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2013, Number 2(20)  


Theoretical Foundations of Applied Discrete Mathematics
About some properties of Horn and anti-Horn functions
S. P. Gorshkov
5
Lower and upper bounds for the affinity order of transformations of Boolean vector spaces
S. P. Gorshkov, A. V. Dvinyaninov
14
Connections between some parameters of perfectly balanced Boolean functions
S. V. Smyshlyaev
19
An additive approach to nonlinearity degree of discrete functions on a primary cyclic group
A. V. Cheremushkin
26

Mathematical Methods of Cryptography
Authentication code with secrecy based on projective geometry
A. U. Zubov
39

Mathematical Foundations of Informatics and Programming
Mapping parallel programs onto multicore computers by recurrent neural networks
M. S. Tarkov
50

Computational Methods in Discrete Mathematics
Fast algorithm for recovering the true solution with fixed weight of a system of linear Boolean equations with noised right-hand side
A. N. Alekseychuk, A. Yu. Gryaznukhin
59
A formula for the number of combinations with constrained repetitions and its application
V. V. Gotsulenko
71
Effective implementation of algorithm for solving the travelling salesman problem by branch-and-bound method
Yu. L. Kostyuk
78
Modification of the Lagarias–Odlyzhko method for solving the generalized knapsack problem and the systems of knapsack problems
D. M. Murin
91
Time- and space-efficient evaluation of the real logarithmic function on Schonhage machine
S. V. Yakhontov
101

Discrete Models for Real Processes
Markowitz investment Boolean problem in case of uncertainty, multicriteria and risk
V. A. Emelichev, R. P. Shatsov
115
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