Weak amicable T-matrices and Plotkin arrays

✍ Scribed by W. H. Holzmann; H. Kharaghani

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 122 KB
• Volume: 16
• Category: Article
• ISSN: 1063-8539
• DOI: 10.1002/jcd.20123

✦ Synopsis

Abstract

We introduce the class of weak amicable T‐matrices and use it to construct a class of orthogonal designs,

for p = 1 and for p a prime power ≡ 3 (mod 4), and all odd q, q ≤ 21. This class includes new Plotkin arrays of order 24, 40, 56 and for the first time, of orders 8__q__, q ∈ {9,11,13,15,17,19,21}. © 2006 Wiley Periodicals, Inc. J Combin Designs 16: 44–52, 2008