The weight hierarchies of \(q\)-ary linear codes of dimension 4 (Q607012)
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scientific article; zbMATH DE number 5817546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The weight hierarchies of \(q\)-ary linear codes of dimension 4 |
scientific article; zbMATH DE number 5817546 |
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The weight hierarchies of \(q\)-ary linear codes of dimension 4 (English)
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19 November 2010
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The weight hierarchy of a linear \([n,k;q]\) code \(C\) over \(GF(q)\) is the sequence \((d_1, d_2, \dots, d_k)\), where \(d_r\) is the smallest support weight of an \(r\)-dimensional subcode of \(C\). The authors classify \(q\)-ary linear codes of dimension \(4\) into two types, that is, type I and type II. Then they determine almost all weight hierarchies of \(q\)-ary linear codes of dimension \(4\) using the finite projective geometry method.
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difference sequence
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weight hierarchy
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\(q\)-ary code
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