Abstract
A generalization of a theorem of Dehon for simple t-designs isproved. Several new families of 4- and 5-designs having certainadditional property regarding their block intersection numbersare obtained by applying this result.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
W. O. Alltop, An infinite class of 5–designs, J. Comb. Theory, Ser. A Vol. 12 (1972) pp. 390–395.
M. Dehon, An existence theorem for some simple t-designs, Discrete Math. Vol. 90 (1991) pp. 137–142.
S. S. Magliveras and T. E. Plambeck, New infinite families of simple 5–designs, J. Comb. Theory, Ser. A Vol. 44 (1987) pp. 1–5.
Tran van Trung, On the existence of an infinite family of simple 5–designs, Math. Z. Vol. 187 (1984) pp. 285–287.
Tran van Trung, On the construction of t-designs and the existence of some new infinite families of simple 5–designs, Arch. Math. Vol. 47 (1986) pp. 187–192.
Tran van Trung, Some existence theorems for t-designs, Discrete Math. Vol. 128 (1994) pp. 337–348.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Trung, T.v. A Generalization of a Theorem of Dehon for Simple t-Designs. Designs, Codes and Cryptography 9, 105–114 (1996). https://doi.org/10.1023/A:1027354310973
Issue Date:
DOI: https://doi.org/10.1023/A:1027354310973