MacWilliams duality in LRTJ-spaces. (Q2822825)
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scientific article; zbMATH DE number 6632788
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | MacWilliams duality in LRTJ-spaces. |
scientific article; zbMATH DE number 6632788 |
Statements
5 October 2016
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array codes
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Lee-Rosenbloom-Tsfasman-Jain (LRTJ)-metric
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MacWilliams identity
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MacWilliams duality in LRTJ-spaces. (English)
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The author defines the complete weight enumerator for codes in \(\mathrm{Mat}_{m \times s} (\mathbb Z_k)\) with the Lee-Rosenbloom-Tsfasman-Jain metric. MacWilliams relations, which determine the weight enumerator of the dual code from the weight enumerator of the code, are given for the complete weight enumerator. It is shown, by example, that they do not reduce to the simple LRTJ weight enumerator.
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0.824008047580719
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0.8228999376296997
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