Abstract
This paper contains two main results: given a symmetric (v, k, λ) 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 - λ), and d is a prime power; given a symmetric (v, k, λ) 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/λ,and e is a prime power.
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Mackenzie-Fleming, K. A Recursive Construction for 2-Designs. Designs, Codes and Cryptography 13, 159–164 (1998). https://doi.org/10.1023/A:1008226328896
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DOI: https://doi.org/10.1023/A:1008226328896