### On the Complexity of Simulating Auxiliary Input

Yi-Hsiu Chen, Kai-Min Chung, and Jyun-Jie Liao

##### Abstract

We construct a simulator for the simulating auxiliary input problem with complexity better than all previous results and prove the optimality up to logarithmic factors by establishing a black-box lower bound. Specifically, let $\ell$ be the length of the auxiliary input and $\epsilon$ be the indistinguishability parameter. Our simulator is $\tilde{O}(2^{\ell}\epsilon^{-2})$ more complicated than the distinguisher family. For the lower bound, we show the relative complexity to the distinguisher of a simulator is at least $\Omega(2^{\ell}\epsilon^{-2})$ assuming the simulator is restricted to use the distinguishers in a black-box way and satisfy a mild restriction.

##### Metadata
Available format(s)
Publication info
Published by the IACR in EUROCRYPT 2018
Keywords
Leakage Simulation LemmaSimulating Auxiliary InputLeakage-Resilient Stream-CipherLeakage Chain RuleDense Model TheoremImpagliazzo's Hardcore LemmaComputational Min-Entropy
Contact author(s)
jjliao @ iis sinica edu tw
History
2018-02-14: received
Short URL
https://ia.cr/2018/171
License

CC BY

BibTeX

@misc{cryptoeprint:2018/171,
author = {Yi-Hsiu Chen and Kai-Min Chung and Jyun-Jie Liao},
title = {On the Complexity of Simulating Auxiliary Input},
howpublished = {Cryptology ePrint Archive, Paper 2018/171},
year = {2018},
note = {\url{https://eprint.iacr.org/2018/171}},
url = {https://eprint.iacr.org/2018/171}
}

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