Title
Communication Complexity of Key Agreement on Small Ranges
Abstract
Abstract This paper studies a variation on classical key-agreement and consensus problems in which the set S of possible keys is the range of a random variable that can be sampled. We give tight upper and lower bounds ofdlog2ke bits on the communication complexity of agreement on some key in S, using a form of Sperner’s Lemma, and give bounds on other problems. In the case where keys are generated by a probabilistic polynomial-time Turing machine, agreement is shown to be possible with zero communication if every fully polynomial-time approximation scheme (fpras) has a certain symmetry-breaking property. Topics Computational complexity, cryptography.
Year
DOI
Venue
1995
10.1007/3-540-59042-0_60
STACS
Keywords
Field
DocType
turing machine,consensus problem,random variable,symmetry breaking,fully polynomial time approximation scheme,communication complexity,upper and lower bounds,polynomial time,computational complexity
2-EXPTIME,Quantum complexity theory,Complexity class,Discrete mathematics,Average-case complexity,Combinatorics,PSPACE,UP,Alternating Turing machine,Mathematics,NP
Conference
Citations 
PageRank 
References 
1
0.37
32
Authors
7
Name
Order
Citations
PageRank
Jin-Yi Cai12327239.71
Richard J. Lipton264121796.57
Luc Longpré324530.26
Mitsunori Ogihara43135257.04
Kenneth W. Regan520123.15
D. Sivakumar63515389.02
nsf grants ccr710.37