New Infinite Classes of Orthogonal Designs

Authors: Georgiou S.¹; Koukouvinos C.¹

Source: Linear and Multilinear Algebra, Volume 50, Number 4, 1 January 2002 , pp. 293-300(8)

Publisher: Taylor and Francis Ltd

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Abstract:

In this paper we use some results on weighing matrices W(2n,9) constructed using two circulants to obtain infinite classes of orthogonal designs. We also present a method that is used to construct two directed sequences of length n and specific type. We apply this method to W(2n, 9) and we obtain many new pairs of directed sequences of length n and type $(9 cdot 2ˆm,9 cdot 2ˆm), m=0,1,2,3.$

Using these directed sequences we can obtain many new infinite classes of weighing matrices W(2n, k), and orthogonal designs OD(2n; a,b) constructed from two circulants.

Keywords: Weighing matrices; Orthogonal designs; Sequences; Autocorrelation; Construction

Document Type: Research article

Affiliations: 1: Department of Mathematics, National Technical University of Athens, Zografou 15773, Athens, Greece

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