Duals of Partially Balanced Incomplete Block Designs and some Nonexistence Theorems
Raghavarao, Damaraju
Ann. Math. Statist., Tome 37 (1966) no. 6, p. 1048-1052 / Harvested from Project Euclid
In this note, we give simpler proofs of results obtained, regarding the necessary conditions for existence of certain unsymmetrical PBIB designs having group divisible, triangular and $L_i$ association schemes, in [5]. We also give simpler proofs of the necessary conditions for the existence of affine $\alpha$-resolvable $GD(m, n), T(n), L_i(s)$ and BIB designs obtained in [6]. We follow the notation of these two papers throughout this note. We finally obtain necessary conditions for the dual of a design $D$, to be a specified design $E$.
Publié le : 1966-08-14
Classification: 
@article{1177699387,
     author = {Raghavarao, Damaraju},
     title = {Duals of Partially Balanced Incomplete Block Designs and some Nonexistence Theorems},
     journal = {Ann. Math. Statist.},
     volume = {37},
     number = {6},
     year = {1966},
     pages = { 1048-1052},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177699387}
}
Raghavarao, Damaraju. Duals of Partially Balanced Incomplete Block Designs and some Nonexistence Theorems. Ann. Math. Statist., Tome 37 (1966) no. 6, pp.  1048-1052. http://gdmltest.u-ga.fr/item/1177699387/