Research on Security Analysis of Public Key Cryptosystems

我们的研究目标是建立公钥密码系统的安全分析理论。我们采用格理论对其进行分析。我们成功地获得了解决RSA方案和背包方案等公钥密码系统相关问题的更精确的条件。然后，我们成功地为这些方案提供了更准确的安全性分析。这些结果使我们能够更安全、更充分地使用加密技术。

Our research goal is to establish theories on security analysis of public key cryptosystems. We employ the lattice theory for its analysis. We succeeded in obtaining more accurate conditions for solving some problems related to public key cryptosystems such as RSA scheme and knapsack scheme. Then, we succeeded in providing more accurate security analysis for such schemes. These results enable us to use cryptographic technologies more securely and adequately.