Complete permutation polynomials from exceptional polynomials. Bartoli, D., Giulietti, M., Quoos, L., & Zini, G. JOURNAL OF NUMBER THEORY, 176:46–66, 2017.
Complete permutation polynomials from exceptional polynomials [link]Paper  doi  abstract   bibtex   
We classify complete permutation monomials of degree View the MathML source over the finite field with qn elements in odd characteristic, for n+1 a prime and (n+1)4
@article{
	11391_1400537,
	author = {Bartoli, Daniele and Giulietti, Massimo and Quoos, Luciane and Zini, Giovanni},
	title = {Complete permutation polynomials from exceptional polynomials},
	year = {2017},
	journal = {JOURNAL OF NUMBER THEORY},
	volume = {176},
	abstract = {We classify complete permutation monomials of degree View the MathML source over the finite field with qn elements in odd characteristic, for n+1 a prime and (n+1)4<q. As a corollary, a conjecture by Wu, Li, Helleseth, and Zhang is proven in odd characteristic. When n+1 is a power of the characteristic we provide some new examples. Indecomposable exceptional polynomials of degree 8 and 9 are also classified.},
	keywords = {Bent–negabent boolean functions; Complete permutation polynomials; Exceptional polynomials; Permutation polynomials; Algebra and Number Theory},
	url = {http://www.sciencedirect.com/science/article/pii/S0022314X17300495},
	doi = {10.1016/j.jnt.2016.12.016},	
	pages = {46--66}
}

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