## Abstract

Most cryptographic schemes are designed in a model where perfect secrecy of the secret key is assumed. In most physical implementations, however, some form of information leakage is inherent and unavoidable. To deal with this, a flurry of works showed how to construct basic cryptographic primitives that are resilient to various forms of leakage. Dodis et al. (FOCS ’10) formalized and constructed leakage resilient one-way functions. These are one-way functions f such that given a random image f(x) and leakage g(x) it is still hard to invert f(x). Based on any one-way function, Dodis et al. constructed such a one-way function that is leakage resilient assuming that an attacker can leak any lossy function g of the input. In this work we consider the problem of constructing leakage resilient one-way functions that are secure with respect to arbitrary computationally hiding leakage (a.k.a auxiliary-input). We consider both types of leakage — selective and adaptive — and prove various possibility and impossibility results. On the negative side, we show that if the leakage is an adaptivelychosen arbitrary one-way function, then it is impossible to construct leakage resilient one-way functions. The latter is proved both in the random oracle model (without any further assumptions) and in the standard model based on a strong vector-variant of DDH. On the positive side, we observe that when the leakage is chosen ahead of time, there are leakage resilient one-way functions based on a variety of assumption.

Original language | American English |
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Title of host publication | Theory of Cryptography - 14th International Conference, TCC 2016-B, Proceedings |

Editors | Adam Smith, Martin Hirt |

Publisher | Springer Verlag |

Pages | 139-158 |

Number of pages | 20 |

ISBN (Print) | 9783662536407 |

DOIs | |

State | Published - 2016 |

Externally published | Yes |

Event | 14th International Conference on Theory of Cryptography, TCC 2016-B - Beijing, China Duration: 31 Oct 2016 → 3 Nov 2016 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 9985 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 14th International Conference on Theory of Cryptography, TCC 2016-B |
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Country/Territory | China |

City | Beijing |

Period | 31/10/16 → 3/11/16 |

### Bibliographical note

Publisher Copyright:© International Association for Cryptologic Research 2016.