GF（2^m）上自适应正规基乘法器的FPGA实现

FPGA Implementation of Self-Adaptive Normal Basis Multiplier in GF：2^m）

本文从实际应用出发,研究了GF(2m)上基于正规基的乘法运算的FPGA的实现。采用w-SMPOⅡ算法,FPGA实现了任意域长m上的任意字长w的乘法器。并给出了几个域上的乘法器的面积和速度的比较分析。

In this paper, we study the implementation of the Normal Basis Multiplier in GF：2^m） by the FPGA from practical aspect. The paper adopted w- SMPOⅡ algorithm, implemented multiplier for arbitrary words on arbitrary binary finite fields. the analysis of the multipliers with respect to area and performance is also provided.