Research on a unification of multi-structured designs and general constructions.

2014 Fiscal Year Final Research Report

• Project/Area Number: 23540120
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: University of Tsukuba
• Principal Investigator: FUJI-HARA Ryoh 筑波大学, システム情報系, 教授 (30165443)
• Co-Investigator(Kenkyū-buntansha): MIAO Ying 筑波大学, システム情報系, 教授 (10302382)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 組み合わせ理論 / デザイン理論 / 多重構造デザイン / 有限体 / 有限幾何

Outline of Final Research Achievements

There are several kinds of block designs each block of which have further structures. Combinatorial conditions of the further structure are delicately different depend on applications. These designs was named independently, nested design, row-and-column design, splitting design, balanced or orthogonal array, etc. The constructions have been independently researched for long time, but often used the similar techniques. A thousand and one papers for constructions of those designs have been published. We like to call a class of those designs multi-structured designs whose notation includes condition sets for its super design and sub-designs.

Free Research Field

組み合わせ理論とその応用