A new class of permutation trinomials constructed from Niho exponents
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Publication:1667444
DOI10.1007/S12095-017-0263-4zbMath1419.11126arXiv1707.00549OpenAlexW2962870917MaRDI QIDQ1667444
Publication date: 28 August 2018
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.00549
Related Items (9)
A survey on the applications of Niho exponents ⋮ On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\) ⋮ Two classes of permutation polynomials with Niho exponents over finite fields with even characteristic ⋮ A short note on polynomials f(X) = X + AX1+q2(q−1)/4 + BX1+3q2(q−1)/4 ∈ 𝔽q2[X, q even] ⋮ Further results on a class of permutation trinomials ⋮ A note on a class of permutation trinomials ⋮ On the constructions of \(n\)-cycle permutations ⋮ Several new permutation quadrinomials over finite fields of odd characteristic ⋮ Further results on permutation trinomials with Niho exponents
Cites Work
- Unnamed Item
- New classes of permutation binomials and permutation trinomials over finite fields
- A class of binary cyclic codes with generalized Niho exponents
- Permutation polynomials from trace functions over finite fields
- Determination of a type of permutation trinomials over finite fields. II
- Some new classes of permutation trinomials over finite fields with even characteristic
- The weight distribution of a class of \(p\)-ary cyclic codes
- A family of skew Hadamard difference sets
- Permutation polynomials and applications to coding theory
- Permutation polynomials, fractional polynomials, and algebraic curves
- New permutation trinomials from Niho exponents over finite fields with even characteristic
- Permutation trinomials over \(\mathbb{F}_{2^m}\)
- Further results on permutation trinomials over finite fields with even characteristic
- Several classes of permutation trinomials from Niho exponents
- On two conjectures about permutation trinomials over \(\mathbb{F}_{3^{2k}}\)
- Several classes of complete permutation polynomials
- Further results on a class of permutation polynomials over finite fields
- Construction of bent functions via Niho power functions
- Permutation polynomials over finite fields -- a survey of recent advances
- Permutation polynomials and group permutation polynomials
- Permutation polynomials of the form X + γ Tr(Xk)
- Handbook of Finite Fields
- Determination of a type of permutation trinomials over finite fields
- An Open Problem on the Distribution of a Niho-Type Cross-Correlation Function
- Permutation Trinomials Over Finite Fields with Even Characteristic
- Niho type cross-correlation functions via dickson polynomials and Kloosterman sums
- On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
- New permutation trinomials constructed from fractional polynomials
- Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
- Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method
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