A new method to compute the 2-adic complexity of binary sequences

H Xiong, L Qu, C Li - IEEE Transactions on Information Theory, 2014 - ieeexplore.ieee.org
In this paper, a new method is presented to compute the 2-adic complexity of pseudo-
random sequences. With this method, the 2-adic complexities of all the known sequences …

On the 4-adic complexity of the two-prime quaternary generator

V Edemskiy, Z Chen - Journal of Applied Mathematics and Computing, 2022 - Springer
Abstract R. Hofer and A. Winterhof proved that the 2-adic complexity of the two-prime
(binary) generator of period pq with two odd primes p≠ q is close to its period and it can …

Comments on “A new method to compute the 2-adic complexity of binary sequences”

H Hu - IEEE Transactions on Information Theory, 2014 - ieeexplore.ieee.org
We show that there is a very simple approach to determine the 2-adic complexity of periodic
binary sequences with ideal two-level autocorrelation. This is the first main result by H …

[HTML][HTML] 2-Adic complexity of binary sequences with interleaved structure

H Xiong, L Qu, C Li - Finite Fields and Their Applications, 2015 - Elsevier
In this paper, 2-adic complexity of some binary sequences with interleaved structure is
investigated. Firstly, 2-adic complexity of low correlation zone (LCZ) sequences constructed …

On the -Adic Complexity and the -Error -Adic Complexity of Periodic Binary Sequences

H Hu, D Feng - IEEE transactions on information theory, 2008 - ieeexplore.ieee.org
A significant difference between the linear complexity and the 2-adic complexity of periodic
binary sequences is pointed out in this correspondence. Based on this observation, we …

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 …

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

V Edemskiy, C Wu - International Conference on Information Security and …, 2020 - Springer
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 …

The symmetric 2-adic complexity of sequences with optimal autocorrelation magnitude and length 8q

V Edemskiy, Y Sun - Cryptography and Communications, 2022 - Springer
This paper is devoted to studying the symmetric 2-adic complexity of sequences with optimal
autocorrelation magnitude and period 8 q, where q is a prime satisfying q≡ 5 (mod 8) …