There exist nonisomorphic STS(19) with equivalent point codes (2004)
AUTHORS:
Kaski Petteri
,
Östergård Patric R. J.
JOURNAL:
Journal of Combinatorial Designs
VOLUME:
12
PAGES:
443--448
URL:
http://dx.doi.org/10.1002/jcd.20007
@article{ KaOs04d, author = {Kaski, Petteri and {\"O}sterg{\aa}rd, Patric R. J.}, title = "There exist nonisomorphic {S}{T}{S}(19) with equivalent point codes", url = "http://dx.doi.org/10.1002/jcd.20007", journal = "Journal of Combinatorial Designs", number = "6", abstract = "The rows of a point by block incidence matrix of a design can be used to generate a code, the point code of the design. It is known that binary point codes of nonisomorphic Steiner triple systems of order $v$, STS($v$), are inequivalent when $v \leq 15$, but whether this also holds for higher orders has been open. In the current paper an example of two nonisomorphic STS(19) with equivalent point codes is presented.", volume = "12", year = "2004", keywords = "code equivalence, design isomorphism, point code, Steiner triple system", pages = "443--448" }