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» Computation of class numbers of quadratic number fields
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MOC
2002
90views more  MOC 2002»
13 years 7 months ago
Explicit bounds and heuristics on class numbers in hyperelliptic function fields
Abstract. In this paper, we provide tight estimates for the divisor class number of hyperelliptic function fields. We extend the existing methods to any hyperelliptic function fiel...
Andreas Stein, Edlyn Teske
JC
2000
135views more  JC 2000»
13 years 7 months ago
Decision Problems in Quadratic Function Fields of High Genus
This paper provides verification procedures for a number of decision problems in quadratic function fields of odd characteristic, thereby establishing membership of these problems...
Renate Scheidler
ANTS
1998
Springer
139views Algorithms» more  ANTS 1998»
13 years 11 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
MOC
2000
132views more  MOC 2000»
13 years 7 months ago
Lattice computations for random numbers
We improve on a lattice algorithm of Tezuka for the computation of the k-distribution of a class of random number generators based on finite fields. We show how this is applied to ...
Raymond Couture, Pierre L'Ecuyer