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ACISP
2005
Springer
13 years 10 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
CTRSA
2006
Springer
183views Cryptology» more  CTRSA 2006»
13 years 9 months ago
Efficient Doubling on Genus 3 Curves over Binary Fields
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 ...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang
TAMC
2010
Springer
13 years 10 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