Abstract
This note discusses two Decisional Diffie-Hellman assumption variants introduced by Abdalla and Pointcheval at Financial Cryptography’ 05. Those authors introduce two new problems and associated assumptions called the Chosen-Basis Decisional Diffie-Hellman assumption #1 (CDDH1), and the Chosen-Basis Decisional Diffie-Hellman assumption #2 (CDDH2), and suggest that these assumptions warrant further analysis. The problems are each defined in terms of a formal experiment, and advantage function, and the assumption is that an adversary should have negligible advantage. However, in this note, we exhibit a simple adversary for each problem, such that the advantage is significant. These new assumptions were motivated by the requirements of a proof of security for a three-party password authentication scheme described by the same authors. We conclude that the level of security assurance provided by this scheme is an open question.
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References
Abdalla, M., Pointcheval, D.: Interactive Diffie-Hellman Assumptions With Applications to Password-Based Authentication. In: S. Patrick, A., Yung, M. (eds.) FC 2005. LNCS, vol. 3570, pp. 341–356. Springer, Heidelberg (2005)
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Szydlo, M. (2006). A Note on Chosen-Basis Decisional Diffie-Hellman Assumptions. In: Di Crescenzo, G., Rubin, A. (eds) Financial Cryptography and Data Security. FC 2006. Lecture Notes in Computer Science, vol 4107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11889663_14
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DOI: https://doi.org/10.1007/11889663_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-46255-2
Online ISBN: 978-3-540-46256-9
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