Low area Elliptic Curve arithmetic unit

In this paper, a generic elliptic curve (EC) arithmetic unit with high flexibility and small chip covered area is proposed. This EC arithmetic unit is based on the one dimensional systolic architectural realization of a proposed modified multiplication - inversion algorithm that through appropriate initialization uses the algorithmic structure of inversion to also perform multiplication. The proposed architecture is realized on FPGA for GF(2¹⁶³) and is compared with similar up-to-date designs. The proposed EC arithmetic unit has very small chip covered area without any serious penalty in calculation delay and since is designed on the affine coordinate plane, it offers a good side channel attack resistance base for further optimizations on this field.