A Novel parallel gray image cryptosystem based on Hyperchaotic System and Learning with Error Post Quantum Cryptography

The scientific community has recently become more interested in post-quantum cryptography as a result of the terrible effects that effective quantum computers. All widely used public-key systems are no longer secure Because the quantum method can break the polynomial's RSA and ECC discrete logarithms. A novel parallel image cryptosystem based on a combination of Learning with Errors (LWE) post-quantum cryptography and a Hyperchaotic System is designed in this paper. The proposed cryptosystem consists of Hyperchaotic key generation and quantum image encryption/ decryption algorithms. In the proposed algorithm, the LWE algorithm was used to encrypt eight bits (pixel) at a time in parallel instead of one bit at a time in traditional LWE. In addition., all the image pixels are encrypted parallel at the same time. The input image in different sizes is initially permuted using a Hyperchaotic system then the result is substituted using LWE. Investigations have been done into the suggested system's effectiveness by ensuring its resistance to various types of attacks such as Brute-force., statistical, and Differential attacks. The results prove that the suggested method is very secure and efficient for imperceptible image communication and better image quality on the receiver side.