Works of the Kiev school of theoretical cryptography

Authors:
M. N. Savchuk
Affiliations:
Physicotechnical Institute of the National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2010

Citing 9
Cited 0

Pseudoirreducible Polynomials: Probabilistic Irreducibility Testing

Cybernetics and Systems Analysis
A probabilistic scheme of independent random elements distributed over a finite lattice. I. Exact probability distributions of functionals of union of random elements

Cybernetics and Systems Analysis
A probabilistic scheme of independent random elements distributed over a finite lattice. II. The method of lattice moments

Cybernetics and Systems Analysis
Systems of Random Equations over Finite Algebraic Structures

Cybernetics and Systems Analysis
Applying fast simulation to find the number of good permutations

Cybernetics and Systems Analysis
Invariance theorems for a class of systems of random nonlinear equations over an arbitrary finite ring with left unity

Cybernetics and Systems Analysis
Upper estimates of imbalance of bilinear approximations for round functions of block ciphers

Cybernetics and Systems Analysis
Solving the problem of invariance of probabilistic characteristics for a priori solvable systems of random nonlinear equations over a finite commutative ring with unity

Cybernetics and Systems Analysis
Refining the asymptotic approximation of the group size in the birthday paradox

Cybernetics and Systems Analysis

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Abstract

This paper presents works of the Kiev school of theoretical cryptography that are carried out mainly during the last two decades in the fields of cryptographic methods of information security, cryptanalysis, and related mathematical disciplines.