Abstract
In order to solve the security problem of ECC cryptosystem, the security deficiency of elliptic curve encryption is described firstly in this paper. Then, the method of OAEP (Optimal Asymmetric Encryption Padding) in the random oracle model is adopted to enhance the security of the existing ECC encryption system. An improved encryption padding scheme for ECC cryptosystem, namely EOAEP (ECC OAEP), is proposed and designed in this paper, Under the one-way assumption of encryption function, it has been proved that our scheme satisfies adaptive chosen ciphertext security by using the Game-Hopping technology according to the random oracle model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Diffile, W., Hellman, M.E.: New directions in cryptography. IEEE Trans. Inf. Theory 22, 644–654 (1976)
Balamurugan, R., Kamalakannan, V., Rahul, G.D., et al.: Enhancing security in text messages using matrix based mapping and ElGamal method in elliptic curve cryptography. In: International Conference on Contemporary Computing and Informatics (IC3I 2014), pp. 103–106. IEEE Press, Mysore (2014)
Zode, P., Deshmukh, R.B.: Side channel attack resistant architecture for elliptic curve cryptography. In: 2015 19th International Symposium on VLSI Design and Test (VDAT 2015), pp. 1–2. IEEE Press, Ahmedabad (2015)
Bauer, A., Jaulmes, E., Prouff, E., et al.: Horizontal collision correlation attack on elliptic curves. Cryptogr. Commun. 7(1), 91–119 (2015)
Bellare, M., Rogaway, P.: Random oracles are practical: a paradigm for designing efficient protocols. In: Proceedings of the First Annual Conference on Computer and Communications Security, pp. 62–73. ACM (1993)
Bellare, M.: Practice-oriented provable-security. In: Proceedings of First International Workshop on Information Security (ISW 97). LNCS 1561, pp. 1–15. Springer (1999)
Mou, N., Hu, Y., Wang, B.: EPN: encryption padding for NTRU with provable security. J. Commun. 29(10), 3–7 (2008)
Ting, H.-Y., Huang, C.-T.: Design of low-cost elliptic curve cryptographic engines for ubiquitous security. In: 2014 International Symposium on VLSI Design, Automation and Test (VLSI-DAT 2014), April 2014, pp. 1–4. IEEE Press, Hsinchu (2014)
Eiichiro, F., Tatsuaki, O.: RSA-OAEP is secure under the RSA assumption. J. Cryptol. 17, 81–104 (2004)
Chen, Y.: Study of Public Key Encryption and Mixed Encryption with Provable Security. Xidian University (2006)
Phan, D.H.: Point cheval D.OAEP 3-round: a generic and secure asymmetric encryption padding. In: Proceedings of the Advances in Cryptology ASIACRYPT 2004, Jeju Island, Korea, pp. 63–77 (2004)
Trujillo Olaya, V., Sherwood, T., Koç, Ç.K.: Analysis of performance versus security in hardware realizations of small elliptic curves for lightweight applications. J. Cryptogr. Eng. 2(3), 179–188 (2012)
Boldyreva, A., Imai, H., Kobara, K.: How to strengthen the security of RSA-OAEP. IEEE Trans. Inf. Theory 56(11), 5876–5886 (2010). (IEEE Press)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (No. 61370188); Beijing Higher Education Young Elite Teacher Project; Fundamental Research Funds for the Central Universities (No. 2016CL09); Research Funds of Information Security Key Laboratory of Beijing Electronic Science and Technology Institute. The authors thank the anonymous referees for their helpful comments.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Yatao, Y., Fengjuan, Z., Zichen, L., Yaze, Z. (2018). Improved Encryption Padding for ECC System with Provable Security. In: Mizera-Pietraszko, J., Pichappan, P. (eds) Lecture Notes in Real-Time Intelligent Systems. RTIS 2016. Advances in Intelligent Systems and Computing, vol 613. Springer, Cham. https://doi.org/10.1007/978-3-319-60744-3_25
Download citation
DOI: https://doi.org/10.1007/978-3-319-60744-3_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-60743-6
Online ISBN: 978-3-319-60744-3
eBook Packages: EngineeringEngineering (R0)