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2016-12-05 18:43:29 +0100 asked a question Pick a point at random on an elliptic curve with specific order

Hi!

I use the function random_point() to pick a point at random on an elliptic curve, but I was wondering if there is a way to pick a point at random that has a specific order (or some useful geometric property that allows me to do that).

So far, brute forcing seems the only way to me (pick a point at random, check its order and iterate until it has the wanted order) but it's obviously very naive!

Thank you for your help!

2016-12-05 18:43:29 +0100 asked a question Random point on elliptic curve with specific order

Hi!

I use the function random_point() to pick a point at random on an elliptic curve, but I was wondering if there is a way to pick a point at random that has a specific order (or some useful geometric property that allows me to do that).

So far, brute forcing seems the only way to me (pick a point at random, check its order and iterate until it has the wanted order) but it's obviously very naive!

Thank you for your help!