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
โฆ LIBER โฆ
Properties of balanced and perfect matrices
โ Scribed by Michele Conforti; M. R. Rao
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 613 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0025-5610
No coin nor oath required. For personal study only.
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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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