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Research Articles

Unconstrained optimization attack on double random phase cryptosystem

  • WANG Guohua ,
  • LI Tuo ,
  • ZHANG Sanguo ,
  • SHI Yishi
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  • 1 University of Chinese Academy of Sciences, Beijing 100049, China;
    2 Key Laboratory of Big Data Mining and Knowledge Management, Chinese Academy of Sciences, Beijing 100049, China;
    3 Academy of Opto-electronics, Chinese Academy of Sciences, Beijing 100094, China

Received date: 2016-02-24

  Revised date: 2016-03-31

  Online published: 2016-09-15

Abstract

An unconstrained optimization method is proposed to attack the double phase encryption system.Under the condition of knowing the plaintext, the new attack method builds an unconstrained optimization model and gets the accurate phase key via this model. Using the acquired phase key, the attacker decrypts the followed cipher. The new attack method transforms the problem of attacking the double phase encryption system into an unconstrained optimization model. The new attack method replaces Hessian matrix by quasi-Newton matrix to avoid computation of the reverse of Hessian matrix. The new attack method has fast convergence speed and strong robustness, and it is not too sensitive to the original values of the variables. This attack method can be applied to other encryption systems.

Cite this article

WANG Guohua , LI Tuo , ZHANG Sanguo , SHI Yishi . Unconstrained optimization attack on double random phase cryptosystem[J]. Journal of University of Chinese Academy of Sciences, 2016 , 33(5) : 604 -611 . DOI: 10.7523/j.issn.2095-6134.2016.05.005

References

[1] Refregier P, Javidi B. Optical image encryption based on input plane and Fourier plane random encoding[J]. Optics Letters, 1995, 20(7):767-769.
[2] Arturo C, Mario M U, Sergio A, et al. Vulnerability to chosen-cyphertext attacks of optical encryption schemes based on double random phase keys[J]. Optics Letters, 2010, 30(30):1644-1646.
[3] Peng X, Wei H Z, Zhang P. Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain[J]. Optics Letters, 2006, 31(22):3261-3263.
[4] He W Q, Peng X, Meng X F. A hybrid strategy for cryptanalysis of optical encryption based on double-random phase-amplitude encoding[J]. Optics & Laser Technology, 2012, 44(5):1203-1206.
[5] He W Q, Peng X, Meng X F, et al. Collision in optical image encryption based on interference and a method for avoiding this security leak[J]. Optics & Laser Technology, 2013, 47(47):31-36.
[6] Situ G H, Peolrini G,Osten W. Strategy for cryptanalysis of optical encryption in the Fresnel domain[J].Applied Optics, 2010, 49(3):457-462.
[7] Peng X, Zhang P, Wei H Z, et al. Known-plaintext attack on optical encryption based on double random phase keys[J]. Optics Letters, 2006, 31(8):1044-1046.
[8] John Fredy B, Carlos V, Myrian T, et al. Known-plaintext attack on a joint transform correlator encrypting system[J]. Optics Letters, 2010, 35(21):3553-3555.
[9] Wang X G,Chen Y X,Dai C Q, et al. Discussion and a new attack of the optical asymmetric cryptosystem based on phase-truncated Fourier transform[J]. Applied Optics, 2014, 53(2):208-213.
[10] Gopinathan U, Monaghan D S, Naughton T J, et al. A known-plaintext heuristic attack on the Fourier plane encryption algorithm[J]. Optics Express, 2006, 14(8):3181-3186.
[11] Yann F, Albertina C, Naughton T J, et al. Resistance of the double random phase encryption against various attacks[J]. Optics Express, 2014, 15(16):10253-10265.
[12] Li T, Wang Y L,Zhang J, et al. Analytic known-plaintext attack on a phase-shifting interferometry-based cryptosystem[J]. Applied Optics, 2015, 54(2):306-311.
[13] Zhang C G,Liao M H,He W Q, et al. Ciphertext-only attack on a joint transform correlator encryption system[J]. Optics Express, 2013, 21(23):28523-28530.
[14] 史祎诗, 王雅丽, 肖俊,等. 基于位相抽取的三维信息加密算法研究[J]. 物理学报, 2011, 60(3):236-241.
[15] 刘祥磊, 潘泽, 王雅丽, 等. 基于叠层衍射的数字水印算法研究[J]. 物理学报, 2015, 64(23):234201.
[16] Li T,Shi Y S. Security risk of diffractive-imaging-based optical cryptosystem[J]. Optics Express, 2015, 23(16):21384-21391.
[17] Fukushima M,Li D H. On the global convergence of the bfgs method for nonconvex unconstrained optimization problems[J]. Siam J Optim Vol, 2001, 11(4):1054-1064.
[18] Liu D C, Nocedal J. On the limited memory BFGS method for large scale optimization[J]. Mathematical Programming, 1989, 45(3):503-528.
[19] Hoffmann K H, Christoph M, Hanf M. Optimizing simulated annealing[C]//Parallel Problem Solving from Nature. Springer Berlin Heidelberg, 1991:221-225.
[20] Romeijn H E, Smith R L. Simulated annealing for constrained global optimization[J]. Journal of Global Optimization, 1994, 5(2):101-126.
[21] Anthony M, Bartlett P L. Neural network learning:theoretical foundations[J].Ai Magazine, 2001, 22(2):99-100.
[22] Jones G, Willett P, Glen R C, et al. Development and validation of a genetic algorithm for flexible docking[J]. Journal of Molecular Biology, 1997, 267(3):727-748.
[23] Deb K, Pratap A, Agarwal S, et al. A fast and elitist multiobjective genetic algorithm:NSGA-Ⅱ, IEEE Trans. on Evol[J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2):182-197.

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