the security of ECC depends on how difficult it is to
determine k given kP and P.

Name: the security of ECC depends on how difficult it is to determine k given kP and P.
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In Elliptic Curve Cryptography (ECC), the security fundamentally relies on the difficulty of the Elliptic Curve Discrete Logarithm Problem (ECDLP), which is to compute the scalar $k$ given the points $kP$ and $P$, where $P$ is a point on the elliptic curve and $k$ is a scalar.

The Security of ECC Depends on How Difficult It Is