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» Montgomery Scalar Multiplication for Genus 2 Curves
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DCC
2006
IEEE
14 years 5 months ago
Trading Inversions for Multiplications in Elliptic Curve Cryptography
Recently, Eisentr?ager et al. proposed a very elegant method for speeding up scalar multiplication on elliptic curves. Their method relies on improved formulas for evaluating S = (...
Mathieu Ciet, Marc Joye, Kristin Lauter, Peter L. ...
ACISP
2005
Springer
13 years 12 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 10 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
CHES
2000
Springer
167views Cryptology» more  CHES 2000»
13 years 10 months ago
A High Performance Reconfigurable Elliptic Curve Processor for GF(2m)
This work proposes a processor architecture for elliptic curves cryptosystems over fields GF(2m ). This is a scalable architecture in terms of area and speed that exploits the abil...
Gerardo Orlando, Christof Paar
ASIACRYPT
2006
Springer
13 years 10 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...