Alexander Bors

activity

20162021

most citedDocumentation for the GAP code file OrbOrd.txt

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2021

Coset-wise affine functions and cycle types of complete mappings

Alexander Bors, Qiang Wang

Let $K$ be a finite field of characteristic $p$ . We study a certain class of functions $K \to K$ that agree with an $F_{p}$ -affine function $K \to K$ on each c…

math.NT2021

Cycle types of complete mappings of finite fields

Alexander Bors, Qiang Wang

We derive several existence results concerning cycle types and, more generally, the "mapping behavior" of complete mappings. Our focus is on so-called first-order cyclotomic mappin…

math.NT2021

Generalized cyclotomic mappings: Switching between polynomial, cyclotomic, and wreath product form

Alexander Bors, Qiang Wang

This paper is concerned with so-called index $d$ generalized cyclotomic mappings of a finite field $F_{q}$ , which are functions $F_{q} \to F_{q}$ that ag…