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The Spectra for the Conjugate Invariant Subgroups of n2 × 4 Orthogonal Arrays

Published online by Cambridge University Press:  20 November 2018

C. C. Lindner ,
R. C. Mullin  and
D. G. Hoffman
C. C. Lindner
Affiliation:
Auburn University, Auburn, Alabama
R. C. Mullin
Affiliation:
University of Waterloo, Waterloo, Ontario
D. G. Hoffman
Affiliation:
University of Waterloo, Waterloo, Ontario
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An n2 × k orthogonal array is a pair (P, B) where P = {1, 2, …, n} and B is a collection of k-tuples of elements from P (called rows) such that if i < j ∈ {1, 2, …, k} and x and y are any two elements of P (not necessarily distinct) there is exactly one row in B whose ith coordinate is x and whose jth coordinate is y. We will refer to the ith coordinate of a row r as the ith column of r. The number n is called the order (or size) of the array and k is called the strength.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 32 , Issue 5 , 01 October 1980 , pp. 1126 - 1139
Copyright
Copyright © Canadian Mathematical Society 1980

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