New and improved architectures for Montgomery modular multiplication
Mobile Networks and Applications
Low complexity digit serial systolic montgomery multipliers for special class of GF(2m)
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Low-power and high-speed design of a versatile bit-serial multiplier in finite fields GF(2m)
Integration, the VLSI Journal
Computers and Electrical Engineering
Utilization of Pipeline Technique in AOP Based Multipliers with Parallel Inputs
Journal of Signal Processing Systems
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This paper proposes a unified and reconfigurable Montgomery multiplier architecture which can operate in both primary GF(p) and binary extension fields GF(2^n). The multiplier provides efficient execution of Montgomery multiplication in either field for different operand lengths. It supports any operand length 'n', 1\le n \le N where the upper value of N is application dependent. The final result is obtained in 'n+2' clock cycles for either field. Propagation delay of the design is investigated and found to be comparable with the existing unified multiplier architectures while providing reconfigurability at the same time. The proposed architecture has high order of flexibility and low hardware complexity with critical path delay independent of operand length. The multiplier can find application in, for example, Elliptic curve cryptographic(ECC) processors.