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We study low-complexity iterative decoding algorithms for product codes. We revisit two algorithms recently proposed by the authors based on bounded distance decoding (BDD) of the component codes that improve the performance of conventional…

Information Theory · Computer Science 2018-06-29 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Christian Häger , Henry D. Pfister

We present a novel framework for applying deep neural networks (DNN) to soft decoding of linear codes at arbitrary block lengths. Unlike other approaches, our framework allows unconstrained DNN design, enabling the free application of…

Information Theory · Computer Science 2018-02-27 Amir Bennatan , Yoni Choukroun , Pavel Kisilev

We introduce a novel soft-aided hard-decision decoder for product codes adopting bit marking via updated reliabilities at each decoding iteration. Gains up to 0.8 dB vs. standard iterative bounded distance decoding and up to 0.3 dB vs. our…

Information Theory · Computer Science 2019-06-25 Gabriele Liga , Alireza Sheikh , Alex Alvarado

The Bit-Flipping (BF) decoder, thanks to its very low computational complexity, is widely employed in post-quantum cryptographic schemes based on Moderate Density Parity Check codes in which, ultimately, decryption boils down to syndrome…

Information Theory · Computer Science 2025-06-12 Alessio Baldelli , Marco Baldi , Franco Chiaraluce , Paolo Santini

We propose a two-layer coding architecture for communication of multiple users over a shared slotted medium enabling joint collision resolution and decoding. Each user first encodes its information bits with an outer code for reliability,…

Information Theory · Computer Science 2020-08-18 MohammadReza Ebrahimi , Farshad Lahouti , Victoria Kostina

We consider a point-to-point flat-fading MIMO channel with channel state information known both at transmitter and receiver. At the transmitter side, a lattice coding scheme is employed at each antenna to map information symbols to…

Information Theory · Computer Science 2015-04-02 Amin Sakzad , Emanuele Viterbo

A comprehensive study of the coded performance of long-haul spectrally-efficient WDM optical fiber transmission systems with different coded modulation decoding structures is presented. Achievable information rates are derived for three…

Information Theory · Computer Science 2024-01-25 Gabriele Liga , Alex Alvarado , Erik Agrell , Polina Bayvel

The development of practical, high-performance decoding algorithms reduces the resource cost of fault-tolerant quantum computing. Here we propose a decoder for the surface code that finds low-weight correction operators for errors produced…

Quantum Physics · Physics 2025-02-19 Asmae Benhemou , Kaavya Sahay , Lingling Lao , Benjamin J. Brown

Ensemble models are widely used to solve complex tasks by their decomposition into multiple simpler tasks, each one solved locally by a single member of the ensemble. Decoding of error-correction codes is a hard problem due to the curse of…

Information Theory · Computer Science 2020-05-12 Tomer Raviv , Nir Raviv , Yair Be'ery

The dynamic decode-and-forward (DDF) relaying protocol is a relatively new cooperative scheme which has been shown to achieve promising theoretical results in terms of diversity-multiplexing gain tradeoff and error rates. The case of a…

Information Theory · Computer Science 2015-03-17 Charlotte Hucher , Parastoo Sadeghi

Decoders that provide an estimate of the probability of a logical failure conditioned on the error syndrome ("soft-output decoders") can reduce the overhead cost of fault-tolerant quantum memory and computation. In this work, we construct…

Quantum Physics · Physics 2024-06-04 Nadine Meister , Christopher A. Pattison , John Preskill

Next-generation wireless networks are conceived to provide reliable and high-data-rate communication services for diverse scenarios, such as vehicle-to-vehicle, unmanned aerial vehicles, and satellite networks. The severe Doppler spreads in…

An efficient decoding algorithm named `divided decoder' is proposed in this paper. Divided decoding can be combined with any decoder using QR-decomposition and offers different pairs of performance and complexity. Divided decoding provides…

Information Theory · Computer Science 2009-01-23 In Sook Park

Point-to-multipoint communications are expected to play a pivotal role in next-generation networks. This paper refers to a cellular system transmitting layered multicast services to a multicast group of users. Reliability of communications…

Information Theory · Computer Science 2016-11-17 Andrea Tassi , Ioannis Chatzigeorgiou , Daniel E. Lucani

Data center networks (DCNs) require a low-cost, low-power optical transceiver to handle increased traffic from generative artificial intelligence, video streaming services, and more. Improving the required signal-to-noise ratio (RSNR) by…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Takeshi Kakizaki , Masanori Nakamura , Fukutaro Hamaoka , Shuto Yamamoto , Etsushi Yamazaki

Recently, Transformer-based encoder-decoder models have demonstrated strong performance in multilingual speech recognition. However, the decoder's autoregressive nature and large size introduce significant bottlenecks during inference.…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-28 Yunkyu Lim , Jihwan Park , Hyung Yong Kim , Hanbin Lee , Byeong-Yeol Kim

Affine frequency division multiplexing (AFDM) is a strong candidate for the sixth-generation wireless network thanks to its strong resilience to delay-Doppler spreads. In this letter, we investigate the error performance of coded AFDM…

Information Theory · Computer Science 2023-11-28 Haoran Yin

Massive multiuser multiple-input multiple-output (MU-MIMO) systems are expected to be the core technology in fifth-generation wireless systems because they significantly improve spectral efficiency. However, the requirement for a large…

Information Theory · Computer Science 2018-04-24 Chang-Jen Wang , Chao-Kai Wen , Shi Jin , Shang-Ho Tsai

This paper presents a highly robust space-frequency block coded (SFBC) multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) system. The proposed system is based on applying a short block length Walsh…

Information Theory · Computer Science 2012-08-16 F. Kalbat , A. Al-Dweik

We present novel decoding schemes for hard and soft decision decoding of block codes using the minimal weight codewords of the dual code. The decoding schemes will be described for cyclic codes where polynomials can be used, however, the…

Information Theory · Computer Science 2020-01-10 Martin Bossert