Designs and self-dual codes with long shadows. (Q1427005)
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scientific article; zbMATH DE number 2055386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Designs and self-dual codes with long shadows. |
scientific article; zbMATH DE number 2055386 |
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Designs and self-dual codes with long shadows. (English)
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14 March 2004
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A self-dual code is a code satisfying \(C=C^\perp\). The shadow of such a code is the coset of the self-dual code in the orthogonal of the subcode of doubly even vectors. The authors define \(s\)-extremal codes, which are self-dual codes where the minimum weight of the code and the shadow are as large as possible. They give an existence result for \(1\)-designs and \(2\)-designs in these codes and relate them to codes with long shadows.
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self-dual codes
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designs
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shadows
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