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Logic Mind Technologies
Vijayangar (Near Maruthi Medicals), Bangalore-40
Ph: 8123668124 // 8123668066
High-Throughput Finite Field Multipliers Using
Redundant Basis for FPGA and ASIC
Implementations
Abstract—Redundant basis (RB) multipliers over Galois Field ( ) have gained
huge popularity in elliptic curve cryptography (ECC) mainly because of their
negligible hardware cost for squaring andmodular reduction. In this paper, we have
proposed a novel recursive decomposition algorithm for RB multiplication to
obtain high-throughput digit-serial implementation. Through efficient projection of
signal-flow graph (SFG) of the proposed algorithm, a highly regular processor-
space flow-graph (PSFG) is derived. By identifying suitable cut-sets, we have
modified the PSFG suitably and performed efficient feed-forward cut-set retiming
to derive three novel multipliers which not only involve significantly less time-
complexity than the existing ones but also require less area and less power
consumption compared with the others. Both theoretical analysis and synthesis
results confirm the efficiency of proposed multipliers over the existing ones. The
synthesis results for field programmable gate array (FPGA) and application
specific integrated circuit (ASIC) realization of the proposed designs and
competing existing designs are compared. It is shown that the proposed high-
throughput structures are the best among the corresponding designs, for FPGA and
ASIC implementation. It is shown that the proposed designs can achieve up to 94%
and 60% savings of area-delay-power product (ADPP) on FPGA and ASIC
implementation over the best of the existing designs, respectively.
SOFTWARE REQUIREMENT:
 ModelSim6.4c.
 Xilinx 9.1/13.2.
HARDWARE REQUIREMENT:
 FPGA Spartan 3.
PROJECT FLOW:
First Review:
Literature Survey
Paper Explanation
Design of Project
Project Enhancement explanation
Second Review:
Implementing 40% of Base Paper
Third Review
Implementing Remaining 60% of Base Paper with Future Enhancement (Modification)
For More Details please contact
Logic Mind Technologies
Vijayangar (NearMaruthi Medicals), Bangalore-40
Ph: 8123668124 // 8123668066
Mail: logicmindtech@gmail.com

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High throughput finite field multipliers using redundant basis for fpga and asic implementations

  • 1. Logic Mind Technologies Vijayangar (Near Maruthi Medicals), Bangalore-40 Ph: 8123668124 // 8123668066 High-Throughput Finite Field Multipliers Using Redundant Basis for FPGA and ASIC Implementations Abstract—Redundant basis (RB) multipliers over Galois Field ( ) have gained huge popularity in elliptic curve cryptography (ECC) mainly because of their negligible hardware cost for squaring andmodular reduction. In this paper, we have proposed a novel recursive decomposition algorithm for RB multiplication to obtain high-throughput digit-serial implementation. Through efficient projection of signal-flow graph (SFG) of the proposed algorithm, a highly regular processor- space flow-graph (PSFG) is derived. By identifying suitable cut-sets, we have modified the PSFG suitably and performed efficient feed-forward cut-set retiming to derive three novel multipliers which not only involve significantly less time- complexity than the existing ones but also require less area and less power consumption compared with the others. Both theoretical analysis and synthesis results confirm the efficiency of proposed multipliers over the existing ones. The synthesis results for field programmable gate array (FPGA) and application specific integrated circuit (ASIC) realization of the proposed designs and competing existing designs are compared. It is shown that the proposed high- throughput structures are the best among the corresponding designs, for FPGA and ASIC implementation. It is shown that the proposed designs can achieve up to 94% and 60% savings of area-delay-power product (ADPP) on FPGA and ASIC implementation over the best of the existing designs, respectively.
  • 2. SOFTWARE REQUIREMENT:  ModelSim6.4c.  Xilinx 9.1/13.2. HARDWARE REQUIREMENT:  FPGA Spartan 3. PROJECT FLOW: First Review: Literature Survey Paper Explanation Design of Project Project Enhancement explanation Second Review: Implementing 40% of Base Paper Third Review Implementing Remaining 60% of Base Paper with Future Enhancement (Modification) For More Details please contact Logic Mind Technologies Vijayangar (NearMaruthi Medicals), Bangalore-40 Ph: 8123668124 // 8123668066 Mail: logicmindtech@gmail.com