A new quasi-symmetric 2-(56,\,16,\,6) design obtained from codes (Q1876695)
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scientific article; zbMATH DE number 2093786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new quasi-symmetric 2-(56,\,16,\,6) design obtained from codes |
scientific article; zbMATH DE number 2093786 |
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A new quasi-symmetric 2-(56,\,16,\,6) design obtained from codes (English)
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20 August 2004
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The biplanes \((v,v,k,k,2)\) are symmetric designs of great interest and they are known to exist for only a few values of \(v\) \((v=1+{k\choose 2})\). One of these values is \(v=56\), and the number of non-isomorphic biplanes on 56 points is not known. The authors use coding theory to construct a new biplane from the known quasi-symmetric biplane on 56 points; their new biplane is also quasi-symmetric.
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Quasi-symmetric design
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Symmetric design
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Linear code
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