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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

Iterative decoding was not originally introduced as the solution to an optimization problem rendering the analysis of its convergence very difficult. In this paper, we investigate the link between iterative decoding and classical…

Information Theory · Computer Science 2010-01-13 Florence Alberge , Ziad Naja , P. Duhamel

A new class of folded subspace codes for noncoherent network coding is presented. The codes can correct insertions and deletions beyond the unique decoding radius for any code rate $R\in[0,1]$. An efficient interpolation-based decoding…

Information Theory · Computer Science 2015-04-22 Hannes Bartz , Vladimir Sidorenko

Lossy compression algorithms aim to compactly encode images in a way which enables to restore them with minimal error. We show that a key limitation of existing algorithms is that they rely on error measures that are extremely sensitive to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Tamar Rott Shaham , Tomer Michaeli

In this paper we investigate the decoding of parallel turbo codes over the binary erasure channel suited for upper-layer error correction. The proposed algorithm performs on-the-fly decoding, i.e. it starts decoding as soon as the first…

Information Theory · Computer Science 2008-03-13 Ghassan M. Kraidy , Valentin Savin

We propose a new strategy to decode color codes, which is based on the projection of the error onto three surface codes. This provides a method to transform every decoding algorithm of surface codes into a decoding algorithm of color codes.…

Quantum Physics · Physics 2014-01-22 Nicolas Delfosse

We propose a simple decoding algorithm for CSS codes taking into account the correlations between the X part and the Z part of the error. Applying this idea to surface codes, we derive an improved version of the perfect matching decoding…

Information Theory · Computer Science 2016-11-29 Nicolas Delfosse , Jean-Pierre Tillich

In this paper, we study sliding window decoding of braided convolutional codes (BCCs) in the context of a streaming application, where decoder error propagation can be a serious problem. A window extension algorithm and a resynchronization…

Information Theory · Computer Science 2018-01-11 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello, , Baoming Bai

Multi-scale architecture, including hierarchical vision transformer, has been commonly applied to high-resolution semantic segmentation to deal with computational complexity with minimum performance loss. In this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Jiwon Yoo , Jangwon Lee , Gyeonghwan Kim

The task of assigning and validating internationally accepted commodity code (HS code) to traded goods is one of the critical functions at the customs office. This decision is crucial to importers and exporters, as it determines the tariff…

Artificial Intelligence · Computer Science 2021-11-03 Eunji Lee , Sundong Kim , Sihyun Kim , Sungwon Park , Meeyoung Cha , Soyeon Jung , Suyoung Yang , Yeonsoo Choi , Sungdae Ji , Minsoo Song , Heeja Kim

We present a low-complexity and low-latency decoding algorithm for a class of Reed-Muller (RM) subcodes that are defined based on the product of smaller RM codes. More specifically, the input sequence is shaped as a multi-dimensional array,…

Information Theory · Computer Science 2022-02-09 Mohammad Vahid Jamali , Mohammad Fereydounian , Hessam Mahdavifar , Hamed Hassani

We propose a very low-complexity and high-performance algorithm for soft-demapping of multi-dimensional modulation formats. We assess its performance over the linear channel for four 8D formats, generated using binary arithmetics. This…

Information Theory · Computer Science 2019-04-30 Djalal F. Bendimerad , Huijian Zhang , Ingmar Land , Hartmut Hafermann

The typical model for measurement noise in quantum error correction is to randomly flip the binary measurement outcome. In experiments, measurements yield much richer information - e.g., continuous current values, discrete photon counts -…

One important classifier ensemble for multiclass classification problems is Error-Correcting Output Codes (ECOCs). It bridges multiclass problems and binary-class classifiers by decomposing multiclass problems to a serial binary-class…

Machine Learning · Computer Science 2014-04-24 Xiao-Lei Zhang

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

This paper discusses bit-level soft decoding of triple-parity Reed-Solomon (RS) codes through automorphism permutation. A new method for identifying the automorphism groups of RS binary images is first developed. The new algorithm runs…

Information Theory · Computer Science 2013-03-19 Vo Tam Van , Seiichi Mita , Jing , Li , Chau Yuen , Yong Liang Guan

Orthogonality is a much desired property for MIMO coding. It enables symbol-wise decoding, where the errors in other symbol estimates do not affect the result, thus providing an optimality that is worth pursuing. Another beneficial property…

Information Theory · Computer Science 2016-11-17 Risto Nordman

Guessing Random Additive Noise Decoding (GRAND) is a universal decoding algorithm that can be used to perform maximum likelihood decoding. It attempts to find the errors introduced by the channel by generating a sequence of possible error…

Information Theory · Computer Science 2022-07-26 Carlo Condo

In practice, LDPC codes are decoded using message passing methods. These methods offer good performance but tend to converge slowly and sometimes fail to converge and to decode the desired codewords correctly. Recently, tree-reweighted…

Information Theory · Computer Science 2014-03-05 J. Li , R. C. de Lamare , H. Wymeersch

This paper deals with two main issues regarding the short polar codes: the potential of FEC-assisted decoding and optimal code concatenation strategies under various design scenarios. Code concatenation and FEC-assisted decoding are…

Information Theory · Computer Science 2016-07-26 Mohammad Sadegh Mohammadi , Eryk Dutkiewicz , Qi Zhang