Point Addition Clause Samples

Point Addition. Point addition is the addition of two points J and K on an elliptic curve to obtain another point L on the same elliptic curve.Consider two points J and K on an elliptic curve as shown in Figure 1. If K≠ -J then a line drawn through the points J and K will intersect the elliptic curve at exactly one more point –L. The reflection of the point –L with respect to x-axis gives the point L, which is the result of addition of points J and K. Thus on an elliptic curve L = J + K. If K = -J the line through this point intersect at a point at infinity O. Hence J + (-J) = O. A negative of a point is the reflection of that point with respect to x-axis [11].