Hecke operators and the weight distributions of certain codes (Q805670)
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scientific article; zbMATH DE number 4204483
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hecke operators and the weight distributions of certain codes |
scientific article; zbMATH DE number 4204483 |
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Hecke operators and the weight distributions of certain codes (English)
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1991
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The authors determine the weight enumerators of the dual codes of the binary Melas codes and Zetterberg codes and hence, by application of the Mac-Williams identity, the weight enumerators of these codes themselves as well as of the extended double error correcting quadratic Goppa codes. The dual codes appear to be related to a certain family of elliptic curves which are used to compute the weight distributions.
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Hecke operator
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binary Melas codes
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Zetterberg codes
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Mac-Williams identity
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weight enumerators
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Goppa codes
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elliptic curves
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