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IACR
2011
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12 years 10 months ago
Faster Scalar Multiplication on Ordinary Weierstrass Elliptic Curves over Fields of Characteristic Three
Abstract. This paper proposes new explicit formulae for the point doubling, tripling and addition on ordinary Weierstrass elliptic curves with a point of order 3 over finite fiel...
Hongfeng Wu, Changan Zhao
COMBINATORICS
2000
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13 years 10 months ago
On Descents in Standard Young Tableaux
In this paper, explicit formulae for the expectation and the variance of descent functions on random standard Young tableaux are presented. Using these, it is shown that the norma...
Peter A. Hästö
TAMC
2010
Springer
14 years 4 months ago
Twisted Jacobi Intersections Curves
In this paper, the twisted Jacobi intersections which contains Jacobi intersections as a special case is introduced. We show that every elliptic curve over the prime field with t...
Rongquan Feng, Menglong Nie, Hongfeng Wu
ITCC
2005
IEEE
14 years 4 months ago
Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang