TY - JOUR
T1 - Packing designs with block size 5 and indexes 8, 12, 16
AU - Assaf, Ahmed M.
AU - Shalaby, Nabil
PY - 1992/1
Y1 - 1992/1
N2 - A (υ, κ, λ) packing design of order υ, block size κ, and index λ is a collection of κ-element subsets, called blocks of a set V such that every 2-subset of V occurs in at most λ blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we solve the packing problem with κ = 5, λ = 8, 12, 16, and all positive integers υ with the possible exceptions of (υ, λ) = (19, 16) (22, 16) (24, 16) (27, 16) (28, 12).
AB - A (υ, κ, λ) packing design of order υ, block size κ, and index λ is a collection of κ-element subsets, called blocks of a set V such that every 2-subset of V occurs in at most λ blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we solve the packing problem with κ = 5, λ = 8, 12, 16, and all positive integers υ with the possible exceptions of (υ, λ) = (19, 16) (22, 16) (24, 16) (27, 16) (28, 12).
UR - http://www.scopus.com/inward/record.url?scp=44049124869&partnerID=8YFLogxK
U2 - 10.1016/0097-3165(92)90095-C
DO - 10.1016/0097-3165(92)90095-C
M3 - Article
AN - SCOPUS:44049124869
SN - 0097-3165
VL - 59
SP - 23
EP - 30
JO - Journal of Combinatorial Theory, Series A
JF - Journal of Combinatorial Theory, Series A
IS - 1
ER -