Low complexity semi–systolic multiplication architecture over GF(2m)

Se-Hyu Choi, Keon-Jik Lee · IEICE Electronics Express · 2014

This paper presents a semi-systolic Montgomery multiplier based on the redundant basis representation of the finite field elements. The proposed multiplier has less hardware and time complexities compared to related multipliers. We also propose a serial systolic Montgomery multiplier that can be applied well in space-limited hardware. Furthermore, a simple inversion based on the proposed scheme is presented.

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