As a kind of public key encryption system, elliptic curve encryption is mainly compared with RSA. Because the elliptic curve encryption algorithm is based on the discrete logarithm problem of elliptic curve. Solving the elliptic curve is much more responsible than solving the general discrete logarithm problem, so the security of elliptic curve encryption is very good. So far, good attack methods can effectively crack the elliptic curve encryption. The encryption strength of elliptic curve with the length of 160 bit is equal to that of RSA with the length of 1024 bit. With the development of computer technology, RSA has been cracked to more than 5 12 bits. Generally speaking, the length of a secure RSA key should be greater than 1024 bits or even 2048 bits. But such a huge length brings a huge amount of calculation. Therefore, elliptic curve encryption algorithm should gradually replace RSA algorithm as the mainstream public key encryption method.