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JC
2000
13 years 6 months ago
2000
This paper provides verification procedures for a number of decision problems in quadratic function fields of odd characteristic, thereby establishing membership of these problems...
CHES
2003
Springer
14 years 7 days ago
2003
Springer
For most of the time since they were proposed, it was widely believed that hyperelliptic curve cryptosystems (HECC) carry a substantial performance penalty compared to elliptic cur...
COLING
1992
13 years 8 months ago
1992
ANTS
2010
Springer
13 years 11 months ago
2010
Springer
![Visualizing Elements of Sha[3] in Genus 2 Jacobians](https://www.sciweavers.org/files/imagecache/thumbnail/default/content.jpg "Visualizing Elements of Sha[3] in Genus 2 Jacobians")
Abstract. Mazur proved that any element ξ of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in...
AAECC
2005
Springer
13 years 7 months ago
2005
Springer
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...