{"title":"非常规单元有限域上椭圆曲线的算术运算","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":"{\"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}","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}
Arithmetic Operations on Elliptic Curves Defined over Un-conventional Element Finite Fields
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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