Abstract
We present a new design principle for building a batch processing protocol for interactive proofs. First, a generic method to achieve batch processing is proposed when dealing with an NP-relation with certain homomorphicity. It is shown that the method preserves zero-knowledgeness and knowledge-soundness. Second, for some NP-relation that has no such homomorphicity, we illustrate that the relation can be decomposed into a homomorphic relation(hence we have a batch process) and another NP-relation that is proven using an efficient protocol. Such a decomposition provides an advantage in terms of efficiency.
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
Bellare, M., Garay, J., Rabin, T.: Fast Batch Verification for Modular Exponentiation and Digital Signatures. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 236–250. Springer, Heidelberg (1998)
Boneh, D., Franklin, M.: Identity based encryption from the Weil pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213–229. Springer, Heidelberg (2001)
Brickell, E., Gordon, D., McCurley, K., Wilson, D.: Fast exponentiation with precomputation. In: Rueppel, R.A. (ed.) EUROCRYPT 1992. LNCS, vol. 658, pp. 200–207. Springer, Heidelberg (1993)
Cramer, R., Damgård, I., Schoenmakers, B.: Proofs of partial knowledge and simplified design of witness hiding protocols. In: Desmedt, Y.G. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 174–187. Springer, Heidelberg (1994)
Cramer, R.: Modular Design of Secure yet Practical Cryptographic Protocols, Ph.D. thesis, CWI and U. of Amsterdam (1996)
Fiat, A.: Batch RSA. Journal of Cryptology 10, 75–88 (1997)
Gennaro, R., Leigh, D., Sundaram, R., Yerazunis, W.: Batching Schnorr identification scheme with applications to privacy-preserving authorization and low-bandwidth communication devices. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 276–292. Springer, Heidelberg (2004)
Goldreich, O.: Foundations of Cryptography, vol. 1. Cambridge University Press, Cambridge (2001)
Guillou, L., Quisquater, J.: A practical zero-knowledge protocol fitted to security microprocessor minimizing both transmission and memory. In: Günther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 123–128. Springer, Heidelberg (1988)
M’Raihi, D., Naccache, D.: Batch exponentiation: a fast DLP-based signature generation strategy. In: Proceedings of the 3rd ACM conference on Computer and Communications Security (1996)
Pedersen, T.P.: Non-interactive and information-theoretic secure verifiable secret sharing. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 129–140. Springer, Heidelberg (1992)
Schnorr, C.: Efficient signature generation by smart cards. Journal of Cryptology 4, 161–174 (1991)
Schoenmakers, B., Tuyls, P.: Practical Two-Party Computation Based on the Conditional Gate. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 119–204. Springer, Heidelberg (2004)
Tompa, M., Woll, H.: Random Self-Reducibility and Zero Knowledge Interactive Proofs of Possession of Information. In: Proc. of FOCS, pp. 472–482 (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chida, K., Yamamoto, G. (2006). Batch Processing of Interactive Proofs. In: Abe, M. (eds) Topics in Cryptology – CT-RSA 2007. CT-RSA 2007. Lecture Notes in Computer Science, vol 4377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11967668_13
Download citation
DOI: https://doi.org/10.1007/11967668_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69327-7
Online ISBN: 978-3-540-69328-4
eBook Packages: Computer ScienceComputer Science (R0)