl":null,"url":null,"abstract":"This paper presents arithmetic operations on elliptic curves defined over an un-conventional number system character digit element finite field. A high speed elliptic curve scalar multiplication algorithm in this special field domain is also presented. The heuristically-obtained results show the efficient nature of the proposed elliptic curve arithmetic operations.","PeriodicalId":416468,"journal":{"name":"2012 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery","volume":"98 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CyberC.2012.29","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 arithmetic operations on elliptic curves defined over an un-conventional number system character digit element finite field. A high speed elliptic curve scalar multiplication algorithm in this special field domain is also presented. The heuristically-obtained results show the efficient nature of the proposed elliptic curve arithmetic operations.
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