Abstract
Designing non-committing encryptions tolerating adaptive adversaries, who are able to corrupt parties on the fly in the course of computation has been a challenge task. In this paper, we make progress in this area. First, we introduce a new notion called oblivious Naor-Pinkas cryptosystems that benefits us to extract the randomness used to generate local public keys and thus enable us to construct corresponding simulator for a given adaptive adversary in a real-world protocol. We then give a simple construction of non-committing encryptions based on oblivious Naor-Pinkas cryptosystems. We show that the proposed non-committing encryption scheme is provably secure against an adaptive PPT adversary assuming that the decisional Diffie-Hellman problem is hard.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Beaver, D.: Plug and Play Encryption. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 75–89. Springer, Heidelberg (1997)
Beaver, D., Haber, S.: Cryptographic Protocols Provably Secure Against Dynamic Adversaries. In: Rueppel, R.A. (ed.) EUROCRYPT 1992. LNCS, vol. 658, pp. 307–323. Springer, Heidelberg (1993)
Ben-Or, M., Goldwasser, S., Wigderson, A.: Completeness Theorems for Non-Cryptographic Fault-Tolerant Distributed Computation (Extended Abstract). In: STOC 1988, pp. 1–10 (1998)
Canetti, R., Feige, U., Goldreich, O., Naor, M.: Adaptively Secure Multi-Party Computation. In: STOC 1996, pp. 639–648 (1996)
Canetti, R.: A new paradigm for cryptographic protocols. In: FOCS 2001, pp. 136–145 (2001)
Chaum, D., Crépeau, C., Damgård, I.: Multiparty Unconditionally Secure Protocols (Abstract). In: Pomerance, C. (ed.) CRYPTO 1987. LNCS, vol. 293, p. 462. Springer, Heidelberg (1988)
Damgård, I.B., Nielsen, J.B.: Improved non-committing encryption schemes based on a general complexity assumption. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 432–450. Springer, Heidelberg (2000)
De Santis, A., Persiano, G.: Zero-Knowledge Proofs of Knowledge Without Interaction (Extended Abstract). In: FOCS 1992, pp. 427–436 (1992)
Freedman, M.J., Ishai, Y., Pinkas, B., Reingold, O.: Keyword search and oblivious pseudorandom functions. In: Kilian, J. (ed.) TCC 2005. LNCS, vol. 3378, pp. 303–324. Springer, Heidelberg (2005)
Garay, J., Wichs, D., Zhou, H.-S.: Somewhat Non-Committing Encryption and Efficient Adaptively Secure Oblivious Transfer. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 231–249. Springer, Heidelberg (2009)
Goldreich, O., Micali, S., Wigderson, A.: Proofs that Yield Nothing But their Validity and a Methodology of Cryptographic Protocol Design (Extended Abstract). In: FOCS 1986, pp. 174–187 (1986)
Goldreich, O., Micali, S., Wigderson, A.: How to Play any Mental Game or A Completeness Theorem for Protocols with Honest Majority. In: STOC 1987, pp. 218–229 (1987)
Lindell, Y., Pinkas, B.: Privacy Preserving Data Mining. J. Cryptology 15(3), 177–206 (2002)
Naor, M., Pinkas, B.: Efficient oblivious transfer protocols. In: SODA 2001, pp. 448–457 (2001)
Peikert, C., Vaikuntanathan, V., Waters, B.: A framework for efficient and composable oblivious transfer. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol. 5157, pp. 554–571. Springer, Heidelberg (2008)
Pinkas, B.: Cryptographic Techniques for Privacy-Preserving Data Mining. SIGKDD Explorations 4(2), 12–19 (2002)
Nielsen, J.B.: Separating random oracle proofs from complexity theoretic proofs: The non-committing encryption case. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 111–126. Springer, Heidelberg (2002)
Yao, A.C.-C.: Protocols for Secure Computations (Extended Abstract). In: FOCS 1982, pp. 160–164 (1982)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhu, H., Bao, F. (2009). Non-committing Encryptions Based on Oblivious Naor-Pinkas Cryptosystems. In: Roy, B., Sendrier, N. (eds) Progress in Cryptology - INDOCRYPT 2009. INDOCRYPT 2009. Lecture Notes in Computer Science, vol 5922. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10628-6_27
Download citation
DOI: https://doi.org/10.1007/978-3-642-10628-6_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10627-9
Online ISBN: 978-3-642-10628-6
eBook Packages: Computer ScienceComputer Science (R0)