【摘要】 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。在此基础上，讨论了该体制的安全性问题。通过对几种破译该体制的攻击途径的分析，证明了Ｌｕｃａｓ 体制是一种建立在两种密码假设基础之上的公钥密码体制，从而保证了很高的有效性和安全性更多还原

【Abstract】 Lucas public key cryptosystem combines effectively Lucas sequence of Number theory with public key cryptosystem. Based on that, system’s security is discussed in this paper. By discussing several attack ways which possibly attack this public key system, it is improved that the Lucas system is one public key cryptosystem based on two assumption. The effectiveness and security can be presented by the system.更多还原