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Customizable elliptic curve cryptosystems

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4 Author(s)
Cheung, R.C.C. ; Dept. of Comput., Imperial Coll. London, UK ; Telle, N.J. ; Luk, W. ; Cheung, P.Y.K.

This paper presents a method for producing hardware designs for elliptic curve cryptography (ECC) systems over the finite field GF(2/sup m/), using the optimal normal basis for the representation of numbers. Our field multiplier design is based on a parallel architecture containing multiple m-bit serial multipliers; by changing the number of such serial multipliers, designers can obtain implementations with different tradeoffs in speed, size and level of security. A design generator has been developed which can automatically produce a customised ECC hardware design that meets user-defined requirements. To facilitate performance characterization, we have developed a parametric model for estimating the number of cycles for our generic ECC architecture. The resulting hardware implementations are among the fastest reported: for a key size of 270 bits, a point multiplication in a Xilinx XC2V6000 FPGA at 35 MHz can run over 1000 times faster than a software implementation on a Xeon computer at 2.6 GHz.

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Very Large Scale Integration (VLSI) Systems, IEEE Transactions on  (Volume:13 ,  Issue: 9 )