A specific type of permutation and complete permutation polynomials over finite fields
2019 ◽
Vol 19
(04)
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pp. 2050067
Keyword(s):
In this paper, we study polynomials of the form [Formula: see text], where [Formula: see text] and list all permutation polynomials (PPs) and complete permutation polynomials (CPPs) of this form. This type of polynomials were studied by Bassalygo and Zinoviev for the cases [Formula: see text] and [Formula: see text], Wu, Li, Helleseth and Zhang for the case [Formula: see text], [Formula: see text], Bassalygo and Zinoviev answered the question for the case [Formula: see text], [Formula: see text] and finally by Bartoli et al. for the case [Formula: see text]. Here, we determine all PPs and CPPs for the case [Formula: see text].
2015 ◽
Vol 31
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pp. 228-240
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2014 ◽
Vol 28
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pp. 148-165
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2015 ◽
Vol 184
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pp. 213-222
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1969 ◽
Vol 7
(1)
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pp. 49-55
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2012 ◽
Vol 18
(6)
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pp. 1184-1194
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2016 ◽
Vol 83
(2)
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pp. 425-443
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