32 search results - page 5 / 7 » Formulae for Arithmetic on Genus 2 Hyperelliptic Curves |
AAECC
2007
Springer
14 years 11 months ago
2007
Springer
We study genus g hyperelliptic curves with reduced automorphism group A5 and give equations y2 = f(x) for such curves in both cases where f(x) is a decomposable polynomial in x2 or...
135
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CTRSA
2006
Springer
15 years 3 months ago
2006
Springer
The most important and expensive operation in a hyperelliptic curve cryptosystem (HECC) is scalar multiplication by an integer k, i.e., computing an integer k times a divisor D on ...
PAIRING
2010
Springer
14 years 10 months ago
2010
Springer
In this paper we propose a very simple and efficient encoding function from Fq to points of a hyperelliptic curve over Fq of the form H : y2 = f(x) where f is an odd polynomial. Hy...
104
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CHES
2006
Springer
15 years 3 months ago
2006
Springer
Abstract. We propose a superscalar coprocessor for high-speed curvebased cryptography. It accelerates scalar multiplication by exploiting instruction-level parallelism (ILP) dynami...
109
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MOC
2002
14 years 11 months ago
2002
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...