Hardness preserving constructions of pseudorandom functions
Jain A, Pietrzak KZ, Tentes A. 2012. Hardness preserving constructions of pseudorandom functions. TCC: Theory of Cryptography Conference, LNCS, vol. 7194, 369–382.
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Conference Paper
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Author
Jain, Abhishek;
Pietrzak, Krzysztof ZISTA 
;
Tentes, Aris
;
Tentes, ArisDepartment
Series Title
LNCS
Abstract
We show a hardness-preserving construction of a PRF from any length doubling PRG which improves upon known constructions whenever we can put a non-trivial upper bound q on the number of queries to the PRF. Our construction requires only O(logq) invocations to the underlying PRG with each query. In comparison, the number of invocations by the best previous hardness-preserving construction (GGM using Levin's trick) is logarithmic in the hardness of the PRG. For example, starting from an exponentially secure PRG {0,1} n → {0,1} 2n, we get a PRF which is exponentially secure if queried at most q = exp(√n)times and where each invocation of the PRF requires Θ(√n) queries to the underlying PRG. This is much less than the Θ(n) required by known constructions.
Publishing Year
Date Published
2012-05-04
Acknowledgement
Supported by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC Starting Grant (259668-PSPC)
Volume
7194
Page
369 - 382
Conference
TCC: Theory of Cryptography Conference
Conference Location
Taormina, Sicily, Italy
Conference Date
2012-03-19 – 2012-03-21
IST-REx-ID
Cite this
Jain A, Pietrzak KZ, Tentes A. Hardness preserving constructions of pseudorandom functions. In: Vol 7194. Springer; 2012:369-382. doi:10.1007/978-3-642-28914-9_21
Jain, A., Pietrzak, K. Z., & Tentes, A. (2012). Hardness preserving constructions of pseudorandom functions (Vol. 7194, pp. 369–382). Presented at the TCC: Theory of Cryptography Conference, Taormina, Sicily, Italy: Springer. https://doi.org/10.1007/978-3-642-28914-9_21
Jain, Abhishek, Krzysztof Z Pietrzak, and Aris Tentes. “Hardness Preserving Constructions of Pseudorandom Functions,” 7194:369–82. Springer, 2012. https://doi.org/10.1007/978-3-642-28914-9_21.
A. Jain, K. Z. Pietrzak, and A. Tentes, “Hardness preserving constructions of pseudorandom functions,” presented at the TCC: Theory of Cryptography Conference, Taormina, Sicily, Italy, 2012, vol. 7194, pp. 369–382.
Jain A, Pietrzak KZ, Tentes A. 2012. Hardness preserving constructions of pseudorandom functions. TCC: Theory of Cryptography Conference, LNCS, vol. 7194, 369–382.
Jain, Abhishek, et al. Hardness Preserving Constructions of Pseudorandom Functions. Vol. 7194, Springer, 2012, pp. 369–82, doi:10.1007/978-3-642-28914-9_21.
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