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This paper proposes a novel joint non-binary network-channel code for the Time-Division Decode-and-Forward Multiple Access Relay Channel (TD-DF-MARC), where the relay linearly combines -- over a non-binary finite field -- the coded…

信息论 · 计算机科学 2016-11-15 Mikel Hernaez , Pedro M. Crespo , Javier Del Ser

We present a constraint-coding scheme to correct asymmetric magnitude-$1$ errors in multi-level non-volatile memories. For large numbers of such errors, the scheme is shown to deliver better correction capability compared to known…

信息论 · 计算机科学 2017-09-12 Evyatar Hemo , Yuval Cassuto

Quantum error correction is indispensable to achieving reliable quantum computation. When quantum information is encoded redundantly, a larger Hilbert space is constructed using multiple physical qubits, and the computation is performed…

量子物理 · 物理学 2026-01-29 Hoshitaro Ohnishi , Hideo Mukai

Unconventional receivers enable reduction of error rates in optical communication systems below the standard quantum limit (SQL) by implementing discrimination strategies for constellation symbols that go beyond the canonical measurement of…

量子物理 · 物理学 2019-10-01 L. Kunz , M. T. DiMario , F. E. Becerra , K. Banaszek

In this paper, we introduce the Union-Intersection Union-Find (UIUF) algorithm for decoding depolarizing errors in topological codes, combining the strengths of iterative and standard Union-Find (UF) decoding. While iterative UF improves…

量子物理 · 物理学 2025-07-14 Tzu-Hao Lin , Ching-Yi Lai

Polar codes have gained significant amount of attention during the past few years and have been selected as a coding scheme for the next generation of mobile broadband standard. Among decoding schemes, successive-cancellation list (SCL)…

信息论 · 计算机科学 2017-08-31 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors. However, the available experimental data shows that realistic errors in modern…

Due to the sequential nature of the successive-cancellation (SC) algorithm, the decoding of polar codes suffers from significant decoding latencies. Fast SC decoding is able to speed up the SC decoding process, by implementing parallel…

信息论 · 计算机科学 2022-11-21 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

This work constructs codes that are efficiently decodable from a constant fraction of \emph{worst-case} insertion and deletion errors in three parameter settings: (i) Binary codes with rate approaching 1; (ii) Codes with constant rate for…

信息论 · 计算机科学 2016-05-17 Venkatesan Guruswami , Ray Li

This paper generalizes results in noncoherent space-time block code (STBC) design based on quantum error correction (QEC) to new antenna configurations. Previous work proposed QEC-inspired STBCs for antenna geometries where the number of…

信号处理 · 电气工程与系统科学 2026-01-27 S. Andrew Lanham , Eli Bradley , Brian R. La Cour

The design of block codes for short information blocks (e.g., a thousand or less information bits) is an open research problem that is gaining relevance thanks to emerging applications in wireless communication networks. In this paper, we…

High-resolution array detectors are widely used in single-particle tracking, but their performance is limited by excess noise from background light and dark current. As pixel resolution increases, the diminished signal per pixel exacerbates…

量子物理 · 物理学 2025-12-16 Chao-Ning Hu , Jun Xin , Xiao-Ming Lu

This paper proposes a new iterative gradient descent decoding method for real number parity codes. The proposed decoder, named Gradient Descent Symbol Update (GDSU), is used for a class of low-density parity-check (LDPC) real-number codes…

信息论 · 计算机科学 2024-11-26 Oana Boncalo , Alexandru Amaricai

We describe a novel extension of subspace codes for noncoherent networks, suitable for use when the network is viewed as a communication system that introduces both dimension and symbol errors. We show that when symbol erasures occur in a…

信息论 · 计算机科学 2012-09-25 Vitaly Skachek , Olgica Milenkovic , Angelia Nedic

We investigate the benefits and challenges of utilizing the frequency information in differential equation identification. Solving differential equations and Fourier analysis are closely related, yet there is limited work in exploring this…

数值分析 · 数学 2023-11-29 Mengyi Tang , Hao Liu , Wenjing Liao , Sung Ha Kang

Targeting high-throughput and low-power communications, we implement two successive cancellation (SC) decoders for polar codes. With $16nm$ ASIC technology, the area efficiency and energy efficiency are $4Tbps/mm^2$ and $0.63pJ/bit$,…

信息论 · 计算机科学 2021-07-20 Jiajie Tong , Xianbin Wang , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong

Quantum error correction requires decoders that are both accurate and efficient. To this end, union-find decoding has emerged as a promising candidate for error correction on the surface code. In this work, we benchmark a weighted variant…

量子物理 · 物理学 2020-07-22 Shilin Huang , Michael Newman , Kenneth R. Brown

Polar codes are a class of linear block codes that provably achieves channel capacity, and have been selected as a coding scheme for $5^{\rm th}$ generation wireless communication standards. Successive-cancellation (SC) decoding of polar…

信息论 · 计算机科学 2018-09-28 Carlo Condo , Furkan Ercan , Warren J. Gross

Ultra-reliable low-latency communications (URLLC) demand high-performance error-correcting codes and decoders in the finite blocklength regime. This letter introduces a novel two-stage near-maximum likelihood (near-ML) decoding framework…

信号处理 · 电气工程与系统科学 2026-02-10 Yubeen Jo , Geon Choi , Yongjune Kim , Namyoon Lee

High-rate space-time block codes (STBC with code rate > 1) in multi-input multi-output (MIMO) systems are able to provide both spatial multiplexing gain and diversity gain, but have high maximum likelihood (ML) decoding complexity. Since…

信息论 · 计算机科学 2016-11-18 Tian Peng Ren , Yong Liang Guan , Chau Yuen , Erry Gunawan , Er Yang Zhang