Super-simple balanced incomplete block designs with block size 5 and index 3

作者：Chen Kejun; Chen Guangzhou; Li Wen; Wei Ruizhong^*

来源：Discrete Applied Mathematics, 2013, 161(16-17): 2396-2404.

DOI：10.1016/j.dam.2013.05.007

• Super-simple designs
• BIBD
• GDD

Super-simple designs are useful in constructing codes and designs such as superimposed codes and perfect hash families. In this article, we investigate the existence of a super-simple (v, 5, 3) balanced incomplete block design and show that such a design exists if and only if v equivalent to 1, 5 (mod 20) and v >= 21 except possibly when v = 45, 65.

• 出版日期2013-11
• 单位盐城师范学院; 河北师范大学