On a class of quadratic polynomials with no zeros and its application to APN functions
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Publication:2434388
DOI10.1016/j.ffa.2013.08.006zbMath1305.11111arXiv1110.3177OpenAlexW2171663193MaRDI QIDQ2434388
Chik How Tan, Yin Tan, Carl Bracken
Publication date: 5 February 2014
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3177
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06)
Related Items (13)
On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb {P}^{3}\) in characteristic 2. II ⋮ Bent and permutational properties of Budaghyan-Carlet hexanomials ⋮ On the infiniteness of a family of APN functions ⋮ A infinite class of Kasami functions that are not APN infinitely often ⋮ Roots of certain polynomials over finite fields ⋮ Almost perfect and planar functions ⋮ Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\) ⋮ Solving \(X^{q+1}+X+a=0\) over finite fields ⋮ Almost perfect nonlinear trinomials and hexanomials ⋮ On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb{P}^3\) in characteristic \(2\) ⋮ О приближении дискретных функций линейными функциями ⋮ Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\) ⋮ On some quadratic APN functions
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