The Chinese remainder theorem and the prime memory system

As we know, the conflict problem is a very important problem in memory system of super computer, there are two kinds of conflict-free memory system approaches: skewing scheme approach and prime memory system approach. Previously published prime memory approaches are complex or wasting 1/p of the memory space for filling the “holes” [17], where p is the number of memory modules. In this paper, based on Chinese remainder theorem, we present a perfect prime memory system which only need to find the d Mod p without wasting any memory space and without computing the quotient.