Points P(x, y)on an Elliptic Curve form a group Group set All points P(x, y)lying 3 on an elliptic curve R Group operation Point addition Q R=P+Q R 219 -3 -2 -1 0 1 2 3 -4 -3 -2 -1 0 1 2 3 4 R = P + Q Group set: All points P(x,y) lying on an elliptic curve Group operation: Point addition R' P R Q Points P(x,y) on an Elliptic Curve form a Group