Geodesic
On the linear complexity of generalized cyclotomic sequences with odd period
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 2, pp. 162-172

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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 with high linear complexity were obtained. The earlier results on the linear complexity of sequences with the period equal to the power of a prime were generalized.
Keywords: generalized cyclotomic sequences, linear complexity. 
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     author = {V. A. Edemskiy},
     title = {On the linear complexity of generalized cyclotomic sequences with odd period},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {162--172},
     publisher = {mathdoc},
     volume = {166},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2024_166_2_a2/}
}
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V. A. Edemskiy. On the linear complexity of generalized cyclotomic sequences with odd period. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 2, pp. 162-172. http://geodesic.mathdoc.fr/item/UZKU_2024_166_2_a2/