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» A Polynomial Representation of the Diffie-Hellman Mapping
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72
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AAECC
2002
Springer
98views Algorithms» more  AAECC 2002»
14 years 10 months ago
A Polynomial Representation of the Diffie-Hellman Mapping
Let Fq be the finite field of order q and be an element of Fq of order d. The construction of an explicit polynomial f (X) Fq[X] of degree d - 1 with the property f i = i2 for ...
Wilfried Meidl, Arne Winterhof
70
Voted
AAECC
2003
Springer
104views Algorithms» more  AAECC 2003»
15 years 1 months ago
Interpolation of the Elliptic Curve Diffie-Hellman Mapping
Abstract. We prove lower bounds on the degree of polynomials interpolating the Diffie
Tanja Lange, Arne Winterhof
89
Voted
MASCOTS
2001
14 years 11 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
67
Voted
CDC
2009
IEEE
168views Control Systems» more  CDC 2009»
15 years 3 months ago
Balanced state-space representations: a polynomial algebraic approach
Abstract— We show how to compute a minimal Riccatibalanced state map and a minimal Riccati-balanced state space representation starting from an image representation of a strictly...
Paolo Rapisarda, Harry L. Trentelman
ICRA
2005
IEEE
134views Robotics» more  ICRA 2005»
15 years 3 months ago
Path Planning for Permutation-Invariant Multi-Robot Formations
— In this paper we demonstrate path planning for our formation space that represents permutation-invariant multirobot formations. Earlier methods generally pre-assign roles for e...
Stephen Kloder, Seth Hutchinson