Zhixiong Chen

collaborators

3 papers

math.NT2025

On the $N$ th $2$ -adic complexity of binary sequences identified with algebraic $2$ -adic integers

Zhixiong Chen, Arne Winterhof

We identify a binary sequence $S = (s_{n})_{n = 0}^{\infty}$ with the $2$ -adic integer $G_{S} (2) = n = 0 \sum \infty s_{n} 2^{n}$ . In the case that $G_{S} (2)$ is…

math.CO2025

Probabilistic results on the $2$ -adic complexity

Z. Chen, A. Winterhof

This work is devoted to solving some closely related open problems on the average and asymptotic behavior of the $2$ -adic complexity of binary sequences. First, for fixed $N$ , we p…

cs.IT2023

Maximum-order complexity and $2$ -adic complexity

Zhiru Chen, Zhixiong Chen, Jakob Obrovsky +1

The $2$ -adic complexity has been well-analyzed in the periodic case. However, we are not aware of any theoretical results on the $N$ th $2$ -adic complexity of any promising candidat…

On the Nth 2-adic complexity of binary sequences identified with algebraic 2-adic integers

Probabilistic results on the 2-adic complexity

Maximum-order complexity and 2-adic complexity

On the $N$ th $2$ -adic complexity of binary sequences identified with algebraic $2$ -adic integers

Probabilistic results on the $2$ -adic complexity

Maximum-order complexity and $2$ -adic complexity