4. The binary methods for the elliptic scalar multiplication

Two methods for computing the scalar multiplication vP have been created based on using the binary representation of a scalar v. One of them is called the right-to-left binary (RLB) method, and another one is called left-to-right binary (LRB) method [1, 9, 10]. These methods depend on the basic repeated-square-and multiply methods for exponentiation with additive version. Using the RLB method, the process of v-bits starts from the right to the left, whereas the v-bits processing starts from the left to the right using the LRB method. The RLB and LRB methods are discussed mathematically as follows.
