Constructing Gray maps from combinatorial geometries (Q2786867)
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scientific article; zbMATH DE number 6544887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructing Gray maps from combinatorial geometries |
scientific article; zbMATH DE number 6544887 |
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Constructing Gray maps from combinatorial geometries (English)
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23 February 2016
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projective geometries
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hyperplanes
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homogeneous weight, finite chain rings
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The authors use projective geometries for obtaining distance preserving Gray maps from finite chain rings and the rings \(R_{k}\), \(k=1, 2, \ldots\) to their residue fields. These maps are constructed with respect to the homogeneous weight, a generalization of Hamming weight for finite rings.
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