Inequalities for quasi-symmetric designs
โ Scribed by A.R Calderbank
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 498 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The article is concerned with a characterization of quasi-symmetric (QS) designs with intersection numbers 0 and y. It uses the idea of a good block. Such a block G has the property that for any block B with IG n B J = y, every point is on a block containing G n B. It is proved that if a QS design I
obtain a new for the of a -(u, A) design the block intersection st, sZ, . . , s, satisfy sr -sZ-. . . = s, = s(mod 2). This condition eliminates quasi-symmetric 2 -(20,10,18) and 2 -(60,30,58) designs. Quasi-symmetric 2 -(20,8,14) designs are eliminated by an ad hoc coding theoretic argument. A 2 -