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t-designs in classical association schemes

โœ Scribed by Dennis Stanton


Publisher
Springer Japan
Year
1986
Tongue
English
Weight
200 KB
Volume
2
Category
Article
ISSN
0911-0119

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๐Ÿ“œ SIMILAR VOLUMES


Fissions of Classical Self-Dual Associat
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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.

Association schemes coming from minimal
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## 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

On spherical designs obtained from Q-pol
โœ Sho Suda ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 126 KB

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