[1] |
S.Y. Hwang et al., "Efficient Implementation of a Pseudorandom Sequence Generator for High-Speed Data Communications," ETRI J., vol. 32, no. 2, Apr. 2010, pp. 222-229. |
[2] |
M. Asim and V. Jeoti, "Efficient and Simple Method for Designing Chaotic S-Boxes," ETRI J., vol. 30, no. 1, Feb. 2008, pp. 170-172. |
[3] |
M.L. Barakat, A.G. Radwan, and K.N. Salama, "Hardware Realization of Chaos-Based Block Cipher for Image Encryption," IEEE Int. Conf. Microelectron., 2011, pp. 1-5. |
[4] |
A. Kopp et al., "A Stochastic Differential Equation Code for Multidimensional Fokker-Planck Type Problems," Comput. Physics Commun., vol. 183, no. 3, 2012, pp. 530-542. |
[5] |
C.-Y. Li et al., "Period Extension and Randomness Enhancement Using High-Throughput Reseeding-Mixing PRNG," IEEE Trans. Very Large Scale Integ. Syst., vol. 20, no. 2, 2012, pp. 385-389. |
[6] |
S.-L. Chen et al., "A Fast Digital Chaotic Generator for Secure Communication," Int. J. Bifurcation Chaos, vol. 20, no. 12, 2010, pp. 3969-3987. |
[7] |
T. Addabbo et al., "A Class of Maximum-Period Nonlinear Congruential Generators Derived From the Rényi Chaotic Map," IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 54, no. 4, 2007, pp. 816-828. |
[8] |
S.-L. Chen, T. Hwang, and W.-W. Lin, "Randomness Enhancement Using Digitalized Modified Logistic Map," IEEE Trans. Circuits Syst. II: Exp. Briefs, vol. 57, no. 12, 2010, pp. 996-1000. |
[9] |
M.A. Zidan, A.G. Radwan, and K.N. Salama, "Controllable V-Shape Multi-scroll Butterfly Attractor: System and Circuit Implementation," Int. J. Bifurcation Chaos, vol. 22, no. 6, 2012, pp. 1250143-1250156. |
[10] |
M.A. Zidan, A.G. Radwan, and K.N. Salama, "Random Number Generation Based on Digital Differential Chaos," Int. Midwest Symp. Circuits Syst., 2011, pp. 1-4. |
[11] |
T. Addabbo et al., "Pseudochaotic Lossy Compressors for True Random Number Generation," IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 58, no. 8, 2011, pp. 1897-1909. |
[12] |
G. Taylor and G. Cox, "Digital Randomness," IEEE Spectrum, vol. 48, no. 9, 2011, pp. 32-58. |
[13] |
S. Li, G. Chen, and X. Mou, "On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps," Int. J. Bifurcation Chaos, vol. 15, no. 10, 2005, pp. 3119-3152. |
[14] |
J.V. Neumann, "Various Techniques Used in Connection With Random Digits," National Bureau of Standards Applied Mathematics Series 12, 1951, pp. 36-38. |
[15] |
T. Stojanovski, J. Pihl, and L. Kocarev, "Chaos-Based Random Number Generators. Part II: Practical Realization," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 48, no. 3, 2001, pp. 382-385. |
[16] |
V. Fischer and M. Drutarovský, "True Random Number Generator Embedded in Reconfigurable Hardware," LNCS, Berlin-Heidelberg: Springer, 2003. |
[17] |
B.-J. Wang et al., "Random Number Generator of BP Neural Network Based on SHA-2 (512)," Int. Conf. Machine Learning Cybern., 2007, pp. 2708-2712. |
[18] |
P. Lacharme, "Analysis and Construction of Correctors," IEEE Trans. Info. Theory, vol. 55, no. 10, 2009, pp. 4742-4748. |
[19] |
Y.-S. Kim, J.-W. Jang, and D.-W. Lim, "Linear Corrector Overcoming Minimum Distance Limitation for Secure TRNG from (17, 9, 5) Quadratic Residue Code," ETRI J., vol. 32, no. 1, Feb. 2010, pp. 93-101. |
[20] |
J.C. Sprott, "A New Class of Chaotic Circuit," Physics Lett. A, vol. 266, no. 1, 2000, pp. 19-23. |
[21] |
T. Addabbo et al., "Low Hardware Complexity PRBGs Based on a Piecewise-Linear Chaotic Map," IEEE Trans. CAS - Part II, vol. 53, no. 5, 2006, pp. 329-333. |
[22] |
T. Addabbo et al., "The Digital Tent Map: Performance Analysis and Optimized Design as a Source of Pseudo-Random Bits," IEEE Trans. Instrum. Meas., vol. 55, no. 5, 2006, pp. 1451-1458. |
[23] |
J.C. Sprott, Chaos and Time-Series Analysis, Oxford, UK: Oxford University Press, 2003. |
[24] |
M.A. Zidan, A.G. Radwan, and K.N. Salama, "The Effect of Numerical Techniques on Differential Equation Based Chaotic Generators," IEEE Int. Conf. Microelectron. 2011, pp. 1-4. |
[25] |
A.S. Mansingka, A.G. Radwan, and K.N. Salama, "Design, Implementation and Analysis of Fully Digital 1-D Controllable Multiscroll Chaos," IEEE Int. Conf. Microelectron., 2011, pp. 1-5. |
[26] |
A.S. Mansingka et al., "Analysis of Bus Width and Delay on a Fully Digital Signum Nonlinearity Chaotic Oscillator," Int. Midwest Symp. Circuits Syst., 2011, pp. 1-4. |
[27] |
R. Devaney, An Introduction to Chaotic Dynamical System, 2nd ed., Boulder, CO: Westview Press, 2003. |
[28] |
S. Kodba, M. Perc, and M. Marhl, "Detecting Chaos from a Time Series," European J. Physics, vol. 26, no. 1, 2005, pp. 205-215. |
[29] |
M.E. Yalcin, J.A.K. Suykens, and J. Vandewalle, "True Random Bit Generation from a Double-Scroll Attractor," IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 51, no. 7, 2004, pp. 1395-1404. |
[30] |
R.B. Davies, "Exclusive OR (XOR) and Hardware Random Number Generators," 2002. http://www.robertnz.net/pdf/xor2.pdf |
[31] |
T. Addabbo et al., Digitized Chaos for Pseudo-random Number Generation in Cryptography, Series: Studies on Computational Intelligence, Vol. 354, L. Kocarev and S. Lian, Eds., Springer, 2011. |
[32] |
A. Rukhin et al., "A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications," NIST Special Publication 800-22, 2001. |
[33] |
H. Kim et al., "Efficient Masking Methods Appropriate for the Block Ciphers ARIA and AES," ETRI J., vol. 32, no. 3, June 2010, pp. 370-379. |
[34] |
E. Lorenz, "Deterministic Nonperiodic Flow," J. Atmospheric Sci., vol. 20, no. 2, 1963, pp. 130-141. |
[35] |
G.R. Chen and J.H. Lu, Dynamics of the Lorenz System Family: Analysis, Control and Synchronization, Beijing: Sci. Press, 2003. |
[36] |
A. Elwakil and M. Kennedy, "Construction of Classes of Circuit Independent Chaotic Oscillators Using Passive-Only Nonlinear Devices," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 48, no. 3, 2001, pp. 289-307. |
[37] |
C.-Y. Li, T.-Y. Chang, and C.-C. Huang, "A Nonlinear PRNG Using Digitized Logistic Map with Self-Reseeding Method," Int. Symp. VLSI Design Autom. Test (VLSI-DAT), 2010, pp. 108-111. |