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CORR
2010
Springer
192views Education» more  CORR 2010»
13 years 4 months ago
Constructing elliptic curve isogenies in quantum subexponential time
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isog...
Andrew M. Childs, David Jao, Vladimir Soukharev
CHES
2000
Springer
167views Cryptology» more  CHES 2000»
13 years 11 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
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
CTRSA
2006
Springer
183views Cryptology» more  CTRSA 2006»
13 years 11 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
ASAP
2004
IEEE
141views Hardware» more  ASAP 2004»
13 years 11 months ago
Evaluating Instruction Set Extensions for Fast Arithmetic on Binary Finite Fields
Binary finite fields GF(2n ) are very commonly used in cryptography, particularly in publickey algorithms such as Elliptic Curve Cryptography (ECC). On word-oriented programmable ...
A. Murat Fiskiran, Ruby B. Lee