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ACISP
2005
Springer
14 years 2 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»
14 years 6 days 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
14 years 1 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