TY - JOUR
T1 - On packing designs with block size 5 and index 4
AU - Assaf, Ahmed M.
AU - Hartman, Alan
PY - 1990/1/15
Y1 - 1990/1/15
N2 - A (v,k,λ) packing design of order v, block size k, and index λ is a collection of k-element subsets, called blocks, of a v-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 k=5, λ=4, and all positive integers v.
AB - A (v,k,λ) packing design of order v, block size k, and index λ is a collection of k-element subsets, called blocks, of a v-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 k=5, λ=4, and all positive integers v.
UR - http://www.scopus.com/inward/record.url?scp=38249019875&partnerID=8YFLogxK
U2 - 10.1016/0012-365X(90)90027-F
DO - 10.1016/0012-365X(90)90027-F
M3 - Article
AN - SCOPUS:38249019875
SN - 0012-365X
VL - 79
SP - 111
EP - 121
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 2
ER -