Tu, Ziran; Zeng, Xiangyong; Mao, Jinxiu; Zhou, Junchao Several classes of complete permutation polynomials over finite fields of even characteristic. (English) Zbl 07312719 Finite Fields Appl. 68, Article ID 101737, 20 p. (2020). MSC: 05A05 11T06 11T55 PDF BibTeX XML Cite \textit{Z. Tu} et al., Finite Fields Appl. 68, Article ID 101737, 20 p. (2020; Zbl 07312719) Full Text: DOI
Xu, Xiaofang; Feng, Xiutao; Zeng, Xiangyong Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\). (English) Zbl 1412.11138 Finite Fields Appl. 57, 309-343 (2019). MSC: 11T06 PDF BibTeX XML Cite \textit{X. Xu} et al., Finite Fields Appl. 57, 309--343 (2019; Zbl 1412.11138) Full Text: DOI
Feng, Xiutao; Lin, Dongdai; Wang, Liping; Wang, Qiang Further results on complete permutation monomials over finite fields. (English) Zbl 07067778 Finite Fields Appl. 57, 47-59 (2019). MSC: 11T06 05A05 11T55 PDF BibTeX XML Cite \textit{X. Feng} et al., Finite Fields Appl. 57, 47--59 (2019; Zbl 07067778) Full Text: DOI arXiv
Li, Lisha; Li, Chaoyun; Li, Chunlei; Zeng, Xiangyong New classes of complete permutation polynomials. (English) Zbl 1401.05016 Finite Fields Appl. 55, 177-201 (2019). MSC: 05A05 11T06 11T55 PDF BibTeX XML Cite \textit{L. Li} et al., Finite Fields Appl. 55, 177--201 (2019; Zbl 1401.05016) Full Text: DOI
Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor Constructions of complete permutation polynomials. (English) Zbl 1398.05012 Des. Codes Cryptography 86, No. 12, 2869-2892 (2018). MSC: 05A05 11T06 11T55 PDF BibTeX XML Cite \textit{X. Xu} et al., Des. Codes Cryptography 86, No. 12, 2869--2892 (2018; Zbl 1398.05012) Full Text: DOI
Ma, Ning; Peng, Guohua On Chowla’s theorem over finite commutative rings. (Chinese. English summary) Zbl 1413.13022 J. Sichuan Norm. Univ., Nat. Sci. 41, No. 3, 296-298 (2018). MSC: 13M10 PDF BibTeX XML Cite \textit{N. Ma} and \textit{G. Peng}, J. Sichuan Norm. Univ., Nat. Sci. 41, No. 3, 296--298 (2018; Zbl 1413.13022) Full Text: DOI
Bartoli, D.; Giulietti, M.; Quoos, L.; Zini, G. Complete permutation polynomials from exceptional polynomials. (English) Zbl 1364.11150 J. Number Theory 176, 46-66 (2017). Reviewer: Moisés Delgado (San Juan) MSC: 11T06 11T55 PDF BibTeX XML Cite \textit{D. Bartoli} et al., J. Number Theory 176, 46--66 (2017; Zbl 1364.11150) Full Text: DOI
Biers-Ariel, Yonah; Zhang, Yiguang; Godbole, Anant Some results on superpatterns for preferential arrangements. (English) Zbl 1352.05184 Adv. Appl. Math. 81, 202-211 (2016). MSC: 05D99 05D40 05A05 PDF BibTeX XML Cite \textit{Y. Biers-Ariel} et al., Adv. Appl. Math. 81, 202--211 (2016; Zbl 1352.05184) Full Text: DOI arXiv
Bassalygo, L. A.; Zinoviev, V. A. Permutation and complete permutation polynomials. (English) Zbl 1368.11126 Finite Fields Appl. 33, 198-211 (2015). MSC: 11T06 11T71 12Y05 PDF BibTeX XML Cite \textit{L. A. Bassalygo} and \textit{V. A. Zinoviev}, Finite Fields Appl. 33, 198--211 (2015; Zbl 1368.11126) Full Text: DOI
Marcos, José E. Some permutation polynomials over finite fields. (English) Zbl 1400.11157 Appl. Algebra Eng. Commun. Comput. 26, No. 5, 465-474 (2015). MSC: 11T06 12E10 PDF BibTeX XML Cite \textit{J. E. Marcos}, Appl. Algebra Eng. Commun. Comput. 26, No. 5, 465--474 (2015; Zbl 1400.11157) Full Text: DOI
Wu, Baofeng; Lin, Dongdai On constructing complete permutation polynomials over finite fields of even characteristic. (English) Zbl 1311.05009 Discrete Appl. Math. 184, 213-222 (2015). MSC: 11T06 PDF BibTeX XML Cite \textit{B. Wu} and \textit{D. Lin}, Discrete Appl. Math. 184, 213--222 (2015; Zbl 1311.05009) Full Text: DOI arXiv
Xu, Guangkui; Cao, Xiwang Complete permutation polynomials over finite fields of odd characteristic. (English) Zbl 1320.11121 Finite Fields Appl. 31, 228-240 (2015). MSC: 11T06 PDF BibTeX XML Cite \textit{G. Xu} and \textit{X. Cao}, Finite Fields Appl. 31, 228--240 (2015; Zbl 1320.11121) Full Text: DOI
Kirkman, E.; Kuzmanovich, J.; Zhang, J. J. Invariants of \((-1)\)-skew polynomial rings under permutation representations. (English) Zbl 1335.16030 Achar, Pramod N. (ed.) et al., Recent advances in representation theory, quantum groups, algebraic geometry, and related topics. AMS special sessions on “Geometric and algebraic aspects of representation theory and quantum groups” and “Noncommutative algebraic geometry”, Tulane University, New Orleans, LA, USA, October 13–14, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9852-9/pbk; 978-1-4704-1929-5/ebook). Contemporary Mathematics 623, 155-192 (2014). MSC: 16W22 16E65 16S36 16S38 PDF BibTeX XML Cite \textit{E. Kirkman} et al., Contemp. Math. 623, 155--192 (2014; Zbl 1335.16030)
Winterhof, Arne Generalizations of complete mappings of finite fields and some applications. (English) Zbl 1332.11107 J. Symb. Comput. 64, 42-52 (2014). MSC: 11T06 68P25 94A60 PDF BibTeX XML Cite \textit{A. Winterhof}, J. Symb. Comput. 64, 42--52 (2014; Zbl 1332.11107) Full Text: DOI
Tu, Ziran; Zeng, Xiangyong; Hu, Lei Several classes of complete permutation polynomials. (English) Zbl 1284.05012 Finite Fields Appl. 25, 182-193 (2014). MSC: 11T06 PDF BibTeX XML Cite \textit{Z. Tu} et al., Finite Fields Appl. 25, 182--193 (2014; Zbl 1284.05012) Full Text: DOI
Kyureghyan, Gohar M. Constructing permutations of finite fields via linear translators. (English) Zbl 1241.11136 J. Comb. Theory, Ser. A 118, No. 3, 1052-1061 (2011). MSC: 11T06 51E21 PDF BibTeX XML Cite \textit{G. M. Kyureghyan}, J. Comb. Theory, Ser. A 118, No. 3, 1052--1061 (2011; Zbl 1241.11136) Full Text: DOI arXiv
Marcos, José E. Specific permutation polynomials over finite fields. (English) Zbl 1261.11080 Finite Fields Appl. 17, No. 2, 105-112 (2011). MSC: 11T06 PDF BibTeX XML Cite \textit{J. E. Marcos}, Finite Fields Appl. 17, No. 2, 105--112 (2011; Zbl 1261.11080) Full Text: DOI
Ekim, Tınaz; Heggernes, Pinar; Meister, Daniel Polar permutation graphs. (English) Zbl 1267.05215 Fiala, Jiří (ed.) et al., Combinatorial algorithms. 20th international workshop, IWOCA 2009, Hradec nad Moravicí, Czech Republic, June 28–July 2, 2009. Revised selected papers. Berlin: Springer (ISBN 978-3-642-10216-5/pbk). Lecture Notes in Computer Science 5874, 218-229 (2009). MSC: 05C75 05C25 05C50 05C85 PDF BibTeX XML Cite \textit{T. Ekim} et al., Lect. Notes Comput. Sci. 5874, 218--229 (2009; Zbl 1267.05215) Full Text: DOI
Heggernes, Pinar; Kratsch, Dieter; Meister, Daniel Bandwidth of bipartite permutation graphs in polynomial time. (English) Zbl 1209.05242 J. Discrete Algorithms 7, No. 4, 533-544 (2009). MSC: 05C85 05C62 PDF BibTeX XML Cite \textit{P. Heggernes} et al., J. Discrete Algorithms 7, No. 4, 533--544 (2009; Zbl 1209.05242) Full Text: DOI
Sun, Qi; Zhang, Qifan A simple proof of a conjecture about complete mapping over finite fields. (Chinese. English summary) Zbl 1007.11075 J. Sichuan Univ., Nat. Sci. Ed. 35, No. 6, 840-842 (1998). MSC: 11T06 12E20 PDF BibTeX XML Cite \textit{Q. Sun} and \textit{Q. Zhang}, J. Sichuan Univ., Nat. Sci. Ed. 35, No. 6, 840--842 (1998; Zbl 1007.11075)
Luks, Eugene M. Permutation groups and polynomial-time computation. (English) Zbl 0813.20004 Finkelstein, Larry (ed.) et al., Groups and computation. Papers from the workshop held at DIMACS, Rutgers University, New Brunswick, NJ (USA), October 7-10, 1991. Providence, RI: American Mathematical Society. DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 11, 139-175 (1993). Reviewer: P.Lakatos (Debrecen) MSC: 20B40 68Q25 68Q15 PDF BibTeX XML Cite \textit{E. M. Luks}, DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 11, 139--175 (1993; Zbl 0813.20004)
Chou, Wun-Seng Set-complete mappings on finite fields. (English) Zbl 0792.11048 Mullen, Gary L. (ed.) et al., Finite fields, coding theory, and advances in communications and computing. Proceedings of the international conference on finite fields, coding theory, and advances in communications and computing, held at the University of Nevada, Las Vegas, USA, August 7-10, 1991. New York: Marcel Dekker, Inc. Lect. Notes Pure Appl. Math. 141, 33-41 (1993). Reviewer: R.Mollin (Calgary) MSC: 11T06 12E10 PDF BibTeX XML Cite \textit{W.-S. Chou}, Lect. Notes Pure Appl. Math. 141, 33--41 (1993; Zbl 0792.11048)
Sen, Arunabha; Deng, Haiyong; Guha, Sumanta On a graph partition problem with application to VLSI layout. (English) Zbl 0764.68132 Inf. Process. Lett. 43, No. 2, 87-94 (1992). MSC: 68R10 05C15 94C15 90C10 94C99 68R05 PDF BibTeX XML Cite \textit{A. Sen} et al., Inf. Process. Lett. 43, No. 2, 87--94 (1992; Zbl 0764.68132) Full Text: DOI
Suchower, Stephan J. Subfield permutation polynomials and orthogonal subfield systems in finite fields. (English) Zbl 0703.11073 Acta Arith. 54, No. 4, 307-315 (1990). Reviewer: G.L.Mullen MSC: 11T06 05B15 PDF BibTeX XML Cite \textit{S. J. Suchower}, Acta Arith. 54, No. 4, 307--315 (1990; Zbl 0703.11073) Full Text: DOI EuDML
Blaha, Kenneth D. Finding a minimum base for permutation groups is NP-hard. (English) Zbl 0709.20005 Combinatorics, graph theory, and computing, Proc. 18th Southeast. Conf., Boca Raton/Fl. 1987, Congr. Numerantium 58, 141-150 (1987). MSC: 20B40 68Q25 20F05 PDF BibTeX XML
Brandstädt, Andreas; Kratsch, Dieter On domination problems for permutation and other graphs. (English) Zbl 0641.68100 Theor. Comput. Sci. 54, 181-198 (1987). Reviewer: G.Slutzki MSC: 68R10 68Q25 PDF BibTeX XML Cite \textit{A. Brandstädt} and \textit{D. Kratsch}, Theor. Comput. Sci. 54, 181--198 (1987; Zbl 0641.68100) Full Text: DOI
Mullen, Gary L.; Niederreiter, Harald Dickson polynomials over finite fields and complete mappings. (English) Zbl 0576.12020 Can. Math. Bull. 30, No. 1-3, 19-27 (1987). MSC: 11T06 05A05 PDF BibTeX XML Cite \textit{G. L. Mullen} and \textit{H. Niederreiter}, Can. Math. Bull. 30, No. 1--3, 19--27 (1987; Zbl 0576.12020) Full Text: DOI
Wan, Daqing On a problem of Niederreiter and Robinson about finite fields. (English) Zbl 0607.12009 J. Aust. Math. Soc., Ser. A 41, 336-338 (1986). Reviewer: H.Niederreiter MSC: 11T06 PDF BibTeX XML Cite \textit{D. Wan}, J. Aust. Math. Soc., Ser. A 41, 336--338 (1986; Zbl 0607.12009)