Speeding up elliptic scalar multiplication with precomputation

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Abstract

It is often required in many elliptic curve cryptosystems to compute kG for a fixed point G and a random integer k. In this paper we present improved algorithms for such elliptic scalar multiplication. Implementation results on Pentium II and Alpha 21164 microprocessors are also provided to demonstrate the presented improvements in actual implementations.

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Lim, C. H., & Hwang, H. S. (2000). Speeding up elliptic scalar multiplication with precomputation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1787, pp. 102–119). Springer Verlag. https://doi.org/10.1007/10719994_9

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