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Error correction code is a major part of the communication physical layer, ensuring the reliable transfer of data over noisy channels. Recently, neural decoders were shown to outperform classical decoding techniques. However, the existing…

Machine Learning · Computer Science 2022-03-30 Yoni Choukroun , Lior Wolf

Transversal gates are logical gate operations on encoded quantum information that are efficient in gate count and depth, and are designed to minimize error propagation. Efficient encoding circuits for quantum codes that admit transversal…

Quantum Physics · Physics 2024-05-24 Praveen Jayakumar , Priya J. Nadkarni , Shayan Srinivasa Garani

We propose several improvements for Linear Programming (LP) decoding algorithms for High Density Parity Check (HDPC) codes. First, we use the automorphism groups of a code to create parity check matrix diversity and to generate valid cuts…

Information Theory · Computer Science 2016-11-18 Alex Yufit , Asi Lifshitz , Yair Be'ery

Inter-symbol interference (ISI) limits reliability in diffusion-based molecular communication (MC) channels. We propose RLIM, a family of run-length-limited (RLL) codes that form fixed-size codebooks by minimizing the total number of…

Information Theory · Computer Science 2026-01-29 Melih Şahin , Ozgur B. Akan

We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every $0 < R < 1$ and $\eps> 0$, we present an explicit construction of…

Information Theory · Computer Science 2007-10-08 Venkatesan Guruswami , Atri Rudra

Large language models have demonstrated exceptional capability in natural language understanding and generation. However, their generation speed is limited by the inherently sequential nature of their decoding process, posing challenges for…

Computation and Language · Computer Science 2024-05-27 Chenxi Sun , Hongzhi Zhang , Zijia Lin , Jingyuan Zhang , Fuzheng Zhang , Zhongyuan Wang , Bin Chen , Chengru Song , Di Zhang , Kun Gai , Deyi Xiong

Fault-tolerant quantum computing relies on Quantum Error Correction, which encodes logical qubits into data and parity qubits. Error decoding is the process of translating the measured parity bits into types and locations of errors. To…

Quantum Physics · Physics 2024-04-05 Narges Alavisamani , Suhas Vittal , Ramin Ayanzadeh , Poulami Das , Moinuddin Qureshi

In order to protect intellectual property against untrusted foundry, many logic-locking schemes have been developed. The main idea of logic locking is to insert a key-controlled block into a circuit to make the circuit function incorrectly…

Hardware Architecture · Computer Science 2022-11-04 Jingbo Zhou , Xinmiao Zhang

In this paper, we develop a new decoding algorithm of a binary linear codes for symbol-pair read channels. Symbol-pair read channel has recently been introduced by Cassuto and Blaum to model channels with high write resolution but low read…

Information Theory · Computer Science 2016-12-21 Shunsuke Horii , Toshiyasu Matsushima , Shigeichi Hirasawa

Codes in the sum-rank metric have various applications in error control for multishot network coding, distributed storage and code-based cryptography. Linearized Reed-Solomon (LRS) codes contain Reed-Solomon and Gabidulin codes as…

Information Theory · Computer Science 2022-09-05 Felicitas Hörmann , Hannes Bartz , Sven Puchinger

Polar codes are a class of linear block codes that provably achieves channel capacity. They have been selected as a coding scheme for the control channel of enhanced mobile broadband (eMBB) scenario for $5^{\text{th}}$ generation wireless…

Hardware Architecture · Computer Science 2020-06-04 Furkan Ercan , Thibaud Tonnellier , Carlo Condo , Warren J. Gross

Multimodal large language models (MLLM) have achieved satisfactory results in many tasks. However, their performance in the task of ReID (ReID) has not been explored to date. This paper will investigate how to adapt them for the task of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Shan Yang , Yongfei Zhang

With Motor-Imagery (MI) Brain--Machine Interfaces (BMIs) we may control machines by merely thinking of performing a motor action. Practical use cases require a wearable solution where the classification of the brain signals is done locally…

Signal Processing · Electrical Eng. & Systems 2021-02-23 Xiaying Wang , Tibor Schneider , Michael Hersche , Lukas Cavigelli , Luca Benini

In this work we propose RELDEC, a novel approach for sequential decoding of moderate length low-density parity-check (LDPC) codes. The main idea behind RELDEC is that an optimized decoding policy is subsequently obtained via reinforcement…

Information Theory · Computer Science 2023-07-28 Salman Habib , Allison Beemer , Joerg Kliewer

Elliptic curve cryptography (ECC) has emerged as the dominant public-key protocol, with NIST standardizing parameters for binary field GF(2^m) ECC systems. This work presents a hardware implementation of a Hybrid Multiplication technique…

Cryptography and Security · Computer Science 2025-06-25 Ruby Kumari , Gaurav Purohit , Abhijit Karmakar

Generalized Reed-Solomon (RS) codes are a common choice for efficient, reliable error correction in memory and communications systems. These codes add $2t$ extra parity symbols to a block of memory, and can efficiently and reliably correct…

Information Theory · Computer Science 2024-05-28 Mike Hamburg , Eric Linstadt , Danny Moore , Thomas Vogelsang

Multi-Chip-Modules (MCMs) reduce the design and fabrication cost of machine learning (ML) accelerators while delivering performance and energy efficiency on par with a monolithic large chip. However, ML compilers targeting MCMs need to…

Arbitrarily long quantum computations require quantum memories that can be repeatedly measured without being corrupted. Here, we preserve the state of a quantum memory, notably with the additional use of flagged error events. All error…

The recently introduced polar codes constitute a breakthrough in coding theory due to their capacityachieving property. This goes hand in hand with a quasilinear construction, encoding, and successive cancellation list decoding procedures…

Information Theory · Computer Science 2021-10-19 Kirill Ivanov , Rüdiger Urbanke

Large-scale quantum computers have the potential to hold computational capabilities beyond conventional computers for certain problems. However, the physical qubits within a quantum computer are prone to noise and decoherence, which must be…

Quantum Physics · Physics 2024-06-06 Luka Skoric , Dan E. Browne , Kenton M. Barnes , Neil I. Gillespie , Earl T. Campbell