EC Cryptography Tutorials - Herong's Tutorial Examples - v1.00, by Dr. Herong Yang
Algebraic Solution for Symmetrical Points
This section provides an algebraic solution for calculating the addition operation of two symmetrical points on an elliptic curve.
Case 1: P and Q are symmetrical points - This case is very easy.
If P and Q are symmetrical points, we know that: yQ = - yP P + Q = P + (-P) = O (the infinity point or identity element) So: R = O = (∞, ∞) xR = ∞ yR = ∞
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