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» Arithmetic on superelliptic curves
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ISCAS
2007
IEEE
132views Hardware» more  ISCAS 2007»
14 years 1 months ago
Public-Key Cryptography on the Top of a Needle
Abstract— This work describes the smallest known hardware implementation for Elliptic/Hyperelliptic Curve Cryptography (ECC/HECC). We propose two solutions for Publickey Cryptogr...
Lejla Batina, Nele Mentens, Kazuo Sakiyama, Bart P...
CAIP
2007
Springer
188views Image Analysis» more  CAIP 2007»
14 years 1 months ago
Curvature Estimation in Noisy Curves
An algorithm of estimation of the curvature at each point of a general discrete curve in O(nlog2 n) is proposed. It uses the notion of blurred segment, extending the definition of...
Thanh Phuong Nguyen, Isabelle Debled-Rennesson
CG
2002
Springer
13 years 7 months ago
Robust adaptive polygonal approximation of implicit curves
We present an algorithm for computing a robust adaptive polygonal approximation of an implicit curve in the plane. The approximation is adapted to the geometry of the curve because...
Hélio Lopes, João Batista S. de Oliv...
ASIACRYPT
2003
Springer
13 years 11 months ago
Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...
Pradeep Kumar Mishra, Palash Sarkar
CTRSA
2003
Springer
130views Cryptology» more  CTRSA 2003»
14 years 25 days ago
Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation
We present an algorithm which speeds scalar multiplication on a general elliptic curve by an estimated 3.8% to 8.5% over the best known general methods when using affine coordinate...
Kirsten Eisenträger, Kristin Lauter, Peter L....