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The algorithm of random length sequences synthesis for frame synchronization of digital television systems.

Sadchenko, A. V.; Kushnirenko, O. A.; Troyansky, A. V.; Садченко, А. В.; Кушніренко, О. А.; Троянський, О. В. (Odessa Polytechnic University, 2015)

Digital television systems need to ensure that all digital signals processing operations are performed simultaneously and consistently. Frame synchronization dictated by the need to match phases of transmitter and receiver ...
Algorithm for removing the spectral equivalence of component Boolean functions of Nyberg-design S-boxes

Sokolov, A. V.; Barabanov, N. A.; Соколов, Артем Викторович; Барабанов, Николай Алексеевич (2015-05)

The phenomenon of spectral equivalence of component Boolean functions of Nyberg-design S-boxes has been investigated. An effective algorithm for removing the spectral equivalence is proposed based on the introduction of ...
Algorithm for synthesis of efficient S-boxes based on cellular automata

Mazurkov, M. I.; Sokolov, A. V. (2016)

A method for synthesis of efficient schemes of S-boxes based on cellular automata satisfying the main criteria of cryptographic quality has been proposed. The cellular automata rules making it possible to obtain S-boxes ...
BLOCK SYMMETRIC CRYPTOGRAPHIC ALGORITHM BASED ON PRINCIPLES OF VARIABLE BLOCK LENGTH AND MANY-VALUED LOGIC

Zhdanov, Oleg N.; Sokolov, Artem V. (Pushpa Publishing House, 2016)

The paper is devoted to the development of a new cryptographic algorithm, based on the principles of many-valued logic and variable block length. The results of experiments confirm the cryptographic strength of the developed ...
Construction Method for Infinite Families of Bent Sequences

Sokolov, Artem; Tsevukh, Yhor; Соколов, Артем Викторович; Цевух, Игорь Васильевич; Соколов, Артем Вікторович; Цевух, Ігор Васильович (2018)

Bent-sequences is one of the most important classes of Boolean functions, which are widely used in modern cryptographic algorithms, and telecommunication systems that are based on CDMA and OFDM standards. The problem of ...
Constructive method for synthesis of complete classes of multilevel de Bruijn sequences

Mazurkov, M. I.; Sokolov, A. V.; Мазурков, Михаил Иванович; Соколов, Артем Викторович (2013-01)

Two new presentation forms of multilevel de Bruijn sequences (BS) have been introduced as geometric and algebraic structures. The attractive and practical properties of these structures have been found. This formed the ...
Constructive method for the synthesis of nonlinear S-boxes satisfying the strict avalanche criterion

Sokolov, A. V.; Соколов, Артем Викторович (2013-08)

A constructive method is proposed for the synthesis of cryptographic substitution boxes (S-boxes) satisfying both the strict avalanche criterion and the high nonlinearity criterion, where smaller length S-boxes and highly ...
Constructive synthesis methods of binary error correcting code of length 32 for MC-CDMA technology

Mazurkov, M.I.; Sokolov, A.V. (2019)

The article proposes the constructive synthesis methods of binary error correcting code of length N = 32 with the optimal value of peak-to-average power ratio of Walsh–Hadamard spectrum for MC-CDMA technology. The authors ...
Extending Nyberg construction on Galois fields of odd characteristic

Zhdanov, O. N.; Sokolov, A. V.; Жданов, Олег Николаевич; Соколов, Артем Викторович (2017-12)

As is known, the Nyberg design S-boxes possess the cryptographic properties valuable for practical application. Up to date this construction has been considered only for fields of characteristic 2. This paper presents an ...
The Hotelling detector using quadrature channels decorrelation.

Averochkin, V. A.; Troyanskiy, А. V.; Аверочкин, В. А.; Троянский, А. В.; Аверочкін, В. О.; Троянський, О. В. (Odessa Politechnic University, 2014)

Introduction of automated radar detection systems makes it an urgent task to develop and implement detection algorithms which provide false alarm probability stabilization for a priori unknown interference environment ...
Method of S-boxes synthesis based on the criterion of zero correlation between the output and input data vectors and the strict avalanche criterion

Mazurkov, M. I.; Sokolov, A. V.; Мазурков, Михаил Иванович; Соколов, Артем Викторович (2014-08)

A constructive method of synthesis of correlation-immune S-boxes of length N = 256 satisfying the strict avalanche criterion has been proposed. Its properties and estimates of the number of optimal S-boxes that can be ...
Multiple Energies Passive Computer Tomography of Nuclear Fuel

Маслов, Олег Викторович; Мокрицкий, Вадим Анатольевич; Соколов, Артем Викторович; Maslov, O.V.; Mokritskiy, V.A.; Sokolov, A.V. (2018-01)

The passive algebraic reconstructive tomography allows estimation of the state of the fuel inside fuel assemblies. The analysis of results of reconstruction of radioactivity in fuel pins by volume FA has been carried out. ...
Non-linear S-box of Nyberg construction with maximal avalanche effect

Mazurkov, M. I.; Sokolov, A. V.; Мазурков, Михаил Иванович; Соколов, Артем Викторович (2014-06)

The full class of irreducible polynomials f(z) of eight degree over all isomorphic representations of Galois field GF(256) is constructed. The set of optimal pairs {f(z), A}, where A is nonsingular affine transformation ...
Nonlinear substitution S-boxes based on composite power residue codes

Mazurkov, M. I.; Sokolov, A. V.; Мазурков, Михаил Иванович; Соколов, Артем Викторович (2013-09)

A design technique based on the composite power residue codes has been proposed for building new constructions of nonlinear substitution S-boxes of length N = 256 and volume |S| = 8.6248×10^13. The synthesized constructions ...
Nonlinear transformations based on complete classes of isomorphic and automorphic representations of field GF(256)

Mazurkov, M. I.; Sokolov, A. V.; Мазурков, Михаил Иванович; Соколов, Артем Викторович (2013-11)

A complete class of maximum-period linear recurrent sequences (MLRS) of volume ψ = 55,296 based on all automorphic and isomorphic representations of the main GF(256) field has been built. Constructions of S-boxes based on ...
Nyberg construction nonlinear transforms based on all isomorphic representations of the Galois field GF(512)

Sokolov, A. V. (2015)

The paper deals with questions of increasing the efficiency of block symmetric cryptographic algorithms used in modern telecommunications systems. One of the most important elements of any modern symmetric block cryptographic ...
QPSK-Modulation Modem Invariant to the Rotation of the Signal Constellation Plane

Kushnirenko, Oleg; Sadchenko, Andrey (2018)

In order to increase the efficiency of dedicated frequency channels, i.e. to increase the specific data transfer rate, multipositional quadrature phase shift keying (QPSK, aka 4-PSK) should be used. The problems with ...
Regular Synthesis Method of a Complete Class of Ternary Bent-Sequences and Their Nonlinear Properties

Sokolov, A.V.; Zhdanov, O.N.; Соколов, Артем Викторович; Жданов, Олег Николаевич (2016)

A regular synthesis method of the full class of ternary bent-sequences based on their representation in the form of 3-bent-squares is developed. The formula for the nonlinearity estimation of ternary sequences, based on ...
REGULAR SYNTHESIS METHOD OF THE SEQUENCES OF LENGTH N = 24 WITH OPTIMALPAPR OF WALSH-HADAMARD SPECTRUM

Sokolov, A. V. (2016)

The paper is devoted to the development of regular synthesis method of sequences of length N = 24 with an optimal Peak-to-average power ratio (PAPR) of Walsh-Hadamard spectrum on the basis of spectral rectangles. The range ...
Spectral and Nonlinear Properties of the Sum of Boolean Functions

Sokolov, A.V.; Zhdanov, O.N.; Соколов, Артем Викторович; Жданов, Олег Николаевич (2019)

Boolean functions are the mathematical basis of modern cryptographic algorithms. However, in practice, a set of interrelated Boolean functions is often used to construct a cryptographic algorithm. This circumstance makes ...

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