3 papers
cs.CR2024
Further Investigation on Differential Properties of the Generalized Ness-Helleseth Function
Yongbo Xia, Chunlei Li, Furong Bao +2
Let be an odd positive integer, be a prime with , and . The function defined by $f_u(x)=ux^{d_{1}}+x^{d_{…
cs.CR2024
An updated review on cross-correlation of m-sequences
Tor Helleseth, Chunlei Li
Maximum-length sequences (m-sequences for short) over finite fields are generated by linear feedback shift registers with primitive characteristic polynomials. These sequences have…
cs.IT2024
Further Investigations on Nonlinear Complexity of Periodic Binary Sequences
Qin Yuan, Chunlei Li, Xiangyong Zeng +2
Nonlinear complexity is an important measure for assessing the randomness of sequences. In this paper we investigate how circular shifts affect the nonlinear complexities of finite…