That's a really good question. I don't have evidence of that assumption (and all my research on ECDSA was in 2012, which I have long forgotten now) but I do think that not all points are created equal. More specifically, you could find a point on some curves where the total number of points is only 4 if you chose a specific point (like point 25 on a curve with 100 points), or half what it could be if you chose a different one, etc... I think that choosing an optimal generator point is part of the choice in the curve parameters (which I never investigated why they decide on specific parameters as being better than others).That being said, I also think that if you have two points giving you the same 'n' (total number of points), then it doesn't matter which one is the generator point. Just like on a circle, it doesn't matter which point you chose on a circle as your starting point when you calculate an angle. Some people like to use the right point on the X axis and some people like to use the top point on the Y axis as the start point. If I say "at 60 degrees on the circle" , you need to know from where I started to calculate the angle, but then it doesn't matter where it is as long as the angle + start point are always together.That's why with ECDSA, you don't say 'point k", you say "point kG".
Instructables 2012 Scaricare Key Generator 32 Bits Italiano
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