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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
IJNSEC
2006
94views more  IJNSEC 2006»
13 years 7 months ago
A Binary Redundant Scalar Point Multiplication in Secure Elliptic Curve Cryptosystems
The main back-bone operation in elliptic curve cryptosystems is scalar point multiplication. The most frequently used method implementing the scalar point multiplication which is ...
Sangook Moon
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
CHES
2008
Springer
134views Cryptology» more  CHES 2008»
13 years 9 months ago
Ultra High Performance ECC over NIST Primes on Commercial FPGAs
Elliptic Curve Cryptosystems (ECC) have gained increasing acceptance in practice due to their significantly smaller bit size of the operands compared to other public-key cryptosyst...
Tim Güneysu, Christof Paar
ITCC
2005
IEEE
14 years 1 months ago
A Scalable Dual Mode Arithmetic Unit for Public Key Cryptosystems
Elliptic Curve Cryptosystems (ECC) have become popular in recent years due to their smaller key sizes than traditional public key schemes such as RSA. However the gap between the ...
Francis M. Crowe, Alan Daly, William P. Marnane