広島大学大学院教育学研究科紀要. 第二部, 文化教育開発関連領域 Issue 52
published_at 2004-03-28

On the Impact of Characterization of Symmetric Balanced Incomplete Block Designs on Their Complements

Kageyama Sanpei
Mohan R. N.
Nair M. M.
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KJ00004404277.pdf
Abstract
It is trivially known that the complement of a symmetric balanced incomplete block (SBIB) design is again an SBIB design. While charactering all the SBIB designs, Mohan, Kageyama and Nair [1] have obtained a new classification of these SBIB designs. It is found that this classification has a specific impact on the complements of these SBIB designs. This has been explored in this paper in the light of [1]. In addition, at the end, these designs along with their other properties have been tabulated for the ready reference and for practical purposes.
Keywords
Symmetric balanced incomplete block (SBIB) design
Complement of design