Then we show an algorithm design of the elliptic curve crypto based on galois field . as a main part , the design theory and concrete solution of it are presented step by step , ic chip design method for implementation of the algorithm is described in detail 设计完成了一种基于有限域的椭圆曲线加密算法，主要包括适合于168bit椭圆曲线加密的有限域乘法、加法、除法器的实现； 4
Implement a digital signature scheme based on elliptic curve cryptosystem . the safety of this scheme is based on the elliptic curve discrete logarithm of non - supersingular elliptic curve over finit field , which has no efficient attack up to now 实现了一种基于椭圆曲线密码体制的数字签名方案。这种方案是建立在目前还没有有效攻击方法的有限域上非超奇异椭圆曲线离散对数问题之上的。
Our algorithm is easy to implement in both hardware and software , works for any elliptic curve over finite field f2m ， requires no precomputed multiples of a point , needs less memory , and is faster on average than the addition - subtraction method 该算法易于软硬件实现，可应用于有限域f2m上的任意一条椭圆曲线，不需要进行点的倍加的预计算，占用内存少，运行速度平均上比“加减法”算法更快。
