85 citations · 165 across the 36 of their papers we have counts for
37 papers
Norm-One Torus Decompositions and Decoding of Gashkov-Sidel'nikov Codes
Minjia Shi, Shitao Li, Yuhong Xia +2
Let , let , and let \[\mathcal T=\{x\in K^*:\operatorname{N}_{K/\mathbb F_q}(x)=1\}.\] For both cyclic and constacyclic Gashkov-Sidel'nikov codes, we show…
Ternary Binomial and Trinomial Bent Functions in the Completed Maiorana-McFarland Class
Tor Helleseth, Alexander Kholosha, Niki Spithaki
Two classes of ternary bent functions of degree four with two and three terms in the univariate representation that belong to the completed Maiorana-McFarland class are found. Bino…
Determining the covering radius of all generalized Zetterberg codes in odd characteristic
Minjia Shi, Shitao Li, Tor Helleseth +1
For an integer , let be the generalized Zetterberg code of length over the finite field $\F_{q_0}$ of odd characteristic. Recently, Shi, Hell…
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_{…
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…
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…