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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Welsh, D.: Codes and Cryptography, p. 257. Oxford University Inc., New York (1998)
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
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
Cho, S., Kim, D., Choi, J.: Block-wise concatenated bch codes for NAND flash memories. IEEE Trans. Commun. 62, 1164–1177 (2014)
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)
Kocher, P., Jaffe, J., Jun, B.: Introduction to Differential Power Analysis and related attacks. Journal of Cryptographic Engineering 1(1), 5–27 (2011)
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)
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)
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
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
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
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
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)
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)
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
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)
Cramer, R., S. Fehr, Padro, C.: Algebraic manipulation detection codes, Sci. China Math, vol. 56, no. 7, (2013) 1349–1358
Karpovsky, M.G., Taubin, A.: A new class of nonlinear systematic error detecting codes. IEEE Trans. Info. Theory 50(8), 1818–1820 (2004)
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)
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)
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
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
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
DOI: https://doi.org/10.1007/978-981-13-9920-6_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-9919-0
Online ISBN: 978-981-13-9920-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)