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AAECC
2003
Springer
165views Algorithms» more  AAECC 2003»
13 years 11 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
JSS
2011
106views more  JSS 2011»
12 years 10 months ago
A family of implementation-friendly BN elliptic curves
For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it p...
C. C. F. Pereira Geovandro, Marcos A. Simplí...
CHES
2003
Springer
106views Cryptology» more  CHES 2003»
14 years 1 months ago
Hyperelliptic Curve Cryptosystems: Closing the Performance Gap to Elliptic Curves
For most of the time since they were proposed, it was widely believed that hyperelliptic curve cryptosystems (HECC) carry a substantial performance penalty compared to elliptic cur...
Jan Pelzl, Thomas J. Wollinger, Jorge Guajardo, Ch...
JOC
2006
80views more  JOC 2006»
13 years 7 months ago
Elliptic Curves with Low Embedding Degree
Motivated by the needs of the pairing based cryptography, Miyaji, Nakabayashi and Takano have suggested a construction of so-called MNT elliptic curves with low embedding degree. ...
Florian Luca, Igor Shparlinski
ENC
2004
IEEE
13 years 11 months ago
On the Hardware Design of an Elliptic Curve Cryptosystem
We present a hardware architecture for an Elliptic Curve Cryptography System performing the three basic cryptographic schemes: DH key generation, encryption and digital signature....
Miguel Morales-Sandoval, Claudia Feregrino Uribe