The poset structures admitting the extended binary Hamming code to be a perfect code (Q704279)
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scientific article; zbMATH DE number 2127153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The poset structures admitting the extended binary Hamming code to be a perfect code |
scientific article; zbMATH DE number 2127153 |
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The poset structures admitting the extended binary Hamming code to be a perfect code (English)
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13 January 2005
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The authors characterize the partially ordered sets (posets) \(P\) for which an extended binary Hamming code is a double or triple error-correcting perfect code under the poset metric \(d_{P}\). For the two extended Hamming codes such posets are showed explicitly. These results follow and complete a previous work by \textit{R.A. Brualdi}, \textit{J.S. Graves} and \textit{K.M. Lawrence} in [Discrete Math. 147, 57--72 (1995; Zbl 0854.94019)].
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poset codes
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perfect codes
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extended Hamming codes
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