A simple proof that all 1-designs exist
✍
David Billington
📂
Article
📅
1982
🏛
Elsevier Science
🌐
English
⚖ 68 KB
A short and elementary proof is given of the known result that a 1-(v,/~, r) design with b blocks exists if and only if vr = bk and b <~ (~). A 1-(v, k, r) design is a set of b k-sets, called blocks, chosen from a v-set, say V, so that no two blocks are the same and each clement of V occurs exactly