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- W3013041659 abstract "Consider the power pseudorandom-number generator in a finite field ${mathbb F}_q$. That is, for some integer $ege2$, one considers the sequence $u,u^e,u^{e^2},dots$ in ${mathbb F}_q$ for a given seed $uin {mathbb F}_q^times$. This sequence is eventually periodic. One can consider the number of cycles that exist as the seed $u$ varies over ${mathbb F}_q^times$. This is the same as the number of cycles in the functional graph of the map $xmapsto x^e$ in ${mathbb F}_q^times$. We prove some estimates for the maximal and average number of cycles in the case of prime finite fields." @default.
- W3013041659 created "2020-04-03" @default.
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- W3013041659 date "2017-03-01" @default.
- W3013041659 modified "2023-09-26" @default.
- W3013041659 title "Connected components of the graph generated by power maps in prime finite fields" @default.
- W3013041659 hasPublicationYear "2017" @default.
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