Rigidity theorems for a class of affine resolvable designs (Q2708247)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigidity theorems for a class of affine resolvable designs |
scientific article |
Statements
17 April 2001
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affine resolvable designs
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ternary codes
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dual designs
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Rigidity theorems for a class of affine resolvable designs (English)
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The authors use Magma to compute the ternary codes of the 68 affine resolvable 2-(27, 9, 4) designs and the codes of their dual designs. It is shown that all but two of the codes contain copies of the classical affine 2-(27, 9, 4) design of the points and planes in AG(3, 3). The codes of the dual designs together with the automorphism groups provide a complete set of isomorphism invariants for the 68 designs.
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