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ASIACRYPT
1999
Springer
13 years 9 months ago
Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field
In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We pres...
Yongfei Han, Peng-Chor Leong, Peng-Chong Tan, Jian...
ICICS
1997
Springer
13 years 8 months ago
Efficient elliptic curve exponentiation
Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosys...
Atsuko Miyaji, Takatoshi Ono, Henri Cohen
AAECC
2003
Springer
165views Algorithms» more  AAECC 2003»
13 years 8 months ago
Fast Point Multiplication on Elliptic Curves through Isogenies
Elliptic curve cryptosystems are usually implemented over fields of characteristic two or over (large) prime fields. For large prime fields, projective coordinates are more suitabl...
Eric Brier, Marc Joye
IJNSEC
2006
94views more  IJNSEC 2006»
13 years 4 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
ASIACRYPT
2000
Springer
13 years 9 months ago
Weil Descent of Elliptic Curves over Finite Fields of Characteristic Three
The paper shows that some of elliptic curves over finite fields of characteristic three of composite degree are attacked by a more effective algorithm than Pollard’s ρ method...
Seigo Arita