Curve Parameters
a = -3
b = 5
P: (-, -)
Q: (-, -)
R: (-, -)
Visualizing point addition on elliptic curves
ECC provides the same security as RSA with much smaller key sizes (256-bit ECC ≈ 3072-bit RSA). The curve equation y² = x³ + ax + b defines a set of points. Point addition (P + Q) is done by drawing a line through P and Q, finding where it intersects the curve, then reflecting across the x-axis. The discrete logarithm problem on elliptic curves (finding n from nP) is computationally hard, forming the basis of ECDSA and ECDH used in Bitcoin, TLS, and secure messaging.