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AAECC
2005
Springer
99views Algorithms» more  AAECC 2005»
13 years 4 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
ITCC
2005
IEEE
13 years 10 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
CTRSA
2006
Springer
183views Cryptology» more  CTRSA 2006»
13 years 8 months ago
Efficient Doubling on Genus 3 Curves over Binary Fields
The most important and expensive operation in a hyperelliptic curve cryptosystem (HECC) is scalar multiplication by an integer k, i.e., computing an integer k times a divisor D on ...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang