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Weighing Matrices and String Sorting

โœ Scribed by Ilias S. Kotsireas; Christos Koukouvinos; Jennifer Seberry


Publisher
Springer
Year
2009
Tongue
English
Weight
241 KB
Volume
13
Category
Article
ISSN
0218-0006

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๐Ÿ“œ SIMILAR VOLUMES


Weighing matrices and their applications
โœ Christos Koukouvinos; Jennifer Seberry ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 493 KB

Three major applications of weighing matrices are discussed. New weighing matrices and skew weighing matrices are given for many orders 4t ~ 100. We resolve the skew-weighing matrix conjecture in the affirmative for 4t <~ 88.

The Seyss automatic weighing and sorting
โœ Samuel James ๐Ÿ“‚ Article ๐Ÿ“… 1878 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 337 KB

James--Sel/ss Automatle Maehlne. 97 carbon, in the case of No. 4 bringing the strength a little below that at the ordinary temperature.

Perfect Codes and Balanced Generalized W
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

New weighing matrices of weight 25
โœ K. T. Arasu; Dina Torban ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 140 KB

The existence of a weighing matrix of order 33 and weight 25 has been open so far. We actually construct such a circulant matrix, thereby obtaining circulant matrices of order 33t with weight 25, for each positive integer t. Consequently a missing entry in Craigen's table of weighing matrices can no

Perfect Codes and Balanced Generalized W
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)