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On Deep Holes of Projective Reed-Solomon Codes over Finite Fields with Even Characteristic
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作者 XU Xiaofan 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2023年第1期15-19,共5页
Projective Reed-Solomon code is an important class of maximal distance separable codes in reliable communication and deep holes play important roles in its decoding.In this paper,we obtain two classes of deep holes of... Projective Reed-Solomon code is an important class of maximal distance separable codes in reliable communication and deep holes play important roles in its decoding.In this paper,we obtain two classes of deep holes of projective Reed-Solomon codes over finite fields with even characteristic.That is,let F_(q) be finite field with even characteristic,k∈{2,q-2},and let u(x)be the Lagrange interpolation polynomial of the first q components of the received vector u∈F_(q)+1 q Suppose that the(q+1)-th component of u is 0,and u(x)=λx^(k)+f_(≤k-2)(x),λx^(q-2)+f_(≤k-2)(x),where λ∈F^(*)_(q) and f_(≤k-2)(x)is a polynomial over F_(q) with degree no more than k-2.Then the received vector u is a deep hole of projective Reed-Solomon codes PRS(F_(q),k).In fact,our result partially solved an open problem on deep holes of projective Reed-Solomon codes proposed by Wan in 2020. 展开更多
关键词 finite field even characteristic projective reed-solomon code deep hole
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FAST ALGORITHM FOR REED-SOLOMON CODE AND THE HARDWARE IMPLEMENTATION
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作者 张毓忠 滕建辅 周长华 《Transactions of Tianjin University》 EI CAS 1995年第1期83+80-83,共5页
This paper described a signal processor for the Reed-Solomon (R-S) code using micro-programming. For the purpose of fast encoding and decoding,a formula for detecting two errors is derived, and the Qian search method... This paper described a signal processor for the Reed-Solomon (R-S) code using micro-programming. For the purpose of fast encoding and decoding,a formula for detecting two errors is derived, and the Qian search method for the decoding process is improved. The number of searches is significantly reduced from 256 to 4. At the same time, the circuit is simplified and the speed is increased. For the convenience of programming, a micro-programming compiling package is developed. The package can be used for programming of different formats of R-S code signal processors of DAB, MD and DCC. The software and the hardware can be used for error correcting, error detecting and error compensation of different formats of R-S code. 展开更多
关键词 R-S code ENCODING DECODING Qian search
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On Reed-Solomon Codes 被引量:3
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作者 Qunying LIAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第1期89-98,共10页
The complexity of decoding the standard Reed-Solomon code is a well-known open problem in coding theory.The main problem is to compute the error distance of a received word.Using the Weil bound for character sum estim... The complexity of decoding the standard Reed-Solomon code is a well-known open problem in coding theory.The main problem is to compute the error distance of a received word.Using the Weil bound for character sum estimate,Li and Wan showed that the error distance can be determined when the degree of the received word as a polynomial is small.In the first part,the result of Li and Wan is improved.On the other hand,one of the important parameters of an error-correcting code is the dimension.In most cases,one can only get bounds for the dimension.In the second part,a formula for the dimension of the generalized trace Reed-Solomon codes in some cases is obtained. 展开更多
关键词 reed-solomon code Weil bound Error distance Rational function Trace reed-solomon code Trace map
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ASME Code Case 3029高温许用压应力计算方法的介绍及工程应用
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作者 马忠明 《化工设备与管道》 北大核心 2026年第1期24-30,共7页
介绍了高温蠕变工况下运行的压力容器可能出现的失效模式,结合工程设计现状,指出了我国当前压力容器标准体系在确定高温蠕变工况许用压应力时存在的技术瓶颈,在此基础之上引出ASME Code Case 3029,对其适用范围、发展历程、产生背景及... 介绍了高温蠕变工况下运行的压力容器可能出现的失效模式,结合工程设计现状,指出了我国当前压力容器标准体系在确定高温蠕变工况许用压应力时存在的技术瓶颈,在此基础之上引出ASME Code Case 3029,对其适用范围、发展历程、产生背景及工程意义进行了简单的介绍,以某工程设计项目中的实际结构为例,介绍了该方法的使用过程及注意事项,并结合压力容器工程设计领域的实际需求,对我国标准体系下一步的制定或修订方向提出了展望。 展开更多
关键词 code Case 3029 蠕变屈曲 失稳 压力容器 许用应力
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ChatGPT+VS Code在高中地理地图开发中的应用——以“国内人口迁移”为例
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作者 王凌宇 白絮飞 《中国信息技术教育》 2026年第1期81-84,共4页
人工智能技术在中学地理教学中的应用是大势所趋。当前的研究主要聚焦于其作为学生的“助学者”和教师的“助教者”两大角色。然而,现有应用方式存在一定局限性:作为“助学者”,若学生使用不当可能引发依赖性,削弱其独立思考能力;作为... 人工智能技术在中学地理教学中的应用是大势所趋。当前的研究主要聚焦于其作为学生的“助学者”和教师的“助教者”两大角色。然而,现有应用方式存在一定局限性:作为“助学者”,若学生使用不当可能引发依赖性,削弱其独立思考能力;作为“助教者”,若教师生成教学设计的指令过于宽泛,结果易出现“张冠李戴”或“似是而非”等问题,需教师二次加工。相反,若教师能针对教学设计中的特定模块提供详细准确的指令,人工智能技术输出的结果将更具准确性和实用性,展现出更高研究价值。因此,本文从人工智能技术“助教者”身份出发,摒弃传统完整的教学过程设计,聚焦备课中的“地图开发”模块,采用由人工智能技术生成地图代码并通过第三方软件运行的方式,实现快速辅助教师生成所需地图的目标,提升备课效率与教学质量。 展开更多
关键词 ChatGPT VS code 人工智能技术 中学地理 地图开发
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VS Code软件技术在红绿彩文化网站构建中的应用研究
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作者 李萍 杨冬梅 《办公自动化》 2026年第6期1-3,共3页
红绿彩文化作为中华民族传统文化的重要组成部分,有着悠久的历史和独特的艺术价值。其兴起打破以往以单色釉为主导的高温烧瓷的局面,在历史的长河中不断地推陈出新。然而,在现代社会中,随着文化的多元化和工业化的冲击,红绿彩文化发展... 红绿彩文化作为中华民族传统文化的重要组成部分,有着悠久的历史和独特的艺术价值。其兴起打破以往以单色釉为主导的高温烧瓷的局面,在历史的长河中不断地推陈出新。然而,在现代社会中,随着文化的多元化和工业化的冲击,红绿彩文化发展面临着诸多挑战。在此背景下,借助VS Code以及JavaScript相关技术,对红绿彩文化网站进行深化设计与研究,为构建交互型红绿彩文化网站提供借鉴,同时也将为传播红绿彩文化提供具体可行的方法。 展开更多
关键词 红绿彩文化 JAVASCRIPT VS code 网站
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Rateless Polar Codes with Unequal Error Protection Property
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作者 Cui Chen Xiang Wei +1 位作者 Ma Siwei Guo Qing 《China Communications》 2026年第1期10-23,共14页
Mobile communications are reaching out to every aspect of our daily life,necessitating highefficiency data transmission and support for diverse data types and communication scenarios.Polar codes have emerged as a prom... Mobile communications are reaching out to every aspect of our daily life,necessitating highefficiency data transmission and support for diverse data types and communication scenarios.Polar codes have emerged as a promising solution due to their outstanding error-correction performance and low complexity.Unequal error protection(UEP)involves nonuniform error safeguarding for distinct data segments,achieving a fine balance between error resilience and resource allocation,which ultimately enhancing system performance and efficiency.In this paper,we propose a novel class of UEP rateless polar codes.The codes are designed based on matrix extension of polar codes,and elegant mapping and duplication operations are designed to achieve UEP property while preserving the overall performance of conventional polar codes.Superior UEP performance is attained without significant modifications to conventional polar codes,making it straightforward for compatibility with existing polar codes.A theoretical analysis is conducted on the block error rate and throughput efficiency performance.To the best of our knowledge,this work provides the first theoretical performance analysis of UEP rateless polar codes.Simulation results show that the proposed codes significantly outperform existing polar coding schemes in both block error rate and throughput efficiency. 展开更多
关键词 matrix extension polar codes rateless coding unequal error protection
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Efficient Polar Codes with Low Complexity for Correcting Insertions/Deletions in DPPM
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作者 Li Leran Liu Yuan +2 位作者 Yuan Ye Xiahou Wenqian Chen Maonan 《China Communications》 2026年第1期24-33,共10页
Differential pulse-position modulation(DP PM)can achieve a good compromise between power and bandwidth requirements.However,the output sequence has undetectable insertions and deletions.This paper proposes a successiv... Differential pulse-position modulation(DP PM)can achieve a good compromise between power and bandwidth requirements.However,the output sequence has undetectable insertions and deletions.This paper proposes a successive cancellation(SC)decoding scheme based on the weighted levenshtein distance(WLD)of polar codes for correcting insertions/deletions in DPPM systems.In this method,the WLD is used to calculate the transfer probabilities recursively to obtain likelihood ratios,and the low-complexity SC decoding method is built according to the error characteristics to match the DPPM system.Additionally,the proposed SC decoding scheme is extended to list decoding,which can further improve error correction performance.Simulation results show that the proposed scheme can effectively correct insertions/deletions in the DPPM system,which enhances its reliability and performance. 展开更多
关键词 DPPM insertions/deletions polar codes SC decoding
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Integration of Large Language Models(LLMs)and Static Analysis for Improving the Efficacy of Security Vulnerability Detection in Source Code
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作者 JoséArmando Santas Ciavatta Juan Ramón Bermejo Higuera +3 位作者 Javier Bermejo Higuera Juan Antonio Sicilia Montalvo Tomás Sureda Riera Jesús Pérez Melero 《Computers, Materials & Continua》 2026年第3期351-390,共40页
As artificial Intelligence(AI)continues to expand exponentially,particularly with the emergence of generative pre-trained transformers(GPT)based on a transformer’s architecture,which has revolutionized data processin... As artificial Intelligence(AI)continues to expand exponentially,particularly with the emergence of generative pre-trained transformers(GPT)based on a transformer’s architecture,which has revolutionized data processing and enabled significant improvements in various applications.This document seeks to investigate the security vulnerabilities detection in the source code using a range of large language models(LLM).Our primary objective is to evaluate the effectiveness of Static Application Security Testing(SAST)by applying various techniques such as prompt persona,structure outputs and zero-shot.To the selection of the LLMs(CodeLlama 7B,DeepSeek coder 7B,Gemini 1.5 Flash,Gemini 2.0 Flash,Mistral 7b Instruct,Phi 38b Mini 128K instruct,Qwen 2.5 coder,StartCoder 27B)with comparison and combination with Find Security Bugs.The evaluation method will involve using a selected dataset containing vulnerabilities,and the results to provide insights for different scenarios according to the software criticality(Business critical,non-critical,minimum effort,best effort)In detail,the main objectives of this study are to investigate if large language models outperform or exceed the capabilities of traditional static analysis tools,if the combining LLMs with Static Application Security Testing(SAST)tools lead to an improvement and the possibility that local machine learning models on a normal computer produce reliable results.Summarizing the most important conclusions of the research,it can be said that while it is true that the results have improved depending on the size of the LLM for business-critical software,the best results have been obtained by SAST analysis.This differs in“NonCritical,”“Best Effort,”and“Minimum Effort”scenarios,where the combination of LLM(Gemini)+SAST has obtained better results. 展开更多
关键词 AI+SAST secure code LLM benchmarking LLM vulnerability detection
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Gradient-Guided Assembly Instruction Relocation for Adversarial Attacks Against Binary Code Similarity Detection
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作者 Ran Wei Hui Shu 《Computers, Materials & Continua》 2026年第1期1372-1394,共23页
Transformer-based models have significantly advanced binary code similarity detection(BCSD)by leveraging their semantic encoding capabilities for efficient function matching across diverse compilation settings.Althoug... Transformer-based models have significantly advanced binary code similarity detection(BCSD)by leveraging their semantic encoding capabilities for efficient function matching across diverse compilation settings.Although adversarial examples can strategically undermine the accuracy of BCSD models and protect critical code,existing techniques predominantly depend on inserting artificial instructions,which incur high computational costs and offer limited diversity of perturbations.To address these limitations,we propose AIMA,a novel gradient-guided assembly instruction relocation method.Our method decouples the detection model into tokenization,embedding,and encoding layers to enable efficient gradient computation.Since token IDs of instructions are discrete and nondifferentiable,we compute gradients in the continuous embedding space to evaluate the influence of each token.The most critical tokens are identified by calculating the L2 norm of their embedding gradients.We then establish a mapping between instructions and their corresponding tokens to aggregate token-level importance into instructionlevel significance.To maximize adversarial impact,a sliding window algorithm selects the most influential contiguous segments for relocation,ensuring optimal perturbation with minimal length.This approach efficiently locates critical code regions without expensive search operations.The selected segments are relocated outside their original function boundaries via a jump mechanism,which preserves runtime control flow and functionality while introducing“deletion”effects in the static instruction sequence.Extensive experiments show that AIMA reduces similarity scores by up to 35.8%in state-of-the-art BCSD models.When incorporated into training data,it also enhances model robustness,achieving a 5.9%improvement in AUROC. 展开更多
关键词 Assembly instruction relocation adversary attack binary code similarity detection
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Improving MCUCN code to simulate ultracold neutron storage and transportation in superfluid^(4)He
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作者 Xue-Fen Han Fei Shen +6 位作者 Bin Zhou Xiao-Xiao Cai Tian-Cheng Yi Zhi-Liang Hu Song-Lin Wang Tian-Jiao Liang Robert Golub 《Nuclear Science and Techniques》 2026年第3期235-246,共12页
The ultracold neutron(UCN)transport code,MCUCN,designed initially for simulating UCN transportation from a solid deuterium(SD_2)source and neutron electric dipole moment experiments,could not simulate UCN storage and ... The ultracold neutron(UCN)transport code,MCUCN,designed initially for simulating UCN transportation from a solid deuterium(SD_2)source and neutron electric dipole moment experiments,could not simulate UCN storage and transportation in a superfluid^(4)He(SFHe,He-Ⅱ)source accurately.This limitation arose from the absence of an^(4)He upscattering mechanism and the absorption of^(3)He.And the provided source energy distribution in MCUCN is different from that in SFHe source.This study introduced enhancements to MCUCN to address these constraints,explicitly incorporating the^(4)He upscattering effect,the absorption of^(3)He,the loss caused by impurities on converter wall,UCN source energy distribution in SFHe,and the transmission through negative optical potential.Additionally,a Python-based visualization code for intermediate states and results was developed.To validate these enhancements,we systematically compared the simulation results of the Lujan Center Mark3 UCN system by MCUCN and the improved MCUCN code(iMCUCN)with UCNtransport simulations.Additionally,we compared the results of the SUN1 system simulated by MCUCN and iMCUCN with measurement results.The study demonstrates that iMCUCN effectively simulates the storage and transportation of ultracold neutrons in He-Ⅱ. 展开更多
关键词 Ultracold neutron Storage TRANSPORTATION Improved MCUCN code Upscattering effect Absorption by^(3)He
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TLS Blind Recognition Algorithm of LDPC Codes
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作者 Ning Xiaoyan Sun Jingjing +1 位作者 Wang Zhenduo Sun Zhiguo 《China Communications》 2026年第2期112-121,共10页
Blind recognition of low-density paritycheck(LDPC)codes has gradually attracted more attention with the development of military and civil communications.However,in the case of the paritycheck matrices with relatively ... Blind recognition of low-density paritycheck(LDPC)codes has gradually attracted more attention with the development of military and civil communications.However,in the case of the paritycheck matrices with relatively high row weights,the existing blind recognition algorithms based on a candidate set generally perform worse.In this paper,we propose a blind recognition method for LDPC codes,called as tangent function assisted least square(TLS)method,which improves recognition performances by constructing a new cost function.To characterize the constraint degree among received vectors and paritycheck vectors,a feature function based on tangent function is constructed in the proposed algorithm.A cost function based on least square method is also established according to the feature function values satisfying the parity-check relationship.Moreover,the minimum average value in TLS is obtained on the candidate set.Numerical analysis and simulation results show that recognition performances of TLS algorithm are consistent with theoretical results.Compared with existing algorithms,the proposed method possesses better recognition performances. 展开更多
关键词 blind recognition cost function least square low-density parity-check(LDPC)codes
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Beyond Accuracy:Evaluating and Explaining the Capability Boundaries of Large Language Models in Syntax-Preserving Code Translation
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作者 Yaxin Zhao Qi Han +1 位作者 Hui Shu Yan Guang 《Computers, Materials & Continua》 2026年第2期1371-1394,共24页
LargeLanguageModels(LLMs)are increasingly appliedinthe fieldof code translation.However,existing evaluation methodologies suffer from two major limitations:(1)the high overlap between test data and pretraining corpora... LargeLanguageModels(LLMs)are increasingly appliedinthe fieldof code translation.However,existing evaluation methodologies suffer from two major limitations:(1)the high overlap between test data and pretraining corpora,which introduces significant bias in performance evaluation;and(2)mainstream metrics focus primarily on surface-level accuracy,failing to uncover the underlying factors that constrain model capabilities.To address these issues,this paper presents TCode(Translation-Oriented Code Evaluation benchmark)—a complexity-controllable,contamination-free benchmark dataset for code translation—alongside a dedicated static feature sensitivity evaluation framework.The dataset is carefully designed to control complexity along multiple dimensions—including syntactic nesting and expression intricacy—enabling both broad coverage and fine-grained differentiation of sample difficulty.This design supports precise evaluation of model capabilities across a wide spectrum of translation challenges.The proposed evaluation framework introduces a correlation-driven analysis mechanism based on static program features,enabling predictive modeling of translation success from two perspectives:Code Form Complexity(e.g.,code length and character density)and Semantic Modeling Complexity(e.g.,syntactic depth,control-flow nesting,and type system complexity).Empirical evaluations across representative LLMs—including Qwen2.5-72B and Llama3.3-70B—demonstrate that even state-of-the-art models achieve over 80% compilation success on simple samples,but their accuracy drops sharply below 40% on complex cases.Further correlation analysis indicates that Semantic Modeling Complexity alone is correlated with up to 60% of the variance in translation success,with static program features exhibiting nonlinear threshold effects that highlight clear capability boundaries.This study departs fromthe traditional accuracy-centric evaluation paradigm and,for the first time,systematically characterizes the capabilities of large languagemodels in translation tasks through the lens of programstatic features.The findings provide actionable insights for model refinement and training strategy development. 展开更多
关键词 Large language models(LLMs) code translation compiler testing program analysis complexity-based evaluation
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Integrating Attention Mechanism with Code Structural Affinity and Execution Context Correlation for Automated Bug Repair
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作者 Jinfeng Ji Geunseok Yang 《Computers, Materials & Continua》 2026年第3期1708-1725,共18页
Automated Program Repair(APR)techniques have shown significant potential in mitigating the cost and complexity associated with debugging by automatically generating corrective patches for software defects.Despite cons... Automated Program Repair(APR)techniques have shown significant potential in mitigating the cost and complexity associated with debugging by automatically generating corrective patches for software defects.Despite considerable progress in APR methodologies,existing approaches frequently lack contextual awareness of runtime behaviors and structural intricacies inherent in buggy source code.In this paper,we propose a novel APR approach that integrates attention mechanisms within an autoencoder-based framework,explicitly utilizing structural code affinity and execution context correlation derived from stack trace analysis.Our approach begins with an innovative preprocessing pipeline,where code segments and stack traces are transformed into tokenized representations.Subsequently,the BM25 ranking algorithm is employed to quantitatively measure structural code affinity and execution context correlation,identifying syntactically and semantically analogous buggy code snippets and relevant runtime error contexts from extensive repositories.These extracted features are then encoded via an attention-enhanced autoencoder model,specifically designed to capture significant patterns and correlations essential for effective patch generation.To assess the efficacy and generalizability of our proposed method,we conducted rigorous experimental comparisons against DeepFix,a state-of-the-art APR system,using a substantial dataset comprising 53,478 studentdeveloped C programs.Experimental outcomes indicate that our model achieves a notable bug repair success rate of approximately 62.36%,representing a statistically significant performance improvement of over 6%compared to the baseline.Furthermore,a thorough K-fold cross-validation reinforced the consistency,robustness,and reliability of our method across diverse subsets of the dataset.Our findings present the critical advantage of integrating attentionbased learning with code structural and execution context features in APR tasks,leading to improved accuracy and practical applicability.Future work aims to extend the model’s applicability across different programming languages,systematically optimize hyperparameters,and explore alternative feature representation methods to further enhance debugging efficiency and effectiveness. 展开更多
关键词 Automated bug repair autoencoder algorithm buggy code analysis stack trace similarity machine learning for debugging
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Cognitive Erasure-Coded Data Update and Repair for Mitigating I/O Overhead
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作者 Bing Wei Ming Zhong +2 位作者 Qian Chen Yi Wu Yubin Li 《Computers, Materials & Continua》 2026年第2期1706-1725,共20页
In erasure-coded storage systems,updating data requires parity maintenance,which often leads to significant I/O amplification due to“write-after-read”operations.Furthermore,scattered parity placement increases disk ... In erasure-coded storage systems,updating data requires parity maintenance,which often leads to significant I/O amplification due to“write-after-read”operations.Furthermore,scattered parity placement increases disk seek overhead during repair,resulting in degraded system performance.To address these challenges,this paper proposes a Cognitive Update and Repair Method(CURM)that leverages machine learning to classify files into writeonly,read-only,and read-write categories,enabling tailored update and repair strategies.For write-only and read-write files,CURM employs a data-differencemechanism combined with fine-grained I/O scheduling to minimize redundant read operations and mitigate I/O amplification.For read-write files,CURM further reserves adjacent disk space near parity blocks,supporting parallel reads and reducing disk seek overhead during repair.We implement CURM in a prototype system,Cognitive Update and Repair File System(CURFS),and conduct extensive experiments using realworld Network File System(NFS)and Microsoft Research(MSR)workloads on a 25-node cluster.Experimental results demonstrate that CURMimproves data update throughput by up to 82.52%,reduces recovery time by up to 47.47%,and decreases long-term storage overhead by more than 15% compared to state-of-the-art methods including Full Logging(FL),ParityLogging(PL),ParityLoggingwithReservedspace(PLR),andPARIX.These results validate the effectiveness of CURM in enhancing both update and repair performance,providing a scalable and efficient solution for large-scale erasure-coded storage systems. 展开更多
关键词 Erasure coding machine learning cognitive update and repair I/O amplification mitigation seekefficient recovery
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On error distance of Reed-Solomon codes 被引量:9
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作者 LI YuJuan WAN DaQing 《Science China Mathematics》 SCIE 2008年第11期1982-1988,共7页
The complexity of decoding the standard Reed-Solomon code is a well known open prob-lem in coding theory. The main problem is to compute the error distance of a received word. Using the Weil bound for character sum es... The complexity of decoding the standard Reed-Solomon code is a well known open prob-lem in coding theory. The main problem is to compute the error distance of a received word. Using the Weil bound for character sum estimate, we show that the error distance can be determined precisely when the degree of the received word is small. As an application of our method, we give a significant improvement of the recent bound of Cheng-Murray on non-existence of deep holes (words with maximal error distance). 展开更多
关键词 reed-solomon code error distance deep hole character sum 30P12 32C12
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On deep holes of standard Reed-Solomon codes 被引量:10
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作者 WU RongJun HONG ShaoFang 《Science China Mathematics》 SCIE 2012年第12期2447-2455,共9页
Determining deep holes is an important open problem in decoding Reed-Solomon codes. It is well known that the received word is trivially a deep hole if the degree of its Lagrange interpolation polynomial equals the di... Determining deep holes is an important open problem in decoding Reed-Solomon codes. It is well known that the received word is trivially a deep hole if the degree of its Lagrange interpolation polynomial equals the dimension of the Reed-Solomon code. For the standard Reed-Solomon codes [p-1, k]p with p a prime, Cheng and Murray conjectured in 2007 that there is no other deep holes except the trivial ones. In this paper, we show that this conjecture is not true. In fact, we find a new class of deep holes for standard Reed-Solomon codes [q-1, k]q with q a power of the prime p. Let q≥4 and 2≤k≤q-2. We show that the received word u is a deep hole if its Lagrange interpolation polynomial is the sum of monomial of degree q-2 and a polynomial of degree at most k-1. So there are at least 2(q-1)qk deep holes if k q-3. 展开更多
关键词 deep hole reed-solomon code cyclic code BCH code DFT IDFT
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A Low Power Error Detection in the Syndrome Calculator Block for Reed-Solomon Codes: RS(204,188) 被引量:1
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作者 Richard Huynh 葛宁 杨华中 《Tsinghua Science and Technology》 SCIE EI CAS 2009年第4期474-477,共4页
Reed-Solomon (RS) codes have been widely adopted in many modern communication systems. This paper describes a new method for error detection in the syndrome calculator block of RS decoders. The main feature of this ... Reed-Solomon (RS) codes have been widely adopted in many modern communication systems. This paper describes a new method for error detection in the syndrome calculator block of RS decoders. The main feature of this method is to prove that it is possible to compute only a few syndrome coeffi- cients -- less than half-- to detect whether the codeword is correct. The theoretical estimate of the prob- ability that the new algorithm failed is shown to depend on the number of syndrome coefficients computed. The algorithm is tested using the RS(204,188) code with the first four coefficients. With a bit error rate of 1 ~ 104, this method reduces the power consumption by 6% compared to the basic RS(204,188) decoder. The error detection algorithm for the syndrome calculator block does not require modification of the basic hardware implementation of the syndrome coefficients computation. The algorithm significantly reduces the computation complexity of the syndrome calculator block, thus lowering the power needed. 展开更多
关键词 reed-solomon codes syndrome calculator block error detection bit error rate
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High Speed Versatile Reed-Solomon Decoder for Correcting Errors and Erasures
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作者 王华 范光荣 +1 位作者 王平勤 匡镜明 《Journal of Beijing Institute of Technology》 EI CAS 2008年第1期81-86,共6页
A new Chien search method for shortened Reed-Solomon (RS) code is proposed, based on this, a versatile RS decoder for correcting both errors and erasures is designed. Compared with the traditional RS decoder, the we... A new Chien search method for shortened Reed-Solomon (RS) code is proposed, based on this, a versatile RS decoder for correcting both errors and erasures is designed. Compared with the traditional RS decoder, the weighted coefficient of the Chien search method is calculated sequentially through the three pipelined stages of the decoder. And therefore, the computation of the errata locator polynomial and errata evaluator polynomial needs to be modified. The versatile RS decoder with minimum distance 21 has been synthesized in the Xilinx Virtex-Ⅱ series field programmable gate array (FPGA) xe2v1000-5 and is used by coneatenated coding system for satellite communication. Results show that the maximum data processing rate can be up to 1.3 Gbit/s. 展开更多
关键词 reed-solomon code Berlekamp-Massey algorithm error correction codes versatile reed-solomon decoder
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New concatenated soft decoding of Reed-Solomon codes with lower complexities
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作者 BIAN Yin-bing FENG Guang-zeng 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2009年第3期4-7,23,共5页
To improve error-correcting performance,an iterative concatenated soft decoding algorithm for Reed-Solomon(RS)codes is presented in this article.This algorithm brings both complexity as well as advantages in performan... To improve error-correcting performance,an iterative concatenated soft decoding algorithm for Reed-Solomon(RS)codes is presented in this article.This algorithm brings both complexity as well as advantages in performance over presently popular sot~decoding algorithms.The proposed algorithm consists of two powerful soft decoding techniques,adaptive belief propagation(ABP)and box and match algorithm(BMA),which are serially concatenated by the accumulated log-likelihood ratio(ALLR).Simulation results show that,compared with ABP and ABP-BMA algorithms,the proposed algorithm can bring more decoding gains and a better tradeoff between the decoding performance and complexity. 展开更多
关键词 reed-solomon codes soft decoding adaptive belief propagation box and match decoding algorithm LLR accumulation
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