Effinger, Gove; Mullen, Gary L. Two extended Euler functions with applications to Latin squares and bases of finite field extensions. (English) Zbl 1473.11006 Bull. Inst. Comb. Appl. 85, 92-111 (2019). MSC: 11A25 11T55 12E20 05B15 PDFBibTeX XMLCite \textit{G. Effinger} and \textit{G. L. Mullen}, Bull. Inst. Comb. Appl. 85, 92--111 (2019; Zbl 1473.11006) Full Text: Link
Huczynska, Sophie; Mullen, Gary L.; Panario, Daniel; Thomson, David Existence and properties of \(k\)-normal elements over finite fields. (English) Zbl 1305.11108 Finite Fields Appl. 24, 170-183 (2013). MSC: 11T30 11T06 12E20 PDFBibTeX XMLCite \textit{S. Huczynska} et al., Finite Fields Appl. 24, 170--183 (2013; Zbl 1305.11108) Full Text: DOI
Mullen, Gary L. (ed.); Panario, Daniel (ed.) [Ball, L. Simeon; Blake, Ian; Blokhuis, Aart; Cioaba, Sebastian M.; Colbourn, Charles J.; Ding, Jintai; Dinitz, Jeffrey H.; Dumas, Jean-Guillaume; Ebert, Gary; Effinger, Gove; Enge, Andreas; Fan, Haining; Gong, Guang; Goss, David; Gupta, Kishan Chand; Hasan, M. Anwarul; Hinkelmann, Franziska; Hirschfeld, James W. P.; Huffman, W. Cary; Jedwab, Jonathan; Jungnickel, Dieter; Laubenbacher, Reinhard; Litsyn, Simon; Menezes, Alfred; Mullen, Gary L.; Murty, Kumar; Murty, M. Ram; Niederreiter, Harald; Pernet, Clément; Pott, Alexander; Roetteler, Martin; Schmidt, Kai-Uwe; Stevens, Brett; Storme, Leo; Takeshita, Oscar; Thas, Joseph A.; Thériault, Nicolas; Wan, Zhe-Xian; Winterhof, Arne; Gow, Roderick; Panario, Daniel; Thomson, David; Yucas, Joseph L.; Kyuregyan, Melsik; Ahmadi, Omran; Cohen, Stephen D.; Hou, Xiang-dong; Voloch, Jose Felipe; Gao, Shuhong; Liao, Qunying; Hachenberger, Dirk; Evans, Ronald J.; Rojas-Leon, Antonio; Ostafe, Alina; Garaev, Moubariz Z.; Fitzgerald, Robert; Castro, Francis; Rubio, Ivelisse; Lidl, Rudolf; Zieve, Michael E.; Carlet, Claude; Charpin, Pascale; Kholosha, Alexander; Coulter, Robert; Wang, Qiang; Fried, Michael D.; McGuire, Gary; Helleseth, Tor; Meidl, Wilfried; Shparlinski, Igor; Doche, Christophe; Giesbrecht, Mark; von zur Gathen, Joachim; Kaltofen, Erich; Lecerf, Gregoire; Odlyzko, Andrew; de Smit, Bart; Lenstra, Hendrik; Silverman, Joseph; Bernstein, Daniel J.; Lange, Tanja; Jacobson, Michael John jun.; Scheidler, Renate; Garcia, Arnaldo; Stichtenoth, Henning; Fu, Lei; Blache, Regis; Wan, Daqing] Handbook of finite fields. (English) Zbl 1319.11001 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4398-7378-6/hbk; 978-1-4398-7382-3/ebook). xxxv, 1033 p. (2013). Reviewer: Olaf Ninnemann (Berlin) MSC: 11-00 11Txx 12E20 05B20 05C50 11G20 14G15 94A55 94A60 PDFBibTeX XMLCite \textit{G. L. Mullen} (ed.) and \textit{D. Panario} (ed.), Handbook of finite fields. Boca Raton, FL: CRC Press (2013; Zbl 1319.11001) Full Text: DOI
Mullin, Ronald C.; Yucas, Joseph L.; Mullen, Gary L. A generalized counting and factoring method for polynomials over finite fields. (English) Zbl 1211.11135 J. Comb. Math. Comb. Comput. 72, 121-143 (2010). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 11T06 05A15 12E20 PDFBibTeX XMLCite \textit{R. C. Mullin} et al., J. Comb. Math. Comb. Comput. 72, 121--143 (2010; Zbl 1211.11135)
Rubio, Ivelisse M.; Mullen, Gary L.; Corrada, Carlos; Castro, Francis N. Dickson permutation polynomials that decompose in cycles of the same length. (English) Zbl 1236.11106 Mullen, Gary L. (ed.) et al., Finite fields and applications. Proceedings of the eighth international conference on finite fields and applications, Melbourne, Australia, July 9–13, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4309-3/pbk). Contemporary Mathematics 461, 229-239 (2008). MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{I. M. Rubio} et al., Contemp. Math. 461, 229--239 (2008; Zbl 1236.11106)
Mullen, Gary L. Permutation polynomials. 2nd ed. (English) Zbl 1221.11232 Colbourn, Charles J. (ed.) et al., The CRC handbook of combinatorial designs. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-506-8/hbk). Discrete Mathematics and its Applications, 572-574 (2007). MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{G. L. Mullen}, in: The CRC handbook of combinatorial designs. Boca Raton, FL: Chapman \& Hall/CRC. 572--574 (2007; Zbl 1221.11232)
Cohen, Stephen D.; Mullen, Gary L.; Shiue, Peter Jau-Shyong The difference between permutation polynomials over finite fields. (English) Zbl 0827.11074 Proc. Am. Math. Soc. 123, No. 7, 2011-2015 (1995). Reviewer: R.Mollin (Calgary) MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{S. D. Cohen} et al., Proc. Am. Math. Soc. 123, No. 7, 2011--2015 (1995; Zbl 0827.11074) Full Text: DOI
Gao, Shuhong; Mullen, Gary L. Dickson polynomials and irreducible polynomials over finite fields. (English) Zbl 0810.11070 J. Number Theory 49, No. 1, 118-132 (1994). Reviewer: I.F.Blake (Waterloo / Ontario) MSC: 11T06 12E10 11T30 PDFBibTeX XMLCite \textit{S. Gao} and \textit{G. L. Mullen}, J. Number Theory 49, No. 1, 118--132 (1994; Zbl 0810.11070) Full Text: DOI
Lidl, R.; Mullen, G. L.; Turnwald, G. Dickson polynomials. (English) Zbl 0823.11070 Pitman Monographs and Surveys in Pure and Applied Mathematics. 65. Harlow: Longman Scientific & Technical. New York, NY: John Wiley & Sons, Inc.. 207 p. (1993). Reviewer: R.Mollin (Calgary) MSC: 11T06 12E05 11-02 13B25 11Txx PDFBibTeX XMLCite \textit{R. Lidl} et al., Dickson polynomials. Harlow: Longman Scientific \& Technical; New York, NY: John Wiley \& Sons, Inc. (1993; Zbl 0823.11070)
Mullen, Gary L. Dickson polynomials over finite fields. (English) Zbl 0739.11057 Adv. Math., Beijing 20, No. 1, 24-32 (1991). Reviewer: K.S.Williams (Ottawa) MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{G. L. Mullen}, Adv. Math., Beijing 20, No. 1, 24--32 (1991; Zbl 0739.11057)
Lidl, Rudolf; Mullen, Gary L. When does a polynomial over a finite field permute the elements of the field? (English) Zbl 0653.12010 Am. Math. Mon. 95, No. 3, 243-246 (1988). Reviewer: J.Knopfmacher MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{R. Lidl} and \textit{G. L. Mullen}, Am. Math. Mon. 95, No. 3, 243--246 (1988; Zbl 0653.12010) Full Text: DOI