TY - JOUR

T1 - Packing pairs by quintuples with index 2

T2 - v odd, v ≢ 13 (mod 20)

AU - Assaf, Ahmed M.

AU - Singh, L. P.S.

PY - 1994/3/1

Y1 - 1994/3/1

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 provide a powerful technique for constructing designs and solve the packing problem with k = 5, λ = 2, and all odd numbers v, v ≢ 13 (mod 20), with the possible exception of v = 19, 27, 137, 139, 147.

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 provide a powerful technique for constructing designs and solve the packing problem with k = 5, λ = 2, and all odd numbers v, v ≢ 13 (mod 20), with the possible exception of v = 19, 27, 137, 139, 147.

UR - http://www.scopus.com/inward/record.url?scp=38149145924&partnerID=8YFLogxK

U2 - 10.1016/0012-365X(94)90249-6

DO - 10.1016/0012-365X(94)90249-6

M3 - Article

AN - SCOPUS:38149145924

SN - 0012-365X

VL - 126

SP - 1

EP - 12

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -