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pro vyhledávání: '"V A Edemskiy"'
Autor:
V. A. Edemskiy
Publikováno v:
Учёные записки Казанского университета. Серия Физико-математические науки, Vol 166, Iss 2 (2024)
The linear complexity of new generalized cyclotomic sequences with odd period was estimated. The sequences were defined using generalized cyclotomic classes composite modulo. Conditions sufficient for the existence of binary and non-binary sequences
Externí odkaz:
https://doaj.org/article/5f38a4e443fd42fbbc0a32628fa87e64
Autor:
V A Edemskiy, S V Garbar
Publikováno v:
Journal of Physics: Conference Series. 2052:012007
In this paper, we consider binary generalized cyclotomic sequences with period pq, where p and q are two distinct odd primes. These sequences derive from generalized cyclotomic classes of order two modulo pq. We investigate the generalized binary cyc
Autor:
S A Koltsova, V A Edemskiy
Publikováno v:
Journal of Physics: Conference Series. 2052:012009
In this paper, the symmetric 2-adic complexity of generalized cyclotomic sequences of order six with period equals a power of an odd prime is studied. The estimate of symmetric 2-adic complexity of these sequences is obtained. It is shown that above
Autor:
S A Koltsova, V A Edemskiy
Publikováno v:
Journal of Physics: Conference Series. 2052:012008
In this paper, we study the ternary generalized cyclotomic sequences with a period equal to a power of an odd prime. Ding-Helleseth’s generalized cyclotomic classes of order three are used for the definition of these sequences. We derive the symmet
Autor:
N. S. Sokolovskii, V. A. Edemskiy
Publikováno v:
Journal of Physics: Conference Series. 1658:012008
In this paper, we investigate the linear complexity and the minimal polynomial of cyclotomic binary sequences of order four over a finite field of odd characteristic. The sequences considered are determined on the basis of two cyclotomic classes of t
Autor:
V A Edemskiy, A B Minin
Publikováno v:
Journal of Physics: Conference Series. 1352:012013
In this paper, we study the linear complexity of series of binary sequences with optimal autocorrelation magnitude of length 4N. These sequences are obtained from almost-perfect binary sequences and binary sequences with optimal autocorrelation of le
Autor:
V A Edemskiy, A S Tsurina
Publikováno v:
Journal of Physics: Conference Series. 1352:012014
The trace representation of sequences is a powerful tool for the analysis and for the design of pseudorandom sequences. Z. Dai et al. (2011) reduce the problem of determining trace representation of series of binary eth power residue sequences to tha
Autor:
V. A. Edemskiy
Publikováno v:
Problems of Information Transmission. 44:287-294
We propose a computation method for linear complexity of ternary sequences formed on the basis of power residue classes. We find the linear complexity of ternary sequences formed on the basis of two classes of biquadratic residues and the linear comp
Autor:
V A Edemskiy
Publikováno v:
Journal of Physics: Conference Series; 2019, Vol. 1352 Issue 1, p1-1, 1p