On a generalization of cyclic semifields
type: Item
instance of: scholarly article
title: On a generalization of cyclic semifields
zbMATH Open document ID: 1230.51002
author: Norman L. Johnson
author: Giuseppe Marino
author: Olga Polverino
author: Rocco Trombetti
published in: Journal of Algebraic Combinatorics
publication date: 2009-05-04T00:00:00Z
review text: The authors give a new construction of cyclic semifields of order \(q^{2n}\), \(n\) odd, left nucleus \(\mathbb{F}_{q^n}\) and right and middle nucleus isomorphic to \(\mathbb{F}_{q^2}\). They determine the isotopism classes. This construction is then generalized to produce potentially new semifields that are not isotopic to cyclic semifields. In this way, new semifields of order \(4^5\) and \(16^5\) are obtained. The authors also show that these semifields are new.
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 12K10
zbMATH DE Number: 5550556
zbMATH Keywords: cyclic semifield
zbMATH Keywords: net replacement
zbMATH Keywords: lifting
reviewed by: Bart De Bruyn
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: s10801-007-0116-x
OpenAlex ID: W2008285154
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DOI: 10.1007/S10801-007-0116-X
description: scientific article; zbMATH DE number 5550556