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The Slepian-Wolf (SW) coding system is a source coding system with two encoders and a decoder, where these encoders independently encode source sequences from two correlated sources into codewords, and the decoder reconstructs both source…

Information Theory · Computer Science 2019-06-10 Tetsunao Matsuta , Tomohiko Uyematsu

In this paper, we propose a polar coding based scheme for set reconciliation between two network nodes. The system is modeled as a well-known Slepian-Wolf setting induced by a fixed number of deletions. The set reconciliation process is…

Information Theory · Computer Science 2021-04-27 Ling Liu , Shengli Zhang , Cong Ling

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

A new finite blocklength converse for the Slepian- Wolf coding problem is presented which significantly improves on the best known converse for this problem, due to Miyake and Kanaya [2]. To obtain this converse, an extension of the linear…

Information Theory · Computer Science 2018-01-29 Sharu Theresa Jose , Ankur A. Kulkarni

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 polar codes for memoryless sources with side information and show that the blocklength, construction, encoding and decoding complexities are bounded by a polynomial of the reciprocal of the gap between the compression rate and…

Information Theory · Computer Science 2015-12-01 Jingbo Liu , Emmanuel Abbe

Practical constructions of lossless distributed source codes (for the Slepian-Wolf problem) have been the subject of much investigation in the past decade. In particular, near-capacity achieving code designs based on LDPC codes have been…

Information Theory · Computer Science 2011-06-15 Shizheng Li , Aditya Ramamoorthy

This work is motivated by recent results of Csiszar and Narayan (IEEE Trans. on Inform. Theory, Dec. 2004), which highlight innate connections between secrecy generation by multiple terminals and multiterminal Slepian-Wolf near-lossless…

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

We provide a novel achievability proof of the Slepian-Wolf theorem for i.i.d. sources over finite alphabets. We demonstrate that random codes that are linear over the real field achieve the classical Slepian-Wolf rate-region. For finite…

Information Theory · Computer Science 2008-10-09 Bikash Kumar Dey , Sidharth Jaggi , Michael Langberg

This paper deals with a coding problem called complementary delivery, where messages from two correlated sources are jointly encoded and each decoder reproduces one of two messages using the other message as the side information. Both…

Information Theory · Computer Science 2008-02-13 Shigeaki Kuzuoka , Akisato Kimura , Tomohiko Uyematsu

We study the following combinatorial version of the Slepian-Wolf coding scheme. Two isolated Senders are given binary strings $X$ and $Y$ respectively; the length of each string is equal to $n$, and the Hamming distance between the strings…

Information Theory · Computer Science 2018-06-12 Daniyar Chumbalov , Andrei Romashchenko

Information Reconciliation is an essential part of Quantum Key distribution protocols that closely resembles Slepian-Wolf coding. The application of nonbinary LDPC codes in the Information Reconciliation stage of a high-dimensional…

Quantum Physics · Physics 2023-10-30 Ronny Müller , Davide Bacco , Leif Katsou Oxenløwe , Søren Forchhammer

We consider the problem of (almost) lossless source coding of two correlated memoryless sources using separate encoders and a joint decoder, that is, Slepian-Wolf (S-W) coding. In our setting, the encoding and decoding are asynchronous,…

Information Theory · Computer Science 2020-07-28 Neri Merhav

This paper investigates a reconciliation method in order to establish an errorless secret key in a QKD protocol. Classical key distribution protocols are no longer unconditionally secure because computational complexity of mathematical…

Quantum Physics · Physics 2020-02-19 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

In this paper, we introduce a reconciliation protocol with a two-step error correction scheme that uses a short-blocklength, low-rate code and a long-blocklength, high-rate code. We simulate the protocol using a short-block-length…

Reconciliation is an essential part of any secret-key agreement protocol and hence of a Quantum Key Distribution (QKD) protocol, where two legitimate parties are given correlated data and want to agree on a common string in the presence of…

Information Theory · Computer Science 2011-04-01 David Elkouss , Anthony Leverrier , Romain Alléaume , Joseph Boutros

We consider a wireless sensors network scenario where two nodes detect correlated sources and deliver them to a central collector via a wireless link. Differently from the Slepian-Wolf approach to distributed source coding, in the proposed…

Information Theory · Computer Science 2007-07-13 A. Abrardo

The reliability function of variable-rate Slepian-Wolf coding is linked to the reliability function of channel coding with constant composition codes, through which computable lower and upper bounds are derived. The bounds coincide at rates…

Information Theory · Computer Science 2016-08-08 Jun Chen , Da-ke He , Ashish Jagmohan , Luis A. Lastras-Montaño

The speed at which two remote parties can exchange secret keys over a fixed-length fiber-optic cable in continuous-variable quantum key distribution (CV-QKD) is currently limited by the computational complexity of post-processing algorithms…

Quantum Physics · Physics 2019-05-28 Mario Milicevic , Chen Feng , Lei M. Zhang , P. Glenn Gulak

Reconciliation is a mechanism allowing to weed out the discrepancies between two correlated variables. It has great role in every Quantum Key Distribution protocol where the key has to be transmitted through a noisy channel or as in our…

Cryptography and Security · Computer Science 2020-02-20 Nedra Benletaief , Houria Rezig , Ammar Bouallegue
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