2010 | OriginalPaper | Buchkapitel
Security Estimates for Quadratic Field Based Cryptosystems
verfasst von : Jean-François Biasse, Michael J. Jacobson Jr., Alan K. Silvester
Erschienen in: Information Security and Privacy
Verlag: Springer Berlin Heidelberg
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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 field. The algorithms used incorporate improvements over previously-used algorithms, and extensive numerical results are presented demonstrating their efficiency. This data is used as the basis for extrapolations, used to provide recommendations for parameter sizes providing approximately the same level of security as block ciphers with 80, 112, 128, 192, and 256-bit symmetric keys.