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A geometrical representation theory for orthogonal arrays

Published online by Cambridge University Press:  17 April 2009

David G. Glynn
David G. Glynn
Affiliation:
Department of Mathematics and Statistics University of CanterburyChristchurchNew Zealand e-mail dgg@math.canterbury.ac.nz
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Every orthogonal array of strength s and of prime-power (or perhaps infinite) order q, has a well-defined collection of ranks r. Having rank r means that it can be constructed as a cone cut by qs hyperplanes in projective space of dimension r over a field of order q.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 311 - 324
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Casse, L.R.A. and Glynn, D.G., ‘The solution to Beniamino Segre's problem Ir, q, r = 3, q = 2h, Geom. Dedicata 13 (1982), 157–164.CrossRefGoogle Scholar
[2]Dembowski, P., Finite geometries (Springer-Verlag, Berlin, Heidelberg, New York, 1968).CrossRefGoogle Scholar
[3]Glynn, D.G., ‘The non-classical 10-arc of PG(4,9)’, Discrete Math. 59 (1986), 43–51.CrossRefGoogle Scholar
[4]Glynn, D.G. and Steinke, G.F., ‘Laguerre planes of even order and translation ovals’, Geom. Dedicata (to appear).Google Scholar
[5]Lidl, R. and Niederreiter, H., Finite fields, Encyclopedia of Mathematics and Its Applications 20 (Cambridge University Press, Cambridge, 1983).Google Scholar
[6]Lüneburg, H., Translation planes (Springer-Verlag, Berlin, Heidelberg, New York, 1980).CrossRefGoogle Scholar