An infinite family of (simple) 6‐designs

Authors

Donald L. Kreher, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1993

Department

Department of Mathematical Sciences

Abstract

A simple 6‐(22,8,60) designs is exhibited. It is then shown using Qui‐rong Wu's generalization of a result of Luc Teirlinck that this design together with our 6‐(14,7,4) design implies the existence of simple 6‐(23 + 16m,8,4(m + 1)(16m + 17)) designs for all positive integers m. All the above mentioned designs are halvings of the complete design.

Publisher's Statement

© 1993 John Wiley & Sons, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.3180010403

Publication Title

Journal of Combinatorial Designs

Recommended Citation

Kreher, D. L. (1993). An infinite family of (simple) 6‐designs. Journal of Combinatorial Designs, 1(4), 277-280. http://doi.org/10.1002/jcd.3180010403
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3716