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Feasibility conditions for non-symmetric 3-class association schemes

โœ Scribed by R.W. Goldbach; H.L. Claasen


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
367 KB
Volume
159
Category
Article
ISSN
0012-365X

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Primitive Commutative Association Scheme
โœ Mitsugu Hirasaka ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 247 KB

Let (X, [R i ] 0 i d ) be a primitive commutative association scheme. If there is a non-symmetric relation R i with valency 3, then the cardinality of X is equal to either p or p 2 where p is an odd prime. Moreover, if |X | = p then (X, [R i ] 0 i d ) is isomorphic to a cyclotomic scheme.