Super-simple balanced incomplete block designs with block size 4 and index 8 (Q2860823)
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scientific article; zbMATH DE number 6225397
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Super-simple balanced incomplete block designs with block size 4 and index 8 |
scientific article; zbMATH DE number 6225397 |
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11 November 2013
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block designs
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super-simple designs
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optical orthogonal codes
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superimposed codes
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Super-simple balanced incomplete block designs with block size 4 and index 8 (English)
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In this paper, the authors investigate the existence of a super-simple \((v,4,8)\) balanced incomplete block designs (BIBDs). They prove that such a design exists if and only if \(v \equiv 1 \pmod 3\) and \(v \geq 19\). Also, they construct many super-simple \((v,4,8)\) BIBDs for these values of \(v\). Finally, the authors mention some applications of the results in coding theory (about optical orthogonal codes and superimposed codes).
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