Abstract
A composite matrix cipher consisting of four partial ciphers and based on perfect binary arrays has been proposed. This cipher possesses an easily controlled level of data protection from unauthorized access and other practically acceptable computational properties.
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References
M. I. Mazurkov, Broadband Radio Communications Systems: Textbook for Higher Education Institutions (Nauka i Tekhnika, Odessa, 2010) [in Russian].
M. I. Mazurkov, “Class of minimax error-corecting codes based on perfect binary arrays,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 54(9), 24 (2011) [Radioelectron. Commun. Syst. 54 (9), 481 (2011)], DOI: 10.3103/S0735272711090032.
M. I. Mazurkov and V. Ya. Chechel’nitskii, “The classes of equivalent and generative perfect binary arrays for CDMA-technologies,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 46(5), 54 (2003) [Radioelectron. Commun. Syst. 46 (5), 49 (2003)].
M. I. Mazurkov, V. Ya. Chechel’nitskii, and M. Yu. Gerasimenko, “Classes of minimax bi-phase signals based on perfect binary arrays,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 49(10), 25 (2006) [Radioelectron. Commun. Syst. 49 (10), 19 (2006)].
J. Jedwab and C. Mitchell, “Constructing new perfect binary arrays,” Electron. Lett. 24, 650 (1988).
P. Wild, “Infinite families of perfect binary arrays,” Electron. Lett. 24, No. 14, 845 (1988).
L. E. Kopilovich, “On perfect binary arrays,” Electron. Lett. 24, No. 8, 566 (1988).
I. A. Gepko, “Synthesis of perfect binary arrays,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 41(6), 13 (1998) [Radioelectron. Commun. Syst. 41 (6), 9 (1998)].
I. A. Gepko, “Perfect time-frequency codes for multifrequency CDMA technologies,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 43(2), 66 (2000) [Radioelectron. Commun. Syst. 43 (2), 57 (2000)].
V. Ya. Chechel’nitskii, “A method for generation of the full class of perfect binary arrays of the order N = 8_8,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 48(11), 65 (2005) [Radioelectron. Commun. Syst. 48 (11), 58 (2005)].
M. I. Mazurkov and V. Ya. Chechel’nitskii, “The properties of the full class of perfect binary arrays for 36 elements,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 47(6), 56 (2004) [Radioelectron. Commun. Syst. 47 (6), 48 (2004)].
M. I. Mazurkov and M. Yu. Gerasimenko, “Fast orthogonal transforms based on perfect binary arrays,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 49(9), 54 (2006) [Radioelectron. Commun. Syst. 49 (9), 47 (2006)].
P. E. Baranov, M. I. Mazurkov, V. Ya. Chechelnytskyi, A. A. Yakovenko, “Family of two-dimensional correcting codes on a basis of perfect binary array,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 52(9), 65 (2009) [Radioelectron. Commun. Syst. 52 (9), 501 (2009)], DOI: 10.3103/S0735272709090088.
M. I. Mazurkov, V. Ya. Chechel’nitskii, P. Murr, “Information security method based on perfect binary arrays,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 51(11), 53 (2008) [Radioelectron. Commun. Syst. 51 (11), 612 (2008)], DOI: 10.3103/S0735272708110095.
V. P. D’yakonov, Mathematica 5/15/2/6/. Programming and mathematical calculations (DMK Press, Moscow, 2008) [in Russian].
C. Shannon, “A mathematical theory of communication,” Bell Sys. Tech. J. 27, No. 3, 379, No. 4, 623 (1948).
B. Sklar, Digital Communications: Fundamentals and Applications, 2nd ed. (Prentice-Hall, New Jersey, 2001).
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes (North-Holland, 1978).
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Original Russian Text © M.I. Mazurkov, 2013, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2013, Vol. 56, No. 3, pp. 36–44.
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Mazurkov, M.I. Composite matrix cipher based on perfect binary arrays. Radioelectron.Commun.Syst. 56, 133–140 (2013). https://doi.org/10.3103/S0735272713030047
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DOI: https://doi.org/10.3103/S0735272713030047