GF(p)上安全椭圆曲线及其基点的选取
The selection of secure elliptic curves and their base points over GF(p)
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摘要: 椭圆曲线密码体制的研究与实现已逐渐成为公钥密码体制研究的主流,适用于密码的安全椭圆曲线及其基点的选取,是椭圆曲线密码实现的基础。在该文中,作者讨论了大素数域上的安全椭圆曲线的选取算法和基点的选取,并借助于MIRACL系统利用标准C语言对它们成功实现。Abstract: The study and realization of elliptic curve cryptography have become to be the mainstream of the study on public cryptography, and the selection of secure elliptic curves in cipher and their base points is the basis of the implementing of the elliptic curves cryptography. In this paper, the selection algorithm of the secure elliptic curves and their base point over large prime number is discussed, further more, the algorithm is implemented successfully in C language using the MIRACL system.
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