Secure Computation Using Leaky Correlations (Asymptotically Optimal Constructions)

Author(s):  
Alexander R. Block ◽  
Divya Gupta ◽  
Hemanta K. Maji ◽  
Hai H. Nguyen
Author(s):  
Ivan Damgård ◽  
Jesper Buus Nielsen ◽  
Rafail Ostrovsky ◽  
Adi Rosén
Keyword(s):  

2021 ◽  
Author(s):  
Ken Takashima ◽  
Daiki Miyahara ◽  
Takaaki Mizuki ◽  
Hideaki Sone

AbstractIn 1989, den Boer presented the first card-based protocol, called the “five-card trick,” that securely computes the AND function using a deck of physical cards via a series of actions such as shuffling and turning over cards. This protocol enables a couple to confirm their mutual love without revealing their individual feelings. During such a secure computation protocol, it is important to keep any information about the inputs secret. Almost all existing card-based protocols are secure under the assumption that all players participating in a protocol are semi-honest or covert, i.e., they do not deviate from the protocol if there is a chance that they will be caught when cheating. In this paper, we consider a more malicious attack in which a player as an active adversary can reveal cards illegally without any hesitation. Against such an actively revealing card attack, we define the t-secureness, meaning that no information about the inputs leaks even if at most t cards are revealed illegally. We then actually design t-secure AND protocols. Thus, our contribution is the construction of the first formal framework to handle actively revealing card attacks as well as their countermeasures.


2021 ◽  
pp. 105632
Author(s):  
Martin Ehler ◽  
Ujué Etayo ◽  
Bianca Gariboldi ◽  
Giacomo Gigante ◽  
Thomas Peter

2012 ◽  
Vol 58 (2) ◽  
pp. 1163-1185 ◽  
Author(s):  
Reza Omrani ◽  
Gagan Garg ◽  
P. Vijay Kumar ◽  
Petros Elia ◽  
Pankaj Bhambhani

1995 ◽  
Vol 05 (02) ◽  
pp. 275-280 ◽  
Author(s):  
BEATE BOLLIG ◽  
MARTIN HÜHNE ◽  
STEFAN PÖLT ◽  
PETR SAVICKÝ

For circuits the expected delay is a suitable measure for the average case time complexity. In this paper, new upper and lower bounds on the expected delay of circuits for disjunction and conjunction are derived. The circuits presented yield asymptotically optimal expected delay for a wide class of distributions on the inputs even when the parameters of the distribution are not known in advance.


2003 ◽  
Vol 31 (2) ◽  
pp. 14-16 ◽  
Author(s):  
Lachlan L. H. Andrew ◽  
Yuliy Baryshnikov ◽  
E. G. Coffman ◽  
Stephen V. Hanly ◽  
Jolyon White

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