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- Vladimir Edemskiy, Olga Antonova
- Proceedings of the Fifth International Workshop…
- 2011

We propose a computation method for linear complexity of series of generalized cyclotomic sequences with period pq. This method is based on using the polynomial of the classical cyclotomic sequence, this allows to obtain well-known results and also new results. We found the linear complexity of Whiteman generalized cyclotomic sequences based on cyclotomic… (More)

- Vladimir Edemskiy
- Des. Codes Cryptography
- 2011

- Vladimir Edemskiy, Andrew Ivanov
- J. Computational Applied Mathematics
- 2014

Extended Abstract 1 Introduction.

- Vladimir Edemskiy, Andrey Ivanov
- Cryptography and Communications
- 2015

Tang et al. and Lim et al. presented ways to construct balanced quaternary sequences with even period and optimal autocorrelation value by inverse Gray-mapping of binary sequences with optimal autocorrelation value. In this article, we consider quaternary sequences constructed from binary Legendre or Hall’s sextic sequence by these methods. We derive the… (More)

- Vladimir Edemskiy, Andrew Ivanov
- 2013 IEEE International Symposium on Information…
- 2013

We examine the linear complexity and the autocorrelation of new quaternary cyclotomic sequences of period 2p. The sequences are constructed via the cyclotomic classes of order four.

- Vladimir Edemskiy, Olga Antonova
- Applicable Algebra in Engineering, Communication…
- 2014

We found the linear complexity of generalized cyclotomic sequences with period $$2p^n$$ 2 p n based on quadratic, biquadratic and partially sextic residues. Our method is based on the generating the polynomial of the classical cyclotomic sequences, which allows us to obtain some well-known results and also some new results.

- Vladimir Edemskiy, A. Palvinskiy
- Inf. Process. Lett.
- 2016

—In this article, we generalize results about binary sequences of length 2p m and evaluate the linear complexity and autocorrelation properties of generalized cyclotomic binary sequences of length 2 n p m. We show that in most cases these sequences have high linear complexity and poor autocorrelation performance.

- Vladimir Edemskiy
- Probl. Inf. Transm.
- 2008

- Zhixiong Chen, Vladimir Edemskiy
- I. J. Network Security
- 2017

We determine the exact values of the linear complexity of 2p-periodic quaternary sequences over Z 4 (the residue class ring modulo 4) defined from the generalized cyclotomic classes modulo 2p in terms of the theory of of Galois rings of characteristic 4, where p is an odd prime. Compared to the case of quaternary sequences over the finite field of order 4,… (More)