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).
Reliability, covering and balanced matrices
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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)