Yet Another Pseudorandom Number Generator

• Autorzy: Stoyanov B. , Szczypiorski K. , Kordov K.

Identyfikatory

DOI

10.1515/eletel-2017-0026

• Języki publikacji: EN

Abstrakty

EN

Rossler attractor bent Boolean function pseudorandom number generator

Słowa kluczowe

EN

Rossler attractor; bent Boolean function; pseudorandom number generator

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: International Journal of Electronics and Telecommunications
• Rocznik: 2017
• Tom: Vol. 63, No. 2
• Strony: 195--199
• Opis fizyczny: Bibliogr. 36 poz., tab., wykr.

Twórcy

autor

Stoyanov B.

• Department of Computer Informatics, Konstantin Preslavsky University of Shumen, Bulgaria

autor

Szczypiorski K.

• Warsaw University of Technology, Warsaw, Poland; Cryptomage SA, Wroclaw, Poland

autor

Kordov K.

• Department of Computer Informatics, Konstantin Preslavsky University of Shumen, Bulgaria

Bibliografia

• [1] F. Abundiz-Pérez, C. Cruz-Hernández, M.A. Murillo-Escobar, R.M. López-Gutiérrez, and A. Arellano-Delgado, A Fingerprint Image Encryption Scheme Based on Hyperchaotic Rössler Map, Mathematical Problems in Engineering, 2016, Article ID 2670494, pages 15, 2016.
• [2] A.Y. Aguilar-Bustos, C. Cruz-Hernández, R.M. López-Gutiérrez, and C. Posadas–Castillo, Synchronization of Different Hyperchaotic Maps for Encryption, Nonlinear Dynamics and Systems Theory, 8(3), 221–236, 2008.
• [3] G. Alvarez, S. Li, Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems, International Journal of Bifurcation and Chaos, 16, 2129–2151, 2006.
• [4] C. Banerjee, D. Datta, and D. Datta, A Random Bit Generator Using Rössler Chaotic System, K. Maharatna et al. (eds.), Computational Advancement in Communication Circuits and Systems, Lecture Notes in Electrical Engineering, 335, 81–87, 2015.
• [5] V. Canals, A. Morro, and J.L. Rosselló, Random Number Generation Based on the Rossler Attractor, IEICE Proceeding Series, 1, 272–275, 2014.
• [6] D. Chantov, A Chaos Based Two-level Secure Communication System on the Basis of two Different Pairs of Synchronized Chaotic Systems, International Journal on Information Technologies & Security, 1, 51–62, 2012.
• [7] T. W. Cusick, and P. Stănică, Cryptographic Boolean Functions and Applications, Academic Press, 2009.
• [8] Dăscălescu, Ana-Cristina and Boriga, Radu Eugen and Diaconu, Adrian-Viorel, Study of a new chaotic dynamical system and its usage in a novel pseudorandom bit generator, Mathematical Problems in Engineering 2013, Article ID 769108, 10 pages, 2013, http://dx.doi.org/10.1155/2013/769108.
• [9] I. Faragó, Numerical Methods for Ordinary Differential Equations, TypoTech, Budapest, 2014.
• [10] M. Frunzete, A.-A. Popescu, and J.-P. Barbot, Dynamical Discrete-Time Rössler Map with Variable Delay, Lecture Notes in Computer Science, 9155, 431–446, 2015.
• [11] J.H. García-López, and Jaimes-Reátegui, R. and Pisarchik, A.N. and Murguía-Hernandez, A. and Medina-Gutiérrez, C. and Valdivia-Hernadez, R. and Villafana-Rauda, E., Novel Communication Scheme based on Chaotic Rössler Circuits, Journal of Physics: Conference Series 23(1), 276–284, 2005.
• [12] M. Itoh, T. Yang, and L.O. Chua, Conditions for impulsive synchronization of chaotic and hyperchaotic systems, International Journal of Bifurcation and Chaos, 11(2), 551–560, 2001.
• [13] K. Kordov, Modified Pseudo-Random Bit Generation Scheme Based on Two Circle Maps and XOR Function, Applied Mathematical Sciences, 9(3), 129–135, 2015.
• [14] K. Kordov, Signature Attractor Based Pseudorandom Generation Algorithm, Advanced Studies in Theoretical Physics, 9(6), 287–293, 2015.
• [15] B. Liu, and Zhang, Lijia and Xin, Xiangjun and Wang, Yongjun, Physical layer security in OFDM-PON based on dimension-transformed chaotic permutation, IEEE Photonics Technology Letters, 26(2), 127–130, 2014.
• [16] D. Malchev, I. Ibryam, Construction of pseudorandom binary sequences using chaotic maps (2015) Applied Mathematical Sciences, 9 (77-80), 3847–3853. http://dx.doi.org/10.12988/ams.2015.52149.
• [17] G. Marsaglia, DIEHARD: a Battery of Tests of Randomness, http://www.fsu.edu/pub/diehard/.
• [18] H.M. Al-Najjar, Digital image encryption algorithm based on multidimensional chaotic system and pixels location, International Journal of Computer Theory and Engineering, 4(3), 354–357, 2012.
• [19] T. Neumann, Bent Functions, Doctoral dissertation, University of Kaiserslautern, 2006.
• [20] Orozco, Eduardo Rodriguez and Guerrero, E Efren Garcia and González, Everardo Inzunza and Bonilla, Oscar R López, Image Encryption Based on Improved Rössler Hyperchaotic Map, Difu100ci@ Revista en Ingeniería y Tecnología, UAZ, 8(2), 2014.
• [21] K. Pommerening, Fourier Analysis of Boolean Maps–A Tutorial, 2005.
• [22] O. S. Rothaus, On ”bent” functions, Journal of Combinatorial Theory, Series A, Volume 20, Issue 3, 1976, 300–305.
• [23] O.E. Rössler, An Equation for Continuous Chaos, Physics Letters, 57A(5), 397–398, 1976.
• [24] A. Rukhin, J. Soto, J. Nechvatal, M. Smid, E. Barker, S. Leigh, M. Levenson, M. Vangel, D. Banks, A. Heckert, J. Dray, and S. Vo, A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Application, NIST Special Publication 800-22, Revision 1a (Revised: April 2010), Lawrence E. Bassham III, 2010, http://csrc.nist.gov/rng/.
• [25] A. Sambas, W.S. Mada Sanjaya, M. Mamat, and Halimatussadiyah, Design and analysis bidirectional chaotic synchronization of Rössler circuit and its application for secure communication, Applied Mathematical Sciences, 7(1), 11–21, 2013.
• [26] Zh. Savova-Tasheva, A. Tasheva, Algorithms for Extended Galois Field Generation and Calculation, Mathematical and Software Engineering, 1(1), 18–24, 2015, http://varepsilon.com/index.php/mse/article/view/7.
• [27] B.P. Stoyanov, Chaotic cryptographic scheme and its randomness evaluation, in 4th AMiTaNS’12, AIP Conference Proceedings, 1487, 397–404, 2012, http://dx.doi.org/10.1063/1.4758983.
• [28] B. Stoyanov, Pseudo-random Bit Generation Algorithm Based on Chebyshev Polynomial and Tinkerbell Map, Applied Mathematical Sciences, Vol. 8, 2014, no. 125, 6205–6210, http://dx.doi.org/10.12988/ams.2014.48676.
• [29] B.P. Stoyanov, Pseudo-random bit generator based on Chebyshev map, in 5th AMiTaNS’13, AIP Conference Proceedings, 1561 (2013), 369–372, http://dx.doi.org/10.1063/1.4827248.
• [30] B.P. Stoyanov, Using Circle Map in Pseudorandom Bit Generation, in 6th AMiTaNS’14, AIP Conference Proceedings, 1629 (2014), 460-463, http://dx.doi.org/10.1063/1.4902309.
• [31] B. Stoyanov, K. Kordov, K., A Novel Pseudorandom Bit Generator Based on Chirikov Standard Map Filtered with Shrinking Rule, Mathematical Problems in Engineering, 2014, Article ID 986174, 2014, 1–4., http://dx.doi.org/10.1155/2014/986174.
• [32] B.P. Stoyanov, K.M. Kordov, Cryptanalysis of a modified encryption scheme based on bent Boolean function and Feedback with Carry Shift Register, in 5th AMiTaNS’13, AIP Conference Proceedings, 1561, 373–377, 2013, http://dx.doi.org/10.1063/1.4827249.
• [33] B. Stoyanov, K. Kordov, Image encryption using Chebyshev map and rotation equation, Entropy, 17, 2117–2139, 2015, http://dx.doi.org/10.3390/e17042117.
• [34] B. Stoyanov, K. Kordov, Novel Image Encryption Scheme Based on Chebyshev Polynomial and Duffing Map, The Scientific World Journal 2014, Article ID 283639, 1–11, 2014, http://dx.doi.org/10.1155/2014/283639.
• [35] J. Walker, ENT: A Pseudorandom Number Sequence Test Program, 2008, http://www.fourmilab.ch/random/.
• [36] IEEE Computer Society, 754-2008 - IEEE Standard for Floating-Point Arithmetic, Revision of ANSI/IEEE Std 754-1985, 2008, DOI: 10.1109/IEEESTD.2008.4610935.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).