A Recursive Construction for 2-Designs |
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Authors: | Kirsten Mackenzie-Fleming |
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Affiliation: | (1) Central Michigan University, Mount Pleasant, MI, 48859 |
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Abstract: | This paper contains two main results: given a symmetric (v, k, ) design, D, and a resolvable design which has the parameters of a residual design of D, there exists a symmetric (dv + 1, v, k) design, where d = (v - k)/(k - ), and d is a prime power; given a symmetric (v, k, ) design, D, and a resolvable design with the parameters of a derived design of D, there exists a 2 - (ek + v, 2k, k) design, where e = k/,and e is a prime power. |
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Keywords: | 2-design symmetric residual derived recursive construction resolvable |
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