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» Elliptic Curves of Prime Order over Optimal Extension Fields...
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IEICET
2008
126views more  IEICET 2008»
13 years 5 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
JSS
2011
106views more  JSS 2011»
12 years 8 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...
ASAP
2004
IEEE
160views Hardware» more  ASAP 2004»
13 years 9 months ago
Architectural Support for Arithmetic in Optimal Extension Fields
Public-key cryptosystems generally involve computation-intensive arithmetic operations, making them impractical for software implementation on constrained devices such as smart ca...
Johann Großschädl, Sandeep S. Kumar, Ch...
EUROCRYPT
1999
Springer
13 years 10 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
CORR
2004
Springer
104views Education» more  CORR 2004»
13 years 5 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...