Analysis of the possibility of increasing the degree of randomness of noise using a continuous wavelet transform on the example of a sequence of numbers generated by an optical random noise generator

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription or Fee Access

Abstract

The possibilities of controlling the parameters of random number sequences using a continuous wavelet transform are investigated. It is shown that changing the energy of the scales of the continuous wavelet transform can increase the percentage of passing the NIST LongestRun, FFT and Runs tests. The possibility of increasing the percentage of passing tests has been demonstrated for various sizes of the experimental sequence of random numbers under study.

Full Text

Restricted Access

About the authors

M. E. Sibgatullin

Kazan National Research Technical University; Tatarstan Academy of Sciences

Author for correspondence.
Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan; Kazan

D. A. Mavkov

Kazan National Research Technical University

Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan

L. R. Gilyazov

Kazan National Research Technical University

Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan

N. M. Arslanov

Kazan National Research Technical University

Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan

References

  1. Herrero-Collantes M., Garcia-Escartin J.C. // Rev. Modern Phys. 2017. V. 89. No. 1. Art. No. 015004.
  2. Mannalatha V., Mishra S., Pathak A. // Quantum Inf. Process. 2023. V. 22. Art. No. 439.
  3. Kim T., Lee S., Yun S. et al. // Proc. 23rd Int. Conf. WISA 2022 (Jeju Island, 2022). P. 277.
  4. Petrie C.S., Connelly J.A. // IEEE TCAS-I. 2000. V. 47. No. 5. P. 615.
  5. Katsoprinakis G., Polis M., Tavernarakis A. et al. // Phys. Rev. A. 2008. V. 77. Art. No. 054101.
  6. Argillander J., Alarcón A., Xavier G. // J. Optics. 2022. V. 24. Art. No. 064010.
  7. Khanmohammadi A., Enne R., Hofbauer M. et al. // IEEE Photonics J. 2015. V. 7. No. 5. P. 1.
  8. Grosshans F., Van Assche G., Wenger J. et al. // Nature. 2003. V. 421. P. 238.
  9. Symul T., Assad S.M., Lam P.K. // Appl. Phys. Lett. 2011. V. 98. Art. No. 231103.
  10. Балыгин К.А., Кулик С.П., Молотков С.Н. // Письма в ЖЭТФ. 2024. Т. 119. № 7. С. 533, Balygin K.A., Kulik S.P., Molotkov S.N. // JETP Lett. 2024. V. 119. No. 7. P. 538.
  11. Bikos A., Nastou P., Petroudis G., Stamatiou Y. // Criptography. 2023. V. 7. No. 4. P. 54.
  12. Сибгатуллин М.Э., Гилязов Л.Р., Мавков Д.А., Арсланов Н.М. // Изв. РАН. Сер. физ. 2023. Т. 87. № 12. С. 1796, Sibgatullin M.E., Gilyazov L.R., Mavkov D.A., Arslanov N.M. // Bull. Russ. Acad. Sci. Phys. 2023. V. 87. No. 12. P. 1869.
  13. Strydom C., Soleymani S., Özdemir Ş.K., Tame M.S. // New J. Phys. 2024. No. 26. Art. No. 043002.
  14. Евстифеев Е.В., Москаленко О.И. // Изв. РАН. Сер. физ. 2020. Т. 84. № 2. С. 300, Evstifeev E.V., Moskalenko O.I .// Bull. Russ. Acad. Sci. Phys. 2020. V. 84. No. 2. P. 230.
  15. Захаров В.М., Шалагин С.В., Гумиров А.И. // Вест. Дагестан. гос. ун-та. Сер. 1. Естеств. науки. 2023. Т. 38. № 3. С. 28.
  16. Obadi A.B., Zeghid M., Kan P.L.E. // EEE Access. 2022. V. 10. P. 126767.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download
2. Fig. 1. Dependence of the percentage of sequences that successfully passed the NIST test on the number of scales of the continuous wavelet transform for which energy equalization was performed: FFT test, mean equalization (a), FFT test, minimum equalization (b), LongestRun test, mean equalization (c), LongestRun test, minimum equalization (d), Runs test, mean equalization (e), Runs test, minimum equalization (e).

Download (438KB)
Indexing metadata

Copyright (c) 2024 Russian Academy of Sciences