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- W1643296282 abstract "In this paper, we extend the definition of Boolean canalyzing functions to the canalyzing functions over finite field $mathbb{F}_{q}$, where $q$ is a power of a prime. We obtain the characterization of all the eight classes of such functions as well as their cardinality. When $q=2$, we obtain a combinatorial identity by equating our result to the formula in cite{Win}. Finally, for a better understanding to the magnitude, we obtain the asymptotes for all the eight cardinalities as either $ntoinfty$ or $qtoinfty$." @default.
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- W1643296282 date "2011-10-28" @default.
- W1643296282 modified "2023-10-18" @default.
- W1643296282 title "Multi-state Canalyzing Functions over Finite Fields" @default.
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- W1643296282 doi "https://doi.org/10.48550/arxiv.1110.6481" @default.
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