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Perfect Codes and Balanced Generalized Weighing Matrices, II

โœ Scribed by Dieter Jungnickel; Vladimir D. Tonchev

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
634 KB
Volume
6
Category
Article
ISSN
1571-0653

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๐Ÿ“œ SIMILAR VOLUMES

Perfect Codes and Balanced Generalized W
Perfect Codes and Balanced Generalized Weighing Matrices, II
โœ Dieter Jungnickel; Vladimir D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

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)

Perfect Codes and Balanced Generalized W
Perfect Codes and Balanced Generalized Weighing Matrices
โœ Dieter Jungnickel; Vladimir D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 110 KB

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