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- W2902692369 abstract "A well-known result of von zur Gathen asserts that a non-exceptional permutation polynomial of degree $n$ over $mathbb{F}_{q}$ exists only if $q<n^{4}$. With the help of the Weil bound for the number of $mathbb{F}_{q}$-points on an absolutely irreducible (possibly singular) affine plane curve, Chahal and Ghorpade improved von zur Gathen's proof to replace $n^{4}$ by a bound less than $n^{2}(n-2)^{2}$. Also based on the Weil bound, we further refine the upper bound for $q$ with respect to $n$, by a more concise and direct proof following Wan's arguments." @default.
- W2902692369 created "2018-12-11" @default.
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- W2902692369 date "2018-11-30" @default.
- W2902692369 modified "2023-09-27" @default.
- W2902692369 title "The Weil bound and non-exceptional permutation polynomials over finite fields" @default.
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