\(\mathbb F_p\)-codes, theta functions and the Hamming weight MacWilliams identity (Q394829)
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scientific article; zbMATH DE number 6250924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathbb F_p\)-codes, theta functions and the Hamming weight MacWilliams identity |
scientific article; zbMATH DE number 6250924 |
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\(\mathbb F_p\)-codes, theta functions and the Hamming weight MacWilliams identity (English)
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28 January 2014
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The paper gives an analytic proof of the MacWilliams identity for Hamming weight enumerators of linear codes over prime fields. The author uses theta functions of lattices defined over the \(p(p-1)\)st cyclotomic number field.
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codes
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Hamming weight enumerators
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lattices
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theta series
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MacWilliams identity
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