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arxiv: 1708.06955 · v1 · pith:AWVXAHTCnew · submitted 2017-08-23 · 🧮 math.NT · math.CO

Further results on complete permutation monomials over finite fields

classification 🧮 math.NT math.CO
keywords completemonomialspermutationrecentresultssomecaseclasses
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In this paper, we construct some new classes of complete permutation monomials with exponent $d=\frac{q^n-1}{q-1}$ using AGW criterion (a special case). This proves two recent conjectures in [Wuetal2] and extends some of these recent results to more general $n$'s.

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