Abstract
This article proposes the technique to reduce the computation cost of scalar multiplication (SM) on elliptic curve for low processor constraints devices. Also the algorithm using the proposed technique secure against Side Channel Attack. There is no such algorithm is found to solve ECDLP in sub- exponential time. Equivalent strength of security is provided by ECC with shorter key size as compared to other Public key Cryptosystem. Therefore, ECC has acquired broad attention to research and development especially for low processor devices. Scalar multiplication on ECC operates on point doubling and adding. The secret the key stream consist of bit is '0' or '1'. While SM operate, doubling of points is followed by addition of points. This is a serious threat for low processor devices. For implementation, it is a challenge to develop algorithms that are not only efficient, but low cost.
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More From: International Journal of Pure and Apllied Mathematics
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