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New orthogonal designs of order 56

✍ Scribed by H. Evangelaras; S. Georgiou; C. Koukouvinos

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 90 KB
Volume: 10
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.10030

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✦ Synopsis

Abstract

Amicable sets of eight matrices are very useful in the construction of orthogonal designs using the Kharaghani array. In this article we use a simple procedure to construct many new amicable sets of eight matrices of order 7 and then new orthogonal designs of order 56. Some of these are restricted to be short amicable sets of two or four circulant matrices.. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 387–393, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10030

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