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). Summary: In this paper, a construction of complete permutation polynomials over finite fields of even characteristic proposed by Z. Tu et al. [Finite Fields Appl. 25, 182–193 (2014; Zbl 1284.05012)] recently is generalized in a recursive manner. Besides, several classes of complete permutation polynomials are derived by computing compositional inverses of known ones. Cited in 12 Documents MSC: 11T06 Polynomials over finite fields Keywords:complete permutation polynomial; recursive; compositional inverse; monomial Citations:Zbl 1284.05012 PDFBibTeX XMLCite \textit{B. Wu} and \textit{D. Lin}, Discrete Appl. Math. 184, 213--222 (2015; Zbl 1311.05009) Full Text: DOI arXiv References: [1] Akbary, A.; Ghioca, D.; Wang, Q., On constructing permutations of finite fields, Finite Fields Appl., 17, 51-67 (2011) · Zbl 1281.11102 [2] Charpin, P.; Kyureghyan, G., When does \(G(x) + \gamma \text{Tr}(H(x))\) permutate \(F_{p^n} \)?, Finite Fields Appl., 15, 615-632 (2009) · Zbl 1229.11153 [3] Cohen, S., Proof of a conjecture of Chowla and Zassenhaus on permutation polynomials, Canad. Math. Bull., 30, 230-234 (1990) · Zbl 0722.11060 [4] Hou, X.-D., Two classes of permutation polynomials over finite fields, J. Combin. Theory Ser. A, 118, 448-454 (2011) · Zbl 1230.11146 [5] Laigle-Chapuy, Y., Permutation polynomials and applications to coding theory, Finite Fields Appl., 13, 58-70 (2007) · Zbl 1107.11048 [6] Laigle-Chapuy, Y., A note on a class of quadratic permutation polynomials over \(F_{2^n}\), (Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Lecture Notes in Comput. Sci., vol. 4851 (2007), Springer), 130-137 · Zbl 1195.11159 [7] Lidl, R.; Niederreiter, H., (Finite Fields. Finite Fields, Encyclopedia Math. Appl., vol. 20 (1997), Cambridge University Press: Cambridge University Press New York) [8] Mullen, G. L.; Niederreiter, H., Dickson polynomials over finite fields and complete mappings, Canad. Math. Bull., 30, 19-27 (1987) · Zbl 0576.12020 [9] Niederreiter, H.; Robinson, K., Bol loops of order \(p q\), Math. Proc. Cambridge Philos. Soc., 89, 241-256 (1981) · Zbl 0463.20050 [10] Niederreiter, H.; Robinson, K., Complete mappings of finite fields, J. Aust. Math. Soc. Ser A, 33, 197-212 (1982) · Zbl 0495.12018 [11] Tuxanidy, A.; Wang, Q., On the inverses of some classes of permutations of finite fields, Finite Fields Appl., 28, 244-281 (2014) · Zbl 1360.11134 [12] Tu, Z.; Zeng, X.; Hu, L., Several classes of complete permutation polynomials, Finite Fields Appl., 25, 182-193 (2014) · Zbl 1284.05012 [13] Wu, B., The compositional inverse of a class of linearized permutation polynomials over \(F_{2^n}, n\) odd, Finite Fields Appl., 29, 34-48 (2014) · Zbl 1309.11085 [14] Wu, B.; Liu, Z., The compositional inverse of a class of bilinear permutation polynomials over finite fields of characteristic 2, Finite Fields Appl., 24, 136-147 (2013) · Zbl 1286.05005 [15] Yuan, Y.; Tong, Y.; Zhang, H., Complete mapping polynomials over finite field \(F_{16}\), (Arithmetic of Finite Fields. Arithmetic of Finite Fields, Lect. Notes Comput. Sci., vol. 4547 (2007), Springer: Springer Berlin), 147-158 · Zbl 1213.11193 [16] Zha, Z.; Hu, L., Two classes of permutation polynomials over finite fields, Finite Fields Appl., 18, 781-790 (2012) · Zbl 1288.11111 [17] Zieve, M., Some families of permutation polynomials over finite fields, Int. J. Number Theory, 4, 851-857 (2008) · Zbl 1204.11180 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.