AN APPARATUS AND METHOD BASED ON DYNAMIC WINDOW FUZZY CONTROLLER FOR SCALAR MULTIPLCATION IN ELLIPTIC CURVE CRYPTOGRAPHY ON WIRELESS SENSOR PLATFORM

摘要

1. An apparatus and method for multiplying an elliptic curve point P(x, y) by a scalar k to provide a point kP , the method c omprising the steps of: a) selecting an elliptic curve E over GF(p) and defined by y2 = x3 + ax + b where a,be GF(p) and 4a3 + 27b2 * 0 in the GF(p) where (p) is prime b) Selecting a fixed point P(x, y) on the said curve E which satisfy the above equation c) Multiplying by scalar k to above fixed point P(x, y) to generate the public key Q = kP.