Orthogonal Designs of Kharaghani Type: \(II\)

Christos Koukouvinos1, Jennifer Seberry2
1Department of Mathematics National Technical University of Athens Zografou 15773, Athens Greece
2School of IT and Computer Science University of Wollongong Wollongong, NSW, 2522 Australia

Abstract

H. Kharaghani, in “Arrays for orthogonal designs” \((2000)\), \(\textit{J. Combin. Designs}\), \(8 (2000), 166-173\), showed how to use amicable sets of matrices to construct orthogonal designs in orders divisible by eight. We show how amicable orthogonal designs can be used to make amicable sets and so obtain infinite families of orthogonal designs in six variables in orders divisible by eight.