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Old 2006-12-15, 13:38   #3
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Quote:
Originally Posted by akruppa View Post
This is pushing my understanding of elliptic curves... but would a point not on E(p) be on the twist curve? Then it would be clear why you're getting group structure again.

Alex
Are you sure about this?

In the example with:
p=19;
a=14;b=10;

There is a point of order 13.

The twisted curve has order 23 and the original curve has order 17.
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