Point doubling Sample Clauses

Point doubling. Point doubling is the addition of a point J on the elliptic curve to itself to obtain another point L on the same elliptic curve To double a point J to get L, i.e. to find L = 2J, consider a point J on an elliptic curve as shown in Figure 2. If y coordinate of the point J is not zero then the tangent line at J 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 doubling the point J, i.e., L = 2J. If y coordinate of the point J is zero then the tangent at this point intersects at a point at infinity O. Hence 2J = O when yj=0. Figure 2 shows point doubling [11]
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