Estimate of Symmetric 2-adic Complexity of Ding - Helleseth Generalized Cyclotomic Sequences of Order Four With Period pⁿ

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Abstract: In this paper, the symmetric 2-adic complexity of Ding-Helleseth generalized cyclotomic sequences of order four with period equal to a power of an odd prime is studied. The estimate of symmetric 2-adic complexity of these sequences is obtained. It is shown that above sequences have large symmetric 2-adic complexity.

International Journal of Applied Mathematics, Computational Science and Systems Engineering, E-ISSN: 2766-9823, Volume 3, 2021, Art. #5

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Vladimir Edemskiy, Oleg Churkin, "Estimate of Symmetric 2-adic Complexity of Ding - Helleseth Generalized Cyclotomic Sequences of Order Four With Period pⁿ," International Journal of Applied Mathematics, Computational Science and Systems Engineering, vol. 3, pp. 26-29, 2021, DOI:
Vladimir Edemskiy, Oleg Churkin. Estimate of Symmetric 2-adic Complexity of Ding - Helleseth Generalized Cyclotomic Sequences of Order Four With Period pⁿ. International Journal of Applied Mathematics, Computational Science and Systems Engineering. 2021;3:26-29.
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