Further results on complete permutation monomials over finite fields

2017/08/23 by Xiutao Feng, Feng, Xiutao, Dongdai Lin +5
Mathematics · #05A05 #11T06 #11T55 #94B25 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05A05 #msc:11T06 #msc:11T55 #msc:94B25

paper · pdf · doi:10.48550/arxiv.1708.06955

arxiv created 2017/08/23 · arxiv updated 2017/08/24

Abstract

In this paper, we construct some new classes of complete permutation monomials with exponent d=(qⁿ-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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