Combinatorial coverings from geometries over principal ideal rings

✍ Scribed by Yeow Meng Chee; San Ling

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 470 KB
• Volume: 7
• Category: Article
• ISSN: 1063-8539
• DOI: 10.1002/(sici)1520-6610(1999)7:4<247::aid-jcd3>3.0.co;2-w

✦ Synopsis

A t-(v, k, λ)

covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t- (v, k, λ) coverings having many interesting combinatorial properties.