Abstract
A large number of techniques are known for constructing orthogonal arrays. This chapter, the first of several describing these techniques, discusses some constructions due to Bush (1952b), Addelman and Kempthorne (1961a), Rao (1946a, 1947, 1949) and Bose and Bush (1952), that have the common theme of using Galois fields and finite geometries. We also describe a number of basic properties of orthogonal arrays, including the important concept of linearity.
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© 1999 Springer Science+Business Media New York
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Hedayat, A.S., Sloane, N.J.A., Stufken, J. (1999). Orthogonal Arrays and Galois Fields. In: Orthogonal Arrays. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1478-6_3
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DOI: https://doi.org/10.1007/978-1-4612-1478-6_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7158-1
Online ISBN: 978-1-4612-1478-6
eBook Packages: Springer Book Archive