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

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

2008-04-10

arxiv.org/abs/0804.1652v1

Mathematics

Number Theory

Scientific paper

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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