Transverse quadruple systems with five holes

Document Type

Article

Publication Date

7-2007

Department

Department of Mathematical Sciences

Abstract

Transverse Steiner quadruple systems with five holes are either of type g5 or g4u1. We concentrate on the systems of type g4u1 and settle existence except when g ≡ u ≡ 2 (mod 4) and all except 40 parameter situations when g ≡ u + 2 ≡ 0 (mod 4). The question of existence for transverse quadruple systems of type g4u1 with index λ > 1 is completely solved for all λ ≥ 13 and λ ∈ {4, 6, 8, 9, 10, 12}.

Publisher's Statement

© 2006 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.20114

Erratum: Transverse quadruple systems with five holes DOI: https://doi.org/10.1002/jcd.20238

Publication Title

Journal of Combinatorial Designs

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