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By presenting an approximated performance-complexity tradeoff (PCT) algorithm,a low-complexity non-binary low density parity check (LDPC) code over q-ary-input symmetric-output channel is designed in this manuscript which converges faster…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Yang Yu , Wen Chen

Different quantum error correction schemes trade off overhead, error suppression, and hardware connectivity. Code concatenation can relax these tradeoffs by using an outer code whose non-local connectivity is supplied by logical operations…

In this paper, we compare the finite-length performance of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes and LDPC block codes (LDPC-BCs) over GF(q). In order to reduce computational complexity and latency, a…

Information Theory · Computer Science 2014-08-13 Kechao Huang , David G. M. Mitchell , Lai Wei , Xiao Ma , Daniel J. Costello

Raptor codes are rateless codes that achieve the capacity on the binary erasure channels. However the maximum degree of optimal output degree distribution is unbounded. This leads to a computational complexity problem both at encoders and…

Information Theory · Computer Science 2013-02-07 Kosuke Sakata , Kenta Kasai , Kohichi Sakaniwa

Polar codes are the first provable capacity-achieving forward error correction (FEC) codes. In general polar codes can be decoded via either successive cancellation (SC) or belief propagation (BP) decoding algorithm. However, to date…

Information Theory · Computer Science 2014-11-27 Bo Yuan , Keshab K. Parhi

Complex system design problems, such as those involved in aerospace engineering, require the use of numerically costly simulation codes in order to predict the performance of the system to be designed. In this context, these codes are often…

Optimization and Control · Mathematics 2024-02-14 Loic Brevault , Mathieu Balesdent

Federated Learning (FL) has recently received a lot of attention for large-scale privacy-preserving machine learning. However, high communication overheads due to frequent gradient transmissions decelerate FL. To mitigate the communication…

Machine Learning · Computer Science 2021-05-27 Milad Khademi Nori , Sangseok Yun , Il-Min Kim

Spatial modulation (SM) is a promising multiple-input multiple-output system used to increase spectral efficiency. The maximum likelihood (ML) decoder jointly detects the transmitted SM symbol, which is of high complexity. In this paper, a…

Information Theory · Computer Science 2020-06-11 Ibrahim Al-Nahhal , Octavia A. Dobre , Salama Ikki

We provide a rigorous mathematical analysis of two communication strategies: soft decode-and-forward (soft-DF) for relay channels, and soft partial interference-cancelation (soft-IC) for interference channels. Both strategies involve soft…

Information Theory · Computer Science 2016-11-18 Amir Bennatan , Shlomo Shamai , A. Robert Calderbank

The low-interference N-continuous orthogonal frequency division multiplexing (NC-OFDM) system [25], [26] is investigated in terms of power spectrum density (PSD) and bit error rate (BER), to prove and quantify its advantages over…

Information Theory · Computer Science 2023-03-30 Peng Wei , Yue Xiao , Lilin Dan , Shichao Lv , Wei Xiang

Based on the erasure channel FEC model as defined in multimedia wireless broadcast standards, we illustrate how doping mechanisms included in the design of erasure coding and decoding may improve the scalability of the packet throughput,…

Information Theory · Computer Science 2015-03-13 Silvija Kokalj-Filipovic , Emina Soljanin , Predrag Spasojevic

In addition to a proposed codeword, error correction decoders that provide blockwise soft output (SO) return an estimate of the likelihood that the decoding is correct. Following Forney, such estimates are traditionally only possible for…

Information Theory · Computer Science 2025-03-24 Jiewei Feng , Ken R. Duffy , Muriel Médard

This paper studies low-complexity soft-output decoding of turbo product codes with extended Bose--Chaudhuri--Hocquenghem component codes. Recent soft-output from covered space (SOCS) decoding substantially improves the quality of extrinsic…

Information Theory · Computer Science 2026-05-11 Oleg Nesterenkov , Kirill Andreev , Alexey Frolov , Pavel Rybin

Turbo-Codes (TC) are a family of convolutional codes enabling Forward-Error-Correction (FEC) while approaching the theoretical limit of channel capacity predicted by Shannons theorem. One of the bottlenecks of a Turbo Encoder (TE) lies in…

Information Theory · Computer Science 2023-08-30 Ohad Boxerman , Moshe Bensimon , Shlomo Greenberg , Yehuda Ben-Shimol

Spatially coupled, parallel concatenated codes (SC-PCCs) have been shown to approach channel capacity when decoded using optimal iterative methods. However, under complexity constraints such decoding strategies can result in unacceptable…

Information Theory · Computer Science 2021-09-07 Andrew D. Cummins , David G. M. Mitchell , Daniel J. Costello,

We provide a closed form upper bound formulation for the average pairwise-error probability (PEP) of selective decode and forward (SDF) cooperation protocol for a keyhole (pinhole) channel condition. We have employed orthogonal space-time…

Networking and Internet Architecture · Computer Science 2018-09-11 Ravi Shankar , Yamini Chandrakar , Radhika Sinha , Ritesh Kumar Mishra

Quantum processors are often affected by biased noise and noisy readout, which reduce reliability and reproducibility. This work combines two complementary strategies to address these challenges. The first is bias tailoring, which aligns…

Quantum Physics · Physics 2025-09-09 Devon Campbell

Concatenation of two quantum error correcting codes with complementary sets of transversal gates can provide a means towards universal fault-tolerant computation. We first show that it is generally preferable to choose the inner code with…

Quantum Physics · Physics 2017-08-18 Christopher Chamberland , Tomas Jochym-O'Connor

We speed up existing decoding algorithms for three code classes in different metrics: interleaved Gabidulin codes in the rank metric, lifted interleaved Gabidulin codes in the subspace metric, and linearized Reed-Solomon codes in the…

Information Theory · Computer Science 2021-03-11 Hannes Bartz , Thomas Jerkovits , Sven Puchinger , Johan Rosenkilde

This paper introduces three key initiatives in the pursuit of a hybrid decoding framework characterized by superior decoding performance, high throughput, low complexity, and independence from channel noise variance. Firstly, adopting a…

Information Theory · Computer Science 2024-02-06 Guangwen Li , Xiao Yu