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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Sufficient Conditions for Intractability over Black-Box Groups: Generic Lower Bounds for Generalized DL and DH Problems
verfasst von : Andy Rupp, Gregor Leander, Endre Bangerter, Alexander W. Dent, Ahmad-Reza Sadeghi
Erschienen in: Advances in Cryptology - ASIACRYPT 2008
Verlag: Springer Berlin Heidelberg
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The generic group model is a valuable methodology for analyzing the computational hardness of number-theoretic problems used in cryptography. Although generic hardness proofs exhibit many similarities, still the computational intractability of every newly introduced problem needs to be proven from scratch, a task that can easily become complicated and cumbersome when done rigorously. In this paper we make the first steps towards overcoming this problem by identifying criteria which guarantee the hardness of a problem in an extended generic model where algorithms are allowed to perform any operation representable by a polynomial function.