Security Estimates for Quadratic Field Based Cryptosystems

Author:

Biasse Jean-François,Jacobson Michael J.,Silvester Alan K.

Publisher

Springer Berlin Heidelberg

Reference28 articles.

1. Bach, E.: Explicit bounds for primality testing and related problems. Math. Comp. 55(191), 355–380 (1990)

2. Bernstein, D.: How to find smooth parts of integers. Submitted to Mathematics of Computation

3. Biasse, J.-F.: Improvements in the computation of ideal class groups of imaginary quadratic number fields. To appear in Advances in Mathematics of Communications, http://www.lix.polytechnique.fr/~biasse/papers/biasseCHILE.pdf

4. Biasse, J.-F., Jacobson Jr., M.J.: Practical improvements to class group and regulator computation of real quadratic fields. To appear in ANTS 9 (2010)

5. Buchmann, J.: A subexponential algorithm for the determination of class groups and regulators of algebraic number fields. Séminaire de Théorie des Nombres (Paris), pp. 27–41 (1988–1989)

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