Elliptic scalar multiplication using point halving

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Abstract

We describe a new method for conducting scalar multiplication on a non-supersingular elliptic curve in characteristic two. The idea is to replace all point doublings in the double-and-add algorithm with a faster operation called point halving.

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Woodward knudsen, E. (1999). Elliptic scalar multiplication using point halving. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1716, pp. 134–149). Springer Verlag. https://doi.org/10.1007/978-3-540-48000-6_12

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