The authors have proposed a cyclic vector multiplication algorithm abbreviated as CVMA that is flexible to the parameters of extension field, that is extension degree and charasteristic. For the hardware implementation of CVMA, the authors have improved the double loop structure of CVMA to a single loop one, and it has been presented at SITA2010. However, it has a problem that it needs a lot of memory. Thus, this paper proposes a method to save the memory use of the single loop version of CVMA.