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We introduce a generalized low-density parity-check decoding framework for quantum Tanner codes utilizing soft-output guessing random additive noise decoding (SOGRAND). By soft-output decoding entire component codes, we mitigate trapping…

Quantum Physics · Physics 2026-03-20 Lukas Rapp , Muriel Médard , Eugene Tang , Ken R. Duffy

Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Yi Lei , Alex Alvarado , Bin Chen , Xiong Deng , Zizheng Cao , Jianqiang Li , Kun Xu

Bit-flipping (BF) decoding of low-density parity-check codes is of low complexity but gives inferior performance in general. To improve performance and provide new BF decoder options for complexity-performance tradeoffs, we propose new…

Information Theory · Computer Science 2015-09-01 Tofar C. -Y. Chang , Yu T. Su

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…

Information Theory · Computer Science 2025-06-23 Guangwen Li , Xiao Yu

We consider probabilistic shaping to maximize the achievable information rate of coded modulation (CM) with hard decision decoding. The proposed scheme using binary staircase codes outperforms its uniform CM counterpart by more than 1.3 dB…

Information Theory · Computer Science 2017-05-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

Generalized product codes (GPCs) are extensions of product codes (PCs) where code symbols are protected by two component codes but not necessarily arranged in a rectangular array. We consider a deterministic construction of GPCs (as opposed…

Information Theory · Computer Science 2017-02-28 Christian Häger , Henry D. Pfister , Alexandre Graell i Amat , Fredrik Brännström

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

Benefiting from performance advantages under short code lengths, polar codes are well-suited for certain scenarios, such as the future Internet of Things (IoT) applications that require high reliability and low power. Existing list flip…

Information Theory · Computer Science 2025-04-01 Yansong Lv , Jingxin Dai , Yuhuan Wang , Hang Yin , Zhanxin Yang

Noise in quantum computing is countered with quantum error correction. Achieving optimal performance will require tailoring codes and decoding algorithms to account for features of realistic noise, such as the common situation where the…

Quantum Physics · Physics 2020-04-02 David K. Tuckett , Stephen D. Bartlett , Steven T. Flammia , Benjamin J. Brown

Rule-based text data augmentation is widely used for NLP tasks due to its simplicity. However, this method can potentially damage the original meaning of the text, ultimately hurting the performance of the model. To overcome this…

Computation and Language · Computer Science 2024-02-09 Juhwan Choi , Kyohoon Jin , Junho Lee , Sangmin Song , Youngbin Kim

The design of reliable and efficient codes for channels with feedback remains a longstanding challenge in communication theory. While significant improvements have been achieved by leveraging deep learning techniques, neural codes often…

Information Theory · Computer Science 2026-02-19 Sravan Kumar Ankireddy , Krishna Narayanan , Hyeji Kim

Multiple-input multiple-output (MIMO) systems have been widely acclaimed in order to provide high data rates. Recently Lattice Reduction (LR) aided detectors have been proposed to achieve near Maximum Likelihood (ML) performance with low…

Information Theory · Computer Science 2016-02-22 Mehnaz Rahman , Gwan S. Choi

Reliability is an important requirement for both communication and storage systems. Due to continuous scale down of technology multiple adjacent bits error probability increases. The data may be corrupted due soft errors. Error correction…

Hardware Architecture · Computer Science 2020-02-19 Sayan Tripathi , Jhilam Jana , Jaydeb Bhaumik

Color codes are promising quantum error correction (QEC) codes because they have an advantage over surface codes in that all Clifford gates can be implemented transversally. However, thresholds of color codes under circuit-level noise are…

Quantum Physics · Physics 2024-09-18 Yugo Takada , Keisuke Fujii

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

Information Theory · Computer Science 2017-01-27 Laurent Schmalen , Vahid Aref , Fanny Jardel

Binary turbo product codes (TPCs) are powerful error-correcting codes constructed from short component codes. Traditionally, turbo product decoding passes log likelihood ratios (LLRs) between the component decoders, inherently losing…

Information Theory · Computer Science 2025-11-12 Lukas Rapp , Muriel Médard , Ken R. Duffy

One popular approach to soft-decision decoding of Reed-Solomon (RS) codes is based on using multiple trials of a simple RS decoding algorithm in combination with erasing or flipping a set of symbols or bits in each trial. This paper…

Information Theory · Computer Science 2015-03-17 Phong S. Nguyen , Henry D. Pfister , Krishna R. Narayanan

In a digital communication system, information is sent from one place to another over a noisy communication channel. It may be possible to detect and correct errors that occur during the transmission if one encodes the original information…

Information Theory · Computer Science 2017-08-21 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

In this paper, we propose a fast decoder algorithm for uniquely decodable (errorless) code sets for overloaded synchronous optical code-division multiple-access (O-CDMA) systems. The proposed decoder is designed in a such a way that the…

Information Theory · Computer Science 2019-02-27 Michel Kulhandjian , Hovannes Kulhandjian , Claude D'Amours , Halim Yanikomeroglu , Gurgen Khachatrian

The likelihood encoder with a random codebook is demonstrated as an effective tool for source coding. Coupled with a soft covering lemma (associated with channel resolvability), likelihood encoders yield simple achievability proofs for…

Information Theory · Computer Science 2013-08-01 Paul Cuff , Eva C. Song