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» Arithmetic on superelliptic curves
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ITCC
2005
IEEE
14 years 1 months ago
Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang
DCC
2000
IEEE
13 years 7 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas
AAECC
2005
Springer
99views Algorithms» more  AAECC 2005»
13 years 7 months ago
Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...
Tanja Lange
ANTS
1998
Springer
139views Algorithms» more  ANTS 1998»
13 years 12 months ago
Generating Arithmetically Equivalent Number Fields with Elliptic Curves
In this note we address the question whether for a given prime number p, the zeta-function of a number field always determines the p-part of its class number. The answer is known t...
Bart de Smit
CHES
2004
Springer
89views Cryptology» more  CHES 2004»
14 years 1 months ago
Low-Power Elliptic Curve Cryptography Using Scaled Modular Arithmetic
Erdinç Öztürk, Berk Sunar, Erkay ...