EC Cryptography Tutorials - Herong's Tutorial Examples - Version 1.00, 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 = ∞
Last update: 2019.
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