文章基本信息

标题：An Algorithm for Constructing Symmetric ((r+1)v, kr, kλ) BIBDs from Affine Resolvable (v, b, r, k, λ) BIBDs
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作者：Kazeem A. Osuolale ; Oluwaseun A. Otekunrin
期刊名称：Annals. Computer Science Series
印刷版ISSN：1583-7165
电子版ISSN：2065-7471
出版年度：2014
卷号：12
期号：2
页码：49-60
出版社：Mirton Publishing House, Timisoara
摘要：This work deals with the construction of symmetric ((r+1)v, kr, kλ) BIBDs from affine resolvable (v, b, r, k, λ) BIBDs. A MATLAB program was written to construct resolution and parallel classes from ((4, 6, 3, 2, 1) and (9, 12, 4, 3, 1) affine resolvable designs. A technique was thereafter used, via the MATLAB program to obtain their corresponding incidence matrices which gave rise to symmetric ((r+1)v, kr, kλ) BIBDs. The two SBIBDs ((16, 6, 2) and (45, 12, 3) constructed obeyed the mathematical property of a symmetric matrix and this makes the technique employed in this research unique since the terminology SBIBD does not imply true mathematical symmetry
关键词：Affine Resolvable BIBDs; MATLAB Program; Incidence Matrices; Symmetric BIBDs and Symmetric Matrix