EC Cryptography Tutorials - Herong's Tutorial Examples - v1.00, 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
Table of Contents