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- W2030474133 abstract "Motivated by a conjecture of Klapper [Finite Fields, Coding Theory, and Advances in Communications and Computing, Marcel Dekker, New York, 1993], we study the distribution of elements $xi$ of a finite field $mathbb{F}_{q^n}$ of $q^n$ elements under the action of the transformations $xito(axi+b)/(cxi+d)$ for matrices $left(begin{smallmatrix}a&bc&dend{smallmatrix}right)inmathrm{PGL_2(q)}$. We slightly improve a result of Niederreiter and Winterhof [Finite Fields Appl., 9 (2003), pp. 458–471] towards this conjecture. On the other hand, we also show that the original conjecture is false as stated." @default.
- W2030474133 created "2016-06-24" @default.
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- W2030474133 date "2010-01-01" @default.
- W2030474133 modified "2023-09-25" @default.
- W2030474133 title "On the Distribution of Orbits of $mathrm{PGL_2(q)}$ in ${mathbbF}_{q^n}$ and the Klapper Conjecture" @default.
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- W2030474133 doi "https://doi.org/10.1137/090770746" @default.
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