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Optics Letters

Asymmetric cryptosystem using random binary phase modulation based on mixture retrieval type of Yang-Gu algorithm: reply

Wei Liu, Zhengjun Liu, Shutian Liu

Published Oct 3, 2013• 23 citations
Publisher

Abstract

We appreciate the comment by He et al. [Opt. Lett.38, 4044 (2013)] in the sense that it allows us to clarify our methodology of constructing an optical asymmetric cryptosystem, especially the relationship of the public encryption keys and private decryption keys. We also take this opportunity to provide a more detailed discussion to promote the research about the optical encryption schemes with asymmetric keys into a more correct direction.

DOI
10.1364/ol.38.004045

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We appreciate the comment by He et al. [Opt. Lett.38, 4044 (2013)] in the sense that it allows us to clarify our methodology of constructing an optical asymmetric cryptosystem, especially the relationship of the public encryption keys and private decryption keys. We also take this opportunity to provide a more detailed discussion to promote the research about the optical encryption schemes with asymmetric keys into a more correct direction.
We comment on the recent Letter, by Liu et al. [Opt. Lett.38, 1651 (2013)] in which a method to improve the security strength of the asymmetric cryptosystem (ACS) by Qin and Peng [Opt. Lett.35, 118 (2010)] was proposed. However, in accordance with Liu's methodology, we could easily find other more efficient ways to achieve their purpose. More importantly, we think it is vitally necessary to point out that there exists a widespread, fundamental misunderstanding on the concept of ACS, which has also been studied in a series of related works.
We propose an asymmetric optical image encryption scheme that uses an amplitude and phase mixture retrieval of the Yang-Gu algorithm. The encryption process is realized by employing a cascaded Yang-Gu algorithm together with two random phase masks that serve as the public encryption keys. The two private keys are generated in the encryption process and are randomly distributed binary matrices to be used for performing one-way binary phase modulations. Without the private keys, illegal users cannot retrieve the secret image. Numerical simulations are carried out to demonstrate the validity and security of the proposed scheme.
A new nonlinear optical image encryption scheme based on a modified amplitude phase retrieval algorithm is proposed. With two random phase masks that serve as the public encryption keys, one iterative amplitude and phase retrieval process is employed to encode the primary image into a stationary white noise. The two private keys generated in the encryption process are randomly distributed binary matrices to be used to perform one-way binary phase modulations. The proposed encryption process is nonlinear and offers enhanced security. Numerical simulations are presented to demonstrate the feasibility and security of the proposed system. The results also illustrate that the computing efficiency of the algorithm is improved and the number of iterations is much less than that of cryptosystem based on Yang-Gu algorithm, which has two iteration processes.