Classification of (16,6,2)-designs by ovals

Roghelia, Natwar N. ; Sane, Sharad S. (1984) Classification of (16,6,2)-designs by ovals Discrete Mathematics, 51 (2). pp. 167-177. ISSN 0012-365X

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0012-365X(84)90069-4

Abstract

Using the triangular graph T(6) it is shown that up to isomorphism any (16,6,2)-design is uniquely determined by the number of ovals in it, which is 12, 28 or 60. It is shown that the (16,6,2)-design with precisely 60 ovals is embeddable in a 3-(22,6,1)-design. As a consequence the uniqueness of the 3-(22,6,1)-design is obtained.

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