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A High-Performance and Low-Cost Montgomery Modular Multiplication Based on Redundant Binary Representation
Ist Teil von
IEEE transactions on circuits and systems. II, Express briefs, 2021-07, Vol.68 (7), p.2660-2664
Ort / Verlag
New York: IEEE
Erscheinungsjahr
2021
Quelle
IEEE/IET Electronic Library (IEL)
Beschreibungen/Notizen
In this brief, Redundant Binary Representation (RBR) is applied in Montgomery modular multiplication (MMM) to eliminate the long carry chain and realize parallel computation. A novel MMM algorithm based on RBR is proposed. Based on the proposed algorithm, different sizes of high-performance and low-cost Montgomery multipliers are implemented in TSMC CMOS process technology. The experimental results demonstrate that our design has significant advantages in terms of performance, area and Area-Time-Product over previous researches. It's worth mentioning that our 8192-bit Montgomery multiplier (TMSC 65nm) with 603MHz working frequency and 878.1K equivalent gates can complete the MMM in only 3403ns.