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Some transitive Steiner triple systems of Bagchi and Bagchi

✍ Scribed by J.D. Key; F.D. Shobe

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 388 KB
Volume: 58
Category: Article
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(96)00061-4

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✦ Synopsis

We show that the class of Steiner triple systems on 3 d points defined in Bagchi and Bagchi (J. Combin. Theory Ser. A 52 (1989) 51-61) closely resemble the systems defined through the designs of points and lines of an affine geometry of dimension d over F3 in that they have a rich collection of hyperplanes and subspaces, all of which are designs of the same Bagchi-Bagchi type. The ternary codes and the automorphism groups of these designs can also be fully described.

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