International Association
for Cryptologic Research

Elliptic Curve Cryptography can be vulnerable to Side-Channel Attacks, such as the Zero Power Analysis (ZPA).

This attack takes advantage of the occurrence of special points that bring a zero-value when computing a doubling or an addition of points.

This paper consists in analysing this attack.

Some properties of the said special points are explicited.

A novel dynamic countermeasure is described.

The elliptic curve formul\\ae{} are updated depending on the elliptic curve and the provided base point.