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A construction method of new D-, A-optimal weighing designs when N≡3 mod 4 and k⩽N−1.

✍ Scribed by Stathis Chadjiconstantinidis; Theodore Chadjipadelis

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
643 KB
Volume
131
Category
Article
ISSN
0012-365X

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✦ Synopsis

In this paper using circular matrices of order WI with elements circular matrices of order t, we construct block matrices having 2m diagonal blocks of the form (N-3) I,+ 35, and every other element equal to -1, where N = 2mt + 1 and m, t = 1 mod 2.

Then by deleting appropriate rows a number of non-equivalent new D-, A-optimal weighing designs (N, k, s) are constructed for k < N -1, N = 3 mod 4, N < 100 and s < 2m.

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