Fast physical random bit generation with chaotic semiconductor lasers

The Art of Computer Programming

Knuth, D. E. (1968) · Cited by 16,097 · see citing works

Quantum cryptography

Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515 · see citing works

The Monte Carlo Method

Metropolis, N., & Ulam, S. (1949) · Journal of the American Statistical Association · doi:10.1080/01621459.1949.10483310 · Cited by 6,474 · cited 1× · see citing works

The Art of Computer Programming. Volume 2: Seminumerical Algorithms.

Taussky, O., & Knuth, D. E. (1970) · American Mathematical Monthly · doi:10.2307/2317055 · Cited by 3,863 · see citing works

A statistical test suite for random and pseudorandom number generators for cryptographic applications

Bassham, L. E., Rukhin, A. L., Soto, J., Nechvatal, J. R., Smid, M. E., Barker, E. B., Leigh, S. D., Levenson, M., Vangel, M., Banks, D. L., et al. (2010) · NIST Special Publication 800-22 Revision 1a · doi:10.6028/nist.sp.800-22r1a · Cited by 3,617 · cited 1× · see citing works

External optical feedback effects on semiconductor injection laser properties

Lang, R., & Kobayashi, K. (1980) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.1980.1070479 · Cited by 2,825 · see citing works

Physical One-Way Functions

Pappu, R., Recht, B., Taylor, J., & Gershenfeld, N. (2002) · Science · doi:10.1126/science.1074376 · Cited by 2,033 · see citing works

A statistical test suite for random and pseudorandom number generators for cryptographic applications

Rukhin, A., Sota, J., Nechvatal, J., Smid, M., Barker, E., Leigh, S., Levenson, M., Vangel, M., Banks, D., Heckert, A., et al. (2000) · doi:10.6028/nist.sp.800-22 · Cited by 1,867 · see citing works

Chaos-based communications at high bit rates using commercial fibre-optic links

Argyris, A., Syvridis, D., Larger, L., et al. (2005) · Nature · doi:10.1038/nature04275 · Cited by 1,666 · see citing works

Communication with Chaotic Lasers

VanWiggeren, G. D., & Roy, R. (1998) · Science · doi:10.1126/science.279.5354.1198 · Cited by 927 · see citing works

Random sequence generation by cellular automata

Wolfram, S. (1986) · Advances in Applied Mathematics · doi:10.1016/0196-8858(86)90028-x · Cited by 494 · see citing works

Security Requirements for Cryptographic Modules

Daley, W. M., Shavers, C., & Kammer, R. G. (1999) · Defense Technical Information Center (DTIC) · Cited by 405 · see citing works

A high-speed oscillator-based truly random number source for cryptographic applications on a smartcard IC

Bucci, M., Germani, L., Luzzi, R., Trifiletti, A., & Varanonuovo, M. (2003) · IEEE Transactions on Computers · doi:10.1109/tc.2003.1190581 · Cited by 403 · see citing works

Chaos-based random number generators-part I: analysis [cryptography]

Stojanovski, T., & Kocarev, L. (2001) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/81.915385 · Cited by 371 · see citing works

DIEHARD : A battery of tests of randomness

Marsaglia, G. (1996) · Medical Entomology and Zoology · Cited by 341 · see citing works

The Art of Computer Programming. Volume 2: Seminumerical Algorithms (Donald E. Knuth)

MacLaren, M. D. (1970) · SIAM Review · doi:10.1137/1012065 · Cited by 308 · see citing works

Unlocking Dynamical Diversity

(2005) · Wiley eBooks · doi:10.1002/0470856211 · Cited by 249 · see citing works

Embeddable ADC-based true random number generator for cryptographic applications exploiting nonlinear signal processing and chaos

Callegari, S., Rovatti, R., & Setti, G. (2005) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2004.839924 · Cited by 243 · see citing works

Randomness Requirements for Security

Eastlake, D., Schiller, J. I., & Crocker, S. D. (2005) · doi:10.17487/rfc4086 · Cited by 239 · see citing works

A high speed, postprocessing free, quantum random number generator

Dynes, J. F., Yuan, Z. L., Sharpe, A. W., & Shields, A. J. (2008) · Applied Physics Letters · doi:10.1063/1.2961000 · Cited by 226 · see citing works

Optical Quantum Random Number Generator

Stefanov, A., Gisin, N., Guinnard, O., Guinnard, L., & Zbinden, H. (1999) · Archive ouverte UNIGE (University of Geneva) · Cited by 224 · see citing works

An integrated analog/digital random noise source

Holman, W. T., Connelly, J. A., & Dowlatabadi, A. B. (1997) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.586025 · Cited by 190 · see citing works

Embeddable ADC-based true random number generator for cryptographic applications exploiting nonlinear signal processing and chaos

Callegari, S., Rovatti, R., & Setti, G. (2005) · PORTO Publications Open Repository TOrino (Politecnico di Torino) · doi:10.1109/tsp.2004.839924(410 · Cited by 180 · see citing works

True Random Number Generator With a Metastability-Based Quality Control

Tokunaga, C., Blaauw, D., & Mudge, T. (2008) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.2007.910965 · Cited by 172 · see citing works

Synchronized chaotic optical communications at high bit rates

Liu, J.-M., Chen, H. F., & Tang, S. (2002) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.2002.802045 · Cited by 156 · see citing works

True Random Number Generator with a Metastability-Based Quality Control

Tokunaga, C., Blaauw, D. T., & Mudge, T. (2007) · Digest of technical papers/Digest of technical papers - IEEE International Solid-State Circuits Conference · doi:10.1109/isscc.2007.373465 · Cited by 141 · see citing works

Evaluation Criteria for True (Physical) Random Number Generators Used in Cryptographic Applications

Schindler, W., & Killmann, W. (2003) · Lecture notes in computer science · doi:10.1007/3-540-36400-5_31 · Cited by 138 · see citing works

High-frequency broad-band signal generation using a semiconductor laser with a chaotic optical injection

Uchida, A., Heil, T., Liu, Y., et al. (2003) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.2003.818281 · Cited by 115 · see citing works

Ergodic Theory, Randomness, and "Chaos"

Ornstein, D. S. (1989) · Science · doi:10.1126/science.243.4888.182 · Cited by 77 · see citing works

Characteristics of chaotic masking in synchronized semiconductor lasers

Uchida, A., Liu, Y., & Davis, P. (2003) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.2003.814366 · Cited by 55 · see citing works

Corrections of the NIST Statistical Test Suite for Randomness

Kim, S.-J., Umeno, K., & Hasegawa, A. (2004) · arXiv · doi:10.48550/arxiv.nlin/0401040 · Cited by 54 · see citing works

Truly random number generator based on turbulent electroconvection

Gleeson, J. T. (2002) · Applied Physics Letters · doi:10.1063/1.1507362 · Cited by 44 · see citing works

Dice for Statistical Experiments

Galton, F. (1890) · Nature · doi:10.1038/042013a0 · Cited by 33 · see citing works

Very High-Speed True Random Noise Generator

Fort, A., Cortigiani, F., ROCCHI, S., et al. (2003) · Analog Integrated Circuits and Signal Processing · doi:10.1023/a:1021976717094 · Cited by 25 · see citing works

Amplification of intrinsic noise in a chaotic multimode laser system

Bracikowski, C., Fox, R. F., & Roy, R. (1992) · Physical Review A · doi:10.1103/physreva.45.403 · Cited by 25 · see citing works

Very high-speed true random noise generator

Cortigiani, F., Petri, C., ROCCHI, S., et al. (2002) · IEEE International Conference on Electronics, Circuits and Systems (ICECS) · doi:10.1109/icecs.2000.911499 · Cited by 5 · see citing works

Random numbers certified by Bell’s theorem

Pironio, S., Acín, A., Massar, S., de la Giroday, A. B., Matsukevich, D. N., Maunz, P., Olmschenk, S., Hayes, D., Luo, L., Manning, T. A., et al. (2010) · Nature · doi:10.1038/nature09008 · Cited by 1,420 · see citing works

Quantum random number generation

Ma, X., Yuan, X., Cao, Z., Qi, B., & Zhang, Z. (2016) · npj Quantum Information · doi:10.1038/npjqi.2016.21 · Cited by 445 · see citing works

Ultrahigh-Speed Random Number Generation Based on a Chaotic Semiconductor Laser

Reidler, I., Aviad, Y., Rosenbluh, M., & Kanter, I. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.024102 · Cited by 424 · see citing works

A generator for unique quantum random numbers based on vacuum states

Gabriel, C., Wittmann, C., Sych, D., Dong, R., Mauerer, W., Andersen, U. L., Marquardt, C., & Leuchs, G. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.197 · Cited by 419 · see citing works

High-speed quantum random number generation by measuring phase noise of a single-mode laser

Qi, B., Chi, Y.-M., Lo, H.-K., & Qian, L. (2010) · Optics Letters · doi:10.1364/ol.35.000312 · Cited by 290 · see citing works

Postprocessing for quantum random-number generators: Entropy evaluation and randomness extraction

Ma, X., Xu, F., Xu, H., Tan, X., Qi, B., & Lo, H.-K. (2013) · Physical Review A · doi:10.1103/physreva.87.062327 · Cited by 241 · see citing works

Spin dice: A scalable truly random number generator based on spintronics

Fukushima, A., Seki, T., Yakushiji, K., Kubota, H., Imamura, H., Yuasa, S., & Ando, K. (2014) · Applied Physics Express · doi:10.7567/apex.7.083001 · Cited by 238 · see citing works

Fast physical random number generator using amplified spontaneous emission

Williams, C. R. S., Salevan, J. C., Li, X., Roy, R., & Murphy, T. E. (2010) · Optics Express · doi:10.1364/oe.18.023584 · Cited by 229 · see citing works

Ultrafast quantum random number generation based on quantum phase fluctuations

Xu, F., Qi, B., Ma, X., Xu, H., Zheng, H., & Lo, H.-K. (2012) · Optics Express · doi:10.1364/oe.20.012366 · Cited by 228 · see citing works

Self-Testing Quantum Random Number Generator

Lunghi, T., Brask, J. B., Lim, C. C. W., Lavigne, Q., Bowles, J., Martin, A., Zbinden, H., & Brunner, N. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.150501 · Cited by 206 · see citing works

True random numbers from amplified quantum vacuum

Jofre, M., Curty, M., Steinlechner, F., Anzolin, G., Torres, J. P., Mitchell, M. W., & Pruneri, V. (2011) · Optics Express · doi:10.1364/oe.19.020665 · Cited by 180 · see citing works

Secure Key Distribution Using Correlated Randomness in Lasers Driven by Common Random Light

Yoshimura, K., Muramatsu, J., Davis, P., Harayama, T., Okumura, H., Morikatsu, S., Aida, H., & Uchida, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.070602 · Cited by 174 · see citing works

On-chip generation of high-order single-photon W-states

Gräfe, M., Heilmann, R., Perez-Leija, A., Keil, R., Dreisow, F., Heinrich, M., Moya-Cessa, H., Nolte, S., Christodoulides, D. N., & Szameit, A. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.204 · Cited by 148 · see citing works

Scalable parallel physical random number generator based on a superluminescent LED

Li, X., Cohen, A. B., Murphy, T. E., & Roy, R. (2011) · Optics Letters · doi:10.1364/ol.36.001020 · Cited by 146 · see citing works

Robust random number generation using steady-state emission of gain-switched laser diodes

Yuan, Z. L., Lucamarini, M., Dynes, J. F., Fröhlich, B., Plews, A., & Shields, A. J. (2014) · Applied Physics Letters · doi:10.1063/1.4886761 · Cited by 129 · see citing works

Fast Physical Random-Number Generation Based on Room-Temperature Chaotic Oscillations in Weakly Coupled Superlattices

Li, W., Reidler, I., Aviad, Y., Huang, Y., Song, H., Zhang, Y., Rosenbluh, M., & Kanter, I. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.044102 · Cited by 79 · see citing works

Solution-Processed Carbon Nanotube True Random Number Generator

Gaviria Rojas, W. A., McMorrow, J. J., Geier, M. L., Tang, Q., Kim, C. H., Marks, T. J., & Hersam, M. C. (2017) · Nano Letters · doi:10.1021/acs.nanolett.7b02118 · Cited by 48 · see citing works

Random and Pseudorandom Sequences

Kneusel, R. T. (2018) · Springer eBooks · doi:10.1007/978-3-319-77697-2_1 · Cited by 2 · see citing works

Design and Analysis of a Pseudo-Random Number Generator (PRNG) Using 2D Chaotic Mapping for Enhanced Randomness

Hu, J. (2023) · International Conference on Computer Science, Electronic Information Engineering and Intelligent Control Technology (CEI) · doi:10.1109/cei60616.2023.10527950 · Cited by 1 · see citing works

SOURCES OF RANDOMNESS FOR USE IN RANDOM NUMBER GENERATION

Fragopoulos, A., & Serpanos, D. N. (2014) · International Journal of Computing · doi:10.47839/ijc.4.2.337

A pseudorandom generator construction based on randomness extractors and combinatorial designs

Mahabadi, L. A. (2006) · Summit (Simon Fraser University)

Enhancing the Randomness of a Combined True Random Number Generator Based on the Ring Oscillator Sampling Method

Jessa, M., & Matuszewski, Ł. (2011) · International Conference on ReConFigurable Computing and FPGAs (ReConFig) · doi:10.1109/reconfig.2011.35 · Cited by 36 · see citing works