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» Efficient elliptic curve exponentiation
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IJNSEC
2010
247views more  IJNSEC 2010»
13 years 2 months ago
Hardware Implementation of Efficient Modified Karatsuba Multiplier Used in Elliptic Curves
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
Sameh M. Shohdy, Ashraf El-Sisi, Nabil A. Ismail
ICISC
2004
108views Cryptology» more  ICISC 2004»
13 years 9 months ago
Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
EUROCRYPT
2003
Springer
14 years 21 days ago
Improved Algorithms for Efficient Arithmetic on Elliptic Curves Using Fast Endomorphisms
Mathieu Ciet, Tanja Lange, Francesco Sica, Jean-Ja...
CORR
2010
Springer
97views Education» more  CORR 2010»
13 years 7 months ago
Cryptanalysis of an Efficient Signcryption Scheme with Forward Secrecy Based on Elliptic Curve
The signcryption is a relatively new cryptographic technique that is supposed to fulfill the functionalities of encryption and digital signature in a single logical step. Several ...
Mohsen Toorani, Ali Asghar Beheshti Shirazi
PKC
2010
Springer
210views Cryptology» more  PKC 2010»
13 years 9 months ago
Efficient Arithmetic on Hessian Curves
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
Reza Rezaeian Farashahi, Marc Joye