Digital Fingerprinting Based on Quaternion Encryption Scheme for Gray-Tone Images
DOI:
https://doi.org/10.26636/jtit.2014.2.1016Keywords:
cryptography, multimedia, security, watermarkingAbstract
In this paper a new idea of digital images fingerprinting is proposed. The method is based on quaternion encryption in the Cipher Block Chaining (CBC) mode. Quaternions are hyper-complex numbers of rank 4 and thus often applied to mechanics in three-dimensional space. The encryption algorithm described in the paper is designed for graytone images but can easily be adopted for color ones. For the encryption purpose, the algorithm uses the rotation of data vectors presented as quaternions in a three-dimensional space around another quaternion (key). On the receiver’s side, a small amount of unnoticeable by human eye errors occurs in the decrypted images. These errors are used as a user’s digital fingerprint for the purpose of traitor tracing in case of copyright violation. A computer-based simulation was performed to scrutinize the potential presented quaternion encryption scheme for the implementation of digital fingerprinting. The obtained results are shown at the end of this paper.
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[1] T. Nagase, M. Komata, and T. Araki, „Secure signals transmission based on quaternion encryption scheme”, in Proc. 18th Int. Conf. Adv. Inform. Netw. Appl. AINA 2004, Fukuoka, Japan, 2004, vol. 2, pp. 35-38.
View in Google Scholar
[2] T. Nagase, R. Koide, T. Araki, and Y. Hasegawa, „A new Quadripartite Public-Key Cryptosystem”, in Proc. Int. Symp. Commun. Inform. Technol. ISCIT 2004, Sapporo, Japan, 2004, pp. 74-79.
View in Google Scholar
[3] R. Goldman, „Understanding quaternions”, Graphical Models, vol. 73, no. 2, pp. 21-49, 2011.
View in Google Scholar
[4] R. Goldman, An Integrated Introduction to Computer Graphics and Geometric Modeling. New York: CRC Press, 2009.
View in Google Scholar
[5] M. Dzwonkowski, „Software implementation and research of quaternion cryptosystem”, M.Sc. thesis, Faculty of ETI, Gdańsk University of Technology, Gdańsk, 2011, pp. 5-84.
View in Google Scholar
[6] M. Dzwonkowski and R. Rykaczewski, „A New Quaternion Encryption Scheme for Image Transmission”, in Proc. ICT Young 2012 Conference, Gdańsk, Poland, 2012, pp. 21-27.
View in Google Scholar
[7] M. Dzwonkowski and R. Rykaczewski, „Quaternion encryption method for image and video transmission”, Telecommun. Rev. + Telecommun. News, no. 8-9, pp. 1216-1220, 2013.
View in Google Scholar
[8] F. Zhang, „Quaternion and matrices of quaternions”, Linear Algebra and its Applications, vol. 251, pp. 21-57, 1997.
View in Google Scholar
[9] W. Kahan, „IEEE Standard 754 for Binary Floating-Point Arithmetic”, pp. 1-30, 1997.
View in Google Scholar
[10] K. J. R. Liu, W. Trappe, Z. J. Wang, M. Wu, and H. Zhao, Multimedia Fingerprinting Forensics For Traitor Tracing. EURASIP Book Ser. on Signal Process. and Commun., Hindawi Publishing Corporation, vol. 4, 2005.
View in Google Scholar
[11] K. J. R. Liu and H. Zhao, „Bandwidth efficient fingerprint multi-cast for video streaming”, in Proc. IEEE Int. Conf. Acoust. Speech and Sig. Process. ICASSP ’04, Montreal, Canada, 2004, vol. 5, pp. 849-852.
View in Google Scholar
[12] D. Kundur and K. Karthik, „Video fingerprinting and encryption principles for digital rights management”, Proc. IEEE, vol. 92, no. 6, pp. 918-932, 2004.
View in Google Scholar
[13] M. Ammar and P. Judge, „WHIM: Watermarking multicast video with a hierarchy of intermediaries”, in Proc. 10th Int. Worksh. Netw. Oper. Syst. Support Digit. Audio Video NOSSDAV 2000, Chapel Hill, USA, 2000.
View in Google Scholar
[14] R. Parviainen and R. Parnes, „Large scale distributed watermarking of multicast media through encryption”, in Proc. IFIP Int. Conf. Commun. Multimed. Secur. Issues of the New Century, Darmstadt, Germany, 2001, p. 17.
View in Google Scholar
[15] I. J. Cox, J. Kilian, F. T. Leighton, and T. G. Shamoon, „Secure spread spectrum watermarking for multimedia”, IEEE Trans. Image Process., vol. 6, no. 12, pp. 1673-1687, 1997.
View in Google Scholar
[16] R. Anderson and C. Manifavas, „Chameleon - a new kind of stream cipher”, in Lecture Notes in Computer Science, Fast Softw. Encryption, E. Biham, Ed. Heidelberg: Springer, 1997, pp. 107-113.
View in Google Scholar
[17] R. Rykaczewski, „Hillcast - A method of joint decryption and fingerprinting for multicast distribution of multimedia data”, Scientific J. WETI PG, vol. 19, pp. 231-236, 2010.
View in Google Scholar
[18] B. Czaplewski and R. Rykaczewski, „Improvement of fingerprinting method based on Hill Cipher by using frequency domain”, in Proc. ICT Young 2012 Conf., Gdańsk, Poland, 2012.
View in Google Scholar
[19] B. Czaplewski and K. Czaplewski, „Protection of visual data transmission for vessel traffic systems using joint fingerprinting and decryption method based on modified Hill cipher”, Annual of Navigation, vol. 19, no. 2, pp. 5-17, 2012.
View in Google Scholar
[20] K. J. R. Liu, Z. J. Wang, M. Wu, and H. Zhao, „Forensic analysis of nonlinear collusion attacks for multimedia fingerprinting”, IEEE Trans. Image Process., vol. 14, no. 5, pp. 646-661, 2005.
View in Google Scholar
[21] K. J. R. Liu, W. Trappe, Z. J. Wang, and M. Wu, „Collusion-resistant fingerprinting for multimedia”, IEEE Signal Process. Mag., vol. 21, pp. 15-27, 2004.
View in Google Scholar
[22] S. He and M. Wu, „Joint coding and embedding techniques for multimedia fingerprinting”, IEEE Trans. Inf. Forensics Secur., vol. 1, no. 2, pp. 231-247, 2006.
View in Google Scholar
[23] W. Krysicki, J. Bartos, W. Dyczka, K. Królikowska, and M. Wasilewska, Probability and Mathematical Statistics in Exercises, part II, IV ed., Warszawa: PWN, 1999, pp. 49-54.
View in Google Scholar
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