EC Cryptography Tutorials - Herong's Tutorial Examples - v1.00, by Dr. Herong Yang
Algebraic Solution for the Infinity Point
This section provides an algebraic solution for calculating the addition operation of two points on an elliptic curve with one of them is the infinity point.
Case 2: P or Q is the infinity point - This case is also very easy.
If: P = O = (∞, ∞) We know that: P + Q = O + Q = Q So: R = Q xR = xQ yR = yQ If: Q = O = (∞, ∞) We know that: P + Q = P + O = P So: R = P xR = xP yR = yP
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