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» Generating Elliptic Curves of Prime Order
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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...
CORR
2004
Springer
104views Education» more  CORR 2004»
13 years 7 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...
DCC
2003
IEEE
14 years 7 months ago
The Insecurity of the Elliptic Curve Digital Signature Algorithm with Partially Known Nonces
Nguyen and Shparlinski recently presented a polynomial-time algorithm that provably recovers the signer's secret DSA key when a few bits of the random nonces k (used at each s...
Phong Q. Nguyen, Igor Shparlinski
FC
2004
Springer
129views Cryptology» more  FC 2004»
14 years 23 days ago
A Privacy-Friendly Loyalty System Based on Discrete Logarithms over Elliptic Curves
Abstract. Systems for the support of customer relationship management are becoming increasingly attractive for vendors. Loyalty systems provide an interesting possibility for vendo...
Matthias Enzmann, Marc Fischlin, Markus Schneider ...
IEICET
2008
126views more  IEICET 2008»
13 years 7 months ago
Skew-Frobenius Maps on Hyperelliptic Curves
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
Shunji Kozaki, Kazuto Matsuo, Yasutomo Shimbara