Bush-type Hadamard matrices and symmetric designs
โ Scribed by Zvonimir Janko; Hadi Kharaghani; Vladimir D. Tonchev
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 94 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A nonsymmetric Bush-type Hadamard matrix of order 36 is constructed which leads to two new infinite classes of symmetric designs with parameters: where m is any positive integer.
## Abstract We investigate signings of symmetric GDD($16 \times 2^i$, 16, $2^{4-i}$)s over $Z\_2$ for $1 \le i \le 3$. Beginning with $i=1$, at each stage of this process a signing of a GDD($16 \times 2^i$, 16, $2^{4-i}$) produces a GDD($16 \times 2^{i+1}$, 16, $2^{4-i-1}$). The initial GDDs ($i=1$
A block negacyclic Bush-type Hadamard matrix of order 36 is used in a symmetric BGW (26, 25, 24) with zero diagonal over a cyclic group of order 12 to construct a twin strongly regular graph with parameters v=936, k=375, l=m=150 whose points can be partitioned in 26 cocliques of size 36. The same Ha
This paper contains a discussion of cocyclic Hadamard matrices, their associated relative difference sets, and regular group actions. Nearly all central extensions of the elementary abelian 2-groups by Z 2 are shown to act regularly on the associated group divisible design of the Sylvester Hadamard
## Abstract For Abstract see ChemInform Abstract in Full Text.