Cryptology ePrint Archive: Report 2006/124

Fast Elliptic Scalar Multiplication using New Double-base Chain and Point Halving

K.W. Wong and Edward C.W. Lee and L.M. Cheng and Xiaofeng Liao

Abstract: The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication. Based on the double-base chain representation of scalar using powers of 2 and 3, we propose a new representation with powers of ½ and 3 instead. Thus the efficient point halving operation can be incorporated in the new double-base chain to achieve fast scalar multiplication. Experimental results show that our approach leads to a lower complexity which contributes to the efficient implementation of elliptic curve cryptosystems.

Category / Keywords: public-key cryptography / elliptic curve cryptosystem

Publication Info: Not submitted to a journal yet.

Date: received 28 Mar 2006

Contact author: itkwwong at cityu edu hk

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Note: Nil.

Version: 20060329:194952 (All versions of this report)

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