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A Novel Progressive Edge Growth-Based Codebook Design for SCMA Systems
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作者 Lei Tuofeng Ni Shuyan +2 位作者 Luo Qu Chen Shimiao Xiao Pei 《China Communications》 2025年第6期116-130,共15页
This paper proposes a class of novel progressive edge growth-based codebooks for downlink sparse code multiple access(SCMA)systems.In the first scheme,we propose to progressively design the codebooks of each resource ... This paper proposes a class of novel progressive edge growth-based codebooks for downlink sparse code multiple access(SCMA)systems.In the first scheme,we propose to progressively design the codebooks of each resource node(RN)instead of rotating a mother constellation(MC)as in the conventional SCMA works.In the other one,based on the MC,a multi-resources rotated codebooks are proposed to improve the performance of the superimposed constellations.The resultant codebooks are respectively referred to as the resource edge multidimensional codebooks(REMC)and the user edge multi-dimensional codebooks(UEMC).Additionally,we delve into the detailed design of the MC and the superimposed constellation.Then,we pay special attention to the application of the proposed schemes to challenging design cases,particularly for the high dimensional,high rate,and irregular codebooks,where the corresponding simplified schemes are proposed to reduce the complexity of codebook design.Finally,simulation results are presented to demonstrate the superiority of our progressive edge growth-based schemes.The numerical results indicate that the proposed codebooks significantly outperform the stateof-the-art codebooks.In addition,we also show that the proposed REMC codebooks outperform in the lower signal-to-noise ratio(SNR)regime,whereas the UEMC codebooks exhibit better performance at higher SNRs. 展开更多
关键词 codebook design resource edge multidimensional codebooks(REMC) sparse code multiple access(SCMA) symbol error performance user edge multi-dimensional codebooks(UEMC)
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Construction of Constant Rank and Orbit Codes over Finite Chain Rings
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作者 GUO Ye LIU Xiusheng 《Wuhan University Journal of Natural Sciences》 2025年第3期289-301,共13页
In this paper,we first generalize the constant dimension and orbit codes over finite fields to the constant rank and orbit codes over finite chain rings.Then we provide a relationship between constant rank codes over ... In this paper,we first generalize the constant dimension and orbit codes over finite fields to the constant rank and orbit codes over finite chain rings.Then we provide a relationship between constant rank codes over finite chain rings and constant dimension codes over the residue fields.In particular,we prove that an orbit submodule code over a finite chain ring is a constant rank code.Finally,for special finite chain ring F_(q)+γF_(q),we define a Gray mapφfrom(F_(q)+γF_(q))^(n)to F^(2n)_(q),and by using cyclic codes over F_(q)+γF_(q),we obtain a method of constructing an optimum distance constant dimension code over F_(q). 展开更多
关键词 finite chain ring rank of linear codes constant rank codes orbit codes
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Design of Serially Concatenated Two-Level Polar Coded Modulation System with Low-Complexity
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作者 Zhou Lin Liao Guojun +3 位作者 Xu Lei An Ran Xie Xianzhong Wang Xi 《China Communications》 2025年第1期102-110,共9页
Multilevel coding(MLC)is a commonly used polar coded modulation scheme,but challenging to implement in engineering due to its high complexity and long decoding delay for high-order modulations.To address these limitat... Multilevel coding(MLC)is a commonly used polar coded modulation scheme,but challenging to implement in engineering due to its high complexity and long decoding delay for high-order modulations.To address these limitations,a novel two-level serially concatenated MLC scheme,in which the bitlevels with similar reliability are bundled and transmitted together,is proposed.The proposed scheme hierarchically protects the two bit-level sets:the bitlevel sets at the higher level are sufficiently reliable and do not require excessive resources for protection,whereas only the bit-level sets at the lower level are encoded by polar codes.The proposed scheme has the advantages of low power consumption,low delay and high reliability.Moreover,an optimized constellation signal labeling rule that can enhance the performance is proposed.Finally,the superiority of the proposed scheme is validated through the theoretical analysis and simulation results.Compared with the bit interleaving coding modulation(BICM)scheme,under 256-quadrature amplitude modulation(QAM),the proposed scheme attains a performance gain of 1.0 dB while reducing the decoding complexity by 54.55%. 展开更多
关键词 bit-interleaved coded modulation high-order modulation multilevel coding polar codes
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Research on deep learning decoding method for polar codes in ACO-OFDM spatial optical communication system
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作者 LIU Kangrui LI Ming +2 位作者 CHEN Sizhe QU Jiashun ZHOU Ming’ou 《Optoelectronics Letters》 2025年第7期427-433,共7页
Aiming at the problem that the bit error rate(BER)of asymmetrically clipped optical orthogonal frequency division multiplexing(ACO-OFDM)space optical communication system is significantly affected by different turbule... Aiming at the problem that the bit error rate(BER)of asymmetrically clipped optical orthogonal frequency division multiplexing(ACO-OFDM)space optical communication system is significantly affected by different turbulence intensities,the deep learning technique is proposed to the polarization code decoding in ACO-OFDM space optical communication system.Moreover,this system realizes the polarization code decoding and signal demodulation without frequency conduction with superior performance and robustness compared with the performance of traditional decoder.Simulations under different turbulence intensities as well as different mapping orders show that the convolutional neural network(CNN)decoder trained under weak-medium-strong turbulence atmospheric channels achieves a performance improvement of about 10^(2)compared to the conventional decoder at 4-quadrature amplitude modulation(4QAM),and the BERs for both 16QAM and 64QAM are in between those of the conventional decoder. 展开更多
关键词 frequency conduction polar codes deep learning signal demodulation deep learning technique DECODING ACO OFDM polarization code decoding
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Blind recognition of polar code parameters based on log-likelihood ratio
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作者 ZHONG Zhaogen XIE Cunxiang JIN Kun 《Journal of Systems Engineering and Electronics》 2025年第3期642-658,共17页
The syndrome a posteriori probability of the log-likelihood ratio of intercepted codewords is used to develop an algorithm that recognizes the polar code length and generator matrix of the underlying polar code.Based ... The syndrome a posteriori probability of the log-likelihood ratio of intercepted codewords is used to develop an algorithm that recognizes the polar code length and generator matrix of the underlying polar code.Based on the encoding structure,three theorems are proved,two related to the relationship between the length and rate of the polar code,and one related to the relationship between frozen-bit positions,information-bit positions,and codewords.With these three theorems,polar codes can be quickly reconstruced.In addition,to detect the dual vectors of codewords,the statistical characteristics of the log-likelihood ratio are analyzed,and then the information-and frozen-bit positions are distinguished based on the minimumerror decision criterion.The bit rate is obtained.The correctness of the theorems and effectiveness of the proposed algorithm are validated through simulations.The proposed algorithm exhibits robustness to noise and a reasonable computational complexity. 展开更多
关键词 code length frozen-bit position information-bit position log-likelihood ratio polar code
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Shift in Translation:A Case Study of Translating NFPA 1 Fire Code into Chinese
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作者 Fang Chen Xinlu Xing Huili Wang 《Journal of Contemporary Educational Research》 2025年第2期1-15,共15页
National Fire codes,mandated by government authorities to tackle technical challenges in fire prevention and control,establish fundamental standards for construction practices.International collaboration in fire prote... National Fire codes,mandated by government authorities to tackle technical challenges in fire prevention and control,establish fundamental standards for construction practices.International collaboration in fire protection technologies has opened avenues for China to access a wealth of documents and codes,which are crucial in crafting regulations and developing a robust,scientific framework for fire code formulation.However,the translation of these codes into Chinese has been inadequate,thereby diminishing the benefits of technological exchange and collaborative learning.This underscores the necessity for comprehensive research into code translation,striving for higher-quality translations guided by established translation theories.In this study,we translated the initial segment of the NFPA 1 Fire Code into Chinese and examined both the source text and target text through the lens of Translation Shift Theory,a concept introduced by Catford.The conclusion culminated in identifying four key shifts across various linguistic levels:lexis,sentences,and groups,to ensure an accurate and precise translation of fire codes.This study offers a through and lucid explanation of how the translator integrates Catford’s theories to solve technical challenges in NFPA 1 Fire Code translation,and establish essential standards for construction translation practices. 展开更多
关键词 Fire code code document JC Catford Translation shift theory
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Lightweight Deep Learning Model and Novel Dataset for Restoring Damaged Barcodes and QR Codes in Logistics Applications
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作者 Tarek Muallim Haluk Kucuk +1 位作者 Muhammet Bareket Metin Kahraman 《Computer Modeling in Engineering & Sciences》 2025年第6期3557-3581,共25页
This study introduces a lightweight deep learning model and a novel synthetic dataset designed to restore damaged one-dimensional(1D)barcodes and Quick Response(QR)codes,addressing critical challenges in logistics ope... This study introduces a lightweight deep learning model and a novel synthetic dataset designed to restore damaged one-dimensional(1D)barcodes and Quick Response(QR)codes,addressing critical challenges in logistics operations.The proposed solution leverages an efficient Pix2Pix-based framework,a type of conditional Generative Adversarial Network(GAN)optimized for image-to-image translation tasks,enabling the recovery of degraded barcodes and QR codes with minimal computational overhead.A core contribution of this work is the development of a synthetic dataset that simulates realistic damage scenarios frequently encountered in logistics environments,such as low contrast,misalignment,physical wear,and environmental interference.By training on this diverse and realistic dataset,the model demonstrates exceptional performance in restoring readability and decoding accuracy.The lightweight architecture,featuring a U-Net-based encoder-decoder with separable convolutions,ensures computational efficiency,making the approach suitable for real-time deployment on embedded and resource-constrained devices commonly used in logistics systems.Experimental results reveal significant improvements:QR code decoding ratios increased from 14%to 99%on training data and from 15%to 68%on validation data,while 1D barcode decoding ratios improved from 7%to 73%on training data and from 9%to 44%on validation data.By providing a robust,resource-efficient solution for restoring damaged barcodes and QR codes,this study offers practical advancements for enhancing the reliability of automated scanning systems in logistics operations,particularly under challenging conditions. 展开更多
关键词 BARcode quick response code RESTORATION applied deep learning
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Global receptive field transformer decoder method on quantum surface code data and syndrome error correction
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作者 Ao-Qing Li Ce-Wen Tian +2 位作者 Xiao-Xuan Xu Hong-Yang Ma Jun-Qing Liang 《Chinese Physics B》 2025年第3期267-276,共10页
Quantum computing has the potential to solve complex problems that are inefficiently handled by classical computation.However,the high sensitivity of qubits to environmental interference and the high error rates in cu... Quantum computing has the potential to solve complex problems that are inefficiently handled by classical computation.However,the high sensitivity of qubits to environmental interference and the high error rates in current quantum devices exceed the error correction thresholds required for effective algorithm execution.Therefore,quantum error correction technology is crucial to achieving reliable quantum computing.In this work,we study a topological surface code with a two-dimensional lattice structure that protects quantum information by introducing redundancy across multiple qubits and using syndrome qubits to detect and correct errors.However,errors can occur not only in data qubits but also in syndrome qubits,and different types of errors may generate the same syndromes,complicating the decoding task and creating a need for more efficient decoding methods.To address this challenge,we used a transformer decoder based on an attention mechanism.By mapping the surface code lattice,the decoder performs a self-attention process on all input syndromes,thereby obtaining a global receptive field.The performance of the decoder was evaluated under a phenomenological error model.Numerical results demonstrate that the decoder achieved a decoding accuracy of 93.8%.Additionally,we obtained decoding thresholds of 5%and 6.05%at maximum code distances of 7 and 9,respectively.These results indicate that the decoder used demonstrates a certain capability in correcting noise errors in surface codes. 展开更多
关键词 quantum error correction surface code transformer decoder
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Low-Complexity Codebook Design for SCMA-Assisted Indoor Visible Light Communication Systems
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作者 Wang Yuhao Xu Chuan +3 位作者 Yu Lisu Lyu Xinxin Chen Junyuan Wang Zhenghai 《China Communications》 2025年第6期180-192,共13页
Sparse code multiple access(SCMA)is a non-orthogonal multiple access(NOMA)scheme based on joint modulation and spread spectrum coding.It is ideal for future communication networks with a massive number of nodes due to... Sparse code multiple access(SCMA)is a non-orthogonal multiple access(NOMA)scheme based on joint modulation and spread spectrum coding.It is ideal for future communication networks with a massive number of nodes due to its ability to handle user overload.Introducing SCMA into visible light communication(VLC)systems can improve the data transmission capability of the system.However,designing a suitable codebook becomes a challenging problem when addressing the demands of massive connectivity scenarios.Therefore,this paper proposes a low-complexity design method for high-overload codebooks based on the minimum bit error rate(BER)criterion.Firstly,this paper constructs a new codebook with parameters based on the symmetric mother codebook structure by allocating the codeword power so that the power of each user codebook is unbalanced;then,the BER performance in the visible light communication system is optimized to obtain specific parameters;finally,the successive interference cancellation(SIC)detection algorithm is used at the receiver side.Simulation results show that the method proposed in this paper can converge quickly by utilizing a relatively small number of detection iterations.This can simultaneously reduce the complexity of design and detection,outperforming existing design methods for massive SCMA codebooks. 展开更多
关键词 high overload low-complexity codebook design sparse code multiple access(SCMA) successive interference cancellation(SIC) visible light communication(VLC)
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Correction:Deep Learning-Enhanced Brain Tumor Prediction via Entropy-Coded BPSO in CIELAB Color Space
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作者 Mudassir Khalil Muhammad Imran Sharif +3 位作者 Ahmed Naeem Muhammad Umar Chaudhry Hafiz Tayyab Rauf Adham E.Ragab 《Computers, Materials & Continua》 SCIE EI 2025年第1期1461-1461,共1页
In the article“Deep Learning-Enhanced Brain Tumor Prediction via Entropy-Coded BPSO in CIELAB Color Space”by Mudassir Khalil,Muhammad Imran Sharif,Ahmed Naeem,Muhammad Umar Chaudhry,Hafiz Tayyab Rauf,Adham E.Ragab C... In the article“Deep Learning-Enhanced Brain Tumor Prediction via Entropy-Coded BPSO in CIELAB Color Space”by Mudassir Khalil,Muhammad Imran Sharif,Ahmed Naeem,Muhammad Umar Chaudhry,Hafiz Tayyab Rauf,Adham E.Ragab Computers,Materials&Continua,2023,Vol.77,No.2,pp.2031–2047.DOI:10.32604/cmc.2023.043687,URL:https://www.techscience.com/cmc/v77n2/54831,there was an error regarding the affiliation for the author Hafiz Tayyab Rauf.Instead of“Centre for Smart Systems,AI and Cybersecurity,Staffordshire University,Stoke-on-Trent,ST42DE,UK”,the affiliation should be“Independent Researcher,Bradford,BD80HS,UK”. 展开更多
关键词 Deep code CIELAB
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Pliable Fraction Repetition Codes for Access-balancing in Distributed Storage
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作者 LI Yueting 《数学进展》 北大核心 2025年第1期73-84,共12页
Fraction repetition(FR)codes are integral in distributed storage systems(DSS)with exact repair-by-transfer,while pliable fraction repetition codes are vital for DSSs in which both the per-node storage and repetition d... Fraction repetition(FR)codes are integral in distributed storage systems(DSS)with exact repair-by-transfer,while pliable fraction repetition codes are vital for DSSs in which both the per-node storage and repetition degree can easily be adjusted simultaneously.This paper introduces a new type of pliable FR codes,called absolute balanced pliable FR(ABPFR)codes,in which the access balancing in DSS is considered.Additionally,the equivalence between pliable FR codes and resolvable transversal packings in combinatorial design theory is presented.Then constructions of pliable FR codes and ABPFR codes based on resolvable transversal packings are presented. 展开更多
关键词 distributed storage system pliable fraction repetition code access balancing resolvable transversal packing
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Incorporating red blanket protocol within code crimson:Streamlining definitive trauma care amid the chaos
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作者 Sohil Pothiawala Savitha Bhagvan Andrew MacCormick 《World Journal of Critical Care Medicine》 2025年第1期14-19,共6页
The care of a patient involved in major trauma with exsanguinating haemorrhage is time-critical to achieve definitive haemorrhage control,and it requires coordinated multidisciplinary care.During initial resuscitation... The care of a patient involved in major trauma with exsanguinating haemorrhage is time-critical to achieve definitive haemorrhage control,and it requires coordinated multidisciplinary care.During initial resuscitation of a patient in the emergency department(ED),Code Crimson activation facilitates rapid decisionmaking by multi-disciplinary specialists for definitive haemorrhage control in operating theatre(OT)and/or interventional radiology(IR)suite.Once this decision has been made,there may still be various factors that lead to delay in transporting the patient from ED to OT/IR.Red Blanket protocol identifies and addresses these factors and processes which cause delay,and aims to facilitate rapid and safe transport of the haemodynamically unstable patient from ED to OT,while minimizing delay in resuscitation during the transfer.The two processes,Code Crimson and Red Blanket,complement each other.It would be ideal to merge the two processes into a single protocol rather than having two separate workflows.Introducing these quality improvement strategies and coor-dinated processes within the trauma framework of the hospitals/healthcare systems will help in further improving the multi-disciplinary care for the complex trauma patients requiring rapid and definitive haemorrhage control. 展开更多
关键词 Red blanket protocol code crimson HAEMORRHAGE Trauma
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基于CODESYS的多轴激光雕刻机运动控制系统设计
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作者 潘健 陈为 马骏明 《电子设计工程》 2025年第18期85-90,共6页
针对目前激光雕刻机运动控制系统智能化程度差且二次开发困难的问题,设计了一种基于CODESYS的多轴激光雕刻机运动控制系统。该控制系统采用工业计算机作为硬件控制核心,控制内核使用CODESYS软件开发设计,以此提高控制系统智能化程度。... 针对目前激光雕刻机运动控制系统智能化程度差且二次开发困难的问题,设计了一种基于CODESYS的多轴激光雕刻机运动控制系统。该控制系统采用工业计算机作为硬件控制核心,控制内核使用CODESYS软件开发设计,以此提高控制系统智能化程度。通过引入分段三次埃尔米特插值与三次样条插值构建PVT插补算法,优化加工路径,集成CODESYS运控库,实现G代码文件的读取与解析。同时利用CODESYS的可视化模块,设计人机交互界面,实现对系统的精准控制。经雕刻实验验证,该运动控制系统可精确地跟踪加工轨迹,且相比于传统控制系统,有效提高了系统的智能化程度和可移植性。 展开更多
关键词 激光雕刻机 开放式控制系统 codeSYS G代码 PVT插补算法
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一套实用的企业应用分析框架CODE
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作者 姚富士 《信息技术与标准化》 2025年第1期53-57,共5页
随着企业信息化的深入,众多应用不再是“孤岛”,而是形成体系,应用间集成度越来越高,与业务的融合不断加深。在这种大趋势下,企业信息化在具体应用落地时要充分考虑其在企业体系中的定位,基于业务和技术环境找准发力点,才能最大化应用... 随着企业信息化的深入,众多应用不再是“孤岛”,而是形成体系,应用间集成度越来越高,与业务的融合不断加深。在这种大趋势下,企业信息化在具体应用落地时要充分考虑其在企业体系中的定位,基于业务和技术环境找准发力点,才能最大化应用的价值。提出一套用于企业应用分析框架CODE,该分析框架由目标、业务上下文、系统上下文、领域、数据、分布、发展、接口、交互等要素构成,并充分考虑了企业环境的复杂性。经验证,该应用框架能够较好地完成应用分析,助力企业更好地进行应用建设。 展开更多
关键词 企业信息化 复杂性 分析框架 code
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Quick Response Code在手术室新护士及实习生临床培训考核中的应用
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作者 叶文婕 金鑫 《中国药物经济学》 2025年第9期125-128,共4页
目的探讨Quick Response Code在手术室新护士及实习生临床培训考核中的应用效果。方法选取2023年12月至2024年11月九江市第一人民医院手术室的新护士及实习生共100名,按随机数字表法分为观察组和对照组,每组50名。对照组采用常规培训与... 目的探讨Quick Response Code在手术室新护士及实习生临床培训考核中的应用效果。方法选取2023年12月至2024年11月九江市第一人民医院手术室的新护士及实习生共100名,按随机数字表法分为观察组和对照组,每组50名。对照组采用常规培训与管理,观察组在对照组基础上增加Quick Response Code培训,比较两组的培训效果。结果观察组理论考核评分和操作考核评分分别为(92.37±4.69)分和(91.16±4.31)分,均高于对照组的(85.12±3.86)分和(86.43±3.85)分(P<0.05)。观察组培训总满意度为96.00%,高于对照组的82.00%(P<0.05)。观察组仪器设备损耗率和不良事件发生率分别为0.00%和2.00%,均低于对照组的8.00%和14.00%(P<0.05)。观察组各项核心胜任力评分及总分均高于对照组(P<0.05)。结论Quick Response Code在手术室新护士及实习生临床培训考核中的应用效果显著,可提高新护士及实习生的考核成绩与满意度,降低仪器设备损耗率及不良事件发生率,同时可提升核心胜任力。 展开更多
关键词 新护士 实习生 手术室 Quick Response code 培训考核
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Neural Codes Constructs Based on Combinatorial Design
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作者 Jin Huang 《Applied Mathematics》 2025年第1期42-60,共19页
Neuroscience (also known as neurobiology) is a science that studies the structure, function, development, pharmacology and pathology of the nervous system. In recent years, C. Cotardo has introduced coding theory into... Neuroscience (also known as neurobiology) is a science that studies the structure, function, development, pharmacology and pathology of the nervous system. In recent years, C. Cotardo has introduced coding theory into neuroscience, proposing the concept of combinatorial neural codes. And it was further studied in depth using algebraic methods by C. Curto. In this paper, we construct a class of combinatorial neural codes with special properties based on classical combinatorial structures such as orthogonal Latin rectangle, disjoint Steiner systems, groupable designs and transversal designs. These neural codes have significant weight distribution properties and large minimum distances, and are thus valuable for potential applications in information representation and neuroscience. This study provides new ideas for the construction method and property analysis of combinatorial neural codes, and enriches the study of algebraic coding theory. 展开更多
关键词 Combinatorial Neural codes Orthogonal Latin Rectangle Steiner System Group Divisible Design Transversal Design
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Small Glasses,Big Industry:The Wealth Code of Danyang
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作者 WANG RUYING 《China Today》 2025年第7期60-61,共2页
In recent years,Danyang in Jiangsu Province-one of China’s key eyewear manufacturing and distribution centers-has leveraged its“small glasses”to power a“big industry.”
关键词 small glasses eyewear manufacturing wealth code big industry Jiangsu province Danyang distribution centers
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Reliability Performance Estimation and Its Applications of Rate-Compatible Polar Codes for B5G-IoT
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作者 Liang Hao Liang Xiaohu +2 位作者 Ye Ganhua Lu Ruimin Lu Xinjin 《China Communications》 2025年第7期124-137,共14页
The beyond fifth-generation Internet of Things requires more capable channel coding schemes to achieve high-reliability,low-complexity and lowlatency communications.The theoretical analysis of error-correction perform... The beyond fifth-generation Internet of Things requires more capable channel coding schemes to achieve high-reliability,low-complexity and lowlatency communications.The theoretical analysis of error-correction performance of channel coding functions as a significant way of optimizing the transmission reliability and efficiency.In this paper,the efficient estimation methods of the block error rate(BLER)performance for rate-compatible polar codes(RCPC)are proposed under several scenarios.Firstly,the BLER performance of RCPC is generally evaluated in the additive white Gaussian noise channels.That is further extended into the Rayleigh fading channel case using an equivalent estimation method.Moreover,with respect to the powerful decoder such as successive cancellation list decoding,the performance estimation is derived analytically based on the polar weight spectrum and BLER upper bounds.Theoretical evaluation and numerical simulation results show that the estimated performance can fit well the practical simulated results of RCPC under the objective conditions,verifying the validity of our proposed performance estimation methods.Furthermore,the application designs of the reliability estimation of RCPC are explored,particularly in the advantages of the signal-to-noise(SNR)estimation and throughput efficiency optimization of polar coded hybrid automatic repeat request. 展开更多
关键词 Internet of Things polar codes ratecompatible reliability estimation SNR estimation throughput optimization
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OptoGPT code, model, and datasets made public
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《Opto-Electronic Advances》 2025年第6期1-1,共1页
The article entitled with OptoGPT:A foundation model for inverse design in optical multilayer thin film structures1,with doi:10.29026/oea.2024.240062,published in No.7,Vol.7,2024 of Opto-Electronic Advances,has attrac... The article entitled with OptoGPT:A foundation model for inverse design in optical multilayer thin film structures1,with doi:10.29026/oea.2024.240062,published in No.7,Vol.7,2024 of Opto-Electronic Advances,has attracted attention from many researchers.As a result,the authors received many requests on the possibility sharing their code,model,and dataset in the mentioned work.To facilitate the needs of the research community,the authors decide to make the code,model,and datasets of OptoGPT public,enabling broader utilization and further development of enhanced models. 展开更多
关键词 foundation model inverse design optogpt MODEL optical multilayer thin film structures code
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Minimal Binary Codes over a Ring
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作者 PAN Yang GUO Yuxin YE Chang 《湖州师范学院学报》 2025年第2期1-7,共7页
We construct an infinite family of minimal linear codes over the ring F_(2)+u F_(2).These codes are defined through trace functions and Boolean functions.Their Lee weight distribution is completely computed by Walsh t... We construct an infinite family of minimal linear codes over the ring F_(2)+u F_(2).These codes are defined through trace functions and Boolean functions.Their Lee weight distribution is completely computed by Walsh transformation.By Gray mapping,we obtain a family of minimal binary linear codes from a generic construction,which have prominent applications in secret sharing and secure two-party computation. 展开更多
关键词 Boolean function trace function minimal code secret sharing
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