Abstract-Recently, several hardware implementations for elliptic curve cryptography have been proposed but few of them considered the dual-field functions, real-time requirement, hardware efficiency, and power analysis resistance as a whole. In this paper, a new unified division algorithm and a free pre-computation scheme are introduced to accelerate the GF (p)/GF (2 n ) elliptic curve arithmetic functions. The overall hardware is optimized by a very compact Galois field arithmetic unit with the fully pipelined technique. Moreover, a key-blinded technique with regular calculation is designed against the power analysis attacks without degrading clock speed. After fabricated in 90nm CMOS 1P9M process, our ECC processor occupied 0.55mm 2 can perform the scalar multiplication in 19.2ms over GF (p521) and 8.2ms over GF (2 409 ), respectively.
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