EDSM:secure and efficient scalar multiplication algorithm on Edwards curves

Investigate the secure and efficient algorithm for scalar multiplication on Edwards curves.First,several new addition and doubling formulas were proposed.Analysis shows that our new formulas are more efficient than existed formulas.Then a new scalar multiplication algorithm was forwarded,called EDSM...

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Bibliographic Details
Main Authors: ZHANG Bao-hua1, YIN Xin-chun2, ZHANG Hai-ling2
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2008-01-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/74654876/
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Summary:Investigate the secure and efficient algorithm for scalar multiplication on Edwards curves.First,several new addition and doubling formulas were proposed.Analysis shows that our new formulas are more efficient than existed formulas.Then a new scalar multiplication algorithm was forwarded,called EDSM algorithm.Finally,our EDSM algo-rithm with the improved Montgomery method and other existed secure and efficient algorithms were compared.Experi-mental results show that our EDSM(scalar multiplication on Edwards curve) algorithm make great improvements in as-pects of efficiency and security.
ISSN:1000-436X