New method of attack and security enhancement on an asymmetric cryptosystem based on equal modulus decomposition

Area of Science:

• Quantum Cryptography
• Optical Security Systems
• Information Security

Background:

• A recent asymmetric cryptosystem utilizing coherent superposition and equal modulus decomposition was thought to be secure.
• However, its vulnerability to novel attack vectors has been identified.

Purpose of the Study:

• To demonstrate the vulnerability of the existing asymmetric cryptosystem to a new attack.
• To propose a novel, security-enhanced asymmetric cryptosystem resistant to known and potential attacks.

Main Methods:

• A new attack exploiting phase retrieval algorithms was designed to extract the private key.
• A new asymmetric cryptosystem was developed using random decomposition and a 4f optical system.
• The proposed system implements a trapdoor one-way function through random decomposition.

Main Results:

• The newly designed attack successfully retrieves the private key of the original cryptosystem.
• The proposed security-enhanced cryptosystem demonstrates robustness against various attacks.
• Numerical simulations confirm the feasibility and resilience of the enhanced system.

Conclusions:

• The original asymmetric cryptosystem is vulnerable to sophisticated attacks.
• The proposed random decomposition technique and 4f optical system effectively enhance cryptosystem security.
• The enhanced cryptosystem maintains asymmetric properties while offering improved protection.