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» Experimental Results on Class Groups of Real Quadratic Field...
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MOC
1998
106views more  MOC 1998»
14 years 11 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
15 years 11 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
127
Voted
MOC
1998
88views more  MOC 1998»
14 years 11 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
83
Voted
JSYML
2008
66views more  JSYML 2008»
14 years 11 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
91
Voted
STOC
2002
ACM
126views Algorithms» more  STOC 2002»
15 years 12 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