Association scheme is a structure on a finite set that has some special relations among elements in the set. These relations are usually hidden in other relations, so how to derive them out is a problem. The paper giv...Association scheme is a structure on a finite set that has some special relations among elements in the set. These relations are usually hidden in other relations, so how to derive them out is a problem. The paper gives a constructing method of mending parameters of the association schemes, and a new family of association schemes is obtained： quasiFmetric association scheme.展开更多
Many advances have been made in respect of the construction of PBIB designs by using finite geometries. Usually, we construct the association scheme by taking as a set of treatments a transitive set of subspaces of va...Many advances have been made in respect of the construction of PBIB designs by using finite geometries. Usually, we construct the association scheme by taking as a set of treatments a transitive set of subspaces of various finite geometries (symplectic, unitary and orthogonal geometries) under the corresponding classical groups (symplectic, unitary and展开更多
文摘Association scheme is a structure on a finite set that has some special relations among elements in the set. These relations are usually hidden in other relations, so how to derive them out is a problem. The paper gives a constructing method of mending parameters of the association schemes, and a new family of association schemes is obtained： quasiFmetric association scheme.
基金Project supported by the National Natural Science Foundation of China.
文摘Many advances have been made in respect of the construction of PBIB designs by using finite geometries. Usually, we construct the association scheme by taking as a set of treatments a transitive set of subspaces of various finite geometries (symplectic, unitary and orthogonal geometries) under the corresponding classical groups (symplectic, unitary and
