Vladimir Edemskiy

Learn More
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)
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.
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)
—In this article, we discuss a computation method for the linear complexity of generalized cyclotomic binary sequences of length 2 n p m. This method allows to assess the linear complexity of above-mentioned sequences and to design the sequences with high linear complexity. Also we generalize known results about binary sequences of length 2p m. In(More)