Mutually disjoint designs and new 5-designs derived from groups and codes

Makoto Araya, Masaaki Harada, Vladimir D. Tonchev, Alfred Wassermann
2010 Journal of combinatorial designs (Print)  
The paper gives constructions of disjoint 5-designs obtained from permutation groups and extremal self-dual codes. Several new simple 5-designs are found with parameters that were left open in the table of 5-designs given in [10], namely, 5-(v, k, λ) designs with (v, k, λ) = (18, 8, 2m) (m = 6, 9), (19, 9, 7m) (m = 6, 9), (24, 9, 6m) (m = 3
doi:10.1002/jcd.20251 fatcat:3ek5ots3hzcxpevylb23jki3ma