Balanced arrays of strength two and nested (r, λ)-designs

✍ Scribed by Shinji Kuriki; Ryoh Fuji-Hara

• Publisher: John Wiley and Sons
• Year: 1994
• Tongue: English
• Weight: 375 KB
• Volume: 2
• Category: Article
• ISSN: 1063-8539
• DOI: 10.1002/jcd.3180020604

✦ Synopsis

Abstract

An (r,λ)‐design with mutually balanced nested subdesigns (for brevity, (r,λ)‐design with MBN) is introduced firstly in this article. It is shown that an r,λ‐design with MBN is equivalent to a balanced array of strength 2 with s symbols. By the use of a nested design and an orthogonal array, a construction of an r,λ‐design with MBN is given. A direct construction of such an (r,λ)‐design, based on the result obtained by Wilson [15], is also given. By these constructions, new balanced arrays with s ≥ 3 are presented. © 1994 John Wiley & Sons, Inc.