On the covering radius of cyclic linear codes and arithmetic codes (Q1065761)
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scientific article; zbMATH DE number 3922531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the covering radius of cyclic linear codes and arithmetic codes |
scientific article; zbMATH DE number 3922531 |
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On the covering radius of cyclic linear codes and arithmetic codes (English)
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1985
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It is shown that the problem of finding the covering radius of a binary cyclic code with irreducible generator polynomial is equivalent to Waring's problem in \(GF(2^ m)\). An upper bound for the covering radius of some binary codes together with similar results for arithmetic codes is also given.
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finite field
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cyclotomic numbers
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BCH codes
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minimum distance
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covering radius
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binary cyclic code
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irreducible generator polynomial
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binary codes
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