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This paper presents a novel scheme dubbed Collision Diversity (CoD) SCRAM, which is provisioned to meet the challenging requirements of the future 6G, portrayed in massive connectivity, reliability, and ultra-low latency. The conventional…

信息论 · 计算机科学 2024-10-11 Sally Nafie , Joerg Robert , Albert Heuberger

In this paper, a new method is given for counting cycles in the Tanner graph of a (Type-I) quasi-cyclic (QC) low-density parity-check (LDPC) code which the complexity mainly is dependent on the base matrix, independent from the CPM-size of…

信息论 · 计算机科学 2023-10-20 Mohammad Gholami , Zahra Gholami

Recently, working on the Tanner graph which represents a low density parity check (LDPC) code becomes an interesting research subject. Finding the number of short cycles of Tanner graphs motivated Blake and Lin to investigate the…

离散数学 · 计算机科学 2018-08-07 Mohsen Alinejad , Kazem Khashyarmanesh

In a digital communication system, information is sent from one place to another over a noisy communication channel using binary symbols (bits). Original information is encoded by adding redundant bits, which are then used by low--density…

信息论 · 计算机科学 2017-09-29 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

With the use of belief propagation (BP) decoding algorithm, low-density parity-check (LDPC) codes can achieve near-Shannon limit performance. In order to evaluate the error performance of LDPC codes, simulators running on CPUs are commonly…

信息论 · 计算机科学 2012-07-30 Yue Zhao , Francis C. M. Lau

Linear nested codes, where two or more sub-codes are nested in a global code, have been proposed as candidates for reliable multi-terminal communication. In this paper, we consider nested array-based spatially coupled low-density…

信息论 · 计算机科学 2021-02-23 Salman Habib , David G. M. Mitchell , Joerg Kliewer

Low-density parity-check codes, a class of capacity-approaching linear codes, are particularly recognized for their efficient decoding scheme. The decoding scheme, known as the sum-product, is an iterative algorithm consisting of passing…

信息论 · 计算机科学 2014-05-27 Nima Noorshams , Aravind Iyengar

We show in this work that reinforcement learning can be successfully applied to decoding short to moderate length sparse graph-based channel codes. Specifically, we focus on low-density parity check (LDPC) codes, which for example have been…

信息论 · 计算机科学 2020-10-20 Salman Habib , Allison Beemer , Joerg Kliewer

In this paper, a random access scheme is introduced which relies on the combination of packet erasure correcting codes and successive interference cancellation (SIC). The scheme is named coded slotted ALOHA. A bipartite graph representation…

信息论 · 计算机科学 2016-11-15 Enrico Paolini , Gianluigi Liva , Marco Chiani

Sparse regression codes (SPARCs) are a class of codes that encode information through the superposition of columns of a randomised coding matrix. The combination with an outer non-binary low density parity check (NB-LDPC) code was recently…

信息论 · 计算机科学 2025-09-23 Alexander Fengler , Burak Çakmak , Giuseppe Caire

This paper analyzes the distribution of cycle lengths in turbo decoding and low-density parity check (LDPC) graphs. The properties of such cycles are of significant interest in the context of iterative decoding algorithms which are based on…

离散数学 · 计算机科学 2010-01-21 Xian-ping Ge , David Eppstein , Padhraic Smyth

This paper proposes a highly efficient global coded-multiplexing scheme, conceptualized as Orthogonal Frequency Division Multiplexing over a finite field (FF-OFDM), for reliable multiuser communications. By utilizing a prime length cyclic…

信息论 · 计算机科学 2026-05-12 Juane Li , Qi-yue Yu , Khaled Abdel-Ghaffar , Shu Lin

In practical asynchronous bi-directional relaying, symbols transmitted by two sources cannot arrive at the relay with perfect frame and symbol alignments and the asynchronous multiple-access channel (MAC) should be seriously considered.…

信息论 · 计算机科学 2011-06-29 Xiaofu Wu , Chunming Zhao , Xiaohu You

In this paper, we construct protograph-based spatially coupled low-density parity-check (SC-LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner graphs into a single coupled chain. By varying L, we obtain…

信息论 · 计算机科学 2016-11-17 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

Spatially coupled low-density parity-check (SC-LDPC) codes are a class of capacity approaching LDPC codes with low message recovery latency when a sliding window decoding is used. In this paper, we first present a new method for the…

信息论 · 计算机科学 2023-10-20 Zeinab Roostaie , Mohammad Gholami , Farzad Parvaresh

We introduce a decoding framework for correlated errors in quantum LDPC codes under circuit-level noise. The core of our approach is a graph augmentation and rewiring for interference (GARI) method, which modifies the correlated detector…

In this paper we investigate the effect of spatial coupling applied to the recently-proposed coded slotted ALOHA (CSA) random access protocol. Thanks to the bridge between the graphical model describing the iterative interference…

信息论 · 计算机科学 2016-11-17 Gianluigi Liva , Enrico Paolini , Michael Lentmaier , Marco Chiani

Quantum low-density parity-check (QLDPC) codes offer a promising route to scalable fault-tolerant quantum computation, but their performance under iterative decoding is strongly influenced by short-cycle structure and other harmful…

信息论 · 计算机科学 2026-05-05 Anthony Gómez-Fonseca , Gretchen L. Matthews , Kirsten D. Morris , Tefjol Pllaha

Ordered statistics decoding has been instrumental in addressing decoding failures that persist after normalized min-sum decoding in short low-density parity-check codes. Despite its benefits, the high computational complexity of effective…

信息论 · 计算机科学 2025-06-23 Guangwen Li , Xiao Yu

We propose a novel encoding/transmission scheme called continuous chain (CC) transmission that is able to improve the finite-length performance of a system using spatially-coupled low-density parity-check (SC-LDPC) codes. In CC…

信息论 · 计算机科学 2019-10-04 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello
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