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.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
WSEAS Transactions on
International Journal of Applied Mathematics, Computational Science and Systems Engineering, E-ISSN: 2766-9823, Volume 3, 2021, Art. #5
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.