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- W3134795428 abstract "This paper is concerned with so-called index $d$ generalized cyclotomic mappings of a finite field $mathbb{F}_q$, which are functions $mathbb{F}_qrightarrowmathbb{F}_q$ that agree with a suitable monomial function $xmapsto ax^r$ on each coset of the index $d$ subgroup of $mathbb{F}_q^{ast}$. We discuss two important rewriting procedures in the context of generalized cyclotomic mappings and present applications thereof that concern index $d$ generalized cyclotomic permutations of $mathbb{F}_q$ and pertain to cycle structures, the classification of $(q-1)$-cycles and involutions, as well as inversion." @default.
- W3134795428 created "2021-03-15" @default.
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- W3134795428 date "2022-06-01" @default.
- W3134795428 modified "2023-09-26" @default.
- W3134795428 title "Generalized Cyclotomic Mappings: Switching Between Polynomial, Cyclotomic, and Wreath Product Form" @default.
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- W3134795428 doi "https://doi.org/10.4208/cmr.2021-0029" @default.
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