On semi-fields of type \((q^{2n},q^n,q^2,q)\), \(n\) odd (Q1022879)
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scientific article; zbMATH DE number 5567867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semi-fields of type \((q^{2n},q^n,q^2,q)\), \(n\) odd |
scientific article; zbMATH DE number 5567867 |
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On semi-fields of type \((q^{2n},q^n,q^2,q)\), \(n\) odd (English)
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23 June 2009
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The authors determine (up to isotopy) the form of any semifield of type \((q^{2n},q^{n},q^{2},q^{2},q)\) when \(n\) is an odd integer, proving that there exist \((n-1)/2\) non isotopic potential families of semifields of this type. They also provide (with the aid of the computer) new examples of semifields of type \((q^{14},q^{7},q^{2},q^{2},q)\), when \(q=2\).
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semifield
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isotopy
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linear set
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