## UCGOII Consider a fir iite module M with exactly u find k different elements x1, x2, . . . , xk out of following conditions. elements. Suppose it is possible to the u ele:men:s of 34 satisfying the (i) Among tht: k(k -I) differences 4 -x1, rf t, r; t = 1, 2,. . . , k, just ni of the non-zero el
Symmetric designs and related configurations
โ Scribed by H.J Ryser
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 539 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Ushio, K., G-designs and related designs, Discrete Mathematics 116 (1993) 2999311. This is a survey on the existence of G-designs, bipartite G-designs and multipartite G-designs. organization scheme problems about BFS2, HUBFS2, BMFSz and HUBMFS,. They can be solved by constructing (u, k, 1) K,-de
For q, an odd prime power, we construct symmetric 2q 2 2q 1Y q 2 Y 1 2 qq ร 1 designs having an automorphism group of order q that ยฎxes 2q 1 points. The construction indicates that for each q the number of such designs that are pairwise non-isomorphic is very large.
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 -