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Partial clique covering is one of the most basic coding schemes for index coding problems, generalizing clique and cycle covering on the side information digraph and further reducing the achievable broadcast rate. In this paper, we start…

Information Theory · Computer Science 2018-05-29 Xinping Yi , Giuseppe Caire

Reducing computational complexity of the modern wireless communication systems such as massive Multiple-Input Multiple-Output (MIMO) configurations is of utmost interest. In this paper, we propose new algorithm that can be used to…

Information Theory · Computer Science 2022-08-24 Seyed Hosein Mousavi , Jafar Pourrostam

A space-time physical-layer network coding (ST- PNC) method is presented for information exchange among multiple users over fully-connected multi-way relay networks. The method involves two steps: i) side-information learning and ii)…

Information Theory · Computer Science 2014-10-16 Namyoon Lee , Robert W. Heath

This work presents a high throughput and energy efficient multicore (MC) successive cancellation (SC) decoder architecture for polar codes. SC is a low-complexity decoding algorithm with a set of sequential operations. The sequential…

Hardware Architecture · Computer Science 2021-08-30 Altuğ Süral , Ertuğrul Kolağasıoğlu

We consider the problem of communication over a three user discrete memoryless interference channel ($3-$IC). The current known coding techniques for communicating over an arbitrary $3-$IC are based on message splitting, superposition…

Information Theory · Computer Science 2022-03-02 Arun Padakandla , Aria G. Sahebi , S. Sandeep Pradhan

Block encoding is a successful technique used in several powerful quantum algorithms. In this work we provide an explicit quantum circuit for block encoding a sparse matrix with a periodic diagonal structure. The proposed methodology is…

We propose an approach for optimizing nonbinary (NB) quasi-cyclic (QC) LDPC codes. This approach combines constructing of base parity-check matrices by simulated annealing and labeling the obtained base matrices aimed at maximizing the…

Information Theory · Computer Science 2020-10-23 Irina E. Bocharova , Boris D. Kudryashov , Evgenii P. Ovsyannikov , Vitaly Skachek , Tähvend Uustalu

For polar codes, successive cancellation list (SCL) decoding algorithm significantly improves finite-length performance compared to SC decoding. SCL-flip decoding can further enhance the performance but the gain diminishes as code length…

Information Theory · Computer Science 2024-07-08 Xianbin Wang , Huazi Zhang , Jiajie Tong , Jun Wang , Wen Tong

Several types of AL-FEC (Application-Level FEC) codes for the Packet Erasure Channel exist. Random Linear Codes (RLC), where redundancy packets consist of random linear combinations of source packets over a certain finite field, are a…

Information Theory · Computer Science 2014-08-26 Kazuhisa Matsuzono , Vincent Roca , Hitoshi Asaeda

In this paper, we contribute to the theoretical understanding, the design, and the performance evaluation of multi-source multi-relay network-coded cooperative diversity protocols. These protocols are useful to counteract the spectral…

Information Theory · Computer Science 2016-11-17 Marco Di Renzo , Michela Iezzi , Fabio Graziosi

Quantum low-density parity-check (qLDPC) codes are promising for realizing scalable fault-tolerant quantum computation due to their potential for low-overhead protocols. A common approach to decoding qLDPC codes is to use the belief…

Quantum Physics · Physics 2025-10-13 Kento Tsubouchi , Hayata Yamasaki , Shiro Tamiya

Hypergraph product codes are a class of constant-rate quantum low-density parity-check (LDPC) codes equipped with a linear-time decoder called small-set-flip (SSF). This decoder displays sub-optimal performance in practice and requires very…

Quantum Physics · Physics 2021-04-21 Antoine Grospellier , Lucien Grouès , Anirudh Krishna , Anthony Leverrier

This paper (Part of the content of this manuscript has been accepted for presentation in IEEE Globecom 2008, to be held in New Orleans) deals with low maximum likelihood (ML) decoding complexity, full-rate and full-diversity space-time…

Information Theory · Computer Science 2008-09-04 K. Pavan Srinath , B. Sundar Rajan

The standard approach to the design of individual space-time codes is based on optimizing diversity and coding gains. This geometric approach leads to remarkable examples, such as perfect space-time block codes, for which the complexity of…

Information Theory · Computer Science 2015-05-13 Yiyue Wu , Robert Calderbank

Spatially-Coupled (SC)-LDPC codes are known to have outstanding error-correction performance and low decoding latency. Whereas previous works on LDPC and SC-LDPC codes mostly take either an asymptotic or a finite-length design approach, in…

Information Theory · Computer Science 2022-09-02 Homa Esfahanizadeh , Eshed Ram , Yuval Cassuto , Lara Dolecek

This paper studies the complicated interplay of the completion time (as a measure of throughput) and the decoding delay performance in instantly decodable network coded (IDNC) systems over wireless broadcast erasure channels with memory,…

Information Theory · Computer Science 2013-11-12 Neda Aboutorab , Parastoo Sadeghi , Sameh Sorour

We propose and analyze a novel scheme based on LDPC codes for quantitative group testing. The key underlying idea is to augment the bipartite graph by introducing hidden non-binary variables to strengthen the message-passing decoder. This…

Information Theory · Computer Science 2024-10-01 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

For finite length polar codes, channel polarization leaves a significant number of channels not fully polarized. Adding a Cyclic Redundancy Check (CRC) to better protect information on the semi-polarized channels has already been…

Information Theory · Computer Science 2016-11-14 A. Elkelesh , M. Ebada , S. Cammerer , S. ten Brink

Block encoding severs as an important data input model in quantum algorithms, enabling quantum computers to simulate non-unitary operators effectively. In this paper, we propose an efficient block-encoding protocol for sparse matrices based…

Quantum Physics · Physics 2025-07-30 Chunlin Yang , Zexian Li , Hongmei Yao , Zhaobing Fan , Guofeng Zhang , Jianshe Liu

We introduce a new family of erasure codes, called group decodable code (GDC), for distributed storage system. Given a set of design parameters {\alpha; \beta; k; t}, where k is the number of information symbols, each codeword of an…

Information Theory · Computer Science 2015-07-30 Wentu Song , Son Hoang Dau , Chau Yuen
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