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To meet the Ultra Reliable Low Latency Communication (URLLC) needs of modern applications, there have been significant advances in the development of short error correction codes and corresponding soft detection decoders. A substantial…

Information Theory · Computer Science 2023-08-11 Ken R. Duffy , Moritz Grundei , Muriel Medard

Error correction techniques traditionally focus on the co-design of restricted code-structures in tandem with code-specific decoders that are computationally efficient when decoding long codes in hardware. Modern applications are, however,…

Information Theory · Computer Science 2022-10-12 Ken R. Duffy , Wei An , Muriel Medard

Guessing Random Additive Noise Decoding (GRAND) is a recently proposed decoding method searching for the error pattern applied to the transmitted codeword. Ordered reliability bit GRAND (ORBGRAND) uses soft channel information to reorder…

Information Theory · Computer Science 2021-10-01 Carlo Condo , Valerio Bioglio , Ingmar Land

Modern applications are driving demand for ultra-reliable low-latency communications, rekindling interest in the performance of short, high-rate error correcting codes. To that end, here we introduce a soft-detection variant of Guessing…

Information Theory · Computer Science 2021-06-16 Ken R. Duffy

Guessing Random Additive Noise Decoding (GRAND) is a universal decoding algorithm that has been recently proposed as a practical way to perform maximum likelihood decoding. It generates a sequence of possible error patterns and applies them…

Information Theory · Computer Science 2022-02-09 Carlo Condo

Proposals have been made to reduce the guesswork of Guessing Random Additive Noise Decoding (GRAND) for binary linear codes by leveraging codebook structure at the expense of degraded block error rate (BLER). We establish one can preserve…

Information Theory · Computer Science 2025-12-18 Lukas Rapp , Muriel Médard , Ken R. Duffy

Guessing random additive noise decoding (GRAND) is a recently proposed decoding paradigm particularly suitable for codes with short length and high rate. Among its variants, ordered reliability bits GRAND (ORBGRAND) exploits soft…

Information Theory · Computer Science 2024-04-30 Li Wan , Wenyi Zhang

Guessing random additive noise decoding (GRAND) is a universal decoding paradigm that decodes by repeatedly testing error patterns until identifying a codeword, where the ordering of tests is generated by the received channel values. On one…

Information Theory · Computer Science 2025-07-14 Li Wan , Huarui Yin , Wenyi Zhang

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

Guessing Random Additive Noise Decoding (GRAND) is a recently proposed approximate Maximum Likelihood (ML) decoding technique that can decode any linear error-correcting block code. Ordered Reliability Bits GRAND (ORBGRAND) is a powerful…

Information Theory · Computer Science 2021-05-18 Syed Mohsin Abbas , Thibaud Tonnellier , Furkan Ercan , Marwan Jalaleddine , Warren J. Gross

Decoding via sequentially guessing the error pattern in a received noisy sequence has received attention recently, and ORBGRAND has been proposed as one such decoding algorithm that is capable of utilizing the soft information embedded in…

Information Theory · Computer Science 2022-12-20 Mengxiao Liu , Yuejun Wei , Zhenyuan Chen , Wenyi Zhang

Guessing Random Additive Noise Decoding (GRAND) is a universal framework for decoding all block codes by testing candidate error patterns (EPs). Ordered Reliability Bits GRAND (ORBGRAND) facilitates parallel implementation of GRAND by…

Information Theory · Computer Science 2026-02-03 Li Wan , Wenyi Zhang

Guessing Random Additive Noise Decoding (GRAND) is a recently proposed universal Maximum Likelihood (ML) decoder for short-length and high-rate linear block-codes. Soft-GRAND (SGRAND) is a prominent soft-input GRAND variant, outperforming…

Information Theory · Computer Science 2022-12-05 Syed Mohsin Abbas , Marwan Jalaleddine , Warren J. Gross

Guessing Codeword Decoding (GCD) is a recently proposed soft-input forward error correction decoder for arbitrary binary linear codes. Inspired by recent proposals that leverage binary linear codebook structure to reduce the number of…

Information Theory · Computer Science 2024-12-23 Joseph Griffin , Peihong Yuan , Ken R. Duffy , Muriel Medard

Guessing Random Additive Noise Decoding (GRAND) is a family of hard- and soft-detection error correction decoding algorithms that provide accurate decoding of any moderate redundancy code of any length. Here we establish a method through…

Information Theory · Computer Science 2023-08-11 Kevin Galligan , Peihong Yuan , Muriel Médard , Ken R. Duffy

We introduce a novel approach to error correction decoding in the presence of additive alpha-stable noise, which serves as a model of interference-limited wireless systems. In the absence of modifications to decoding algorithms, treating…

Information Theory · Computer Science 2024-10-31 Charles Wiame , Ken R. Duffy , Muriel Médard

Within the Guessing Random Additive Noise Decoding (GRAND) family, ordered reliability bits GRAND (ORBGRAND) has received considerable attention for its hardware-friendly exploitation of soft information. Existing information-theoretic…

Information Theory · Computer Science 2026-03-12 Zhuang Li , Wenyi Zhang

Guessing Random Additive Noise Decoding (GRAND) is a family of universal decoding algorithms suitable for decoding any moderate redundancy code of any length. We establish that, through the use of list decoding, soft-input variants of GRAND…

Information Theory · Computer Science 2022-08-10 Kevin Galligan , Muriel Médard , Ken R. Duffy

The ordered-reliability bits (ORB) variant of guessing random additive noise decoding (GRAND), known as ORBGRAND, achieves remarkably low time complexity at high code rates compared to other GRAND variants. However, its computational…

Information Theory · Computer Science 2025-02-05 Mohammad Rowshan , Jinhong Yuan

Guessing random additive noise decoding (GRAND) has received widespread attention recently, and among its variants, ordered reliability bits GRAND (ORBGRAND) is particularly attractive due to its efficient utilization of soft information…

Information Theory · Computer Science 2024-04-30 Zhuang Li , Wenyi Zhang
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