Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: At ACISP 2000, H. Yoo etc. proposed a public key cryptosystem using matrices over a ring, which was analyzed using lattice basis reduction algorithms by Youssef etc. at ACISP 2001. , another attack, namely Diophantine approximation attack, is presented. It is shown that the decryption of the cryptosystem can be transformed into solving the simultaneous Diophantine approximation problem, which can be approximated by lattice basis reduction algorithms. So  heuristically explain that the scheme is insecure. Furthermore, our new attack is more general than lattice attack.
['Wang Baocang', 'Hu Yupu']
I am writing a research paper on a idea Diophantine approximation attack on a fast public key cryptosystem
[{"from": "human", "value": "I am writing a research paper on a idea Diophantine approximation attack on a fast public key cryptosystem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: At ACISP 2000, H. Yoo etc. proposed a public key cryptosystem using matrices over a ring, which was analyzed using lattice basis reduction algorithms by Youssef etc. at ACISP 2001. , another attack, namely Diophantine approximation attack, is presented. It is shown that the decryption of the cryptosystem can be transformed into solving the simultaneous Diophantine approximation problem, which can be approximated by lattice basis reduction algorithms. So  heuristically explain that the scheme is insecure. Furthermore, our new attack is more general than lattice attack."}]