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RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES

Year 2019, Volume: 3 Issue: 2, 124 - 127, 31.08.2019

Abstract

The development of computational technology and the
growing needs of Internet resources are putting forward new demands on the
quality of service for users of global and local computational networks based
on Ethernet technologies. The main criteria for the quality of network user
service are reliability and security. To ensure reliability, as a rule, methods
based on jam resistant coding or protocols with decision-making feedback are
used. For security, cryptographic protocols for symmetric and asymmetric
cryptography, hashing algorithms and digital signatures are used. Random number
generators occupy a special place among the mechanisms that ensure the
reliability and security. This work discusses the methods of forming sequences
of pseudo-random numbers (SPRN), the stability of which is based on the
theoretical complexity problem of syndromic decoding. Periodic properties of
generators are investigated, it is determined that the formed sequences do not
have a maximum period.

References

  • 1. Kuznetsov, A., Korolev, V., “Investigation of the statistical safety of pseudorandom number generators”, System processing information "HUPS", v. 3, n. 70, pp. 79 – 82, 2008.
  • 2. Ivanov, M., “Theory, application and quality assessment of pseudo-random sequence generators”, 240 p., KUDITS-IMAGE, 2003.
  • 3. Popovsky, V., “Information security in telecommunication systems”, Kharkiv National University of Radio Electronics, Company Smith Company, 238 p. 2006.
  • 4. Blum, L., “A Simple Unpredictable Pseudo-Random Number Generator”, Siam Journal on Computing, v.15, n.2, pp.364-386, 1986.
  • 5. Schneier, B., “Applied cryptography. Protocols, algorithms, source texts in the C language”, 819 p., Publishing house TRIUMPH, 2002.
  • 6. Final report of European project number IST-1999-12324, named New European Schemes for Signatures, Integrity, and Encryption, v. 0.15 (beta), Springer-Verlag, p 829, 2004.
  • 7. A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications. NIST Special Publication 800-22. Technology Administration U.S. Department of Commerce. – Washington: National Institute of Standards and Technology, р. 164, 2000.
  • 8. National Institute of Standards and Technology, “FIPS-197: Advanced Encryption Standard.” Nov. 2001. Available at: http://csrc.nist.gov/publications/fips/ fips197/fips-197.pdf
  • 9. Fisher, J., Stern, J., “An efficient Pseudo-Random Generator Provably as Secure as Syndrome Decoding”, EUROCRYPT’96 Proceeding, LNCS 1070, p. 245 – 255.
  • 10. McWilliams, F.J., Sloan, N.J.A, “The theory of error correction codes”, 744 p., Communication, 1979.

RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES

Year 2019, Volume: 3 Issue: 2, 124 - 127, 31.08.2019

Abstract

The development of computational technology and the
growing needs of Internet resources are putting forward new demands on the
quality of service for users of global and local computational networks based
on Ethernet technologies. The main criteria for the quality of network user
service are reliability and security. To ensure reliability, as a rule, methods
based on jam resistant coding or protocols with decision-making feedback are
used. For security, cryptographic protocols for symmetric and asymmetric
cryptography, hashing algorithms and digital signatures are used. Random number
generators occupy a special place among the mechanisms that ensure the
reliability and security. This work discusses the methods of forming sequences
of pseudo-random numbers (SPRN), the stability of which is based on the
theoretical complexity problem of syndromic decoding. Periodic properties of
generators are investigated, it is determined that the formed sequences do not
have a maximum period.

References

  • 1. Kuznetsov, A., Korolev, V., “Investigation of the statistical safety of pseudorandom number generators”, System processing information "HUPS", v. 3, n. 70, pp. 79 – 82, 2008.
  • 2. Ivanov, M., “Theory, application and quality assessment of pseudo-random sequence generators”, 240 p., KUDITS-IMAGE, 2003.
  • 3. Popovsky, V., “Information security in telecommunication systems”, Kharkiv National University of Radio Electronics, Company Smith Company, 238 p. 2006.
  • 4. Blum, L., “A Simple Unpredictable Pseudo-Random Number Generator”, Siam Journal on Computing, v.15, n.2, pp.364-386, 1986.
  • 5. Schneier, B., “Applied cryptography. Protocols, algorithms, source texts in the C language”, 819 p., Publishing house TRIUMPH, 2002.
  • 6. Final report of European project number IST-1999-12324, named New European Schemes for Signatures, Integrity, and Encryption, v. 0.15 (beta), Springer-Verlag, p 829, 2004.
  • 7. A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications. NIST Special Publication 800-22. Technology Administration U.S. Department of Commerce. – Washington: National Institute of Standards and Technology, р. 164, 2000.
  • 8. National Institute of Standards and Technology, “FIPS-197: Advanced Encryption Standard.” Nov. 2001. Available at: http://csrc.nist.gov/publications/fips/ fips197/fips-197.pdf
  • 9. Fisher, J., Stern, J., “An efficient Pseudo-Random Generator Provably as Secure as Syndrome Decoding”, EUROCRYPT’96 Proceeding, LNCS 1070, p. 245 – 255.
  • 10. McWilliams, F.J., Sloan, N.J.A, “The theory of error correction codes”, 744 p., Communication, 1979.
There are 10 citations in total.

Details

Primary Language English
Subjects Industrial Engineering
Journal Section Research Article
Authors

Serhii Yevseiev 0000-0003-1647-6444

Roman Korolev This is me 0000-0002-7948-5914

Publication Date August 31, 2019
Submission Date April 20, 2019
Published in Issue Year 2019 Volume: 3 Issue: 2

Cite

APA Yevseiev, S., & Korolev, R. (2019). RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES. International Journal of 3D Printing Technologies and Digital Industry, 3(2), 124-127.
AMA Yevseiev S, Korolev R. RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES. IJ3DPTDI. August 2019;3(2):124-127.
Chicago Yevseiev, Serhii, and Roman Korolev. “RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES”. International Journal of 3D Printing Technologies and Digital Industry 3, no. 2 (August 2019): 124-27.
EndNote Yevseiev S, Korolev R (August 1, 2019) RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES. International Journal of 3D Printing Technologies and Digital Industry 3 2 124–127.
IEEE S. Yevseiev and R. Korolev, “RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES”, IJ3DPTDI, vol. 3, no. 2, pp. 124–127, 2019.
ISNAD Yevseiev, Serhii - Korolev, Roman. “RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES”. International Journal of 3D Printing Technologies and Digital Industry 3/2 (August 2019), 124-127.
JAMA Yevseiev S, Korolev R. RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES. IJ3DPTDI. 2019;3:124–127.
MLA Yevseiev, Serhii and Roman Korolev. “RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES”. International Journal of 3D Printing Technologies and Digital Industry, vol. 3, no. 2, 2019, pp. 124-7.
Vancouver Yevseiev S, Korolev R. RESEARCH OF PERIODIC PROPERTIES OF PSEUDO-ACCIDENTAL NUMBERS GENERATORS, BASED ON THE USE OF EXCESS BLOCK CODES. IJ3DPTDI. 2019;3(2):124-7.

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