Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves

Elisavet Konstantinou; Aristides Kontogeorgis

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arXiv · 0804.1652

Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves

Elisavet Konstantinou·Aristides Kontogeorgis

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Abstract

In this paper, we propose the use of Ramanujan class of polynomials for the construction of prime order elliptic curves using the CM-method. We compare (theoretically and experimentally) the efficiency of using this new class against the use of the Weber, $M_{D,l}(x)$ and $M_{D,p_1,p_2}(x)$ polynomials and show that they clearly outweigh all of them in the generation of prime order elliptic curves.

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Elisavet Konstantinou, Aristides Kontogeorgis. 2008-04-10. Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves. https://arxiv.org/abs/0804.1652

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