Lucas公钥密码体制是数论中的Lucas序列与公钥密码体制思想的有效结合。本文比较完善的描述了Lucas公钥密码体制及其原理,在此基础上,讨论了该体制的安全性、速度、周期特性等性能问题,通过与RSA公钥密码体制的对比,阐述了两者互补的优缺点,工作对Lucas公钥密码体制是一个较好的总结与探索,具有一定的实际意义。 Lucas public key cryptosystem is an effective combination of Lucas sequence and public key cryptosystem in number theory. This paper describes the Lucas public key cryptosystem and its principle better. On this basis, it discusses the performance issues such as the security, speed and periodicity of the system. By comparing with RSA public key cryptosystem, The advantages and disadvantages of each other, the work of Lucas public key cryptosystem is a better summary and exploration, with some practical significance.