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July 09, 2022, 09:56:07 AM |
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It's when you multiply a point by a number, aka. repeated addition of the point with itself.
The point is a two-dimensional number with an x & y coordinate just like on graphs. But these points are inside a point group, which means a fixed set of points that may not be numerically next to each other or even in numerically ascending order. The curve characteristic is a very large prime number which represents the number of points are in the group, and any multiplication by numbers which are larger than the characteristic (it is similar to maximum int value, by comparison), "wraps around" just like conventional numbers, and the wrapping around is accomplished by the modulus operation. Therefore, multiplying by p+1 is equivalent to multiplication by 1.
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