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Scalar multiplication on an elliptic curve is the repeated application of point addition. Starting from a point G and adding it to itself k times produces another point P, written as $P = [k]G$.

Conditions: G is a point on the elliptic curve.; k is an integer scalar counting the number of repeated point additions.

Scalar multiplication on an elliptic curve is the repeated application of point addition. Starting from a point G and adding it to itself k times produces another point P, written as $P = [k]G$.

Conditions: G is a point on the elliptic curve.; k is an integer scalar counting the number of repeated point additions.