The number of MDS [7,3] codes on finite fields of characteristic 2 (Q1205126)
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scientific article; zbMATH DE number 146885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of MDS [7,3] codes on finite fields of characteristic 2 |
scientific article; zbMATH DE number 146885 |
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The number of MDS [7,3] codes on finite fields of characteristic 2 (English)
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1 April 1993
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The number of \([7,3,5]\) codes over \(GF(2^ m)\) is determined. First, this number is related to the number of configurations of seven points in the projective plane over \(GF(2^ m)\), no three of which are collinear. Subsequently, the number of these configurations is counted.
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MDS codes
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finite projective geometry
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arcs
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configurations
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projective plane
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