2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139013The 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.12 pagesCombinatoricsRepresentation Theory05E30text