15 search results - page 1 / 3 » Class numbers of ray class fields of imaginary quadratic fie... |
MOC
2011
12 years 11 months ago
2011
Let K be an imaginary quadratic field with class number one and let p ⊂ OK be a degree one prime ideal of norm p not dividing 6dK . In this paper we generalize an algorithm of S...
ASIACRYPT
2003
Springer
13 years 10 months ago
2003
Springer
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
MOC
2002
13 years 4 months ago
2002
We explain how one can dispense with the numerical computation of approximations to the transcendental integral functions involved when computing class numbers of quadratic number ...
ACISP
2010
Springer
13 years 6 months ago
2010
Springer
Abstract. We describe implementations for solving the discrete logarithm problem in the class group of an imaginary quadratic field and in the infrastructure of a real quadratic fi...
SODA
2010
ACM
14 years 2 months ago
2010
ACM
This paper analyzes the complexity of problems from class field theory. Class field theory can be used to show the existence of infinite families of number fields with constant ro...