engleski

Some Block Designs Constructed from Resolvable Designs

Let D be a resolvable 2-(v, k, l) design, and D' be a 2-(v', k', l') design, such that v' = v/k. Further, let r and r' be replication numbers of a point in D and D', respectively. Shrikhande and Raghavarao proved that then there exists a 2-(v'', k'', l'') design D'', such that v'' = v, k'' = kk'and l'' = r'l + (r-l)l'. If D' is resolvable, then D'' is also resolvable. Applying this result, we construct block designs from some series of designs. Further, we discuss a construction of resolvable 3-designs.

block design; resolvable design

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