We improve the constructions of S. Bagchi and B. Bagchi for Steiner 2-designs which are point-regular over the additive group of a Galois ring. As a consequence, we get new cyclotomic conditions leading to point-regular Steiner 2-designs with block size $k \in {7,9,11,13,17}$.
Cyclotomic conditions leading to new Steiner 2-designs / Buratti, Marco. - In: FINITE FIELDS AND THEIR APPLICATIONS. - ISSN 1071-5797. - 3:(1997), pp. 300-313.
Cyclotomic conditions leading to new Steiner 2-designs
BURATTI, Marco
1997
Abstract
We improve the constructions of S. Bagchi and B. Bagchi for Steiner 2-designs which are point-regular over the additive group of a Galois ring. As a consequence, we get new cyclotomic conditions leading to point-regular Steiner 2-designs with block size $k \in {7,9,11,13,17}$.File allegati a questo prodotto
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