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CTRSA
2003
Springer
130views Cryptology» more  CTRSA 2003»
14 years 21 days ago
Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation
We present an algorithm which speeds scalar multiplication on a general elliptic curve by an estimated 3.8% to 8.5% over the best known general methods when using affine coordinate...
Kirsten Eisenträger, Kristin Lauter, Peter L....
INDOCRYPT
2004
Springer
14 years 25 days ago
A Provably Secure Elliptic Curve Scheme with Fast Encryption
Abstract. We present a new elliptic curve cryptosystem with fast encryption and key generation, which is provably secure in the standard model. The scheme uses arithmetic modulo n2...
David Galindo, Sebastià Martín Molle...
PAIRING
2009
Springer
124views Cryptology» more  PAIRING 2009»
14 years 2 months ago
Fast Hashing to G2 on Pairing-Friendly Curves
When using pairing-friendly ordinary elliptic curves over prime fields to implement identity-based protocols, there is often a need to hash identities to points on one or both of ...
Michael Scott, Naomi Benger, Manuel Charlemagne, L...
CRYPTO
2007
Springer
130views Cryptology» more  CRYPTO 2007»
14 years 1 months ago
A Security Analysis of the NIST SP 800-90 Elliptic Curve Random Number Generator
An elliptic curve random number generator (ECRNG) has been approved in a NIST standards and proposed for ANSI and SECG draft standards. This paper proves that, if three conjecture...
Daniel R. L. Brown, Kristian Gjøsteen
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