Cofactor of Elliptic Curve Calculator

Posted by Dinesh on

The Elliptic Curve Cryptography (ECC) is considered a natural modern successor of the RSA cryptosystem, because ECC uses smaller keys and signatures than RSA for the same level of security and provides very fast key generation, fast key agreement and fast signatures. ECC implements all major capabilities of the asymmetric cryptosystems: encryption, signatures and key exchange. This calculator calculates the cofactor using order of the curve, order of the subgroups values.

Calculate Elliptic Curve Cryptography Cofactor

Formula:

h = n / r

Where,

n is the order of the curve (the number of all its points)
r is the order of the subgroups (the number of points in each subgroup, including the infinity point for each subgroup)
h is the curve cofactor (the number of non-overlapping subgroups of points, which together hold all curve points)