A memory system with the linear skewing scheme has been regarded as one of suitable memory systems for a single instruction, multiple data (SIMD) architecture. The memory system supports simultaneous access n data to m memory modules within various access types with a constant interval in an arbitrary position in two dimensional data array of $M{ imes}N$. Although $m{ imes}cells$ memory cells are physically required to support logical two dimensional $M{ imes}N$ array of data by means of the memory system, at least (m-n)${ imes}cells$ memory cells remain in disuse, where cells is (M-1)/q+(N-1)/$p{ imes}{lceil}M/q{ ceil}+1$. On keeping functionalities the memory system supports, $(n{ imes}t){ imes}N/p$ out of a number of unused memory cells, where t>0, being used as local buffer memories for n processing elements is proposed in this paper.