On the Block Structure of Quartic Designs
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 377-389
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Raghavarao and Chandrasekhararao [3] introduced a family of PBIB designs having three associate classes known as cubic designs. In this paper a detailed analysis of the case of PBIB designs having four associate classes, which are called quartic designs, is given. Results are obtained pertaining to construction and existence of quartic designs. Moreover, using methods similar to those used by Shah [5], [6], [7], the block structure of certain quartic designs is studied.
O'Shaughnessy, C. D. On the Block Structure of Quartic Designs. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 377-389. doi: 10.4153/CMB-1971-068-3
@article{10_4153_CMB_1971_068_3,
author = {O'Shaughnessy, C. D.},
title = {On the {Block} {Structure} of {Quartic} {Designs}},
journal = {Canadian mathematical bulletin},
pages = {377--389},
year = {1971},
volume = {14},
number = {3},
doi = {10.4153/CMB-1971-068-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-068-3/}
}
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