Title
A Quantum-Proof Non-Malleable Extractor, With Application to Privacy Amplification against Active Quantum Adversaries.
Abstract
In privacy amplification, two mutually trusted parties aim to amplify the secrecy of an initial shared secret X in order to establish a shared private key K by exchanging messages over an insecure communication channel. If the channel is authenticated the task can be solved in a single round of communication using a strong randomness extractor; choosing a quantum-proof extractor allows one to establish security against quantum adversaries. In the case that the channel is not authenticated, this simple solution is no longer secure. Nevertheless, Dodis and Wichs (STOC'09) showed that the problem can be solved in two rounds of communication using a non-malleable extractor, a stronger pseudo-random construction than a strong extractor. We give the first construction of a non-malleable extractor that is secure against quantum adversaries. The extractor is based on a construction by Li (FOCS'12), and is able to extract from source of min-entropy rates larger than 1/2. Combining this construction with a quantum-proof variant of the reduction of Dodis and Wichs, due to Cohen and Vidick (unpublished) we obtain the first privacy amplification protocol secure against active quantum adversaries.
Year
DOI
Venue
2017
10.1007/978-3-030-17656-3_16
ADVANCES IN CRYPTOLOGY - EUROCRYPT 2019, PT II
Field
DocType
Volume
Quantum,Randomness extractor,Authentication,Secrecy,Communication channel,Theoretical computer science,Extractor,Shared secret,Public-key cryptography,Mathematics
Journal
11477
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
16
4
Name
Order
Citations
PageRank
Divesh Aggarwal118617.99
Kai-Min Chung265655.74
Han-Hsuan Lin300.68
Thomas Vidick437731.69