Liu, Huaning; Liu, Xi On the correlation measures of orders \(3\) and \(4\) of binary sequence of period \(p^2\) derived from Fermat quotients. (English) Zbl 07709021 Adv. Math. Commun. 17, No. 3, 551-561 (2023). Reviewer: Arne Winterhof (Linz) MSC: 11K45 11B50 94A55 94A60 PDFBibTeX XMLCite \textit{H. Liu} and \textit{X. Liu}, Adv. Math. Commun. 17, No. 3, 551--561 (2023; Zbl 07709021) Full Text: DOI
Liu, Hua Ning; Liu, Xi Large families of pseudorandom binary sequences constructed by using Fermat quotients. (Chinese. English summary) Zbl 07821973 Acta Math. Sin., Chin. Ser. 65, No. 4, 665-678 (2022). MSC: 94A55 94A60 11K45 PDFBibTeX XMLCite \textit{H. N. Liu} and \textit{X. Liu}, Acta Math. Sin., Chin. Ser. 65, No. 4, 665--678 (2022; Zbl 07821973) Full Text: DOI
Alexandru, Victor; Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru Statistical distribution of Fermat quotients. (English) Zbl 1504.11008 Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022). MSC: 11A07 11L40 11D41 11N69 11N25 PDFBibTeX XMLCite \textit{V. Alexandru} et al., Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022; Zbl 1504.11008) Full Text: DOI
Wang, Lianhua; Du, Xiaoni Linear complexity of binary threshold sequences derived from generalized polynomial quotient with prime-power modulus. (English) Zbl 1465.11233 Int. J. Found. Comput. Sci. 31, No. 5, 569-581 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11T71 94A55 94A60 PDFBibTeX XMLCite \textit{L. Wang} and \textit{X. Du}, Int. J. Found. Comput. Sci. 31, No. 5, 569--581 (2020; Zbl 1465.11233) Full Text: DOI
Chen, Zhixiong; Edemskiy, Vladimir; Ke, Pinhui; Wu, Chenhuang On \(k\)-error linear complexity of pseudorandom binary sequences derived from Euler quotients. (English) Zbl 1402.94047 Adv. Math. Commun. 12, No. 4, 805-816 (2018). MSC: 94A55 94A60 65C10 PDFBibTeX XMLCite \textit{Z. Chen} et al., Adv. Math. Commun. 12, No. 4, 805--816 (2018; Zbl 1402.94047) Full Text: DOI arXiv
Du, Xiaoni; Wu, Chenhuang; Wei, Wanyin An extension of binary threshold sequences from Fermat quotients. (English) Zbl 1353.94027 Adv. Math. Commun. 10, No. 4, 743-752 (2016). MSC: 94A55 94A60 65C10 PDFBibTeX XMLCite \textit{X. Du} et al., Adv. Math. Commun. 10, No. 4, 743--752 (2016; Zbl 1353.94027) Full Text: DOI
Chen, Zhixiong; Niu, Zhihua; Wu, Chenhuang On the \(k\)-error linear complexity of binary sequences derived from polynomial quotients. (English) Zbl 1497.94067 Sci. China, Inf. Sci. 58, No. 9, Article ID 092107, 15 p. (2015). MSC: 94A55 PDFBibTeX XMLCite \textit{Z. Chen} et al., Sci. China, Inf. Sci. 58, No. 9, Article ID 092107, 15 p. (2015; Zbl 1497.94067) Full Text: DOI arXiv
Chen, Zhixiong; Du, Xiaoni; Marzouk, Radwa Trace representation of pseudorandom binary sequences derived from Euler quotients. (English) Zbl 1343.94032 Appl. Algebra Eng. Commun. Comput. 26, No. 6, 555-570 (2015). MSC: 94A55 94A60 65C10 11B68 PDFBibTeX XMLCite \textit{Z. Chen} et al., Appl. Algebra Eng. Commun. Comput. 26, No. 6, 555--570 (2015; Zbl 1343.94032) Full Text: DOI arXiv
Chen, Zhixiong; Winterhof, Arne Polynomial quotients: interpolation, value sets and Waring’s problem. (English) Zbl 1332.11090 Acta Arith. 170, No. 2, 121-134 (2015). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11P05 11T06 11T24 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{A. Winterhof}, Acta Arith. 170, No. 2, 121--134 (2015; Zbl 1332.11090) Full Text: DOI arXiv
Chen, Zhixiong Trace representation and linear complexity of binary sequences derived from Fermat quotients. (English) Zbl 1398.94085 Sci. China, Inf. Sci. 57, No. 11, Article ID 112109, 10 p. (2014). MSC: 94A55 94A60 PDFBibTeX XMLCite \textit{Z. Chen}, Sci. China, Inf. Sci. 57, No. 11, Article ID 112109, 10 p. (2014; Zbl 1398.94085) Full Text: DOI arXiv Link
Harvey, David; Shparlinski, Igor E. Statistics of different reduction types of Fermat curves. (English) Zbl 1368.11057 Exp. Math. 22, No. 3, 243-249 (2013). MSC: 11G20 11N25 11Y40 PDFBibTeX XMLCite \textit{D. Harvey} and \textit{I. E. Shparlinski}, Exp. Math. 22, No. 3, 243--249 (2013; Zbl 1368.11057) Full Text: DOI arXiv
Chen, Zhixiong; Du, Xiaoni On the linear complexity of binary threshold sequences derived from Fermat quotients. (English) Zbl 1296.94071 Des. Codes Cryptography 67, No. 3, 317-323 (2013). MSC: 94A55 94A60 11T71 65C10 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{X. Du}, Des. Codes Cryptography 67, No. 3, 317--323 (2013; Zbl 1296.94071) Full Text: DOI
Chen, Zhixiong; Winterhof, Arne Additive character sums of polynomial quotients. (English) Zbl 1306.11096 Lavrauw, Michel (ed.) et al., Theory and applications of finite fields. The 10th international conference on finite fields and their applications, Ghent, Belgium, July 11–15, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5298-9/pbk; 978-0-8218-9157-5/ebook). Contemporary Mathematics 579, 67-73 (2012). Reviewer: Sergey Stepanov (Moskva) MSC: 11T23 11A07 11L40 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{A. Winterhof}, Contemp. Math. 579, 67--73 (2012; Zbl 1306.11096) Full Text: DOI
Du, Xiaoni; Chen, Zhixiong; Hu, Lei Linear complexity of binary sequences derived from Euler quotients with prime-power modulus. (English) Zbl 1243.94026 Inf. Process. Lett. 112, No. 14-15, 604-609 (2012). MSC: 94A60 11B68 11K45 PDFBibTeX XMLCite \textit{X. Du} et al., Inf. Process. Lett. 112, No. 14--15, 604--609 (2012; Zbl 1243.94026) Full Text: DOI
Du, Xiaoni; Klapper, Andrew; Chen, Zhixiong Linear complexity of pseudorandom sequences generated by Fermat quotients and their generalizations. (English) Zbl 1242.94023 Inf. Process. Lett. 112, No. 6, 233-237 (2012). MSC: 94A60 11K45 11T71 PDFBibTeX XMLCite \textit{X. Du} et al., Inf. Process. Lett. 112, No. 6, 233--237 (2012; Zbl 1242.94023) Full Text: DOI
Shparlinski, Igor E. On the value set of Fermat quotients. (English) Zbl 1305.11003 Proc. Am. Math. Soc. 140, No. 4, 1199-1206 (2012). MSC: 11A07 11L07 PDFBibTeX XMLCite \textit{I. E. Shparlinski}, Proc. Am. Math. Soc. 140, No. 4, 1199--1206 (2012; Zbl 1305.11003) Full Text: DOI
Chen, Zhixiong; Winterhof, Arne On the distribution of pseudorandom numbers and vectors derived from Euler-Fermat quotients. (English) Zbl 1315.11070 Int. J. Number Theory 8, No. 3, 631-641 (2012). MSC: 11L40 11K45 65C10 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{A. Winterhof}, Int. J. Number Theory 8, No. 3, 631--641 (2012; Zbl 1315.11070) Full Text: DOI
Aly, Hassan; Winterhof, Arne Boolean functions derived from Fermat quotients. (English) Zbl 1235.06014 Cryptogr. Commun. 3, No. 3, 165-174 (2011). MSC: 06E30 94A60 PDFBibTeX XMLCite \textit{H. Aly} and \textit{A. Winterhof}, Cryptogr. Commun. 3, No. 3, 165--174 (2011; Zbl 1235.06014) Full Text: DOI