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Mathematical Problems in Engineering
Volume 2013, Article ID 675161, 8 pages
Research Article

Reconfigurable Architecture for Elliptic Curve Cryptography Using FPGA

Department of Electronics and Communication Engineering, PSNA College of Engineering and Technology, Dindigul-624 622, Tamil Nadu, India

Received 5 April 2013; Accepted 4 July 2013

Academic Editor: William Guo

Copyright © 2013 A. Kaleel Rahuman and G. Athisha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The high performance of an elliptic curve (EC) crypto system depends efficiently on the arithmetic in the underlying finite field. We have to propose and compare three levels of Galois Field , , and . The proposed architecture is based on Lopez-Dahab elliptic curve point multiplication algorithm, which uses Gaussian normal basis for field arithmetic. The proposed is based on an efficient Montgomery add and double algorithm, also the Karatsuba-Ofman multiplier and Itoh-Tsujii algorithm are used as the inverse component. The hardware design is based on optimized finite state machine (FSM), with a single cycle 193 bits multiplier, field adder, and field squarer. The another proposed architecture is based on applications for which compactness is more important than speed. The FPGA’s dedicated multipliers and carry-chain logic are used to obtain the small data path. The different optimization at the hardware level improves the acceleration of the ECC scalar multiplication, increases frequency and the speed of operation such as key generation, encryption, and decryption. Finally, we have to implement our design using Xilinx XC4VLX200 FPGA device.