-1
$\begingroup$

Does the order of the curve and the order of generator should be coprime for an elliptic curve defined over a prime field?

$\endgroup$

1 Answer 1

1
$\begingroup$

The order of any point is a divisor of the curve group order, hence they are never coprime, unless your "generator" is the point at infinity.

This follows from
Lagrange's theorem: If $H$ is a subgroup of a finite group $G$, then $\lvert H\rvert$ divides $\lvert G\rvert$.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.