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A novel finite field multiplier using redundant representation is proposed. The proposed architecture compares favorably to the previously similar proposals. For the class of fields that there exists a type I optimal normal basis, the proposed multiplier has lower complexity and smaller critical path delay in comparison to all the reported normal basis multipliers.
Finite field arithmetic, Redundant representation, optimal normal basis, cyclotomic field, multiplier.
Majid Ahmadi, Ashkan Hosseinzadeh Namin, Huapeng Wu, "A New Finite-Field Multiplier Using Redundant Representation", IEEE Transactions on Computers, vol. 57, no. , pp. 716-720, May 2008, doi:10.1109/TC.2007.70834
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