Miscellaneous classification results for 2-designs (2004)
AUTHORS:
Kaski Petteri
,
Östergård Patric R. J.
JOURNAL:
Discrete Mathematics
VOLUME:
280
PAGES:
65--75
URL:
http://dx.doi.org/10.1016/j.disc.2003.07.002
@article{ KaOs04b, author = {Kaski, Petteri and {\"O}sterg{\aa}rd, Patric R. J.}, title = "Miscellaneous classification results for 2-designs", url = "http://dx.doi.org/10.1016/j.disc.2003.07.002", journal = "Discrete Mathematics", number = "1--3", abstract = "An orderly algorithm combined with clique searching is used to show that there are---up to isomorphism, in all cases---325,062 resolvable $2$-$(16,4,2)$ designs with 339,592 resolutions, 19,072,802 $2$-$(13,6,5)$ designs, and 15,111,019 $2$-$(14,7,6)$ designs. Properties of the classified designs are further discussed.", volume = "280", year = "2004", keywords = "balanced incomplete block design, derived design, orderly algorithm, residual design, resolvable design", pages = "65--75" }