Through the finite domain multiplier design based on the polynomial multiplication theory in finite domain, a new simple multiplication algorithm in finite domain is introduced.
采用基于有限域中多项式乘法理论的快速有限域乘法器的设计，得到了简单的有限域上乘积运算算法。
2
The finite field arithmetic, elliptic curve cryptography (ECC) and the finite field multiplier are investigated in this thesis.
本论文研究的主要内容是有限域算术、椭圆曲线加密算法和有限域乘法器。
3
In this thesis, the design and FPGA implementation result of a finite field polynomial multiplier is presented, whose arithmetic architecture is based on the number theoretic transform.