Sciweavers

8 search results - page 1 / 2
» Computing the tame kernel of quadratic imaginary fields
Sort
View
MOC
2000
74views more  MOC 2000»
13 years 4 months ago
Computing the tame kernel of quadratic imaginary fields
J. Tate has determined the group K2OF (called the tame kernel) for six quadratic imaginary number fields F = Q( d), where d = -3, -4, -7, -8, -11, -15. Modifying the method of Tat...
Jerzy Browkin, Karim Belabas, Herbert Gangl
MOC
2011
12 years 11 months ago
Class numbers of ray class fields of imaginary quadratic fields
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...
Omer Kucuksakalli
ASIACRYPT
2003
Springer
13 years 10 months ago
On Class Group Computations Using the Number Field Sieve
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...
Mark L. Bauer, Safuat Hamdy
MOC
2002
103views more  MOC 2002»
13 years 4 months ago
Computation of class numbers of quadratic number fields
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 ...
Stéphane Louboutin
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