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Selecting Cryptographic Key Sizes
Authors:Arjen K. Lenstra  Eric R. Verheul
Affiliation:(1) Citibank, N.A., 1 North Gate Road, Mendham, NJ 07945-3104, U.S.A. arjen.lenstra@citicorp.com and Technische Universiteit Eindhoven, US;(2) PricewaterhouseCoopers, GRMS Crypto Group, Goudsbloemstraat 14, 5644 KE Eindhoven, The Netherlands eric.verheul@[nl.pwcglobal.com, pobox.com], NL
Abstract:In this article we offer guidelines for the determination of key sizes for symmetric cryptosystems, RSA, and discrete logarithm-based cryptosystems both over finite fields and over groups of elliptic curves over prime fields. Our recommendations are based on a set of explicitly formulated parameter settings, combined with existing data points about the cryptosystems. Received September 1999 and revised February 2001 Online publication 14 August 2001
Keywords:. Symmetric key length   Public key length   RSA   ElGamal   Elliptic curve cryptography   Moore's law.
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