Non-standard linear recurring sequence subgroups and automorphisms of irreducible cyclic codes

Non-standard linear recurring sequence subgroups and automorphisms of irreducible cyclic codes

Let \(\cU\) be the multiplicative group of order~\(n\) in the splitting field \(\bbF_{q^m}\) of \(x^n-1\) over the finite field \(\bbF_q\). Any map of the form \(x\rightarrow cx^t\) with \(c\in \cU\) and \(t=q^i\), \(0\leq i

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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2022-02
1. Verfasser: Hollmann, Henk D L
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Codes
Fields (mathematics)
Permutations
Subgroups
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Zusammenfassung:Let \(\cU\) be the multiplicative group of order~\(n\) in the splitting field \(\bbF_{q^m}\) of \(x^n-1\) over the finite field \(\bbF_q\). Any map of the form \(x\rightarrow cx^t\) with \(c\in \cU\) and \(t=q^i\), \(0\leq i
ISSN:2331-8422