Zibi Xiao

activity

20182021

most citedCorrigendum to New Generalized Cyclotomic Binary Sequences of Period

p^{2}

23 citations · 28 across the 4 of their papers we have counts for

collaborators

4 papers

cs.IT2021★ 5 cited

Binary sequences with length n and nonlinear complexity not less than n/2

Sicheng Liang, Xiangyong Zeng, Zibi Xiao +1

In this paper, the construction of finite-length binary sequences whose nonlinear complexity is not less than half of the length is investigated. By characterizing the structure of…

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★ 23 cited

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 with length n and nonlinear complexity not less than n/2

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 $p^{2}$