Continuous approximation of SAT decision as applied to cryptographic analysis of asymmetric ciphers
V.I. Dylkeyt, R.T. Faizullin, I.G. Khnykin

F.M. Dostoevsky Omsk State University,

Omsk State Technical University

Full text of article: Russian language.

The one of the most interesting problem of discrete mathematics is the SAT (satisfiability) problem [9]. Good way in sat solver developing is to transform the SAT problem to the problem of continuous search of global minimums of the functional associated with the CNF. This article proves the special construction of the functional and offers to solve the system of non-linear algebraic equation that determines functional stationary points via modified method of consecutive approximation. The article describes parallel versions of the method. Also gives the schema of using the method to important problems of cryptographic analysis of asymmetric ciphers, including determining the concrete bits of multipliers (in binary form) in large factorization problems.

Key words:
CNF, SAT, resolution, minimization, cryptographic analysis, factorization.


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