TY - JOUR
T1 - Packing designs with block size 5 and index 2
T2 - The case υ even
AU - Assaf, Ahmed M.
AU - Shalaby, Nabil
AU - Singh, L. P.S.
PY - 1993/5
Y1 - 1993/5
N2 - An (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-subsets 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 provide a powerful technique for constructing designs and solve the packing problem in the case κ = 5, λ = 2, and υ is even.
AB - An (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-subsets 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 provide a powerful technique for constructing designs and solve the packing problem in the case κ = 5, λ = 2, and υ is even.
UR - http://www.scopus.com/inward/record.url?scp=0040266769&partnerID=8YFLogxK
U2 - 10.1016/0097-3165(93)90023-2
DO - 10.1016/0097-3165(93)90023-2
M3 - Article
AN - SCOPUS:0040266769
SN - 0097-3165
VL - 63
SP - 43
EP - 54
JO - Journal of Combinatorial Theory, Series A
JF - Journal of Combinatorial Theory, Series A
IS - 1
ER -