Sankhya: The Indian Journal of Statistics

1996, Volume 58, Series B, Pt. 2, pp. 221--230



CHRISTOS KOUKOUVINOS, National Technical University of Athens


JENNIFER SEBERRY, University of Wollongong

SUMMARY.  New weighing matrices and skew weighing matrices are given for many orders $4t{\leq}100$. These are constructed by finding new sequences with zero autocorrelation. These results enable us to determine for the first time that for $4t{\leq}84$ a W(4t, k)  exists for all k = 1, ..., 4t-1 and also that there exists a skew-weighing matrix (also written as an OD(4t; 1, k)) for $4t{\leq}80$, t odd, k=a2 +b2+c2, a, b, c integers except k=4t-2 must be the sum of two squares.

AMS (1980) subject classification.  Primary 62K05, 62K10, secondary 05B20.

Key words and phrases. Autocorrelation, construction, associated polynomial, sequence.

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