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Cyclotomic orthomorphisms of finite fields

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 161, pages 294-300 (issn: 0166-218X, Copyright policy )
Authors: Jordan R. Bell;

doi: 10.1016/j.dam.2012.08.013

Cyclotomic orthomorphisms of finite fields

Abstract

AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq of index 3,4,5,6 for certain classes of prime powers q. We also give an explicit formula for the number of cyclotomic mappings of index 2 that are strong complete mappings of Fp for prime p.

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Keywords

Cyclotomic numbers, Applied Mathematics, Complete mappings, Orthomorphisms, Discrete Mathematics and Combinatorics, Queens solutions, Cyclotomy, Strong complete mappings

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
hybrid
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