Sum Construction of Automorphic Symmetric Balanced Incomplete Block Designs
Date
2020Author
Otulo, Wandera Cyrilus
Muga, Z.M
Okelo, N.B
Nyakinda, J.O
Metadata
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Abstract- In this study Sum construction method of automorphic symmetric balanced incomplete block designs has been
presented in details. Efficiency of a test design used in the Sum construction of automorphic symmetric balanced
incomplete block designs has been determined alongside its existence. The process involved the application of sum
construction to give new designs of parameters D (v, b, λ1+λ2) and an application of Bruck Ryser Chwola theorem
extensively. A test design used in the sum construction method has been found to be existing with an efficiency of 77.78%.
The sum constructed automorphic symmetric balanced incomplete block designs provide more information per block than
the parent designs.