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Ever since deoxyribonucleic acid (DNA) was considered as a next-generation data-storage medium, lots of research efforts have been made to correct errors occurred during the synthesis, storage, and sequencing processes using error…

Information Theory · Computer Science 2023-06-14 Jaeho Jeong , Hosung Park , Hee-Youl Kwak , Jong-Seon No , Hahyeon Jeon , Jeong Wook Lee , Jae-Won Kim

Neural-network decoders can achieve a lower logical error rate compared to conventional decoders, like minimum-weight perfect matching, when decoding the surface code. Furthermore, these decoders require no prior information about the…

Quantum Physics · Physics 2025-07-30 Boris M. Varbanov , Marc Serra-Peralta , David Byfield , Barbara M. Terhal

A likelihood encoder is studied in the context of lossy source compression. The analysis of the likelihood encoder is based on the soft-covering lemma. It is demonstrated that the use of a likelihood encoder together with the soft-covering…

Information Theory · Computer Science 2016-04-07 Eva C. Song , Paul Cuff , H. Vincent Poor

We present a novel method for error correction in the presence of fading channel estimation errors (CEE). When such errors are significant, considerable performance losses can be observed if the wireless transceiver is not adapted. Instead…

Information Theory · Computer Science 2025-06-18 Charles Wiame , Ken R. Duffy , Muriel Médard

Locally repairable codes (LRCs) were originally introduced to enable efficient recovery from erasures in distributed storage systems by accessing only a small number of other symbols. While their structural properties-such as bounds and…

Information Theory · Computer Science 2026-02-23 Hoang Ly , Emina Soljanin , Philip Whiting

Channel decoding is a challenging task in communication channels exhibiting memory effects. In this work, we apply the recently proposed decoding paradigm of guessing random additive noise decoding (GRAND) to channels with memory, focusing…

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

Soft demodulation is a basic module of traditional communication receivers. It converts received symbols into soft bits, that is, log likelihood ratios (LLRs). However, in the nonideal additive white Gaussian noise (AWGN) channel, it is…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Shilian Zheng , Xiaoyu Zhou , Shichuan Chen , Peihan Qi , Xiaoniu Yang

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

Hinging on ideas from physical-layer network coding, some promising proposals of coded random access systems seek to improve system performance (while preserving low complexity) by means of packet repetitions and decoding of linear…

Information Theory · Computer Science 2018-05-30 Adriano Pastore , Paul de Kerret , Monica Navarro , David Gregoratti , David Gesbert

Fault-tolerant quantum computers use decoders to monitor for errors and find a plausible correction. A decoder may provide a decoder confidence score (DCS) to gauge its success. We adopt a swim distance DCS, computed from the shortest path…

Quantum Physics · Physics 2026-01-19 Maria Dincă , Tim Chan , Simon C. Benjamin

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

CRC codes have long since been adopted in a vast range of applications. The established notion that they are suitable primarily for error detection can be set aside through use of the recently proposed Guessing Random Additive Noise…

Information Theory · Computer Science 2024-10-28 Wei An , Muriel Médard , Ken R. Duffy

We propose a reduced complexity approach to pattern-based soft decoding of block codes. We start from the ORDEPT decoding algorithm which tests a list of partial error patterns organized in the order of their likelihood and attempts to…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Reza Hadavian , Dmitri Truhachev

Wyner's soft-covering lemma is a valuable tool for achievability proofs of information theoretic security, resolvability, channel synthesis, and source coding. The result herein sharpens the claim of soft-covering by moving away from an…

Information Theory · Computer Science 2016-11-17 Paul Cuff

A present challenge in wireless communications is the assurance of ultra-reliable and low-latency communication (URLLC). While the reliability aspect is well known to be improved by channel coding with long codewords, this usually implies…

Information Theory · Computer Science 2023-03-15 Sahar Allahkaram , Francisco A. Monteiro , Ioannis Chatzigeorgiou

This short paper explores density evolution (DE) for low-density parity-check (LDPC) codes at signal-to-noise-ratios (SNRs) that are significantly above the decoding threshold. The focus is on the additive white Gaussian noise channel and…

Information Theory · Computer Science 2014-09-22 Brian K. Butler , Paul H. Siegel

On a fading channel with no channel state information at the receiver, calculating true log-likelihood ratios (LLR) is complicated. Existing work assume that the power of the additive noise is known and use the expected value of the fading…

Information Theory · Computer Science 2012-04-17 Raman Yazdani , Masoud Ardakani

GRAND features both soft-input and hard-input variants that are well suited to efficient hardware implementations that can be characterized with achievable average and worst-case decoding latency. This paper introduces step-GRAND, a…

Signal Processing · Electrical Eng. & Systems 2023-07-28 Syed Mohsin Abbas , Marwan Jalaleddine , Chi-Ying Tsui , Warren J. Gross

Gentle quantum leakage is proposed as a measure of information leakage to arbitrary eavesdroppers that aim to avoid detection. Gentle (also sometimes referred to as weak or non-demolition) measurements are used to encode the desire of the…

Quantum Physics · Physics 2024-03-19 Farhad Farokhi , Sejeong Kim

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 -…