Title
On Treewidth, Separators and Yao's Garbling
Abstract
We show that Yao's garbling scheme is adaptively indistinguishable for the class of Boolean circuits of size S and treewidth w with only a S-O(w) loss in security. For instance, circuits with constant treewidth are as a result adaptively indistinguishable with only a polynomial loss. This (partially) complements a negative result of Applebaum et al. (Crypto 2013), which showed (assuming one-way functions) that Yao's garbling scheme cannot be adaptively simulatable. As main technical contributions, we introduce a new pebble game that abstracts out our security reduction and then present a pebbling strategy for this game where the number of pebbles used is roughly O(delta w log(S)), delta being the fan-out of the circuit. The design of the strategy relies on separators, a graph-theoretic notion with connections to circuit complexity.
Year
DOI
Venue
2021
10.1007/978-3-030-90453-1_17
THEORY OF CRYPTOGRAPHY, TCC 2021, PT II
DocType
Volume
ISSN
Conference
13043
0302-9743
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Chethan Kamath100.34
Karen Klein200.34
Krzysztof Pietrzak3151372.60