Elliptic curves cryptosystem implementation based on a look-up table sharing scheme

Projective point elliptic curve cryptography (ECC) involves many look-up table-based field multiplications. In this paper, a novel lookup table sharing scheme is proposed to significantly reduce the number of the field multiplications and number of lookup tables. By requiring much less lookup table generation time, the proposed system offers high-speed performance for hardware realizations. Its application in a reconfigurable PC-FPGA platform is investigated, which can efficiently handle requests for different ECC key length and curves and is useful for many computer network applications