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Mixtures of order matrices and generalized order matrices

โœ Scribed by Nimrod Megiddo


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
549 KB
Volume
19
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Enumeration of generalized Hadamard matr
โœ P. B. Gibbons; R. Mathon ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 142 KB

## Abstract We investigate signings of symmetric GDD($16 \times 2^i$, 16, $2^{4-i}$)s over $Z\_2$ for $1 \le i \le 3$. Beginning with $i=1$, at each stage of this process a signing of a GDD($16 \times 2^i$, 16, $2^{4-i}$) produces a GDD($16 \times 2^{i+1}$, 16, $2^{4-i-1}$). The initial GDDs ($i=1$

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โœ Alexander Pott ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 310 KB

## Abstract Recently, A. B. Evans proved the following Theorem: There is a maximal set of (p โˆ’ 3)/2 [(resp. (p โˆ’ 1)/2] mutually orthogonal Latin squares of order __p__ if __p__ is a prime __p__ โ‰ก 3 mod 4 (resp. __p__ โ‰ก 1 mod 4). In this article I will give a slightly different proof using more geom

Checkered Hadamard Matrices of Order 16
โœ R.W. Goldbach; H.L. Claasen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

In this paper all the so-called checkered Hadamard matrices of order 16 are determined (i.e., Hadamard matrices consisting of 16 square blocks H i j of order 4 such that H ii = J 4 and H i j J 4 = J 4 H i j = 0 for i = j and where J 4 is the all-one matrix of order 4). It is shown that the checkered

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A (maximal) difference matrix with r rows over a group G of order s gives rise to a (maximal) set of r -1 mutually orthogonal Latin squares of order s. The row sizes of maximal difference matrices are determined for all groups G of order ~<10.