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- W1574277617 abstract "Scalar multiplication is the heart of elliptic curve cryptosystems. Several techniques have been proposed for efficient scalar multiplication. Mixed coordinate strategy is a useful technique for implementing efficient scalar multiplication. It splits a scalar multiplication into a few parts, and performs each part in the best coordinate. Also, the running time of scalar multiplication can be reduced by applying direct computations in the evaluation stage. This technique directly computes points of the form 2P + Q from points P and Q on the elliptic curve. In this paper, we apply mixed coordinate strategy and direct computations to various scalar multiplication algorithms such as binary method, NAF and window NAF methods, MOF and window MOF methods to find the best combinations of mixed coordinates strategy and direct computations for scalar multiplication with respect to the computational costs and memory consumption." @default.
- W1574277617 created "2016-06-24" @default.
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- W1574277617 date "2010-01-01" @default.
- W1574277617 modified "2023-09-27" @default.
- W1574277617 title "Efficient Scalar Multiplications for Elliptic Curve Cryptosystems Using Mixed Coordinates Strategy and Direct Computations" @default.
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- W1574277617 doi "https://doi.org/10.1007/978-3-642-17619-7_14" @default.
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