TY - JOUR
AU - Ghosh, Debashis
AU - Dey, Lakshmi Kanta
PY - 2015/09/30
Y2 - 2022/10/03
TI - On some parametric classifications of quasi-symmetric 2-designs
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 46
IS - 3
SE - Papers
DO - 10.5556/j.tkjm.46.2015.1755
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1755
SP - 269-280
AB - Quasi-symmetric $2$-designs with block intersection numbers $x$ and $y$, where $y=x+4$ and $x > 0$ are considered. If $D(v, b, r, k, \lambda; x, y)$ is a quasi-symmetric $2$-design with above condition, then it is shown that the number of such designs is finite, whenever $3\leq x \leq 68$. Moreover, the non-existence of triangle free quasi-symmetric $2$-designs under these parameters is obtained.
ER -