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Encryption Schemes with Hyper-Complex Number Systems and Their Hardware-Oriented Implementation

Encryption Schemes with Hyper-Complex Number Systems and Their Hardware-Oriented Implementation

Evgueni Doukhnitch, Alexander G. Chefranov, Ahmed Mahmoud
Copyright: © 2013 |Pages: 23
ISBN13: 9781466640306|ISBN10: 1466640308|EISBN13: 9781466640313
DOI: 10.4018/978-1-4666-4030-6.ch005
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MLA

Doukhnitch, Evgueni, et al. "Encryption Schemes with Hyper-Complex Number Systems and Their Hardware-Oriented Implementation." Theory and Practice of Cryptography Solutions for Secure Information Systems, edited by Atilla Elçi, et al., IGI Global, 2013, pp. 110-132. https://doi.org/10.4018/978-1-4666-4030-6.ch005

APA

Doukhnitch, E., Chefranov, A. G., & Mahmoud, A. (2013). Encryption Schemes with Hyper-Complex Number Systems and Their Hardware-Oriented Implementation. In A. Elçi, J. Pieprzyk, A. Chefranov, M. Orgun, H. Wang, & R. Shankaran (Eds.), Theory and Practice of Cryptography Solutions for Secure Information Systems (pp. 110-132). IGI Global. https://doi.org/10.4018/978-1-4666-4030-6.ch005

Chicago

Doukhnitch, Evgueni, Alexander G. Chefranov, and Ahmed Mahmoud. "Encryption Schemes with Hyper-Complex Number Systems and Their Hardware-Oriented Implementation." In Theory and Practice of Cryptography Solutions for Secure Information Systems, edited by Atilla Elçi, et al., 110-132. Hershey, PA: IGI Global, 2013. https://doi.org/10.4018/978-1-4666-4030-6.ch005

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Abstract

Quaternion Encryption Scheme (QES) is shown to be susceptible to the Known Plaintext-Ciphertext Attack (KPCA) due to improper choice of frame size and the procedure of secret quaternion updating. In this chapter, the authors propose a modification of the QES (M-QES) that is resistant to the KPCA. The M-QES is based on adjusting the frame size and the quaternion update procedure. An approach for effective hardware implementation of the proposed algorithm, HW-QES, is discussed. The HW-QES uses addition and shift operations. Extension of quaternion approach to another hyper-complex number systems, octonions, is used for designing a new hardware-oriented encryption algorithm, HW-OES. Experimental results show that the proposed M-QES and HW-QES are six-eight times more effective in the encryption quality of signals than the original QES. Additionally, M-QES and HW-OES are shown to be significantly more effective in the encryption quality of images than the original QES and well-known AES. The results show that the performance of the HW-QES is only 10% worse than that of QES.

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