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A recursive method for construction of designs

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

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
497 KB
Volume
106-107
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

Ray-Chaudhuri, D.K., T. Zhu, A recursive method for construction of designs, Discrete Mathematics 106/107 (1992) 399-406.

In this paper, we generalize Blanchard and Narayani's constructions of designs in the following ways.

(1) By applying an orthogonal array to the construction, we can reduce the parameter 1.

Moreover we get a family of designs with fixed t, k, u, and varying A.

(2) Instead of using a design as a base (so-called exterior design by Blanchard and Narayani),

we use an ordered design as a base, and compose several designs to produce a new design.

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