39 citations
- Northwest Normal UniversityCN3 papers
- University of Chinese Academy of SciencesCN3 papers
- Austrian Academy of SciencesAT2 papers
- China University of Petroleum, East ChinaCN2 papers
- Fujian Normal UniversityCN2 papers
- International Centre for Theoretical Physics Asia-PacificCN2 papers
- Johann Radon Institute for Computational and Applied MathematicsAT2 papers
- Shanghai UniversityCN2 papers
- University of KentuckyUS2 papers
- Artificial Intelligence in Medicine (Canada)CA1 paper
- Beijing Institute of TechnologyCN1 paper
- Cairo UniversityEG1 paper
4 papers · 1 filter
Linear complexity and trace representation of quaternary sequences over based on generalized cyclotomic classes modulo
Zhixiong Chen
We define a family of quaternary sequences over the residue class ring modulo of length , a product of two distinct odd primes, using the generalized cyclotomic classes mod…
Linear complexity problems of level sequences of Euler quotients and their related binary sequences
Zhihua Niu, Zhixiong Chen, Xiaoni Du
The Euler quotient modulo an odd-prime power can be uniquely decomposed as a -adic number of the form $$ \frac{u^{(p-1)p^{r-1}} -1}{p^r}\equiv a_0(u)+a_1(u)p+\ldots+…
Polynomial quotients: Interpolation, value sets and Waring's problem
Zhixiong Chen, Arne Winterhof
For an odd prime and an integer , polynomial quotients are defined by $$ q_{p,w}(u)\equiv \frac{u^w-u^{wp}}{p} \bmod p ~~ \mathrm{with}~~ 0 \le q_{p,w}(u)…
Trace representation and linear complexity of binary sequences derived from Fermat quotients
Zhixiong Chen
We describe the trace representations of two families of binary sequences derived from Fermat quotients modulo an odd prime (one is the binary threshold sequences, the other is…