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Rate-matching of low-density parity-check (LDPC) codes enables a single code description to support a wide range of code lengths and rates. In 5G NR, rate matching is accomplished by extending (lifting) a base code to a desired target…

Information Theory · Computer Science 2024-10-29 Reinhard Wiesmayr , Darja Nonaca , Chris Dick , Christoph Studer

We study ensembles of codes on graphs (generalized low-density parity-check, or LDPC codes) constructed from random graphs and fixed local constrained codes, and their extension to codes on hypergraphs. It is known that the average minimum…

Information Theory · Computer Science 2011-02-22 Alexander Barg , Arya Mazumdar

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2019-06-25 Mohammad Vahid Jamali , Mahdi Soleymani , Hessam Mahdavifar

In this paper, we propose to implement the dynamic decode-and-forward (DDF) protocol with distributed rotations. In addition to being the first minimum-delay implementation of the DDF protocol proposed for any number of relays, this…

Information Theory · Computer Science 2011-02-22 Charlotte Hucher , Parastoo Sadeghi

We consider spatially coupled code ensembles over a multiple access channel. Convolutional LDPC ensembles are one instance of spatially coupled codes. It was shown recently that, for transmission over the binary erasure channel, this…

Information Theory · Computer Science 2011-02-15 Shrinivas Kudekar , Kenta Kasai

Reminiscent of the parity function in network coding for the butterfly network, it is shown that forwarding an even/odd indicator bit for a scalar quantization of a relay observation recovers 1 bit of information at the two destinations in…

Information Theory · Computer Science 2010-09-10 Peyman Razaghi , Giuseppe Caire

We consider a low-complexity version of the Compute and Forward scheme that involves only scaling, offset (dithering removal) and scalar quantization at the relays. The proposed scheme is suited for the uplink of a distributed antenna…

Information Theory · Computer Science 2011-09-06 Song-Nam Hong , Giuseppe Caire

An adaptive randomized distributed space-time coding (DSTC) scheme and algorithms are proposed for two-hop cooperative MIMO networks. Linear minimum mean square error (MMSE) receivers and an amplify-and-forward (AF) cooperation strategy are…

Information Theory · Computer Science 2013-03-19 T. Peng , R. C. de Lamare , A. Schmeink

We consider the problem of information flow over Gaussian relay networks. Similar to the recent work by Avestimehr \emph{et al.} [1], we propose network codes that achieve up to a constant gap from the capacity of such networks. However,…

Information Theory · Computer Science 2011-02-28 Theodoros K. Dikaliotis , Hongyi Yao , Salman Avestimehr , Sidharth Jaggi , Tracey Ho

In order to follow up with mission-critical applications, new features need to be carried to satisfy a reliable communication with reduced latency. With this regard, this paper proposes a low latency cooperative transmission scheme, where…

Information Theory · Computer Science 2018-02-13 Fatima Ezzahra Airod , Houda Chafnaji , Halim Yanikomeroglu

We derive the optimal resource allocation of a practical half-duplex scheme for the Gaussian multiple access channel with transmitter cooperation (MAC-TC). Based on rate splitting and superposition coding, two users transmit information to…

Information Theory · Computer Science 2015-03-20 Ahmad Abu Al Haija , Mai Vu

Continuous-variable quantum key distribution utilizes an ensemble of coherent states of light to distribute secret encryption keys between two parties. One of the challenges is thereby the requirement of capacity approaching error…

Information Theory · Computer Science 2021-06-30 Hossein Mani , Tobias Gehring , Christoph Pacher , Ulrik Lund Andersen

A capacity-achieving scheme based on polar codes is proposed for reliable communication over multi-channels which can be directly applied to bit-interleaved coded modulation schemes. We start by reviewing the ground-breaking work of polar…

Information Theory · Computer Science 2013-02-04 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Existence of quantum low-density parity-check (LDPC) codes whose minimal distance scales linearly with the number of qubits is a major open problem in quantum information. Its practical interest stems from the need to protect information in…

Quantum Physics · Physics 2021-05-14 Lior Eldar , Maris Ozols , Kevin F. Thompson

Distributed space time coding for wireless relay networks when the source, the destination and the relays have multiple antennas have been studied by Jing and Hassibi. In this set-up, the transmit and the receive signals at different…

Information Theory · Computer Science 2016-11-17 J. Harshan , B. Sundar Rajan

A novel adaptive binary decoding algorithm for LDPC codes is proposed, which reduces the decoding complexity while having a comparable or even better performance than corresponding non-adaptive alternatives. In each iteration the variable…

Information Theory · Computer Science 2009-04-24 Ingmar Land , Gottfried Lechner , Lars K. Rasmussen

We propose two coded schemes for the distributed computing problem of multiplying a matrix by a set of vectors. The first scheme is based on partitioning the matrix into submatrices and applying maximum distance separable (MDS) codes to…

Information Theory · Computer Science 2018-10-22 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

The focus of this paper is on the analysis and design of Raptor codes using a multi-edge framework. In this regard, we first represent the Raptor code as a multi-edge type low-density parity-check (METLDPC) code. This MET representation…

Information Theory · Computer Science 2024-10-30 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Sarah J. Johnson

This paper presents a combinatorial construction of low-density parity-check (LDPC) codes from difference covering arrays. While the original construction by Gallagher was by randomly allocating bits in a sparse parity-check matrix, over…

Combinatorics · Mathematics 2017-01-23 D. Donovan , A. Rao , E. Şule Yazıcı

We present a new class of irregular low-density parity-check (LDPC) codes for moderate block lengths (up to a few thousand bits) that are well-suited for rate-compatible puncturing. The proposed codes show good performance under puncturing…

Information Theory · Computer Science 2016-11-18 Jaehong Kim , Aditya Ramamoorthy , Steven W. McLaughlin
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