The Hering plane and associated designs (Q1387413)
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scientific article; zbMATH DE number 1158970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hering plane and associated designs |
scientific article; zbMATH DE number 1158970 |
Statements
The Hering plane and associated designs (English)
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4 August 1998
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We associate an affine plane \({\mathcal A}_f\) with any automorphism \(f\) of the additive group of the field \(F=GF(q)\), where \(q\) is odd, \(F^*= \Delta \cup-\Delta\), and \(\Delta=\{x^fx\mid x\in F^*\}\). We compute the ternar of the plane \({\mathcal A}_f\). A simple construction of the Hering plane in the case \(q=27\), \(x^f=x-Trx= -x^3-x^9\) and two designs associated with it are described in detail.
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automorphisms of finite fields
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ternar of an affine plane
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Hering plane
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