Homogeneity theorems on perfect codes in Hamming schemes and generalized Hamming schemes (Q1087528)
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scientific article; zbMATH DE number 3987201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogeneity theorems on perfect codes in Hamming schemes and generalized Hamming schemes |
scientific article; zbMATH DE number 3987201 |
Statements
Homogeneity theorems on perfect codes in Hamming schemes and generalized Hamming schemes (English)
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1985
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A new necessary condition for the existence of perfect codes in the Hamming scheme is proved being an improvement of the sphere packing bound. It is also added in proof that L. Chihara has recently proved the non-existence of any new perfect codes in generalized Hamming scheme, extending in this way the well-known results of van Lint and Tietäväinen.
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existence condition
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perfect codes
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Hamming scheme
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sphere packing bound
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