There Exists No (15,5,4) RBIBD (2001)
AUTHORS:
Kaski Petteri
,
Östergård Patric R. J.
JOURNAL:
Journal of Combinatorial Designs
VOLUME:
9
PAGES:
357--362
URL:
http://dx.doi.org/10.1002/jcd.1016
@article{ KaOs01, author = {Kaski, Petteri and {\"O}sterg{\aa}rd, Patric R. J.}, title = "There Exists No (15,5,4) {R}{B}{I}{B}{D}", url = "http://dx.doi.org/10.1002/jcd.1016", journal = "Journal of Combinatorial Designs", number = "5", abstract = "An $(n,M,d)_q$ code is a $q$-ary code of length $n$, cardinality $M$, and minimum distance $d$. We show that there exists no $(15,5,4)$ resolvable balanced incomplete block design (RBIBD) by showing that there exists no (equidistant) $(14,15,10)_3$ code. This is accomplished by an exhaustive computer search using an orderly algorithm combined with a maximum clique algorithm.", volume = "9", year = "2001", keywords = "equidistant code, maximum clique, orderly algorithm, resolvable balanced incomplete block design", pages = "357--362" }