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Nested Balanced Incomplete Block Designs of the Double Cyclic Type

dc.contributor.authorSaka, A. J.
dc.contributor.authorAdeleke, B. I.
dc.identifier.citationSaka, 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 - 47en_US
dc.description.abstractA 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.en_US
dc.subjectNested designen_US
dc.subjectIncomplete blocken_US
dc.subjectBalanced incomplete blocken_US
dc.subjectDouble cyclicen_US
dc.titleNested Balanced Incomplete Block Designs of the Double Cyclic Typeen_US

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