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MOC
1998
106views more  MOC 1998»
13 years 5 months ago
Computations of class numbers of real quadratic fields
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Anitha Srinivasan
DCC
2001
IEEE
14 years 4 months ago
Cryptography in Quadratic Function Fields
We describe several cryptographic schemes in quadratic function fields of odd characteristic. In both the real and the imaginary representation of such a field, we present a Diffi...
Renate Scheidler
JC
2000
135views more  JC 2000»
13 years 5 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
MOC
2002
109views more  MOC 2002»
13 years 5 months ago
The parallelized Pollard kangaroo method in real quadratic function fields
Abstract. We show how to use the parallelized kangaroo method for computing invariants in real quadratic function fields. Specifically, we show how to apply the kangaroo method to ...
Andreas Stein, Edlyn Teske
ANTS
2006
Springer
118views Algorithms» more  ANTS 2006»
13 years 9 months ago
Computation of Locally Free Class Groups
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to prese...
Werner Bley, Robert Boltje