Some transitive Steiner triple systems of Bagchi and Bagchi

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• 作者：Key ; J.D. ; Shobe ; F.D.
• 关键词：Designs ; Codes ; Finite geometries
• 刊名：Journal of Statistical Planning and Inference
• 出版年：1997
• 出版时间：March 1, 1997
• 年：1997
• 卷：58
• 期：1
• 页码：79-86
• 全文大小：391 K

文摘

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.