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We propose an approach for constructing secret and private keys based on the long-known Slepian-Wolf code, due to Wyner, for correlated sources connected by a virtual additive noise channel. Our work is motivated by results of Csisz\'ar and…

Information Theory · Computer Science 2010-08-13 Chunxuan Ye , Prakash Narayan

The polarization phenomenon for a single source is extended to a framework with multiple correlated sources. It is shown in addition to extracting the randomness of the source, the polar transforms takes the original arbitrary dependencies…

Information Theory · Computer Science 2014-11-13 Emmanuel Abbe

Csiszar and Narayan[3] defined the notion of secret key capacity for multiple terminals, characterized it as a linear program with Slepian-Wolf constraints of the related source coding problem of communication for omniscience, and upper…

Information Theory · Computer Science 2008-06-16 Chung Chan

We study the problem of generating a shared secret key between two terminals in a joint source-channel setup -- the sender communicates to the receiver over a discrete memoryless wiretap channel and additionally the terminals have access to…

Information Theory · Computer Science 2016-11-18 Ashish Khisti , Suhas Diggavi , Gregory Wornell

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

We focus Slepian-Wolf (SW) coding in the short blocklength for reconciliation in secret key generation and physical unclonable functions. In the problem formulation, two legitimate parties wish to generate a common secret key from a noisy…

Signal Processing · Electrical Eng. & Systems 2021-03-23 Mahdi Shakiba-Herfeh , Arsenia Chorti

This paper investigates the problem of secret key generation over a wiretap channel when the terminals observe correlated sources. These sources are independent of the main channel and the users overhear them before the transmission takes…

Information Theory · Computer Science 2018-11-21 Germán Bassi , Pablo Piantanida , Shlomo Shamai

The aim of this paper is to prove theorems for the Slepian-Wolf source coding and the broadcast channel coding (independent messages and no common message) based on the the notion of a stronger version of the hash property for an ensemble…

Information Theory · Computer Science 2013-01-28 Jun Muramatsu , Shigeki Miyake

Slepian-Wolf theorem is a well-known framework that targets almost lossless compression of (two) data streams with symbol-by-symbol correlation between the outputs of (two) distributed sources. However, this paper considers a different…

Information Theory · Computer Science 2012-06-20 Ahmad Beirami , Faramarz Fekri

We consider Slepian-Wolf code design based on LDPC (low-density parity-check) coset codes for memoryless source-side information pairs. A density evolution formula, equipped with a concentration theorem, is derived for Slepian- Wolf coding…

Information Theory · Computer Science 2007-07-13 Jun Chen , Da-ke He , Ashish Jagmohan

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 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 noisy Slepian-Wolf problem where two correlated sources are separately encoded (using codes of fixed rate) and transmitted over two independent binary memoryless symmetric channels. The capacity of each channel is…

Information Theory · Computer Science 2012-01-04 Arvind Yedla , Henry D. Pfister , Krishna R. Narayanan

The problem of simultaneously generating a secret key (SK) and private key (PK) pair among three terminals via public discussion is investigated, in which each terminal observes a component of correlated sources. All three terminals are…

Information Theory · Computer Science 2014-04-28 Huishuai Zhang , Lifeng Lai , Yingbin Liang , Hua Wang

The privacy amplification is a technique to distill a secret key from a random variable by a function so that the distilled key and eavesdropper's random variable are statistically independent. There are three kinds of security criteria for…

Information Theory · Computer Science 2011-03-09 Shun Watanabe , Ryutaroh Matsumoto , Tomohiko Uyematsu

We consider a setting of Slepian--Wolf coding, where the random bin of the source vector undergoes channel coding, and then decoded at the receiver, based on additional side information, correlated to the source. For a given distribution of…

Information Theory · Computer Science 2016-01-26 Neri Merhav

We consider a multi-way relay network with an orthogonal uplink and correlated sources, and we characterise reliable communication (in the usual Shannon sense) with a single-letter expression. The characterisation is obtained using a joint…

Information Theory · Computer Science 2013-09-18 Roy Timo , Gottfried Lechner , Lawrence Ong , Sarah J. Johnson

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

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

This work studies point-to-point, multiple access, and random access lossless source coding in the finite-blocklength regime. In each scenario, a random coding technique is developed and used to analyze third-order coding performance.…

Information Theory · Computer Science 2020-10-13 Shuqing Chen , Michelle Effros , Victoria Kostina
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