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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 34, Iss. 11 — Jun. 1, 2009
  • pp: 1729–1731

Deficiencies of the cryptography based on multiple-parameter fractional Fourier transform

Qiwen Ran, Haiying Zhang, Jin Zhang, Liying Tan, and Jing Ma  »View Author Affiliations


Optics Letters, Vol. 34, Issue 11, pp. 1729-1731 (2009)
http://dx.doi.org/10.1364/OL.34.001729


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Abstract

Methods of image encryption based on fractional Fourier transform have an incipient flaw in security. We show that the schemes have the deficiency that one group of encryption keys has many groups of keys to decrypt the encrypted image correctly for several reasons. In some schemes, many factors result in the deficiencies, such as the encryption scheme based on multiple-parameter fractional Fourier transform [ Opt. Lett. 33, 581 (2008) ]. A modified method is proposed to avoid all the deficiencies. Security and reliability are greatly improved without increasing the complexity of the encryption process. © 2009 Optical Society of America

© 2009 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(110.6980) Imaging systems : Transforms
(200.3050) Optics in computing : Information processing
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: February 24, 2009
Revised Manuscript: April 17, 2009
Manuscript Accepted: April 23, 2009
Published: May 29, 2009

Citation
Qiwen Ran, Haiying Zhang, Jin Zhang, Liying Tan, and Jing Ma, "Deficiencies of the cryptography based on multiple-parameter fractional Fourier transform," Opt. Lett. 34, 1729-1731 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-11-1729


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