Akra, U. P. and Akpan, S. S. and Ugbe, T. A. and Ntekim, O. E. (2021) Finite Euclidean Geometry Approach for Constructing Balanced Incomplete Block Design (BIBD). Asian Journal of Probability and Statistics, 11 (4). pp. 47-59. ISSN 2582-0230
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Abstract
In block design, construction of Balanced Incomplete Block Design (BIBD) remained an unsolved problem in combinatorial design; also various construction techniques have been introduced to build the elements of BIBDs for specific parameters; no general method has been proposed to find a suitable structure for BIBDs. This paper aim at employing Finite Euclidean Geometry FEG (N,s) of N – dimensional space to construct balanced incomplete block design (BIBD). Also geometrical construction of FEG (2,2) BIBDs has been made. The results show that this technique proved a better method for constructing BIBD than other methods in terms of estimation of parameters to build the design structure.
| Item Type: | Article |
|---|---|
| Subjects: | GO for ARCHIVE > Mathematical Science |
| Depositing User: | Unnamed user with email support@goforarchive.com |
| Date Deposited: | 19 Jan 2023 12:15 |
| Last Modified: | 30 Dec 2023 13:26 |
| URI: | http://eprints.go4mailburst.com/id/eprint/34 |
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