Abstract
In this paper, we consider the security of twin Hybrid ElGamal (THEG) scheme when instantiated over the group of signed quadratic residues. In random oracle model, the scheme is proved IND-CCA secure under composite computation Diffie-Hellman assumption, which is at least as hard as factoring. In the standard model, we give a more tight security reduction for THEG, using a new hash proof system, than that of Hybrid ElGamal (HEG) in [4]. Therefore, THEG can be instantiated over smaller RSA modulus than HEG, which results in shorter ciphertexts for the same bit security and hence reduces the communication complexity of encrypted data transmitted over public communication lines.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abdalla, M., Bellare, M., Rogaway, P.: The oracle Diffie-Hellman assumptions and an analysis of DHIES. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, vol. 2020, pp. 143–158. Springer, Heidelberg (2001)
Cash, D.M., Kiltz, E., Shoup, V.: The twin diffie-hellman problem and applications. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 127–145. Springer, Heidelberg (2008)
Kiltz, E., Pietrzak, K., Stam, M., Yung. M.: A New Randomness Extraction Paradigm for Hybrid Encryption. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 589–608. Springer, Heidelberg (2010)
Hofheinz, D., Kiltz, E.: The group of signed quadratic residues and applications. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 637–653. Springer, Heidelberg (2009)
Rackoff, C., Simon, R.: Non-interactive zero-knowledge proof of knowledge and chosen ciphertext attack. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 433–444. Springer, Heidelberg (1992)
Shmuely, Z.: Composite diffie-hellman public-key generating systems are hard to break. Technical Report 356, Computer Science Department, Technion, Israel (1985)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cui, Y., Liu, Y. (2010). Twin Hybrid ElGamal Encryption over Signed Quadratic Residue Groups. In: Pandurangan, G., Anil Kumar, V.S., Ming, G., Liu, Y., Li, Y. (eds) Wireless Algorithms, Systems, and Applications. WASA 2010. Lecture Notes in Computer Science, vol 6221. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14654-1_35
Download citation
DOI: https://doi.org/10.1007/978-3-642-14654-1_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14653-4
Online ISBN: 978-3-642-14654-1
eBook Packages: Computer ScienceComputer Science (R0)