It is proved that any set of representatives of the distinct one-dimensional subspaces in the dual code of the unique linear perfect single-error-correcting code of length (qB!1)/(q!1) over GF(q) is a balanced generalized weighing matrix over the multiplicative group of GF(q). Moreover, this matrix
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Polar spaces, generalized hexagons and perfect codes
β Scribed by J.A Thas
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 512 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0097-3165
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In a previous paper, the authors proved that any set of representatives of the distinct 1dimensional subspaces in the dual code of the unique linear perfect single-error-correcting code of length (qB!1)/(q!1) over GF(q) is a balanced generalized weighing matrix over the multiplicative group of GF(q)
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