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We consider the secret key agreement problem under the multiterminal source model proposed by Csisz\'ar and Narayan. A single-letter characterization of the secrecy capacity is desired but remains unknown except in the extreme case with…

Information Theory · Computer Science 2019-04-26 Chung Chan , Manuj Mukherjee , Praneeth Kumar Vippathalla , Qiaoqiao Zhou

A new model of multi-party secret key agreement is proposed, in which one terminal called the communicator can transmit public messages to other terminals before all terminals agree on a secret key. A single-letter characterization of the…

Information Theory · Computer Science 2015-12-01 Jingbo Liu , Paul Cuff , Sergio Verdu

This paper studies an information-theoretic one-shot variable-length secret key agreement problem with public discussion. Let $X$ and $Y$ be jointly distributed random variables, each taking values in some measurable space. Alice and Bob…

Information Theory · Computer Science 2021-09-21 Cheuk Ting Li , Venkat Anantharam

For the multiterminal secret key agreement problem under a private source model, it is known that the maximum key rate, i.e., the secrecy capacity, can be achieved through communication for omniscience, but the omniscience strategy can be…

Information Theory · Computer Science 2018-01-08 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

For the multiterminal secret key agreement problem, new single-letter lower bounds are obtained on the public discussion rate required to achieve any given secret key rate below the secrecy capacity. The results apply to general source…

Information Theory · Computer Science 2017-01-20 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

This work considers the problem of multiterminal secret key agreement by limited total public discussion under the hypergraphical source model. The secrecy capacity as a function of the total discussion rate is completely characterized by a…

Information Theory · Computer Science 2019-11-28 Chung Chan

We consider a pair-wise independent network where every pair of terminals in the network observes a common pair-wise source that is independent of all the sources accessible to the other pairs. We propose a method for secret key agreement…

Information Theory · Computer Science 2007-07-13 Chunxuan Ye , Alex Reznik

Information theoretic secret key agreement is impossible without making initial assumptions. One type of initial assumption is correlated random variables that are generated by using a noisy channel that connects the terminals. Terminals…

Information Theory · Computer Science 2020-08-10 Alireza Poostindouz , Reihaneh Safavi-Naini

This paper investigates the secret key generation in the multiterminal source model, where users observing correlated sources discuss interactively under limited rates to agree on a secret key. We focus on a class of sources representable…

Information Theory · Computer Science 2019-07-30 Qiaoqiao Zhou , Chung Chan

The multiterminal secret key agreement problem by public discussion is formulated with an additional source compression step where, prior to the public discussion phase, users independently compress their private sources to filter out…

Information Theory · Computer Science 2017-11-22 Chung Chan

In the multiterminal secret key agreement problem, a set of users want to discuss with each other until they share a common secret key independent of their discussion. We want to characterize the maximum secret key rate, called the secrecy…

Information Theory · Computer Science 2018-02-15 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

We consider secret key generation for a "pairwise independent network" model in which every pair of terminals observes correlated sources that are independent of sources observed by all other pairs of terminals. The terminals are then…

Information Theory · Computer Science 2010-08-09 Sirin Nitinawarat , Chunxuan Ye , Alexander Barg , Prakash Narayan , Alex Reznik

Communication complexity refers to the minimum rate of public communication required for generating a maximal-rate secret key (SK) in the multiterminal source model of Csiszar and Narayan. Tyagi recently characterized this communication…

Information Theory · Computer Science 2014-01-14 Manuj Mukherjee , Navin Kashyap

In the classical Secret-Key generation model, Common Randomness is generated by two terminals based on the observation of correlated components of a common source, while keeping it secret from a non-legitimate observer. It is assumed that…

Information Theory · Computer Science 2016-01-28 Nima Tavangaran , Holger Boche , Rafael F. Schaefer

We revisit the problem of secret key agreement using interactive public communication for two parties and propose a new secret key agreement protocol. The protocol attains the secret key capacity for general observations and attains the…

Information Theory · Computer Science 2016-03-11 Masahito Hayashi , Himanshu Tyagi , Shun Watanabe

We consider a model for secrecy generation, with three terminals, by means of public interterminal communication, and examine the problem of characterizing all the rates at which all three terminals can generate a ``secret key,'' and --…

Information Theory · Computer Science 2007-07-13 Chunxuan Ye , Prakash Narayan

We consider a group of m+1 trusted nodes that aim to create a shared secret key K over a network in the presence of a passive eavesdropper, Eve. We assume a linear non-coherent network coding broadcast channel (over a finite field F_q) from…

Information Theory · Computer Science 2012-06-15 Mahdi Jafari Siavoshani , Christina Fragouli

While the wiretap secret key capacity remains unknown for general source models even in the two-user case, we obtained a single-letter characterization for a large class of multi-user source models with a linear wiretapper who can observe…

Information Theory · Computer Science 2021-02-04 Praneeth Kumar Vippathalla , Chung Chan , Navin Kashyap , Qiaoqiao Zhou

We consider perfect secret key generation for a ``pairwise independent network'' model in which every pair of terminals share a random binary string, with the strings shared by distinct terminal pairs being mutually independent. The…

Information Theory · Computer Science 2010-08-09 Sirin Nitinawarat , Prakash Narayan

In this paper, we address the problem of characterizing the instances of the multiterminal source model of Csisz\'ar and Narayan in which communication from all terminals is needed for establishing a secret key of maximum rate. We give an…

Information Theory · Computer Science 2016-11-17 Manuj Mukherjee , Navin Kashyap , Yogesh Sankarasubramaniam
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