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arxiv: 1312.5502 · v1 · pith:LHOTTPBAnew · submitted 2013-12-19 · 🧮 math.NT

Complete permutation polynomials induced from complete permutations of subfields

classification 🧮 math.NT
keywords completepermutationpermutationspolynomialsconstructfieldsfiniteseveral
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We propose several techniques to construct complete permutation polynomials of finite fields by virtue of complete permutations of subfields. In some special cases, any complete permutation polynomials over a finite field can be used to construct complete permutations of certain extension fields with these techniques. The results generalize some recent work of several authors.

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