Cyclotomic conditions leading to new Steiner 2-designs

DOI10.1006/ffta.1997.0187zbMath0906.05007OpenAlexW2009572298MaRDI QIDQ1266405

Marco Buratti

Publication date: 1 February 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1997.0187

zbMATH Keywords

group of automorphismsrelative difference familySteiner 2-designscyclotomic conditions

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Cyclotomy (11T22)

Related Items (6)

New 2-designs from strong difference families ⋮ Multiple factorizations of cyclic groups ⋮ Constructions for point-regular linear spaces ⋮ Some 20-regular CDP(5,1;20\(u\)) and their applications ⋮ New quasi-symmetric designs by the Kramer-Mesner method ⋮ Super-regular Steiner 2-designs

Cites Work

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• Designs from pairs of finite fields. I: A cyclic unital U(6) and other regular Steiner 2-designs
• Note on a question by S. Bagchi and B. Bagchi
• A survey of partial difference sets
• On Cyclic Steiner 2-Designs
• A packing problem its application to Bose's families
• Improving two theorems of bose on difference families
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS
• Splittings of Abelian groups by integers

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