Zibi Xiao

activity

20182021

collaborators

3 papers

math.NT2021

Binary Sequences Derived from Differences of Consecutive Primitive Roots

Arne Winterhof, Zibi Xiao

Let $1 < g_{1} < \dots < g_{φ (p - 1)} < p - 1$ be the ordered primitive roots modulo~ $p$ . We study the pseudorandomness of the binary sequence $(s_{n})$ defined by $s_n\equiv g_{n+1}+g_{n+2}\bmod…

math.NT2020

Binary sequences derived from differences of consecutive quadratic residues

Arne Winterhof, Zibi Xiao

For a prime $p \geq 5$ let $q_{0}, q_{1}, \dots, q_{(p - 3) /2}$ be the quadratic residues modulo $p$ in increasing order. We study two $(p - 3) /2$ -periodic binary sequences $(d_{n})$ and $(t_{n})$ …

cs.DM2018

Corrigendum to New Generalized Cyclotomic Binary Sequences of Period $p^{2}$

Zibi Xiao, Xiangyong Zeng, Chunlei Li +1

New generalized cyclotomic binary sequences of period $p^{2}$ are proposed in this paper, where $p$ is an odd prime. The sequences are almost balanced and their linear complexity is…

Binary Sequences Derived from Differences of Consecutive Primitive Roots

Binary sequences derived from differences of consecutive quadratic residues

Corrigendum to New Generalized Cyclotomic Binary Sequences of Period p2

Corrigendum to New Generalized Cyclotomic Binary Sequences of Period $p^{2}$