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2005 On real quadratic number fields suitable for cryptography
Michael E. Pohst, Daniel Schielzeth
Experiment. Math. 14(2): 189-197 (2005).

Abstract

We present empirical results that suggest that there are real quadratic fields with properties similar to imaginary quadratic fields in terms of size and structure of the class group. Therefore, these class groups can also be used for encryption schemes such as the ElGamal scheme, where up to now, only class groups of imaginary quadratic fields have been considered. Some security aspects are also addressed.

Citation

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Michael E. Pohst. Daniel Schielzeth. "On real quadratic number fields suitable for cryptography." Experiment. Math. 14 (2) 189 - 197, 2005.

Information

Published: 2005
First available in Project Euclid: 30 September 2005

zbMATH: 1207.11107
MathSciNet: MR2169522

Subjects:
Primary: 11R11, 11Y40

Rights: Copyright © 2005 A K Peters, Ltd.

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Vol.14 • No. 2 • 2005
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