Title
Secure one-way interactive communication.
Abstract
Alice and Bob are connected via a two-way binary channel. This paper describes an algorithm to enable Alice to send a message to Bob when 1) an oblivious adversary flips an unknown number of bits, $T$, on the channel; and 2) the message length $L$, and a desired error probability, $epsilon$ are public knowledge. With probability at least $1-epsilon$, our algorithm ensures that Bob receives the correct message, and that Alice and Bob terminate after sending a total of $L + O left( T + min left(T+1,frac{L}{log L} right) log left( frac{L}{epsilon} right) right)$ bits. When $epsilon = Omegaleft( frac{1}{poly(L)} right)$ and $T$ is large, the number of bits sent is $L + Oleft( T right)$, which is asymptotically optimal, assuming a conjecture by Haeupler.
Year
Venue
Field
2016
arXiv: Cryptography and Security
Alice and Bob,Theoretical computer science,Omega,Message length,Probability of error,Asymptotically optimal algorithm,Conjecture,Mathematics,Binary number
DocType
Volume
Citations 
Journal
abs/1605.04486
0
PageRank 
References 
Authors
0.34
10
4
Name
Order
Citations
PageRank
Abhinav Aggarwal114.06
Varsha Dani243240.05
Thomas P. Hayes365954.21
Jared Saia4101996.95