Wang, Xiaoqiang; Zheng, Dabin; Hu, Lei Several classes of PcN power functions over finite fields. (English) Zbl 1498.94084 Discrete Appl. Math. 322, 171-182 (2022). MSC: 94A60 11T71 12E20 PDFBibTeX XMLCite \textit{X. Wang} et al., Discrete Appl. Math. 322, 171--182 (2022; Zbl 1498.94084) Full Text: DOI
Zha, Zhengbang; Hu, Lei; Zhang, Zhizheng Permutation polynomials of the form \(x + \gamma \mathrm{Tr}_q^{q^n}(h(x))\). (English) Zbl 1427.11140 Finite Fields Appl. 60, Article ID 101573, 16 p. (2019). MSC: 11T06 PDFBibTeX XMLCite \textit{Z. Zha} et al., Finite Fields Appl. 60, Article ID 101573, 16 p. (2019; Zbl 1427.11140) Full Text: DOI
Zha, Zhengbang; Hu, Lei; Zhang, Zhizheng New results on permutation polynomials of the form \((x^{{p}^{m}} - x + \delta)^s + x^{p^m} + x\) over \(\mathbb F_{p^{2m}}\). (English) Zbl 1387.05004 Cryptogr. Commun. 10, No. 3, 567-578 (2018). MSC: 05A05 11T06 11T55 PDFBibTeX XMLCite \textit{Z. Zha} et al., Cryptogr. Commun. 10, No. 3, 567--578 (2018; Zbl 1387.05004) Full Text: DOI
Zha, Zhengbang; Hu, Lei; Fan, Shuqin Further results on permutation trinomials over finite fields with even characteristic. (English) Zbl 1362.05006 Finite Fields Appl. 45, 43-52 (2017). MSC: 11T06 PDFBibTeX XMLCite \textit{Z. Zha} et al., Finite Fields Appl. 45, 43--52 (2017; Zbl 1362.05006) Full Text: DOI
Zha, Zhengbang; Hu, Lei Some classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\). (English) Zbl 1336.05005 Finite Fields Appl. 40, 150-162 (2016). MSC: 11T06 PDFBibTeX XMLCite \textit{Z. Zha} and \textit{L. Hu}, Finite Fields Appl. 40, 150--162 (2016; Zbl 1336.05005) Full Text: DOI
Cao, Xiwang; Hu, Lei Two Boolean functions with five-valued Walsh spectra and high nonlinearity. (English) Zbl 1333.94033 Int. J. Found. Comput. Sci. 26, No. 5, 537-556 (2015). MSC: 94A60 11T23 PDFBibTeX XMLCite \textit{X. Cao} and \textit{L. Hu}, Int. J. Found. Comput. Sci. 26, No. 5, 537--556 (2015; Zbl 1333.94033) Full Text: DOI arXiv
Zha, Zhengbang; Hu, Lei; Cao, Xiwang Constructing permutations and complete permutations over finite fields via subfield-valued polynomials. (English) Zbl 1320.11123 Finite Fields Appl. 31, 162-177 (2015). MSC: 11T06 PDFBibTeX XMLCite \textit{Z. Zha} et al., Finite Fields Appl. 31, 162--177 (2015; Zbl 1320.11123) Full Text: DOI
Zha, Zhengbang; Hu, Lei; Sun, Siwei; Sun, Yao New constructions of APN polynomial functions in odd characteristic. (English) Zbl 1342.11093 Appl. Algebra Eng. Commun. Comput. 25, No. 4, 249-263 (2014). MSC: 11T06 12E10 94A60 PDFBibTeX XMLCite \textit{Z. Zha} et al., Appl. Algebra Eng. Commun. Comput. 25, No. 4, 249--263 (2014; Zbl 1342.11093) Full Text: DOI
Cao, Xiwang; Hu, Lei; Zha, Zhengbang Constructing permutation polynomials from piecewise permutations. (English) Zbl 1288.11109 Finite Fields Appl. 26, 162-174 (2014). MSC: 11T06 11T71 PDFBibTeX XMLCite \textit{X. Cao} et al., Finite Fields Appl. 26, 162--174 (2014; Zbl 1288.11109) Full Text: DOI
Zha, Zhengbang; Hu, Lei Constructing new APN functions from known PN functions. (English) Zbl 1376.11083 Int. J. Found. Comput. Sci. 24, No. 8, 1209-1219 (2013). MSC: 11T06 PDFBibTeX XMLCite \textit{Z. Zha} and \textit{L. Hu}, Int. J. Found. Comput. Sci. 24, No. 8, 1209--1219 (2013; Zbl 1376.11083) Full Text: DOI
Zha, Zhengbang; Hu, Lei Two classes of permutation polynomials over finite fields. (English) Zbl 1288.11111 Finite Fields Appl. 18, No. 4, 781-790 (2012). MSC: 11T06 PDFBibTeX XMLCite \textit{Z. Zha} and \textit{L. Hu}, Finite Fields Appl. 18, No. 4, 781--790 (2012; Zbl 1288.11111) Full Text: DOI
Cao, Xiwang; Hu, Lei On the reducibility of some composite polynomials over finite fields. (English) Zbl 1245.11115 Des. Codes Cryptography 64, No. 3, 229-239 (2012). MSC: 11T06 PDFBibTeX XMLCite \textit{X. Cao} and \textit{L. Hu}, Des. Codes Cryptography 64, No. 3, 229--239 (2012; Zbl 1245.11115) Full Text: DOI
Cao, Xiwang; Hu, Lei New methods for generating permutation polynomials over finite fields. (English) Zbl 1245.11114 Finite Fields Appl. 17, No. 6, 493-503 (2011). MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{X. Cao} and \textit{L. Hu}, Finite Fields Appl. 17, No. 6, 493--503 (2011; Zbl 1245.11114) Full Text: DOI
Xia, Yongbo; Zeng, Xiangyong; Hu, Lei The large set of \(p\)-ary Kasami sequences. (English) Zbl 1304.11137 Int. J. Comput. Math. 87, No. 7, 1436-1455 (2010). MSC: 11T71 11T23 12Y05 94A55 94B15 PDFBibTeX XMLCite \textit{Y. Xia} et al., Int. J. Comput. Math. 87, No. 7, 1436--1455 (2010; Zbl 1304.11137) Full Text: DOI
Zeng, Xiangyong; Zhu, Xishun; Hu, Lei Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\). (English) Zbl 1215.11116 Appl. Algebra Eng. Commun. Comput. 21, No. 2, 145-150 (2010). MSC: 11T06 PDFBibTeX XMLCite \textit{X. Zeng} et al., Appl. Algebra Eng. Commun. Comput. 21, No. 2, 145--150 (2010; Zbl 1215.11116) Full Text: DOI
Li, Shenghua; Hu, Lei; Zeng, Xiangyong Constructions of \(p\)-ary quadratic bent functions. (English) Zbl 1134.06012 Acta Appl. Math. 100, No. 3, 227-245 (2008). Reviewer: Steven T. Dougherty (Scranton) MSC: 06E30 94B27 94A60 PDFBibTeX XMLCite \textit{S. Li} et al., Acta Appl. Math. 100, No. 3, 227--245 (2008; Zbl 1134.06012) Full Text: DOI