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- W2014009849 abstract "Let $t$ be an integer $ge 5$.The absolute irreducibility of the polynomial $phi_t(x, y) = frac{x^t + y^t + 1 + (x + y + 1)^t}{(x + y)(x + 1)(y + 1)}$ (over $mathbb{F}_2$) plays an important role in the study of APN functions.If $t equiv 5 bmod{8}$, we give a criterion that ensures that $phi_t(x, y)$ is absolutely irreducible.We prove that if $phi_t(x, y)$ is not absolutely irreducible, then it is divisible by $phi_{13}(x, y)$.We also exhibit an infinite family of integers $t$ such that $phi_t(x, y)$ is not absolutely irreducible." @default.
- W2014009849 created "2016-06-24" @default.
- W2014009849 creator A5019843612 @default.
- W2014009849 date "2014-11-01" @default.
- W2014009849 modified "2023-10-17" @default.
- W2014009849 title "On the irreducibility of the hyperplane sections of Fermat varieties in $mathbb{P}^3$ in characteristic $2$" @default.
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- W2014009849 doi "https://doi.org/10.3934/amc.2014.8.497" @default.
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