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» Efficient Arithmetic on Hessian Curves
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ICICS
1997
Springer
13 years 8 months ago
Efficient elliptic curve exponentiation
Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosys...
Atsuko Miyaji, Takatoshi Ono, Henri Cohen
CAGD
2002
98views more  CAGD 2002»
13 years 4 months ago
Comparison of interval methods for plotting algebraic curves
This paper compares the performance and efficiency of different function range interval methods for plotting f(x, y) = 0 on a rectangular region based on a subdivision scheme, whe...
Ralph R. Martin, Huahao Shou, Irina Voiculescu, Ad...
ANTS
2008
Springer
133views Algorithms» more  ANTS 2008»
13 years 6 months ago
Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors
We discuss arithmetic in the Jacobian of a hyperelliptic curve C of genus g. The traditional approach is to fix a point P C and represent divisor classes in the form E - d(P) wher...
Steven D. Galbraith, Michael Harrison, David J. Mi...
MASCOTS
2001
13 years 6 months ago
Performance of Finite Field Arithmetic in an Elliptic Curve Cryptosystem
As the Internet commerce becomes a more important part of the economy, network security is receiving more emphasis. Time spent in data encryption can be a significant performance ...
Zhi Li, John Higgins, Mark J. Clement
CHES
2010
Springer
132views Cryptology» more  CHES 2010»
13 years 5 months ago
Efficient Techniques for High-Speed Elliptic Curve Cryptography
In this paper, a thorough bottom-up optimization process (field, point and scalar arithmetic) is used to speed up the computation of elliptic curve point multiplication and report ...
Patrick Longa, Catherine H. Gebotys