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Reliability, covering and balanced matrices

โœ Scribed by Michael O. Ball; Feng L. Lin


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
489 KB
Volume
17
Category
Article
ISSN
0167-6377

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๐Ÿ“œ SIMILAR VOLUMES


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A qxn array with entries from {0, 1 ..... q-l} is said to form a difference matrix if the vector difference (modulo q) of each pair of columns consists of a permutation of {0, 1 ..... q -1 }; this definition is inverted from the more standard one to be found, e.g., in Colbourn and de Launey (1996).

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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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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)