Abstract
Tamper-proof devices, especially one-time memories (OTMs), are very powerful primitives. They can, e.g., implement one-time programs, i.e. circuits that can be evaluated only once. Furthermore they exhibit a non-signaling nature: The issuer of the device cannot tell whether the receiver interacted with the device. However, due to this non-signaling property, it is non-trivial to obtain protocols with a clear defined end from such devices. The main contribution of this paper is a significant improvement of previous reductions from oblivious transfer to OTMs. The most extreme primitive with respect to non-signaling is the so called non-local box (NL-Box), where neither the sender nor the receiver get to know if the respective other party has interacted with the NL-Box. We show that OTMs can securely be implemented from NL-Boxes. To the best of our knowledge this is the first protocol to cancel the non-signaling property of an NL-Box for exactly one party.
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References
Brassard, G., Crépeau, C., Santha, M.: Oblivious transfers and intersecting codes. IEEE Transactions on Information Theory 42(6), 1769–1780 (1996)
Buhrman, H., Christandl, M., Unger, F., Wehner, S., Winter, A.: Implications of superstrong nonlocality for cryptography. Proceedings of The Royal Society A 462, 1919–1932 (2006)
Canetti, R.: Universally composable security: A new paradigm for cryptographic protocols. In: FOCS, pp. 136–145 (2001)
Chen, H., Cramer, R.: Algebraic geometric secret sharing schemes and secure multi-party computations over small fields. In: Dwork, C. (ed.) CRYPTO 2006. LNCS, vol. 4117, pp. 521–536. Springer, Heidelberg (2006)
Chen, H., Cramer, R., Goldwasser, S., de Haan, R., Vaikuntanathan, V.: Secure computation from random error correcting codes. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 291–310. Springer, Heidelberg (2007)
Cramer, R., Daza, V., Gracia, I., Urroz, J.J., Leander, G., Martí-Farré, J., Padró, C.: On codes, matroids and secure multi-party computation from linear secret sharing schemes. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 327–343. Springer, Heidelberg (2005)
Even, S., Goldreich, O., Lempel, A.: A randomized protocol for signing contracts. Commun. ACM 28(6), 637–647 (1985), doi:10.1145/3812.3818
Guruswami, V., Indyk, P.: Linear time encodable/decodable codes with nearoptimal rate. IEEE Transactions on Information Theory 51, 3393–3400 (2005)
Goyal, V., Ishai, Y., Sahai, A., Venkatesan, R., Wadia, A.: Founding cryptography on tamper-proof hardware tokens. In: Micciancio, D. (ed.) TCC 2010. LNCS, vol. 5978, pp. 308–326. Springer, Heidelberg (2010)
Goldwasser, S., Kalai, Y.T., Rothblum, G.N.: One-time programs. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol. 5157, pp. 39–56. Springer, Heidelberg (2008)
Popescu, S., Rohrlich, D.: Quantum nonlocality as an axiom. Foundations of Physics 24(3), 379–385 (1994)
Rabin, M.O.: How to exchange secrets by oblivious transfer. technical report tr-81. Technical report, Aiken Computation Laboratory, Harvard University (1981)
Short, A.J., Gisin, N., Popescu, S.: The physics of no-bit-commitment: Generalized quantum non-locality versus oblivious transfer. Quantum Information Processing 5(2), 131–138 (2006)
Sipser, M., Spielman, D.A.: Expander codes. IEEE Transactions on Information Theory 42, 1710–1722 (1996)
Wolf, S., Wullschleger, J.: Oblivious transfer and quantum non-locality. In: Proceedings of International Symposium on Information Theory, ISIT 2005, pp. 1745–1748 (September 2005)
Zémor, G.: On expander codes. IEEE Transactions on Information Theory 47(2), 835–837 (2001)
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Döttling, N., Kraschewski, D., Müller-Quade, J. (2011). Efficient Reductions for Non-signaling Cryptographic Primitives. In: Fehr, S. (eds) Information Theoretic Security. ICITS 2011. Lecture Notes in Computer Science, vol 6673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20728-0_12
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DOI: https://doi.org/10.1007/978-3-642-20728-0_12
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