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• W1964973855 abstract "Single and double scalar multiplications are the most computational intensive operations in elliptic curve based cryptosystems. Improving the performance of these operations is generally achieved by means of integer recoding techniques, which aim at minimizing the scalars' density of nonzero digits. The hybrid binary-ternary number system provides both short representations and small density. In this paper, we present three novel algorithms for both single and double scalar multiplication. We present a detailed theoretical analysis, together with timings and fair comparisons over both tripling-oriented Doche-Ichart-Kohel curves and generic Weierstrass curves. Our experiments show that our algorithms are almost always faster than their widely used counterparts." @default.
• W1964973855 created "2016-06-24" @default.
• W1964973855 creator A5003625102 @default.
• W1964973855 creator A5037298442 @default.
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• W1964973855 date "2011-02-01" @default.
• W1964973855 modified "2023-09-24" @default.
• W1964973855 title "Hybrid Binary-Ternary Number System for Elliptic Curve Cryptosystems" @default.
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• W1964973855 doi "https://doi.org/10.1109/tc.2010.138" @default.
• W1964973855 hasPublicationYear "2011" @default.
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