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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| author | Saka, A. J. Adeleke, B. I. |
| author_facet | Saka, A. J. Adeleke, B. I. |
| author_sort | Saka, A. J. |
| collection | DSpace |
| description | 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. |
| format | Article |
| id | oai:ir.oauife.edu.ng:123456789-3495 |
| institution | My University |
| language | English |
| publishDate | 2014 |
| record_format | dspace |
| spelling | oai:ir.oauife.edu.ng:123456789-34952023-05-13T11:10:40Z Nested Balanced Incomplete Block Designs of the Double Cyclic Type Saka, A. J. Adeleke, B. I. Nested design Incomplete block Balanced incomplete block Double cyclic 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. 2014-09-01T11:03:55Z 2018-10-29T11:15:00Z 2014-09-01T11:03:55Z 2018-10-29T11:15:00Z 2010 Article 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 http://localhost:8080/xmlui/handle/123456789/3495 en PDF application/pdf |
| spellingShingle | Nested design Incomplete block Balanced incomplete block Double cyclic Saka, A. J. Adeleke, B. I. Nested Balanced Incomplete Block Designs of the Double Cyclic Type |
| title | Nested Balanced Incomplete Block Designs of the Double Cyclic Type |
| title_full | Nested Balanced Incomplete Block Designs of the Double Cyclic Type |
| title_fullStr | Nested Balanced Incomplete Block Designs of the Double Cyclic Type |
| title_full_unstemmed | Nested Balanced Incomplete Block Designs of the Double Cyclic Type |
| title_short | Nested Balanced Incomplete Block Designs of the Double Cyclic Type |
| title_sort | nested balanced incomplete block designs of the double cyclic type |
| topic | Nested design Incomplete block Balanced incomplete block Double cyclic |
| url | http://localhost:8080/xmlui/handle/123456789/3495 |
| work_keys_str_mv | AT sakaaj nestedbalancedincompleteblockdesignsofthedoublecyclictype AT adelekebi nestedbalancedincompleteblockdesignsofthedoublecyclictype |