Constructing permutation polynomials from permutation polynomials of subfields

Cites Work

Some classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)
Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\)
On the inverses of some classes of permutations of finite fields
Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\)
Permutation polynomials from trace functions over finite fields
Compositional inverses and complete mappings over finite fields
On constructing permutations of finite fields
When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)?
Permutation polynomials over finite fields from a powerful lemma
Further results on permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over \(\mathbb{F}_{p^{2 m}}\)
A family of skew Hadamard difference sets
Permutation polynomials and applications to coding theory
Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\)
On a conjecture about a class of permutation trinomials
General constructions of permutation polynomials of the form \((x^{2^m} + x + \delta)^{i(2^m - 1) + 1} + x\) over \(\mathbb{F}_{2^{2 m}}\)
New constructions of permutation polynomials of the form \(x^rh\left( x^{q-1}\right) \) over \({\mathbb F}_{q^2}\)
Permutation polynomials \((x^{p^m} - x + \delta)^{s_1} +(x^{p^m} - x + \delta)^{s_2} + x\) over \(\mathbb{F}_{p^n}\)
Further results on permutation polynomials from trace functions
New constructions of involutions over finite fields
Further results on permutation polynomials over finite fields
Some new forms of permutation polynomials based on the AGW criterion
Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic
Permutation trinomials over \(\mathbb{F}_{2^m}\)
More classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+L(x)\)
Permutation polynomials over \(\mathbb{F}_{2^n}\) of the form \((x^{2^i} + x + \delta)^{s_1} +(x^{2^i} + x + \delta)^{s_2} + x\)
Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
Constructing permutations of finite fields via linear translators
Permutation polynomials over finite fields -- a survey of recent advances
Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + x\) over \(\mathbb{F}_{p^{2m}}\)
Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\)
Permutation polynomials of the form X + γ Tr(X^k)
Handbook of Finite Fields
15. Polynomials over finite fields: an index approach
A method for obtaining digital signatures and public-key cryptosystems
Finding Compositional Inverses of Permutations From the AGW Criterion
Permutation Polynomials in RSA-Cryptosystems
On Inverses of Permutation Polynomials of Small Degree Over Finite Fields
Optimal Ternary Cyclic Codes From Monomials
Compositional inverses of AGW-PPs -- dedicated to Professor Cunsheng Ding for his 60th birthday
A general construction of permutation polynomials of \(\mathbb{F}_{q^2}\)

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