Design and Construct for Non-Isomorphism Block

Abstract:

This paper clarifies the basic idea of design and construct for non-isomorphism block. The method of using standard edge matrix to structure block design is proposed, the whole process to design and construct (14, 8, 7, 4, 3) and (18, 9, 8, 4, 3) is introduced. It uses the side of each column of the standard edge matrix exactly, and also constitutes a complete graph by arranging the edge of complete graph to the initial matrix and re-arranging it to the standard edge matrix. According to the set of edge in standard edge matrix, 14 blocks of designing (14,8,7,4,3) and 18 blocks of designing (18,9,8,4,3) are obtained. Finally, it proved the number of design non-isomorphism (14, 8, 7, 4, 3) is 5, and (14, 8, 7, 4, 3) is 1.

• Periodical: Advanced Materials Research (Volumes 631-632)
• Pages: 1427-1430
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.631-632.1427
• Online since: January 2013
• Authors: Zhao Di Xu, Xiao Yi Li, Wan Xi Chou
• Keywords: Construction, Design, Edge Matrix, Non-Isomorphism

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