Gilbert-Varshamov type bounds for linear codes over finite chain rings (Q874420)
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scientific article; zbMATH DE number 5140598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gilbert-Varshamov type bounds for linear codes over finite chain rings |
scientific article; zbMATH DE number 5140598 |
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Gilbert-Varshamov type bounds for linear codes over finite chain rings (English)
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5 April 2007
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The authors obtain Gilbert-Varshamov type bounds for linear codes over finite chain rings with various weights. They derive both finite and asymptotic versions of these bounds. The asymptotic type bound for a special weight has application to convolutional codes. Finally the authors obtain asymptotic Gilbert-Varshamov type bounds for Lee, Euclidean and PSK weights over the ring \(\mathbb Z_8\).
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linear codes
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finite chain rings
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Gilbert-Varshamov bound
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asymptotic bounds
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