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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 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

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

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

Hypergraphical sources are a natural class of sources for secret key generation, within which different subsets of terminals sharing secrets are allowed to discuss publicly in order to agree upon a global secret key. While their secrecy…

Information Theory · Computer Science 2018-05-04 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

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

This paper considers the problem of secret-key agreement with public discussion subject to a peak power constraint $A$ on the channel input. The optimal input distribution is proved to be discrete with finite support. The result is obtained…

Information Theory · Computer Science 2018-05-09 Marwen Zorgui , Zouheir Rezki , Basel Alomair , Mohamed-Slim Alouini

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 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

We consider a non-asymptotic (one-shot) version of the multiterminal secret key agreement problem on a finite linear source model. In this model, the observation of each terminal is a linear function of an underlying random vector composed…

Information Theory · Computer Science 2019-01-18 Chung Chan , Navin Kashyap , Praneeth Kumar Vippathalla , Qiaoqiao Zhou

We consider information theoretic secret key agreement and secure function computation by multiple parties observing correlated data, with access to an interactive public communication channel. Our main result is an upper bound on the…

Information Theory · Computer Science 2015-06-01 Himanshu Tyagi , Shun Watanabe

In the multiterminal source model of Csisz$\text{\'a}$r and Narayan, the communication complexity, $R_{\text{SK}}$, for secret key (SK) generation is the minimum rate of communication required to achieve SK capacity. An obvious upper bound…

Information Theory · Computer Science 2016-11-15 Manuj Mukherjee , Chung Chan , Navin Kashyap , Qiaoqiao Zhou

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

The focus of this paper is on the public communication required for generating a maximal-rate secret key (SK) within the multiterminal source model of Csisz{\'a}r and Narayan. Building on the prior work of Tyagi for the two-terminal…

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

We consider the problem of multiterminal secret key agreement (SKA) in wiretapped source model where terminals have access to samples of correlated random variables from a publicly known joint probability distribution. The adversary has…

Information Theory · Computer Science 2022-01-07 Alireza Poostindouz , Reihaneh Safavi-Naini

For a discrete or a continuous source model, we study the problem of secret-key generation with one round of rate-limited public communication between two legitimate users. Although we do not provide new bounds on the wiretap secret-key…

Information Theory · Computer Science 2014-05-19 Remi A. Chou , Matthieu R. Bloch

We consider the secret key generation problem when sources are randomly excited by the sender and there is a noiseless public discussion channel. Our setting is thus similar to recent works on channels with action-dependent states where the…

Information Theory · Computer Science 2016-11-15 Tzu-Han Chou , Vincent Y. F. Tan , Stark C. Draper

In this paper, we explore the connection between secret key agreement and secure omniscience within the setting of the multiterminal source model with a wiretapper who has side information. While the secret key agreement problem considers…

Information Theory · Computer Science 2023-07-28 Praneeth Kumar Vippathalla , Chung Chan , Navin Kashyap , Qiaoqiao Zhou

A two-party key agreement problem with public discussion, known as the source model problem, is considered. By relating key agreement to hypothesis testing, a new coding scheme is developed that yields a sufficient condition to achieve a…

Information Theory · Computer Science 2020-07-23 Amin Gohari , Onur Günlü , Gerhard Kramer
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