t-designs in classical association schemes
โ Scribed by Dennis Stanton
- Publisher
- Springer Japan
- Year
- 1986
- Tongue
- English
- Weight
- 200 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We describe fission schemes of most known classical self-dual association schemes, such as the Hamming scheme H(n, q) when q is a prime power. These fission schemes are themselves self-dual, with the exception of certain quadratic forms schemes in even characteristic.
## Let F 2ฮฝ q denote a 2ฮฝ-dimensional vector space over a finite field F q with a non-degenerate form of Witt index ฮฝ, and G denote the corresponding isometry group. Let W be a fixed maximal flat, and ฮ be the set of all the minimal flats not contained in W . The set-wise stabilizer of W in G acts
We characterize that the image of the embedding of the Q-polynomial association scheme into the first eigenspace by primitive idempotent E 1 is a spherical t-design in terms of the Krein numbers. Furthermore, we show that the strengths of Pand Q-polynomial schemes as spherical designs are bounded by