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Encryption Schemes with Hyper-Complex Number Systems and Their Hardware-Oriented Implementation
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Author(s): Evgueni Doukhnitch (Istanbul Aydin University, Turkey), Alexander G. Chefranov (Eastern Mediterranean University, North Cyprus)and Ahmed Mahmoud (Al-Azhar University-Gaza, Palestine)
Copyright: 2013
Pages: 23
Source title:
Theory and Practice of Cryptography Solutions for Secure Information Systems
Source Author(s)/Editor(s): Atilla Elçi (Hasan Kalyoncu University, Turkey), Josef Pieprzyk (Macquarie University, Australia), Alexander G. Chefranov (Eastern Mediterranean University, North Cyprus), Mehmet A. Orgun (Macquarie University, Australia), Huaxiong Wang (Nanyang Technological University, Singapore)and Rajan Shankaran (Macquarie University, Australia)
DOI: 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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