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Imaging and Applied Optics

Family of Nonlinear Optical Cryptosystems to thwart Phase-retrieval attacks

Aloka Sinha

Published Jan 1, 2015• 0 citations
Publisher

Abstract

We propose a family of nonlinear optical cryptosystems based on phase truncated Fourier transform (PTFT) that are resistant to amplitude and phase-retrieval attacks. Numerical simulations corroborate the effectiveness of these proposed cryptosystems.
DOI
10.1364/aoms.2015.jt5a.35

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This paper presents two different aspects of cryptanalysis of the optical phase-truncated Fourier transform (PTFT)-based cryptosystem. In the first part, a comparative study is carried out for a specific attack on the PTFT-based scheme in different optical transformation domains. In the second part, a new attack algorithm is proposed. The existing attack algorithms devised for the PTFT-based cryptosystem require knowledge of both the encryption keys for successful retrieval of phase through phase-retrieval algorithms to extract information about the plaintext. The proposed new attack method eliminates the requirement of one of the encryption keys to carry out the attack on the PTFT-based scheme. The numerical results support the proposed method.
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We propose an asymmetric cryptosystem based on a phase-truncated Fourier transform. With phase truncation in Fourier transform, one is able to produce an asymmetric ciphertext as real-valued and stationary white noise by using two random phase keys as public keys, while a legal user can retrieve the plaintext using another two different private phase keys in the decryption process. Owing to the nonlinear operation of phase truncation, high robustness against existing attacks could be achieved. A set of simulation results shows the validity of proposed asymmetric cryptosystem.