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Using product designs to construct orthogonal designs
Published online by Cambridge University Press: 17 April 2009
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 type
is 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.
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- Copyright © Australian Mathematical Society 1977
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