High Speed Compact Elliptic Curve Cryptoprocessor for FPGA Platforms
INDOCRYPT '08 Proceedings of the 9th International Conference on Cryptology in India: Progress in Cryptology
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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In this paper, an FPGA arithmetic logic unit architecture for computing elliptic curve scalar multiplication over the binary extension field GF(2163) is presented. The proposed architecture implements a parallel version of the half-and-add method using the mixed-coordinate representation for point addition, point doubling and point halving primitives. This way, our design can perform elliptic curve point addition, point doubling and point halving efficiently in terms of area resources and timing performance. Our experimental results show that our proposed design can perform an elliptic curve scalar multiplication in about 25µS.