Even poset and a parity result for binary linear code (Q855546)
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scientific article; zbMATH DE number 5077996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Even poset and a parity result for binary linear code |
scientific article; zbMATH DE number 5077996 |
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Even poset and a parity result for binary linear code (English)
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7 December 2006
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Let \(C\) be a subspace of the space consisting of all binary vectors of a fixed length. The author proves that the sum of all maximal vectors of \(C\) equals the sum of all minimal vectors of \(C\). The concept of even poset is introduced and a duality result is established.
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support
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Eulerian graph
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binary matroid
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minimal vector
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