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Some classes of complete permutation polynomials in the form of ( x p m − x + δ ) s + ax p m + bx over F p 2 m
Several classes of complete permutation polynomials (CPPs) in the form of ( x p m − x + δ ) s + ax p m + bx over F p 2 m are described in this paper. For fractional exponent s , the permutation properties of the given polynomials are proved by the AGW criterion and for determining the bijectivity of...
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| Published in: | Applied mathematics and nonlinear sciences 2023-01, Vol.8 (1), p.1979-1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Citations: | Items that this one cites |
| Online Access: | Get full text |
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| Summary: | Several classes of complete permutation polynomials (CPPs) in the form of (
x
p
m
−
x
+
δ
)
s
+
ax
p
m
+
bx
over
F
p
2
m
are described in this paper. For fractional exponent
s
, the permutation properties of the given polynomials are proved by the AGW criterion and for determining the bijectivity of the corresponding piecewise functions. For exponent
s
satisfying
s
=
i
(
p
m
− 1) +
p
j
, the main proofs here depend on the AGW criterion and the quantity of solutions for certain linearised equations. Several results generalise some earlier results on permutation polynomials (PPs). |
|---|---|
| ISSN: | 2444-8656 2444-8656 |
| DOI: | 10.2478/amns.2021.2.00132 |