A geometric non-existence proof of an extremal additive code (Q966057)
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scientific article; zbMATH DE number 5702011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric non-existence proof of an extremal additive code |
scientific article; zbMATH DE number 5702011 |
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A geometric non-existence proof of an extremal additive code (English)
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27 April 2010
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The authors use a geometric technique to prove a coding theoretic result. Specifically, they prove that there does not exist a system of 12 lines in \(PG(8,2)\) with the property that no hyperplane contains more than 5 of the lines. Equivalently, it follows that there does not exist an additive quaternary code of length 12 with cardinality \(2^9\) and minimum distance 7.
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additive codes
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projective geometry
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hyperplane
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secundum
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minimum distance
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weight
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strength
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spread
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