Likeable functions in finite fields (Q1063227)
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scientific article; zbMATH DE number 3915084
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Likeable functions in finite fields |
scientific article; zbMATH DE number 3915084 |
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Likeable functions in finite fields (English)
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1983
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The concept of a likeable function over a finite field of order \(q=p^ r\) was introduced by \textit{W. Kantor} [ibid. 42, 227-234 (1982; Zbl 0511.51011)] for the purpose of constructing certain interesting translation planes of order \(q^ 2\). It is shown that when q is odd then, except for the class shown by Kantor to occur in fields of characteristic 5, any other non-zero likeable function can exist only if \(r>\max (\sqrt{p},2).\)
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likeable function
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translation planes
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0.8724259734153748
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0.7629872560501099
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0.7356748580932617
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0.6987946033477783
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0.6979985237121582
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