[Resource Topic] 2003/143: Elliptic curves suitable for pairing based cryptography

Welcome to the resource topic for 2003/143

Title:
Elliptic curves suitable for pairing based cryptography

Authors: Friederike Brezing, Annegret Weng

Abstract:

We give a method for constructing ordinary elliptic curves over finite
prime field \mathbb{F}_p with small security parameter k with respect to
a prime \ell dividing the group order \#E(\mathbb{F}_p) such that p<<\ell^2.

ePrint: https://eprint.iacr.org/2003/143

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