Using product designs to construct orthogonal designs

Author:

Robinson Peter J.

Abstract

This paper produces new types of designs, called product designs, which prove extremely useful for constructing orthogonal designs. An orthogonal design of order 2t and typeis constructed. This design often meets the Radon bound for the number of variables.We also show that all orthogonal designs of order 2t and type (a, b, c, d, 2t-a-b-c-d), with 0 < a + b + c + d < 2t, exist for t = 5, 6, and 7.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. [4] Wolfe Warren W. , “Orthogonal designs - amicable orthogonal designs -some algebraic and combinatorial techniques”, (PhD Dissertation, Queen's University, Kingston, Ontario, 1975).

2. [3] Robinson Peter J. , “Concerning the existence and construction of orthogonal designs”, (PhD thesis, Australian National University, Canberra, 1977).

3. Orthogonal designs;Geramita;Linear and Multilinear Algebra,1975

4. Some new constructions for orthogonal designs

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