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» Cryptosystems Based on Elliptic Curve Pairing
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EUROCRYPT
1999
Springer
13 years 11 months ago
On the Performance of Hyperelliptic Cryptosystems
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
Nigel P. Smart
AMC
2006
91views more  AMC 2006»
13 years 7 months ago
Fast elliptic scalar multiplication using new double-base chain and point halving
The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication. Based on the double-base chain representation of scalar using...
Kwok-Wo Wong, Edward C. W. Lee, L. M. Cheng, Xiaof...
PKC
2004
Springer
151views Cryptology» more  PKC 2004»
14 years 25 days ago
On the Optimal Parameter Choice for Elliptic Curve Cryptosystems Using Isogeny
The isogeny for elliptic curve cryptosystems was initially used for the efficient improvement of order counting methods. Recently, Smart proposed the countermeasure using isogeny f...
Toru Akishita, Tsuyoshi Takagi
CRYPTO
2010
Springer
188views Cryptology» more  CRYPTO 2010»
13 years 8 months ago
Efficient Indifferentiable Hashing into Ordinary Elliptic Curves
Abstract. We provide the first construction of a hash function into ordinary elliptic curves that is indifferentiable from a random oracle, based on Icart's deterministic enco...
Eric Brier, Jean-Sébastien Coron, Thomas Ic...
ASIACRYPT
2000
Springer
13 years 11 months ago
Trapdooring Discrete Logarithms on Elliptic Curves over Rings
This paper introduces three new probabilistic encryption schemes using elliptic curves over rings. The cryptosystems are based on three specific trapdoor mechanisms allowing the r...
Pascal Paillier