Symmetric 2-Adic Complexity of Ding-Helleseth Generalized Cyclotomic Sequences of Period pq

Vladimir Edemskiy,Chenhuang Wu

doi:10.1007/978-3-030-71852-7_21

Symmetric 2-Adic Complexity of Ding-Helleseth Generalized Cyclotomic Sequences of Period pq

Vladimir Edemskiy, Chenhuang Wu

https://doi.org/10.1007/978-3-030-71852-7_21

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Publication Date: Jan 1, 2021

Citations: 4

Affiliation: Yaroslav-the-Wise Novgorod State University, Putian University, University of Electronic Science and Technology of China

#Symmetric Complexity #2-adic Complexity + Show 5 more

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Abstract

In this paper, we consider Ding-Helleseth generalized cyclotomic sequences of length pq where p and q are odd distinct primes. We derive symmetric 2-adic complexity of these sequences for any p, q and show that they have high symmetric 2-adic complexity. These results generalize known conclusions of Yan et al. (IEEE Access, 2020, https://doi:10.1109/ACCESS.2020.3012570) about 2-adic complexity of Ding-Helleseth sequences of order 2 and of length pq.

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