Linear complexity of generalized cyclotomic sequences with period~$2^mp^n$
Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 5-12

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A method for analyzing the linear complexity of generalized cyclotomic sequences with period $2^mp^n$ is proposed. It allows to pick out sequences with the high linear complexity. The linear complexity of some sequences is computed on the base of classes of quadratic and biquadratic residues.
Keywords: generalized cyclotomic sequences, linear complexity.
@article{PDM_2012_3_a0,
     author = {V. A. Edemskiy and O. V. Antonova},
     title = {Linear complexity of generalized cyclotomic sequences with period~$2^mp^n$},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {5--12},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2012_3_a0/}
}
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V. A. Edemskiy; O. V. Antonova. Linear complexity of generalized cyclotomic sequences with period~$2^mp^n$. Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 5-12. http://geodesic.mathdoc.fr/item/PDM_2012_3_a0/