Vladimir Edemskiy

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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)
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.