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ECC public keys are not random numbers. They are generated through a scalar multiplication of a random scalar with a known/public point on the curve, called Generator. The entropy lies entirely in the random scalar. Two public keys will collide if the random scalars collide. When you say "256bit ECDSA public key" you probably mean that your elliptic ...


Well to start of, great question it really got me thinking. unfortunately I cannot give you an exact answer but i can tell you the chances of getting the same public key as someone else is negligible. If the chance would have been anything but negligible the whole system would collapse since and attacker would have just as much chance of getting your key ...

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