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On arrays with some combinatorial structure

✍ Scribed by D.V. Chopra

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
290 KB
Volume
138
Category
Article
ISSN
0012-365X

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✦ Synopsis

In this paper we consider combinatorial entities called balanced arrays (B-arrays) which are generalizations of orthogonal arrays (O-arrays) and balanced incomplete block designs (BIBDs). We derive some necessary conditions for the existence of such arrays by using some well-known classical inequalities and the number of coincidences a certain column of the B-array has with other columns. We make some observations on the importance of these conditions to B-arrays, and discuss the applications of these arrays to design of experiments.

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Etzion, T., Combinatorial designs with Costas arrays properties, Discrete Mathematics 93 (1991) 143-154. Several constructions for O-l three-dimensional arrays, in which some of the two-dimenstonal subarrays have 'good' two-dimensional autocorrelation function values, i.e., the vectors connecting tw