An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\) (Q1273536)
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scientific article; zbMATH DE number 1230694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\) |
scientific article; zbMATH DE number 1230694 |
Statements
An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\) (English)
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22 August 1999
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The authors use the support of the vectors with Hamming weight 5 and minimal Lee weight in the \(\mathbb{Z}\)-linear Preparata code to construct a 3-\((2^m,5,10)\)-design for all \(m\geq 3\).
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3-design
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Preparata code
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Lee weight
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Hamming weight
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