The usefulness of block designs in many natural and social sciences has been long astablished. In recent years, a considerable effort has been performed toward the construction of block designs. It would be of interest to construct designs using the geometric structure of a finite projective plane. In this paper by a well-known construction of Hanani connected with the idea of a Group Divisible Design we give some triplications of Steiner triple systems obtained from some simple GDD embedded in a finite projective plane.

Constructing Steiner triple systems partially embedded in a projective plane

INNAMORATI, STEFANO;
1992-01-01

Abstract

The usefulness of block designs in many natural and social sciences has been long astablished. In recent years, a considerable effort has been performed toward the construction of block designs. It would be of interest to construct designs using the geometric structure of a finite projective plane. In this paper by a well-known construction of Hanani connected with the idea of a Group Divisible Design we give some triplications of Steiner triple systems obtained from some simple GDD embedded in a finite projective plane.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/17514
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