New constructions of permutation polynomials of the form \(x + \gamma \operatorname{Tr}_q^{q^2}(h(x))\) over finite fields with even characteristic

Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Special polynomials in general fields (12E10) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

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When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)?
Cryptographically strong permutations from the butterfly structure
A family of skew Hadamard difference sets
Permutation polynomials and applications to coding theory
Note on cubics over \(GF(2^n)\) and \(GF(3^n)\)
On the number of slopes of the graph of a function defined on a finite field
The number of directions determined by a function over a finite field.
On a conjecture about a class of permutation trinomials
A class of new permutation trinomials
Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic
Permutation polynomials of the form \(x + \gamma \mathrm{Tr}_q^{q^n}(h(x))\)
Permutations on finite fields with invariant cycle structure on lines
On the Tu-Zeng permutation trinomial of type \(( 1/4, 3/4)\)
Permutation polynomials of the form \(x^d+L(x^{s})\) over \(\mathbb{F}_{q^3}\)
A new almost perfect nonlinear function which is not quadratic
Permutation trinomials over \(\mathbb{F}_{2^m}\)
Permutations via linear translators
A note on permutation polynomials over finite fields
Constructing permutations of finite fields via linear translators
A note on complete polynomials over finite fields and their applications in cryptography
Permutation polynomials over finite fields -- a survey of recent advances
Perfect nonlinear functions and cryptography
A survey on the applications of Niho exponents
Permutation polynomials of the form \(X + \gamma \mathrm{Tr}(X^k)\)
On Permutation Quadrinomials and 4-Uniform BCT
Boolean Functions for Cryptography and Coding Theory
Cyclic Codes from Some Monomials and Trinomials
Two classes of permutation trinomials with Niho exponents

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