[Resource Topic] 2015/284: A Note on Scalar Multiplication Using Division Polynomials

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Title:
A Note on Scalar Multiplication Using Division Polynomials

Authors: Binglong Chen, Chuangqiang Hu, Chang-An Zhao

Abstract:

Scalar multiplication is the most important and expensive operation in elliptic curve cryptosystems. In this paper we improve the efficiency of the Elliptic Net algorithm to compute scalar multiplication by using the equivalence of elliptic nets. The proposed method saves four multiplications in each iteration loop. Experimental results also indicates that our algorithm will be more efficient than the previously known results in this line.

ePrint: https://eprint.iacr.org/2015/284

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