Nested Balanced Incomplete Block Designs of the Double Cyclic Type

Abstract
A Nested Balanced Incomplete Block Design (NBIBD) is a design with two systems of blocks, each block from the first system containing m-blocks from the second. Consequently, by ignoring either system of blocks leaves a Balanced Incomplete Block Design (BIBD) whose blocks are those of the other system. Designs k = s2, where s is a prime or prime power. Otherwise the imposed relationship between the parameters of the designs would not be satisfied. In particular, double cyclic design for v = 7 and two distinct double cyclic designs for v = 13 were constructed and presented in Table 1.
Description
Keywords
Nested design, Incomplete block, Balanced incomplete block, Double cyclic
Citation
Saka, A. J. and Adeleke, B. I. (2010). Nested Balanced Incomplete Block Designs of the Double Cyclic Type. ICASTOR Journal of Mathematical Sciences, 4(1): 41 - 47
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