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    Area of Science:

    • Optics
    • Cryptography
    • Information Security

    Background:

    • Optical cryptosystems are crucial for secure data transmission.
    • Vector decomposition techniques, including Equal Modulus Decomposition (EMD) and Random Modulus Decomposition (RMD), are employed in Fourier domain-based optical cryptosystems.
    • Enhancements like cascaded EMD structures aim to improve security.

    Purpose of the Study:

    • To analyze the security of optical cryptosystems utilizing vector decomposition in the Fourier domain.
    • To investigate the vulnerabilities of cascaded EMD-based cryptosystems.
    • To assess the security of RMD-based cryptosystems and propose attacks.

    Main Methods:

    • Analysis of cascaded EMD-based cryptosystems to identify security weaknesses.
    • Development and application of a chosen-plaintext attack (CPA) and a special attack for cascaded EMD systems.
    • Security analysis of RMD-based cryptosystems.
    • Proposal of a special attack for RMD systems.

    Main Results:

    • The cascaded EMD-based cryptosystem, despite an additional EMD structure, does not increase private keys, making it vulnerable to CPA and special attacks.
    • The RMD technique improves security by using unequal moduli, but it is still susceptible to attacks where ciphertext reveals plaintext information without private keys.
    • This research demonstrates the first successful attacks on both cascaded EMD and RMD-based optical cryptosystems.

    Conclusions:

    • Existing vector decomposition techniques in optical cryptosystems, including cascaded EMD and RMD, possess exploitable security flaws.
    • The proposed attacks highlight critical vulnerabilities that must be addressed for robust optical data security.
    • Further research is needed to develop more secure optical cryptosystem designs.