An Efficient Finite Field Multiplier Using Redundant Representation

  • Authors:
  • Ashkan Hosseinzadeh Namin;Huapeng Wu;Majid Ahmadi

  • Affiliations:
  • University of Windsor;University of Windsor;University of Windsor

  • Venue:
  • ACM Transactions on Embedded Computing Systems (TECS)
  • Year:
  • 2012

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Abstract

An efficient word-level finite field multiplier using redundant representation is proposed. The proposed multiplier has a significantly higher speed, compared to previously proposed word-level architectures using either redundant representation or optimal normal basis type I, at the expense of moderately higher area complexity. Furthermore, the new design out-performs other similar proposals when considering the product of area and delay as a measure of performance. ASIC Realization of the proposed design using TSMC’s .18 um CMOS technology for the binary field size of 163 is also presented.