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Related papers: SOGRAND Assisted Guesswork Reduction

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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 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

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

There have been significant advances in recent years in the development of forward error correction decoders that can decode codes of any structure, including practical realizations in synthesized circuits and taped out chips. While…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Jiewei Feng , Ken R. Duffy , Muriel Médard

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

In this paper, we distinguish two guessing algorithms for decoding binary linear codes. One is the guessing noise decoding (GND) algorithm, and the other is the guessing codeword decoding (GCD) algorithm. We prove that the GCD is a maximum…

Information Theory · Computer Science 2024-01-31 Xiao Ma

Future beyond-5G and 6G systems demand ultra-reliable, low-latency communication with short blocklengths, motivating the development of universal decoding algorithms. Guessing decoding, which infers the noise or codeword candidate in order…

Information Theory · Computer Science 2025-11-24 Qianfan Wang , Jifan Liang , Peihong Yuan , Ken R. Duffy , Muriel Médard , Xiao Ma

Guessing random additive noise decoding (GRAND) is a noise-centric decoding method, which is suitable for ultra-reliable low-latency communications, as it supports high-rate error correction codes that generate short-length codewords. GRAND…

Information Theory · Computer Science 2022-12-12 Ioannis Chatzigeorgiou , Francisco A. Monteiro

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 maximum likelihood (ML) decoding method that identifies the noise effects corrupting code-words of arbitrary code-books. In a joint detection and decoding framework, this work…

Information Theory · Computer Science 2023-04-18 Hadi Sarieddeen , Muriel Médard , Ken. R. Duffy

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

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

Guessing random additive noise decoding (GRAND) is a universal maximum-likelihood decoder that recovers code-words by guessing rank-ordered putative noise sequences and inverting their effect until one or more valid code-words are obtained.…

Information Theory · Computer Science 2023-04-18 Hadi Sarieddeen , Muriel Médard , Ken. R. Duffy

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

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

Guessing random additive noise decoding (GRAND) is a code-agnostic decoding method that iteratively guesses the noise pattern affecting the received codeword. The number of noise sequences to test depends on the noise realization. Thus,…

Signal Processing · Electrical Eng. & Systems 2025-02-10 Filippo Christen , Darja Nonaca , Christoph Studer

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 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

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 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
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