An Algorithm Based on GSVD for Image Encryption
1
Department of Islamic Education, University of Kufa, 31001 Al-Najaf, Iraq
2
Department of Mathematics, University of Kufa, 31001 Al-Najaf, Iraq
3
Department of Computer Science, University of Kufa, 31001 Al-Najaf, Iraq
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2017, 22(2), 28; https://doi.org/10.3390/mca22020028
Received: 28 January 2017 / Revised: 10 March 2017 / Accepted: 17 March 2017 / Published: 28 March 2017
This paper represents a new image encryption algorithm based on modifying generalized singular value decomposition (GSVD) by decomposing the plain-image into two segments using GSVD with an exchanged key-image to produce the cipher-image. The exchanged key-image is used as an encrypting and decrypting image. Mathematically, this procedure is represented by transforming the plain-image’s matrix into two different matrices and applying the GSVD with the exchanged key-image’s matrix to obtain the cipher-image’s matrix. The two encoded segments can be kept in several places or assigned to a group of authorized persons. No one can obtain the information of the image easily without the knowledge of the decrypting key. This proposed algorithm is represented as one of the digital image encryption techniques used to enhance the security of images that have been sent between recipients.
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Keywords:
encryption; singular value decomposition; generalized singular value decomposition; image encryption
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MDPI and ACS Style
Al-Kufi, M.A.H.J.; Hashim, H.R.; Hussein, A.M.; Mohammed, H.R. An Algorithm Based on GSVD for Image Encryption. Math. Comput. Appl. 2017, 22, 28. https://doi.org/10.3390/mca22020028
AMA Style
Al-Kufi MAHJ, Hashim HR, Hussein AM, Mohammed HR. An Algorithm Based on GSVD for Image Encryption. Mathematical and Computational Applications. 2017; 22(2):28. https://doi.org/10.3390/mca22020028
Chicago/Turabian StyleAl-Kufi, Mohammed A.H.J.; Hashim, Hayder R.; Hussein, Ameer M.; Mohammed, Hind R. 2017. "An Algorithm Based on GSVD for Image Encryption" Math. Comput. Appl. 22, no. 2: 28. https://doi.org/10.3390/mca22020028
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