Cyclic orthogonal and balanced arrays

✍ Scribed by Ryoh Fuji-Hara; Shinji Kuriki; Maki Miyake

• Book ID: 104340209
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 501 KB
• Volume: 56
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(96)00016-x

✦ Synopsis

Kuriki and Fuji-Hara (1994)

introduced an (r, 2)-design with mutually balanced nested subdesigns ((r, 2)-design with MBN), which is equivalent to a balanced array of strength 2 with s symbols, and gave some constructions of such (r, 2)-designs. In this paper, we consider cyclic orthogonal and balanced arrays, and we give a cyclic version of the results obtained by them. Furthermore, we give a construction of a cyclic (r, 2)-design with MBN by a product method. By the construction, new cyclic balanced arrays with s ~> 3 are presented.