A well-known problem in Design Theory is the study of the possible existence of blocking sets in Steiner systems. In this paper, we introduce the concept of perfect blocking sets in G-designs and determine all the possible v for which there exist P3-designs having perfect blocking sets.

Perfect blocking sets in P3-designs

Bonacini Paola;Gionfriddo Mario;Marino Lucia
2019

Abstract

A well-known problem in Design Theory is the study of the possible existence of blocking sets in Steiner systems. In this paper, we introduce the concept of perfect blocking sets in G-designs and determine all the possible v for which there exist P3-designs having perfect blocking sets.
Blocking sets; Transversals; P3–designs.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/365662
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