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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 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

We introduce a new algorithm for realizing Maximum Likelihood (ML) decoding in discrete channels with or without memory. In it, the receiver rank orders noise sequences from most likely to least likely. Subtracting noise from the received…

Information Theory · Computer Science 2019-08-12 Ken R. Duffy , Jiange Li , Muriel Médard

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

Guessing Random Additive Noise Decoding (GRAND) is a recently proposed Maximum Likelihood (ML) decoding technique. Irrespective of the structure of the error correcting code, GRAND tries to guess the noise that corrupted the codeword in…

Information Theory · Computer Science 2021-08-31 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

We consider a transmitter that encodes data packets using network coding and broadcasts coded packets. A receiver employing network decoding recovers the data packets if a sufficient number of error-free coded packets are gathered. The…

Information Theory · Computer Science 2024-02-13 Ioannis Chatzigeorgiou , Dmitry Savostyanov

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

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 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

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 universal decoding algorithm for linear error correcting codes. Since GRAND does not depend on the structure of the code, it can be used for any code encountered in…

Information Theory · Computer Science 2020-07-16 Syed Mohsin Abbas , Thibaud Tonnellier , Furkan Ercan , Warren J. Gross

Optimal modulation (OM) schemes for Gaussian channels with peak and average power constraints are known to require nonuniform probability distributions over signal points, which presents practical challenges. An established way to map…

Information Theory · Computer Science 2022-11-01 Basak Ozaydin , Muriel Médard , Ken Duffy

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

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) algorithm has emerged as an excellent decoding strategy that can meet both the high reliability and low latency constraints. This paper proposes a successive addition-subtraction algorithm to…

Information Theory · Computer Science 2021-11-02 Ming Zhan , Zhibo Pang , Kan Yu , Jing Xu , Fang Wu

Guessing Random Additive Noise Decoding (GRAND) is a code-agnostic decoding technique for short-length and high-rate channel codes. GRAND tries to guess the channel noise by generating test error patterns (TEPs), and the sequence of the…

Information Theory · Computer Science 2022-12-02 Syed Mohsin Abbas , Marwan Jalaleddine , Warren J. Gross

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 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
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