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An encoding algorithm is proposed for three-dimensional (3-D) information using optical asymmetric cryptosystem and the digital interferometry. 3-D information can be treated as an ensemble composed of multiple points, and every point spreads in a spatial limited field. Due to the free space coordinates, the encryption system of 3-D information can be regarded as an optical asymmetric cryptosystem. We encrypt 3-D information with the double random phase-truncated encoding, and then record the amplitude of ciphertext by digital interferometry. Computer simulations demonstrate the feasibility and effective of the proposed method. This cryptosystem is also numerically tested with the incorrect keys, the addition noise to the ciphertext, and spatial information occluded ciphertext. The proposed algorithm has three advantages: the high efficiency of encryption, the safety provided by one added dimension, the increasing information quantity and the optical asymmetric cryptosystems. The high robustness to the system is also achieved.
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