Title
How to Circumvent the Two-Ciphertext Lower Bound for Linear Garbling Schemes.
Abstract
At EUROCRYPT 2015, Zahur et al. argued that all linear, and thus, efficient, garbling schemes need at least two k-bit elements to garble an AND gate with security parameter k. We show how to circumvent this lower bound, and propose an efficient garbling scheme which requires less than two k-bit elements per AND gate for most circuit layouts. Our construction slightly deviates from the linear garbling model, and constitutes no contradiction to any claims in the lower-bound proof. With our proof of concept construction, we hope to spur new ideas for more practical garbling schemes. Our construction can directly be applied to semi-private function evaluation by garbling XOR, XNOR, NAND, OR, NOR and AND gates in the same way, and keeping the evaluator oblivious of the gate function.
Year
DOI
Venue
2017
10.1007/978-3-662-53890-6_32
IACR Cryptology ePrint Archive
Keywords
DocType
Volume
Garbled circuits,Lower bound on linear garbling schemes,Semi-private function evaluation
Journal
2017
ISSN
Citations 
PageRank 
0302-9743
4
0.39
References 
Authors
23
3
Name
Order
Citations
PageRank
Carmen Kempka160.75
Ryo Kikuchi2469.37
Koutarou Suzuki351829.57