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http://dx.doi.org/10.13089/JKIISC.2002.12.1.81

An improved method of scalar multiplication on Elliptic Curve Cryptosystems over Small Fields of Odd Characteristic  

김용호 (고려대학교 정보보호기술연구센터)
박영호 (고려대학교 정보보호기술연구센터)
이상진 (고려대학교 정보보호기술연구센터)
황정연 (고려대학교 정보보호기술연구센터)
김창한 (세명대학교 컴퓨터수리정보학과)
임종인 (고려대학교 정보보호기술연구센터)
Abstract
For efficient implementation of scalar multiplication in Elliptic Curve Cryptosystems over Small Fields of Odd Characterist, robenius endomorphism is useful. We discuss new algorithm for multiplying points on Elliptic Curve Cryptosystems over Small ields. Our algorithm can reduce more the length of the Frobenius expansion than that of Smart.
Keywords
Elliptic Curve; scalar multiplication; Frobenius expansion;
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