Beyond the orthogonal array concept. (Q1427968)
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scientific article; zbMATH DE number 2056154
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Beyond the orthogonal array concept. |
scientific article; zbMATH DE number 2056154 |
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Beyond the orthogonal array concept. (English)
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14 March 2004
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The aim of this paper is to investigate a notion of regularity that is more flexible than the orthogonal array concept. A close connection is given between \(t\)-form spaces and \(T\)-designs in a Hamming space. The full \(t\)-distribution matrix, whose entries are special kinds of numbers, is also computed. The proof uses a certain matrix transform involving Krawtchouk polynomials. The paper concludes with a detailed example of the extended binary Golay code. The paper is an excellent piece of research work.
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orthogonal array
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\(t\)-forms
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\(T\)-designs
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Hamming scheme
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distance distribution
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