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Orthogonal arrays and ordered designs

โœ Scribed by D.K. Ray-Chaudhuri; Tianbao Zhu

Book ID
104340253
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
310 KB
Volume
58
Category
Article
ISSN
0378-3758

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โœฆ Synopsis

In the first part of this paper, we give a short and direct construction of signed orthogonal array SOA(2, t, k, v), for any set of parameters 2, t, k, v, t ~< k. We also construct a specific basis of the Z-module generated by any SOA(0, t, k, v), for any t, k, v, t ~< k. We will then construct an inite family of large set of disjoint ordered designs by applying G.B. Khosrovshahi and S. Ajoodani-Namini's method to Luc. Teirlinck's construction.

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โœ H. Kharaghani ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 106 KB

for some permutation ' of the set f1Y 2Y F F F Y 2ng. An inยฎnite number of arrays which are suitable for any amicable set of eight circulant matrices are introduced. Applications include new classes of orthogonal designs.