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本文主要研究有限域运算算法和椭圆曲线数乘运算算法。
The finite field arithmetic, elliptic curve scalar multiplication and the related algorithms are investigated in this dissertation.
有限域运算的实现中模乘运算使用改进的串行结构以达到面积与速度的合理匹配。
The implementation of operators for modular multiplication over the Finite Fields adopts an improved serial structure, considering the trade-off between size and speed.
在有限域的基本运算中，乘法逆元的计算是最费时间的运算。
Among the basic arithmetic operations over finite fields, the computation of multiplicative inverse is the most time consuming operation.
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