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Two methods for constructing quantum LDPC codes are presented. We explain how to overcome the difficulty of finding a set of low weight generators for the stabilizer group of the code. Both approaches are based on some graph representation…

Quantum Physics · Physics 2007-05-23 T. Camara , H. Ollivier , J. -P. Tillich

This study focuses on the efficiency of message-passing-based decoding algorithms for polar and low-density parity-check (LDPC) codes. Both successive cancellation (SC) and belief propagation (BP) decoding algorithms are studied {in} the…

Information Theory · Computer Science 2023-04-24 Dawei Yin , Yuan Li , Xianbin Wang , Jiajie Tong , Huazi Zhang , Jun Wang , Guanghui Wang , Jun Chen , Guiying Yan , Zhiming Ma , Wen Tong

We consider the question of interactive communication, in which two remote parties perform a computation while their communication channel is (adversarially) noisy. We extend here the discussion into a more general and stronger class of…

Data Structures and Algorithms · Computer Science 2016-05-25 Mark Braverman , Ran Gelles , Jieming Mao , Rafail Ostrovsky

Low-density parity-check (LDPC) codes are specified by graphs, and are the error correction technique of choice in many communications and data storage contexts. Message passing decoders diffuse information carried by parity bits into the…

Information Theory · Computer Science 2023-05-02 Beyza Dabak , Ece Tiryaki , Robert Calderbank , Ahmed Hareedy

In this paper a novel family of codes for modified spectral-amplitude-coding optical code division multiple access (SAC-OCDMA) is introduced. The proposed codes exist for more number of processing gains comparing to the previously reported…

Information Theory · Computer Science 2010-09-24 Mohammad Noshad , Kambiz Jamshidi

This paper provides new constructive lower bounds for constant dimension codes, using different techniques such as Ferrers diagram rank metric codes and pending blocks. Constructions for two families of parameters of constant dimension…

Information Theory · Computer Science 2014-09-03 Natalia Silberstein , Anna-Lena Trautmann

In this paper, we consider joint network and LDPC coding for practically implementing the denosie-and-forward protocol over bi-directional relaying. the closed-form expressions for computing the log-likelihood ratios of the network-coded…

Information Theory · Computer Science 2011-05-13 Xiaofu Wu , Weijun Zeng , Chunming Zhao , Xiaohu You

Nowadays polar codes are becoming one of the most favorable capacity achieving error correction codes for their low encoding and decoding complexity. However, due to the large code length required by practical applications, the few existing…

Hardware Architecture · Computer Science 2011-11-04 Chuan Zhang , Bo Yuan , Keshab K. Parhi

This is a Reply on the proceeding comment on our paper titled "Classical Simulations Including Electron Correlations for Sequential Double Ionization".

Atomic Physics · Physics 2013-10-30 Yueming Zhou , Cheng Huang , Qing Liao , Peixiang Lu

Distributed storage systems often introduce redundancy to increase reliability. When coding is used, the repair problem arises: if a node storing encoded information fails, in order to maintain the same level of reliability we need to…

Information Theory · Computer Science 2010-04-27 Alexandros G. Dimakis , Kannan Ramchandran , Yunnan Wu , Changho Suh

This document proposes binomial integer parameters for the cascaded Delta-Sigma-modulator structure with distributed feedback and distributed feedforward input and multi-bit output. It is demonstrated that high orders can be achieved with…

Signal Processing · Electrical Eng. & Systems 2025-11-14 Martin J. W. Schubert

This talk,given at Monte Carlo Workshop, is a review of news in low $x$ physics which, I think, would be useful for writing of the Monte Carlo codes. The following topics are discussed here: (i) the next-to-leading order BFKL Pomeron; (ii)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eugene Levin

A tutorial associated with the distribution of 2D non-LTE multilevel atom radiative transfer codes.

Instrumentation and Methods for Astrophysics · Physics 2019-03-15 F. Paletou , L. Léger , M. Chane-Yook , L. H. Auer

Efficient information reconciliation is crucial in several scenarios, being quantum key distribution a remarkable example. However, efficiency is not the only requirement for determining the quality of the information reconciliation…

Information Theory · Computer Science 2011-04-01 Jesus Martinez-Mateo , David Elkouss , Vicente Martin

We present a new family of low-density parity-check (LDPC) convolutional codes that can be designed using ordered sets of progressive differences. We study their properties and define a subset of codes in this class that have some desirable…

Information Theory · Computer Science 2012-12-21 Marco Baldi , Marco Bianchi , Giovanni Cancellieri , Franco Chiaraluce

This article discusses the available Software Defined Radios (SDRs), compatible software, message formats, and also shows how it is possible to do penetration tests using SDR for Bluetooth Low Energy (BLE) and ZigBee technologies.

Cryptography and Security · Computer Science 2019-02-25 Mahyar Taj Dini , Volodymyr Sokolov

In this paper, we represent Raptor codes as multi-edge type low-density parity-check (MET-LDPC) codes, which gives a general framework to design them for higher-order modulation using MET density evolution. We then propose an efficient…

Information Theory · Computer Science 2017-01-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Sarah J. Johnson

This work applies earlier results on Quasi-Cyclic (QC) LDPC codes to the codes specified in six separate IEEE 802 standards, specifying wireless communications from 54 MHz to 60 GHz. First, we examine the weight matrices specified to upper…

Information Theory · Computer Science 2016-02-10 Brian K. Butler

In the literature there exists analytical expressions for the probability of a receiver decoding a transmitted source message that has been encoded using random linear network coding. In this work, we look into the probability that the…

Information Theory · Computer Science 2022-03-08 Jessica Claridge , Ioannis Chatzigeorgiou

The reliability of memory devices is affected by radiation induced soft errors. Multiple cell upsets (MCUs) caused by radiation corrupt data stored in multiple cells within memories. Error correction codes (ECCs) are typically used to…

Hardware Architecture · Computer Science 2023-08-01 Sayan Tripathi , Jhilam Jana , Jaydeb Bhaumik
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