Search Results - "V. M. Deundyak"

On the Properties of Algebraic Geometric Codes as Copy Protection Codes by Deundyak, V. M., Zagumennov, D. V.

“…Traceability schemes that are applied to broadcast encryption can prevent unauthorized parties from accessing the distributed data. In a traceability scheme, a…”
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A Key Distribution System Based on Hadamard Designs by Deundyak, V. M., Taran, A. A.

“…— The topical problem of the key distribution in a community for providing secure communication among its participants is studied. To solve this problem, key…”
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Relationship between Codes and Idempotents in a Dihedral Group Algebra by Vedenev, K. V., Deundyak, V. M.

“…Codes in the dihedral group algebra F q D 2 n , i.e., left ideals in this algebra, are studied. A generating idempotent is constructed for every code in F q D…”
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Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the L2 Space on the Heisenberg Group by Denisenko, V. V., Deundyak, V. M.

“…We consider the Heisenberg group ℍ n with Korányi norm. In the space L 2 (ℍ n ), we introduce integral operators with homogeneous kernels of compact type and…”
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Codes in a Dihedral Group Algebra by Vedenev, K. V., Deundyak, V. M.

“…In 1978, Robert McEliece constructed the first asymmetric code-based cryptosystem using noise-immune Goppa codes; no effective key attacks has been described…”
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Two-Dimensional Homogenous Integral Operators and Singular Operators with Measurable Coefficients in Fibers by Deundyak, V. M.

“…We study a new class of homogeneous operators in L 2 ( ℝ 2 ) that, after foliation of ℝ 2 into concentric circles, are represented in fibres as singular…”
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Fourier Method for Solving Two-Sided Convolution Equations on Finite Noncommutative Groups by Deundyak, V. M., Leonov, D. A.

“…The Fourier method on commutative groups is used in many fields of mathematics, physics, and engineering. Nowadays, this method finds increasingly wide…”
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Decoding the Tensor Product of MLD Codes and Applications for Code Cryptosystems by Deundyak, V. M., Kosolapov, Y. V., Lelyuk, E. A.

“…For the practical application of code cryptosystems such as McEliece, the code used in the cryptosystem should have a fast decoding algorithm. On the other…”
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DIFFERENTIATION OF POLYNOMIALS IN SEVERAL VARIABLES OVER GALOIS FIELDS OF FUZZY CARDINALITY AND APPLICATIONS TO REED-MULLER CODES by Deundyak, V. M., Mogilevskaya, N. S.

“…Introduction. Polynomials in several variables over Galois fields provide the basis for the Reed-Muller coding theory, and are also used  in a number of…”
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Cryptosystem Based on Induced Group Codes by Deundyak, V. M., Kosolapov, Y. V.

“…The code C on a group G, induced by the code N on a subgroup H, has the property that for decoding the code C one can use the decoder for the code N…”
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Algorithms for Majority Decoding of Group Codes by Deundyak, V. M., Kosolapov, Y. V.

“…We consider a problem of constructive description and justification of the algorithms necessary for a practical implementation of the majority decoder for group…”
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On the Firmness Code Noising to the Statistical Analysis of the Observable Data of Repeated Repetition by Deundyak, V. M., Kosolapov, J. V.

“…We investigate the firmness of code noising to the statistical analysis of the evesdropped messages of repeated repetition. We give a structural description of…”
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A Graph-Theoretical Method for Decoding Some Group MLD-Codes by Deundyak, V. M., Lelyuk, E. A.

“…We construct the class of majority-logical decodable group codes using a method for combining the codes that are based on the tensor product and the sum of…”
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A Graph-Theoretical Method for Decoding Some GroupMLD-Codes by Deundyak, V M, Lelyuk, E A

“…We construct the class of majority-logical decodable group codes using a method for combining the codes that are based on the tensor product and the sum of…”
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Convolution Operators with Weakly Oscillating Coeffcients in Hilbert Moduli on Groups and Applications by Deundyak, V. M.

“…For an arbitrary C * -algebra we study the solvability of convolution operators on locally compact groups with weakly oscillating coefficients in Hilbert…”
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On the Solvability of Integral Operators with Bihomogeneous Kernels of the Compact Type and Variable Coefficients by Deundyak, V. M.

“…In this paper, we consider the C ∗ -algebra Ω mult (ℝ n ) of multiplicatively weakly oscillating functions and a new wide class of kernels of compact type,…”
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Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type by Deundyak, V. M.

“…The problem of getting effective Fredholm conditions for operators with bihomogeneous kernels reduces to the question of invertibility for families of…”
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Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients by Deundyak, V. M.

“…In the space L p (ℝ n ), 1 < p < +∞, we consider a new class of integral operators with kernels homogeneous of degree − n , which includes the class of…”
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Analysis of properties of q-ary Reed–Muller error-correcting codes viewed as codes for copyright protection by Deundyak, V. M., Yevpak, S. A., Mkrtichyan, V. V.

“…We consider a data protection scheme where error-correcting codes can be used for efficient protection against unauthorized copying organized by coalitions of…”
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Solution to error source model selection problem in IS EASECC by Deundyak, V. M., Zhdanova, M. A., Mogilevskaya, N. S.

“…Introduction. The development of error-correcting techniques in digital transmission channels is considered. This is a multiparameter problem the solution of…”
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