Citation: | ZHU Shaofeng, XI Wei, FAN Limin, et al., “Sequence-Oriented Stochastic Model of RO-TRNGs for Entropy Evaluation,” Chinese Journal of Electronics, vol. 29, no. 2, pp. 371-377, 2020, doi: 10.1049/cje.2019.12.010 |
P. Wang, Z. Li, G. Li, X. Cheng, et al., “Design of true random number generator based on VCO”, Acta Electronica Sinica, Vol.47, No.2, pp.417-421, 2019. (in Chinese)
|
B. Li, C. Zhou, S. Chen, et al., “FPGA Implementation of Pseudo-Random Number Generator for SRAM PUFs”, Acta Electronica Sinica, Vol.45, No.9, pp.2106-2112, 2017. (in Chinese)
|
B. Valtchanov, A. Aubert, F. Bernard, et al., “Modeling and observing the jitter in ring oscillators implemented in FPGAs”, Proc. of the 11th IEEE Workshop on Design and Diagnostics of Electronic Circuits and Systems, Bratislava, Slovakia, pp.158-163, 2008.
|
B. Sunar, W.J. Martin and D.R. Stinson, “A provably secure true random number generator with built-in tolerance to active attacks”, IEEE Trans. Computers, Vol.56, No.1, pp.109-119, 2007.
|
K. Wold and C.H. Tan, “Analysis and enhancement of random number generator in FPGA based on oscillator rings”, International Conference on Reconfigurable Computing and FPGAs, Washington, DC, USA pp.385-390, 2008.
|
W. Killmann and W. Schindler, “A Design for a physical RNG with robust entropy estimators”, Cryptographic Hardware and Embedded Systems, Washington, DC, USA, pp.146-163, 2008.
|
Y. Ma, J. Lin, T. Chen, et al., “Entropy evaluation for oscillator-based true random number generators”, Cryptographic Hardware and Embedded Systems, Busan, South Korea, pp.544-561, 2014.
|
M. Baudet, D. Lubicz, J. Micolod, et al., “On the security of oscillator-based random number generators”, Journal of Cryptology, Vol.24, No.2, pp.398-425, 2011.
|
T. Amaki, M. Hashimoto, Y. Mitsuyama, et al., “A design procedure for oscillator-based hardware random number generator with stochastic behavior modeling”, Proc. of the 11th International Conference on Information Security Applications, Jeju Island, Korea, pp.107-121, 2010.
|
Y. Ma, J. Lin and J. Jing, “On the entropy of oscillator-based true random number generators”, Topics in Cryptology-CTRSA 2017, San Francisco, CA, USA, pp.165-180, 2017.
|
T.W. Aderson and L.A. Goodman, “Statistical inference about Markov chains”, Annals of Mathematical Statistics, Vol.28, No.1, pp.89-110, 1957.
|
B. Tan and K. Yilmaz, “Markov chain test for time dependence and homogeneity: An analytical and empirical evaluation”, European Journal of Operational Research, Vol.137, No.3, pp.524-543, 2002.
|
S.K. Yoo, D. Karakoyunlu, B. Birand, et al., “Improving the Robustness of Ring Oscillator TRNGs”, ACM Transactions on Reconfigurable Technology and Systems, Vol.3, No.2, pp.9:1-9:30, 2010.
|
P. Haddad, Y. Teglia, F. Bernard, et al., “On the assumption of mutual independence of jitter realizations in P-TRNG stochastic models”, Design, Automation and Test in Europe Conference and Exhibition, Dresden, Germany, pp.1-6, 2014.
|
W. Killmann and W. Schindler, “AIS 31: A proposal for: Functionality classes for random number generators Version 2.0”, available at https://www.bsi.bund.de/SharedDocs/Downloads/DE/BSI/Zertifizierung/Interpretationen/AIS_31_Functionality_classes_for_random_number_generators_e.html, 2011-9-21.
|
A. Rukhin, J. Soto, J. Nechvatal, et al., “ A statistical test suite for random and pseudorandom number generators for cryptographic applications”, available at http://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication800-22r1a.pdf, 2010-4-27.
|
M.S. Turan, E. Barker, J. Kelsey, et al., “Recommendation for the entropy sources used for random bit generation”, available at https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-90B.pdf, 2018-1.
|