A class of permutation trinomials over finite fields of odd characteristic

DOI10.1007/s12095-018-0307-4zbMath1415.05006OpenAlexW2799573655MaRDI QIDQ2311417

Xiangyong Zeng, Ziran Tu

Publication date: 10 July 2019

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-018-0307-4

zbMATH Keywords

finite fieldtrace functionpermutation trinomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (9)

Binary sequences derived from monomial permutation polynomials over \(\mathrm{GF}(2^p)\) ⋮ On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\) ⋮ Several classes of complete permutation polynomials with Niho exponents ⋮ 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 ⋮ The differential spectrum and boomerang spectrum of a class of locally-APN functions ⋮ Determination of a class of permutation trinomials in characteristic three ⋮ More classes of permutation quadrinomials from Niho exponents in characteristic two ⋮ More results about a class of quadrinomials over finite fields of odd characteristic

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