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Weak amicable T ‐matrices and Plotkin arrays
Author(s) -
Holzmann W. H.,
Kharaghani H.
Publication year - 2008
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20123
Subject(s) - mathematics , combinatorics , prime (order theory) , class (philosophy) , prime power , order (exchange) , orthogonal array , discrete mathematics , arithmetic , statistics , computer science , finance , artificial intelligence , taguchi methods , economics
We introduce the class of weak amicable T ‐matrices and use it to construct a class of orthogonal designs,$${ OD(4(1+p)q;q,q,q,q,pq,pq,pq,pq)}$$ 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
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