Hierarchical security system using real-valued data and orthogonal code in Fourier domain

We propose a novel hierarchical encryption scheme using orthogonal code in Fourier domain and decryption based on interferometer system. The proposed system is composed of hierarchical ciphertexts with positive real values which can be applied for practical transmission such as Internet, and decryption keys with real valued function which has orthogonal characteristic in the decryption system. Since the original information is encrypted on the Fourier plane, the proposed encryption is more tolerant to loss of key information by scratching or cutting than encryption in a spatial domain. The resulting image using Fourier transform and an interferometer system with constant phase retarder is then decrypted by use of a ciphertext with different security level and each of decryption keys made from the multiplication of orthogonal code and random phase code in order to enhance the level of security. We demonstrate the efficiency of the proposed method and the fault-tolerance properties of data loss through several simulations.