Vol: 34A Page: 161

Authors:
Maria de Fatima Fontes de Sousa
Teresa Azinheira Oliveira

Title:
 BIBDR: some analysis on BIBD(9,24,8,3,2) cardinalities

Language: English

Keywords:
experimental design
BIBD
BIBD with repeated blocks

Summary:
The importance of Experimental Design is well known in several fields, like Agriculture, Industry and Genetics. Balanced incomplete Block designs with repeated blocks besides being optimal, play an important role in this area. The support of BIBD is the set of its distinct blocks and b* represents the cardinality of the support. So, if b*<b we have a BIB design with repeated blocks, denoted by BIBDR(v,b,r,k,λ|b*). This paper contains some research on different cardinalities to the same BIBDR(v,b,r,k,λ|b*). The analysis of particular case BIBD(9,24,8,3,2) is presented.