Abstract: Many applications require high computational density of the system,the computational density here refers to the computational power of a system in a certain volume or area.This is why a large number of distributed computing such as grid computing and cloud computing cannot completely replace supercomputing.Supercomputers are also widely used in emerging fields.Academician Chen Zuoning pointed out that the United States is developing an exascale supercomputer with a new advanced architecture (probably not a classical one),and China is also actively developing its own exascale supercomputer.Interconnection network is an important part of supercomputer architecture.Academician Chen pointed out that interconnection network is deci-sive to the performance-price ratio of the system.In this paper,a Cartesian product of modulo p residual class addition groups model for interconnection networks was designed,which can be used to characterize well-known interconnection networks such as hypercube and folded hypercube.More importantly,many new interconnection networks have been designed using this model.These new interconnection networks have their own characteristics and greatly enrich the seed bank of interconnection networks.

Key words: Cartesian product, Exascale supercomputer, Folded hypercube, Hypercube, Interconnection network, Model, Modulo p residual class addition group