Sciweavers

ASIACRYPT
2008
Springer

Sufficient Conditions for Intractability over Black-Box Groups: Generic Lower Bounds for Generalized DL and DH Problems

13 years 5 months ago
Sufficient Conditions for Intractability over Black-Box Groups: Generic Lower Bounds for Generalized DL and DH Problems
Abstract. The generic (aka. black-box) group model is a valuable methodology for analyzing the computational hardness of number-theoretic problems used in cryptography. Since the properties ensuring generic hardness have not been well-studied and formalized yet, for each newly proposed problem an entire hardness proof has to be done from scratch. In this work we identify criteria that guarantee the hardness of generalized DL and DH problems in an extended generic group model where algorithms are allowed to perform any operation representable by a polynomial function. Assuming our conditions are satisfied, we are able to provide negligible upper bounds on the success probability of such algorithms. As useful means for the formalization of definitions and conditions we explicitly relate the concepts of generic algorithms and straight-line programs that have only been used independently in cryptography so far.
Andy Rupp, Gregor Leander, Endre Bangerter, Alexan
Added 12 Oct 2010
Updated 12 Oct 2010
Type Conference
Year 2008
Where ASIACRYPT
Authors Andy Rupp, Gregor Leander, Endre Bangerter, Alexander W. Dent, Ahmad-Reza Sadeghi
Comments (0)