@article{oai:soar-ir.repo.nii.ac.jp:00011746, author = {Hanaki, Akihide and Ponomarenko, Ilia}, issue = {4}, journal = {JOURNAL OF ALGEBRAIC COMBINATORICS}, month = {Jun}, note = {The well-known absolute bound condition for a primitive symmetric association scheme (X,S) gives an upper bound for |X| in terms of |S| and the minimal non-principal multiplicity of the scheme. In this paper we prove another upper bounds for |X| for an arbitrary primitive scheme (X,S). They do not depend on |S| but depend on some invariants of its adjacency algebra KS where K is an algebraic number field or a finite field., Article, JOURNAL OF ALGEBRAIC COMBINATORICS. 29(4):447-456 (2009)}, pages = {447--456}, title = {A modular absolute bound condition for primitive association schemes}, volume = {29}, year = {2009} }