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» Construction of Hyperelliptic Curves with CM and Its Applica...
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ASIACRYPT
2000
Springer
12 years 9 days ago
Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems
Abstract. Construction of secure hyperelliptic curves is of most important yet most diļ¬ƒcult problem in design of cryptosystems based on the discrete logarithm problems on hyperel...
Jinhui Chao, Kazuto Matsuo, Hiroto Kawashiro, Shig...
IEICET
2008
126views more  IEICET 2008»
11 years 8 months ago
Skew-Frobenius Maps on Hyperelliptic Curves
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
Shunji Kozaki, Kazuto Matsuo, Yasutomo Shimbara
ASIACRYPT
2006
Springer
11 years 11 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
ACISP
2005
Springer
12 years 1 months ago
A Complete Divisor Class Halving Algorithm for Hyperelliptic Curve Cryptosystems of Genus Two
We deal with a divisor class halving algorithm on hyperelliptic curve cryptosystems (HECC), which can be used for scalar multiplication, instead of a doubling algorithm. It is not ...
Izuru Kitamura, Masanobu Katagi, Tsuyoshi Takagi
ITCC
2005
IEEE
12 years 1 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
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