Nested Balanced Incomplete Block Designs of the Double Cyclic Type

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 syst...

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Hlavní autoři: Saka, A. J., Adeleke, B. I.
Médium: Článek
Jazyk:angličtina
Vydáno: 2014
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On-line přístup:http://localhost:8080/xmlui/handle/123456789/3495
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Shrnutí: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.