Defining the \(q\)-analogue of a matroid (Q1658766)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Defining the \(q\)-analogue of a matroid |
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Defining the \(q\)-analogue of a matroid (English)
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15 August 2018
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Summary: This paper defines the \(q\)-analogue of a matroid and establishes several properties like duality, restriction and contraction. We discuss possible ways to define a \(q\)-matroid, and why they are (not) cryptomorphic. Also, we explain the motivation for studying \(q\)-matroids by showing that a rank metric code gives a \(q\)-matroid.
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matroid theory
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\(q\)-analogue
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rank metric codes
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