Skip to main content

New Modes of Using Block Ciphers: Error Correction and Pseudo-probabilistic Encryption

  • Conference paper
  • First Online:
Frontiers in Intelligent Computing: Theory and Applications

Abstract

There are proposed two novel modes for using block ciphers that provides to perform error correction in the case of sending data via a noisy channel. In one of the modes, data encryption is combined with error correction coding. At the first stage of this mode, it is performed block encryption and then at the second stage, the intermediate ciphertext block is converted into the expanded block of the output ciphertext depending on the encryption key. In the second proposed mode, pseudo-probabilistic block encryption is combined with error correction coding in the single cryptoscheme. For providing the possibility to correct errors in specified redundancy, labels are concatenated to the intermediate ciphertext blocks. Then the labels and the intermediate ciphertext blocks are simultaneously transformed into the final ciphertext blocks that are computed as solution of the system of the linear equations and of the system of the linear congruencies.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Welsh, D.: Codes and Cryptography, p. 257. Oxford University Inc., New York (1998)

    MATH  Google Scholar 

  2. Levina, A.B., Kuzmin, I., Taranov, S.V.: Reed Solomon Codes and its Application for Cloud Storage System. In: 3rd International Conference on Future Generation Communication Technologies, FGCT 2014 (2014) 46–49

    Google Scholar 

  3. Wang, Z., Karpovsky, M.G.: Reliable and secure memories based on algebraic manipulation correction codes. In: On-Line Testing Symposium (IOLTS), 2012 IEEE 18th International (2012) 146–149

    Google Scholar 

  4. Cho, S., Kim, D., Choi, J.: Block-wise concatenated bch codes for NAND flash memories. IEEE Trans. Commun. 62, 1164–1177 (2014)

    Article  Google Scholar 

  5. Kulikowski, K.J., Karpovsky, M.G., Taubin, A.: Fault Attack Resistant Cryptographic Hardware with Uniform Error Detection. Lect. Notes Comput. Sci. 4236, 185–195 (2006)

    Article  MathSciNet  Google Scholar 

  6. Kocher, P., Jaffe, J., Jun, B.: Introduction to Differential Power Analysis and related attacks. Journal of Cryptographic Engineering 1(1), 5–27 (2011)

    Article  Google Scholar 

  7. Wang, Z., Karpovsky, M.G.: New Error Detecting Codes for the Design of Hardware Resistant to Strong Fault Injection Attacks. In: Proc. Int. Conference on Security and management, SAM (2012)

    Google Scholar 

  8. Moldovyan, N.A., Moldovyan A.A., Tam, N.D., Hai, N.N., Minh, N.H.: Pseudo-probabilistic block ciphers and their randomization. Journal of Ambient Intelligence and Humanized Computing (2018)

    Google Scholar 

  9. Moldovyan, N.A., Al-Majmar, N.A., Tam, N.D., Hai, N.N., Minh, N.H.: Deniability of Symmetric Encryption Based on Computational Indistinguishability from Probabilistic Ciphering. In: Information Systems Design and Intelligent Applications: Proceedings of the Fourth International Conference INDIA 2017, Advances in Intelligent Systems and Computing. Springer Nature Singapore Pte Ltd. vol. 672, (2018) 209–218

    Google Scholar 

  10. Canetti, R., Dwork, C., Naor, M., Ostrovsky, R.: Deniable Encryption. Proceedings Advances in Cryptology – CRYPTO 1997. Lecture Notes in Computer Science. Springer – Verlag. Berlin, Heidelberg, New York (1997) 90–104

    Google Scholar 

  11. Hwang, T., Rao, T.R.N.: Secret error-correcting codes (SECC), in Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology (CRYPTO 88), Santa Barbara, Calif., USA, (1988) 540–563

    Google Scholar 

  12. Godoy, Jr.W., Pereira, Jr.D.: A proposal of a cryptography algorithm with techniques of error correction, Computer Communications, vol. 20, no. 15, (1997) 1374–1380

    Google Scholar 

  13. Mathur, C.N., Narayan, K., Subbalakshmi, K.: High Diffusion Codes: A Class of Maximum Distance Separable Codes for Error Resilient Block Ciphers. In: 2nd IEEE International Workshop on Adaptive Wireless Networks (AWiN), Globecom (2005)

    Google Scholar 

  14. Mathur, C.N., Narayan, K., Subbalakshmi, K.P.: On the Design of Error Correcting Ciphers. EURASIP Journal on Wireless Communications and Networking 2005, 1–12 (2006)

    Google Scholar 

  15. Moldovyan, N., Levina, A., Taranov, S.: Symmetric Encryption for Error Correction. In: Proceedings of the 20th FRUCT’20 Conference, Saint-Petersburg Electrotechnical University “LETI” and Technopark of ITMO University, Saint-Petersburg, Russia (2017) 290–295

    Google Scholar 

  16. Cramer, R., Dodis, Y., Fehr, S., Padro, C., Wichs, D.: Detection of algebraic manipulation with application to robust secret sharing and fuzzy extractors. Lecture Notes in Comput. Sci. 4965, 471–488 (2008)

    Article  MathSciNet  Google Scholar 

  17. Cramer, R., S. Fehr, Padro, C.: Algebraic manipulation detection codes, Sci. China Math, vol. 56, no. 7, (2013) 1349–1358

    Google Scholar 

  18. Karpovsky, M.G., Taubin, A.: A new class of nonlinear systematic error detecting codes. IEEE Trans. Info. Theory 50(8), 1818–1820 (2004)

    Article  MathSciNet  Google Scholar 

  19. Levina, A.B., Taranov, S.V.: Algorithms of constructing linear and robust codes based on wavelet decomposition and its application. Lect. Notes Comput. Sci. 9084, 247–258 (2015)

    Article  MathSciNet  Google Scholar 

  20. Levina, A.B., Taranov, S.V.: Creation of codes based on wavelet transformation and its application in ADV612 chips. Int. J. Wavelets Multiresolut. Inf. Process. 15(2), 175–181 (2017)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

The reported study was funded by Russian Foundation for Basic Research (project #18-57-54002-Viet_a) and by Vietnam Academy of Science and Technology (project # QTRU01.08/18-19).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hieu Minh Nguyen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Moldovyan, D.N., Moldovyan, N.A., Ho, S.T., Le, Q.M., Nguyen, L.G., Nguyen, H.M. (2020). New Modes of Using Block Ciphers: Error Correction and Pseudo-probabilistic Encryption. In: Satapathy, S., Bhateja, V., Nguyen, B., Nguyen, N., Le, DN. (eds) Frontiers in Intelligent Computing: Theory and Applications. Advances in Intelligent Systems and Computing, vol 1014. Springer, Singapore. https://doi.org/10.1007/978-981-13-9920-6_6

Download citation

Publish with us

Policies and ethics