Balanced nested designs and balanced arrays

Balanced nested designs are closely related to other combinatorial structures such as balanced arrays and balanced n-ary designs. In particular, the existence of symmetric balanced nested designs is equivalent to the existence of some balanced arrays. In this paper, various constructions for symmetric balanced nested designs are provided. They are used to determine the spectrum of symmetric balanced nested balanced incomplete block designs with block size 3 and 4. 1 

• Type: Journal
• Year: 2002
• Where: DM
• Authors: Ryoh Fuji-Hara, Sanpei Kageyama, Shinya Kuriki, Ying Miao, Shigenobu Shinohara
• Keywords: Balanced, Designs, DM 2002, Nested