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» Experimental Results on Class Groups of Real Quadratic Field...
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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 5 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
MOC
1998
88views more  MOC 1998»
13 years 5 months ago
A space efficient algorithm for group structure computation
We present a new algorithm for computing the structure of a finite abelian group, which has to store only a fixed, small number of group elements, independent of the group order....
Edlyn Teske
JSYML
2008
66views more  JSYML 2008»
13 years 5 months ago
Special groups whose isometry relation is a finite union of cosets
0-stable 0-categorical linked quaternionic mappings are studied and are shown to correspond (in some sense) to special groups which are 0stable, 0-categorical, satisfy AP(3) and ha...
Vincent Astier
STOC
2002
ACM
126views Algorithms» more  STOC 2002»
14 years 6 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren