4-adic complexity of quaternary cyclotomic sequences and Ding-Helleseth sequences with period pq

V Edemskiy, C Wu - 2022 IEEE International Symposium on …, 2022 - ieeexplore.ieee.org
In this paper, we consider two kinds of quaternary sequences, ie, quaternary classical
cyclotomic sequences with period q where q is an odd prime, and quaternary Ding …

On the symmetric 2-adic complexity of periodic binary sequences

Z Xiao, X Zeng, M Ke - Advances in Mathematics of …, 2024 - aimsciences.org
Symmetric 2-adic complexity is a better measure for assessing the strength of a periodic
binary sequence against the rational approximation attack. We study the symmetric 2-adic …

Symmetric 2-adic complexity of Tang–Gong interleaved sequences from generalized GMW sequence pair

B Yang, K He, X Zeng, Z Xiao - Designs, Codes and Cryptography, 2024 - Springer
Tang–Gong interleaved sequences constructed from the generalized GMW sequence pair
are a class of binary sequences with optimal autocorrelation magnitude. In this paper, the …

3-adic complexity of ternary sequences with period pq

V Edemskiy, C Wu, S Koltsova… - 2022 10th International …, 2022 - ieeexplore.ieee.org
We study the 3-adic complexity of ternary sequences with period equal to the product of two
different primes p and q. These sequences are constructed from two ternary Legendre …

О 4-адической сложности семейства четвертичных последовательностей

ВА Едемский, НС Соколовский - Актуальные проблемы прикладной …, 2022 - elibrary.ru
Предлагается метод исследования 4-адической сложности ряда четвертичных
последовательностей с оптимальной нечетной периодической автокорреляционной …