EC Cryptography Tutorials - Herong's Tutorial Examples - Version 1.00, by Dr. Herong Yang
Negation Operation on an Elliptic Curve
This section describes the Negation operation on an elliptic curve. If the resulting point the negation operation of an given point P is R, then P + R is the infinity point.
With the introduction of the infinity point, we can now define another operation on an elliptic curve, the negation operation, which is a unary operation.
If we use the minus sign "-" as the negation operator, then the resulting point R of the nagation operation of a point P on an elliptic curve can be expressed as the following:
R = -P, if P + R is the infinity point.
If we use letter O to represent the infinity point, the above expression can be shortened as the following:
R = -P, if P + R = O
Last update: 2019.
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