Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series B, Pt. 1, 26--36

NEW INFINITE CLASSES OF WEIGHING MATRICES

By

S. GEORGIOU AND C. KOUKOUVINOS, National Technical University of Athens, Greece

SUMMARY. In this paper we use a new algorithm to find weighing matrices W(2n,9) constructed using two circulant matrices. The basic idea of this algorithm is to investigate all possible ways the weight 9 can be split into two weights of the corresponding sequences. Solutions for each split, if they exist, are given for weighing matrices W(2n,9), for all nup to 100. Many of these sequences are new and given here for the first time. Using these sequences we can obtain many new infinite classes of weighing matrices W(2n,9).

AMS (1991) subject classification. Primary 62K05, 62K10; secondary 05B20.

Key words and phrases. Weighing matrices, sequences, autocorrelation, construction, algorithm, linear model.

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