Abstract
The bounded storage model promises unconditional security proofs against computationally unbounded adversaries, so long as the adversary’s space is bounded. In this work, we develop simple new constructions of two-party key agreement, bit commitment, and oblivious transfer in this model. In addition to simplicity, our constructions have several advantages over prior work, including an improved number of rounds and enhanced correctness. Our schemes are based on Raz’s lower bound for learning parities.
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In most works in the Bounded Storage Model, the random bit stream is assumed to come from a trusted third party. In this work we will insist on there being no trusted third party, and instead the bit stream comes from the parties themselves.
References
Aumann, Y., Rabin, M.O.: Information theoretically secure communication in the limited storage space model. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 65–79. Springer, Heidelberg (1999). https://doi.org/10.1007/3-540-48405-1_5
Ball, M., Dachman-Soled, D., Kulkarni, M., Malkin, T.: Non-malleable codes from average-case hardness: \({\sf A\mathtt \sf {\sf C}}^0\), decision trees, and streaming space-bounded tampering. In: Nielsen, J.B., Rijmen, V. (eds.) EUROCRYPT 2018. LNCS, vol. 10822, pp. 618–650. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-78372-7_20
Cachin, C., Crépeau, C., Marcil, J.: Oblivious transfer with a memory-bounded receiver. In: 39th FOCS, pp. 493–502. IEEE Computer Society Press, November 1998
Cachin, C., Maurer, U.: Unconditional security against memory-bounded adversaries. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 292–306. Springer, Heidelberg (1997). https://doi.org/10.1007/BFb0052243
Ding, Y.Z., Harnik, D., Rosen, A., Shaltiel, R.: Constant-round oblivious transfer in the bounded storage model. In: Naor, M. (ed.) TCC 2004. LNCS, vol. 2951, pp. 446–472. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24638-1_25
Ding, Y.Z.: Oblivious transfer in the bounded storage model. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 155–170. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-44647-8_9
Goldreich, O., Levin, L.A.: A hard-core predicate for all one-way functions. In: 21st ACM STOC, pp. 25–32. ACM Press, May 1989
Grover, L.K.: A fast quantum mechanical algorithm for database search. In: 28th ACM STOC, pp. 212–219. ACM Press, May 1996
Impagliazzo, R., Levin, L.A., Luby, M.: Pseudo-random generation from one-way functions (extended abstracts). In: 21st ACM STOC, pp. 12–24. ACM Press, May 1989
Lu, C.-J.: Hyper-encryption against space-bounded adversaries from on-line strong extractors. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 257–271. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45708-9_17
Maurer, U.M.: Conditionally-perfect secrecy and a provably-secure randomized cipher. J. Cryptol. 5(1), 53–66 (1992)
Raz, R.: A time-space lower bound for a large class of learning problems. In: 58th FOCS, pp. 732–742. IEEE Computer Society Press (2017)
Rothblum, R.: Homomorphic encryption: from private-key to public-key. In: Ishai, Y. (ed.) TCC 2011. LNCS, vol. 6597, pp. 219–234. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-19571-6_14
Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: 35th FOCS, pp. 124–134. IEEE Computer Society Press, November 1994
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Guan, J., Zhandary, M. (2019). Simple Schemes in the Bounded Storage Model. In: Ishai, Y., Rijmen, V. (eds) Advances in Cryptology – EUROCRYPT 2019. EUROCRYPT 2019. Lecture Notes in Computer Science(), vol 11478. Springer, Cham. https://doi.org/10.1007/978-3-030-17659-4_17
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DOI: https://doi.org/10.1007/978-3-030-17659-4_17
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