Scalable and Systolic Montgomery Multipliers over GF(2^m)
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概要
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This work presents a novel scalable and systolic Montgomerys algorithm in GF (2m). The proposed algorithm is based on the Toeplitz matrix-vector representation, which obtains the scalable and systolic Montgomery multiplier in a flexible manner, and can adapt to the required precision. Analytical results indicate that the proposed multiplier over the generic field of GF (2m) has a latency of d+n(2n+1), where n=[m/d], and d denotes the selected digital size. The latency is reduced to d+n(n+1) clock cycles when the field is constructed from generalized equally-spaced polynomials. Since the selected digital size is d≥5 bits, the proposed architectures have lower time-space complexity than traditional digit-serial multipliers. Moreover, the proposed architectures have regularity, modularity and local interconnect ability, making them very suitable for VLSI implementation.
- (社)電子情報通信学会の論文
- 2008-07-01
著者
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Lu Erl-huei
Department Of Electrical Engineering Chang Gung University
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Lee Chiou-yng
Lunghwa University Of Science And Technology
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CHEN Chin-Chin
Department of Electrical Engineering, Chang Gung University
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Chen Chin-chin
Department Of Electrical Engineering Chang Gung University
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- Scalable and Systolic Montgomery Multipliers over GF(2^m)