Concepedia

Elliptic curves suitable for pairing based cryptography.

IACR Cryptology ePrint Archive · 2003 · 20 citations · 0 references

Concepts

ComputingComputer ScienceMathematicsAlgorithmsComputational GeometryCryptographyElliptic Curve CryptographyElliptic CurvesOrdinary Elliptic CurvesPairing-based Cryptography

Abstract

We give a method for constructing ordinary elliptic curves over finite prime field Fp with small security parameter k with respect to a prime l dividing the group order #E(Fp) such that p &lt;&lt; l&amp;sup2;