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  5. The nonlinear resilient functions from binary block codes

The nonlinear resilient functions from binary block codes

A.A. Kuznetsov, L.T. Parhuts’, G.S. Tsymbal
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Methods of creation of nonlinear nodes of changeovers of the symmetric cryptographic algorithms are considered, indexes and criteria of their efficiency are researched. The method of creation of nonlinear resilient functions from the binary linear block codes is considered, perspectivity of the given method for obtaining of functions with the improved indexes of security is analyzed. Properties of synthesizable Boolean functions on various indexes of security are researched. Nonlinearity and resilient for the functions which are received from various classes of the linear block codes is estimated. Make comparisons with other methods of synthesis and the upper theoretical boundaries for the balanced cryptography functions.
Keywords: cryptography functions, nonlinearity, balanced, resiliency, correlation immunity, a nonlinear node of changeovers
Kuznetsov, A.A., Parkhuts, L.T. and Tsыmbal, H.S. (2012), "Postroenye nelyneinыkh эlastychnыkh funktsyi s yspolzovanyem dvoychnыkh blokovыkh kodov" , Information Processing Systems, Vol. 3(101), pp. 37-44.