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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…

信息论 · 计算机科学 2012-12-21 Marco Baldi , Marco Bianchi , Giovanni Cancellieri , Franco Chiaraluce

We investigate iterative low-resolution message-passing algorithms for quasi-cyclic LDPC codes with horizontal and vertical layered schedules. Coarse quantization and layered scheduling are highly relevant for hardware implementations to…

信息论 · 计算机科学 2022-12-19 Philipp Mohr , Gerhard Bauch

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

信息论 · 计算机科学 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

Recently introduced Fair-Density Parity-Check (FDPC) codes, targeting high-rate applications, offer superior error-correction performance (ECP) compared to 5G Low-Density Parity-Check (LDPC) codes, given the same number of message-passing…

信息论 · 计算机科学 2025-06-16 Mohsen Moradi , Sheida Rabeti , Hessam Mahdavifar

In this paper, we introduce a new practical and general method for solving the main problem of designing the capacity approaching, optimal rate, irregular low-density parity-check (LDPC) code ensemble over binary erasure channel (BEC).…

信息论 · 计算机科学 2016-11-18 H. Tavakoli , M. Ahmadian Attari , M. Reza Peyghami

One of the challenges often faced with wireless communication systems is its limited range and data-rate. Distributed Transmit Beamforming (DTB) techniques are being developed to address these two issues to provide reliable connectivity…

信号处理 · 电气工程与系统科学 2018-07-18 Ismail Shakeel , Ishtiaq Ahmad , Hajime Suzuki

In cloud storage systems with a large number of servers, files are typically not stored in single servers. Instead, they are split, replicated (to ensure reliability in case of server malfunction) and stored in different servers. We analyze…

分布式、并行与集群计算 · 计算机科学 2018-07-09 Avishek Ghosh , Kannan Ramchandran

Quantum low-density parity-check (qLDPC) codes can achieve high encoding rates and good code distance scaling, providing a promising route to low-overhead fault-tolerant quantum computing. However, the long-range connectivity required to…

We examine the problem of allocating a given total storage budget in a distributed storage system for maximum reliability. A source has a single data object that is to be coded and stored over a set of storage nodes; it is allowed to store…

信息论 · 计算机科学 2016-11-15 Derek Leong , Alexandros G. Dimakis , Tracey Ho

Erasure codes are being increasingly used in distributed-storage systems in place of data-replication, since they provide the same level of reliability with much lower storage overhead. We consider the problem of constructing explicit…

信息论 · 计算机科学 2015-09-08 Preetum Nakkiran , K. V. Rashmi , Kannan Ramchandran

Low-density parity-check (LDPC) codes are one of the most promising families of codes to replace the Goppa codes originally used in the McEliece cryptosystem. In fact, it has been shown that by using quasi-cyclic low-density parity-check…

信息论 · 计算机科学 2016-11-15 Marco Baldi , Marco Bianchi , Franco Chiaraluce

In this paper, we present an efficient algorithm to sample random sparse matrices to be used as check matrices for quantum Low-Density Parity-Check (LDPC) codes. To ease the treatment, we mainly describe our algorithm as a technique to…

信息论 · 计算机科学 2026-01-27 Paolo Santini

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…

信息论 · 计算机科学 2016-11-18 Jaehong Kim , Aditya Ramamoorthy , Steven W. McLaughlin

Modern distributed storage systems often use erasure codes to protect against disk and node failures to increase reliability, while trying to meet the latency requirements of the applications and clients. Storage systems may have caches at…

分布式、并行与集群计算 · 计算机科学 2017-07-24 Vaneet Aggarwal , Yih-Farn R. Chen , Tian Lan , Yu Xiang

LT codes and digital fountain techniques have received significant attention from both academics and industry in the past few years. There have also been extensive interests in applying LT code techniques to distributed storage systems such…

信息论 · 计算机科学 2012-07-25 Yongge Wang

This paper presents several new construction techniques for low-density parity-check (LDPC) and systematic repeat-accumulate (RA) codes. Based on specific classes of combinatorial designs, the improved code design focuses on high-rate…

信息论 · 计算机科学 2018-07-03 Alexander Gruner , Michael Huber

Redundant storage maintains the performance of distributed systems under various forms of uncertainty. This paper considers the uncertainty in node access and download service. We consider two access models under two download service…

信息论 · 计算机科学 2021-08-09 Pei Peng , Moslem Noori , Emina Soljanin

The non-binary low-density parity-check (NB-LDPC) codes can offer promising performance advantages but suffer from high decoding complexity. To tackle this challenge, in this paper, we consider NB-LDPC codes over finite fields as codes over…

信息论 · 计算机科学 2024-10-30 V. B. Wijekoon , Emanuele Viterbo , Yi Hong

We consider spatially coupled low-density parity-check (SC-LDPC) codes within a non-orthogonal interleave division multiple access (IDMA) scheme to avoid cumbersome degree profile matching of the LDPC code components to the iterative…

信息论 · 计算机科学 2019-01-29 Sebastian Cammerer , Xiaojie Wang , Yingyan Ma , Stephan ten Brink

Large-scale systems with all-flash arrays have become increasingly common in many computing segments. To make such systems resilient, we can adopt erasure coding such as Reed-Solomon (RS) code as an alternative to replication because…

分布式、并行与集群计算 · 计算机科学 2019-06-21 Sungjoon Koh , Jie Zhang , Miryeong Kwon , Jungyeon Yoon , David Donofrio , Nam Sung Kim , Myoungsoo Jung