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- W3122793764 abstract "In this work, we present new arithmetic formulas for a projective version of the affine point representation (x, x + y/x), for x 6= 0, which leads to an efficient computation of the scalar multiplication operation over binary elliptic curves. A software implementation of our formulas applied to a binary Galbraith-LinScott elliptic curve defined over the field F2254 allows us to achieve speed records for protected/unprotected single/multi-core random-point elliptic curve scalar multiplication at the 127-bit security level. When executed on a Sandy Bridge 3.4GHz Intel Xeon processor, our software is able to compute a single/multi-core unprotected scalar multiplication in 69, 500 and 47, 900 clock cycles, respectively; and a protected single-core scalar multiplication in 114, 800 cycles. These numbers are improved by around 2% and 46% on the newer Ivy Bridge T. Oliveira and F. Rodŕiguez-Henŕiquez: A portion of this work was performed while the authors were visiting the University of Waterloo. The authors acknowledge partial support from the CONACyT project 132073. J. Lopez: The author was supported in part by the Intel Labs University Research Office. T. Oliveira and F. Rodŕiguez-Henŕiquez Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico E-mail: thomaz@computacion.cs.cinvestav.mx E-mail: francisco@cs.cinvestav.mx J. Lopez Institute of Computing, University of Campinas, Campinas, Brazil E-mail: jlopez@ic.unicamp.br D. F. Aranha Department of Computer Science, University of Braśilia, Braśilia, Brazil E-mail: dfaranha@unb.br and Haswell platforms, respectively, achieving in the latter a protected random-point scalar multiplication in 60,000 clock cycles." @default.
- W3122793764 created "2021-02-01" @default.
- W3122793764 creator A5003858026 @default.
- W3122793764 date "2014-01-01" @default.
- W3122793764 modified "2023-09-23" @default.
- W3122793764 title "Two is the fastest prime: lambda coordinates for binary elliptic curves" @default.
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