An Improved Inequality for Balanced Incomplete Block Designs

Kageyama, S.

Kageyama, S.

Ann. Math. Statist., Tome 42 (1971) no. 6, p. 1448-1449 / Harvested from Project Euclid

Résumé

For a resolvable balanced incomplete block design (BIBD), Bose (1942) obtained an inequality $b \geqq v + r - 1$. Stanton (1957) showed that this inequality is equivalent to an inequality $r \geqq \lambda + k$. The main purpose of this note is to improve Bose's inequality to $b \geqq 2\nu + r - 2$ for a resolvable BIBD which is not affine resolvable.

Publié le : 1971-08-14
Classification:

@article{1177693259,
     author = {Kageyama, S.},
     title = {An Improved Inequality for Balanced Incomplete Block Designs},
     journal = {Ann. Math. Statist.},
     volume = {42},
     number = {6},
     year = {1971},
     pages = { 1448-1449},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177693259}
}

Kageyama, S. An Improved Inequality for Balanced Incomplete Block Designs. Ann. Math. Statist., Tome 42 (1971) no. 6, pp.  1448-1449. http://gdmltest.u-ga.fr/item/1177693259/