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Design of Protograph LDPC-Coded MIMO-VLC Systems with Generalized Spatial Modulation 被引量:4
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作者 Dai Lin Fang Yi +1 位作者 Guan Yongliang Mohsen Guizani 《China Communications》 SCIE CSCD 2024年第3期118-136,共19页
This paper investigates the bit-interleaved coded generalized spatial modulation(BICGSM) with iterative decoding(BICGSM-ID) for multiple-input multiple-output(MIMO) visible light communications(VLC). In the BICGSM-ID ... This paper investigates the bit-interleaved coded generalized spatial modulation(BICGSM) with iterative decoding(BICGSM-ID) for multiple-input multiple-output(MIMO) visible light communications(VLC). In the BICGSM-ID scheme, the information bits conveyed by the signal-domain(SiD) symbols and the spatial-domain(SpD) light emitting diode(LED)-index patterns are coded by a protograph low-density parity-check(P-LDPC) code. Specifically, we propose a signal-domain symbol expanding and re-allocating(SSER) method for constructing a type of novel generalized spatial modulation(GSM) constellations, referred to as SSERGSM constellations, so as to boost the performance of the BICGSM-ID MIMO-VLC systems.Moreover, by applying a modified PEXIT(MPEXIT) algorithm, we further design a family of rate-compatible P-LDPC codes, referred to as enhanced accumulate-repeat-accumulate(EARA) codes,which possess both excellent decoding thresholds and linear-minimum-distance-growth property. Both analysis and simulation results illustrate that the proposed SSERGSM constellations and P-LDPC codes can remarkably improve the convergence and decoding performance of MIMO-VLC systems. Therefore, the proposed P-LDPC-coded SSERGSM-mapped BICGSMID configuration is envisioned as a promising transmission solution to satisfy the high-throughput requirement of MIMO-VLC applications. 展开更多
关键词 bit-interleaved coded modulation generalized spatial modulation multiple-input multipleoutput protograph LDPC codes visible light communication
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SUBSPACE SUBCODES OF GENERALIZED REED-SOLOMON CODES 被引量:1
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作者 崔杰 裴君莹 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第4期503-508,共6页
In this paper, the subspace subcodes of generalized Reed-Solomn codes are codes are introduced and the fomulas to compute the dimensions of these codes are given.
关键词 generalized reed-solomon codes subspacte subcodes of generalized reed-solomon codes
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Index modulation aided generalized space-time block coding:A unified MIMO framework 被引量:1
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作者 Zhiqin Wang Hui Liu +3 位作者 Lixia Xiao Liuke Li Guochao Song Tao Jiang 《Digital Communications and Networks》 CSCD 2024年第5期1459-1470,共12页
In this paper,Index Modulation(IM)aided Generalized Space-Time Block Coding(GSTBC)is proposed,which intrinsically exploits the benefits of IM concept,diversity gain and spatial multiplexing gain.Specifically,the infor... In this paper,Index Modulation(IM)aided Generalized Space-Time Block Coding(GSTBC)is proposed,which intrinsically exploits the benefits of IM concept,diversity gain and spatial multiplexing gain.Specifically,the information bits are partitioned into U groups,with each being modulated by IM symbols(i.e.Spatial Modulation(SM),Quadrature SM(QSM),etc).Next,the structure of GSTBC is invoked for each K IM symbol,and a total ofμ=U/K GSTBC codes are transmitted via T time slots.A Block Expectation Propagation(B-EP)detector is designed for the proposed IM-GSTBC structure.Moreover,the theoretical Average Bit Error Probability(ABEP)is derived for our IM-GSTBC system,which is confirmed by the simulation results and helpful for performance evaluation.Simulation results show that our proposed IM-GSTBC system is capable of striking an efficient trade-off between spatial multiplexing gain,spatial diversity gain as well as implementation cost imposed for both small-scale and large-scale MIMO antenna configurations. 展开更多
关键词 Index modulation(IM) generalized space time block coding(GSTBC) Spatial multiplexing gain Diversity gain Block expectation propagation(B-EP)
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CONTROL STRATEGY FOR ELECTRO-HYDRAULIC POSITION SERVO SYSTEM WITH GENERALIZED PULSE CODE MODULATION 被引量:1
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作者 LIU Rong PAN Huachen CHEN Ying 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第3期50-53,共4页
A hybrid control strategy has been designed and developed for the electro-hydraulic posi-tion servo control system with generalized Pulse code modulation (GPCM), which is suitable for the area where the work conditi... A hybrid control strategy has been designed and developed for the electro-hydraulic posi-tion servo control system with generalized Pulse code modulation (GPCM), which is suitable for the area where the work condition is poor and a large flow rate is required. It is difficult to control the GPCM system because the system is discrete. With consideration of the stability and speediness of the GPCM position servo control system, a control strategy is developed through the theoretical and ex-perimental analyses. The control strategy integrates the merits of Bang-Bang control, PID control and fuzzy control. With this hybrid control strategy, the electro hydraulic control system has good per-formances, and the servo control is carried out with GPCM through on-off valves. 展开更多
关键词 generalized pulse code modulation (GPCM) Position control Electro hydraulic control
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PN code generator based on generalized Bent function for SW/SFH System
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《Wuhan University Journal of Natural Sciences》 CAS 1996年第2期221-224,共4页
Generalized Bent function and generalized Bent function sequences are introduced in this paper.The main performance or these sequences used as SW/SFH(Short Wave/Slow Frequency Hopping) code are studied. And the hardwa... Generalized Bent function and generalized Bent function sequences are introduced in this paper.The main performance or these sequences used as SW/SFH(Short Wave/Slow Frequency Hopping) code are studied. And the hardware circuit and the soflware program flow chart of the SW/SFH PN code generator are also given,which is based on generalized Bent function sequence generator by using a single chip mlcrocomputer. 展开更多
关键词 SW/FH bent function sequence PN code generator single chip microcomputer
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A New Generalized Complex Orthogonal Space-Time Block Codes
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作者 单红梅 胡光锐 《Journal of Shanghai University(English Edition)》 CAS 2005年第3期241-243,共3页
Recent research challenges in the wireless communication include the usage of diversity and efficient coding to improve data transmission quality and spectral efficiency. Space diversity uses multiple transmitting and... Recent research challenges in the wireless communication include the usage of diversity and efficient coding to improve data transmission quality and spectral efficiency. Space diversity uses multiple transmitting and/or receiving antennas to create independent fading channels without penalty in bandwidth efficiency. Space-time block coding is an encoding scheme for communication over Rayleigh fading channels using multiple transmitting antennas. Space-time block codes from complex orthogonal designs exist only for two transmitting antennas. This paper generalizes a new complex orthogonal space-time block code for four transmitting antennas, whose decoding complexity is very low. Simulations show that the generalized complex orthogonal space-time block code has low bit error rate, full rate and possibly large diversity. 展开更多
关键词 space diversity space-time block code multiple antennas generalized complex orthogonal designs.
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Generalized Minimum Rank Distance of Variable-Rate Linear Network Error Correction Codes
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作者 ZHOU Hang 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2021年第1期19-23,共5页
By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correc... By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correction codes. The basic properties of GMRD are investigated. It is proved that GMRD can characterize the error correction/detection capability of variable-rate linear network error correction codes when the source transmits the messages at several different rates. 展开更多
关键词 network error correction code error pattern generalized minimum distance variable-rate
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三阶扭曲广义Reed-Solomon码
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作者 张月 闫铭 +1 位作者 黄俊松 闫统江 《山东大学学报(理学版)》 北大核心 2025年第5期87-92,共6页
构造三阶扭曲广义里德-所罗门(twisted generalized Reed-Solomon,TGRS)码,刻画了这类码是极大距离可分(maximum distance separable,MDS)码的充要条件,给出MDS码的新型构造方法,拓展了一阶和二阶MDS-TGRS码的研究。
关键词 纠错编码 MDS码 扭曲广义reed-solomon 广义reed-solomon reed-solomon
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利用扭曲的Reed-Solomon码构造两类极大距离可分纠缠辅助量子纠错码
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作者 潘鑫 高健 《电子与信息学报》 北大核心 2025年第10期3804-3813,共10页
随着量子通信和量子计算技术的飞速发展,高效量子纠错编码技术已成为保障量子系统可靠性的核心需求。传统量子纠错码在参数灵活性和最小距离约束方面存在显著局限性,难以适应复杂量子通信场景中的动态需求。该文基于扭曲的Reed-Solomon(... 随着量子通信和量子计算技术的飞速发展,高效量子纠错编码技术已成为保障量子系统可靠性的核心需求。传统量子纠错码在参数灵活性和最小距离约束方面存在显著局限性,难以适应复杂量子通信场景中的动态需求。该文基于扭曲的Reed-Solomon(TGRS)码,根据码长中i的奇偶性的不同具体讨论矩阵G G^(H)的秩,进一步通过分析该矩阵的秩确定厄米特正交包的维数,从而得到两类极大距离可分纠缠辅助量子纠错码(MDS EAQECCs)。研究发现,通过特定的扭曲操作,所构造的两类MDS EAQECCs不仅能够灵活调整码长,还能显著提升最小距离,突破了传统理论界限。此外,该文利用扭曲操作将两类MDS EAQECCs提升为最大纠缠态极大距离可分纠缠辅助量子纠错码(ME-MDS EAQECCs)。该文研究成果不仅为量子纠错码设计提供了更广泛的参数选择,还为动态量子通信场景中的高效纠错提供了理论支撑。 展开更多
关键词 纠缠辅助量子码 扭曲的reed-solomon 厄米特正交包
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PERFORMANCE OF SIMPLE-ENCODING IRREGULAR LDPC CODES BASED ON SPARSE GENERATOR MATRIX
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作者 唐蕾 仰枫帆 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2006年第3期202-207,共6页
A new method for the construction of the high performance systematic irregular low-density paritycheck (LDPC) codes based on the sparse generator matrix (G-LDPC) is introduced. The code can greatly reduce the enco... A new method for the construction of the high performance systematic irregular low-density paritycheck (LDPC) codes based on the sparse generator matrix (G-LDPC) is introduced. The code can greatly reduce the encoding complexity while maintaining the same decoding complexity as traditional regular LDPC (H-LDPC) codes defined by the sparse parity check matrix. Simulation results show that the performance of the proposed irregular LDPC codes can offer significant gains over traditional LDPC codes in low SNRs with a few decoding iterations over an additive white Gaussian noise (AWGN) channel. 展开更多
关键词 belief propagation iterative decoding algorithm sparse parity-check matrix sparse generator matrix H LDPC codes G-LDPC codes
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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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A Note on Characteristic Generators of a Free Cyclic Code and Its Dual
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作者 YANG Qinqin QIN Zhongping 《Wuhan University Journal of Natural Sciences》 CAS 2009年第1期14-18,共5页
Let C be a free cyclic code over Zp^a and dim pC = k. In the paper, we prove that if the k characteristic generators of C are p-linearly independent then the corresponding nα- k characteristic generators of C^⊥ are ... Let C be a free cyclic code over Zp^a and dim pC = k. In the paper, we prove that if the k characteristic generators of C are p-linearly independent then the corresponding nα- k characteristic generators of C^⊥ are p-linearly independent. We then show that to any trellis that can be constructed from k p-linearly independent characteristic generators of C, there exists a trellis for C^⊥ with the same state-complexity profile, which generalizes the conjecture of Koetter and Vardy to a free cyclic code over Zpo. 展开更多
关键词 Hensel lift cyclic codes characteristic generators trellises state-complexity profile
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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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HIGH-PERFORMANCE SIMPLE-ENCODING GENERATOR-BASED SYSTEMATIC IRREGULAR LDPC CODES AND RESULTED PRODUCT CODES
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作者 Yang Fengfan Ye Ming Luo Lin 《Journal of Electronics(China)》 2007年第5期613-621,共9页
Low-Density Parity-Check (LDPC) code is one of the most exciting topics among the coding theory community.It is of great importance in both theory and practical communications over noisy channels.The most advantage of... Low-Density Parity-Check (LDPC) code is one of the most exciting topics among the coding theory community.It is of great importance in both theory and practical communications over noisy channels.The most advantage of LDPC codes is their relatively lower decoding complexity compared with turbo codes,while the disadvantage is its higher encoding complexity.In this paper,a new ap- proach is first proposed to construct high performance irregular systematic LDPC codes based on sparse generator matrix,which can significantly reduce the encoding complexity under the same de- coding complexity as that of regular or irregular LDPC codes defined by traditional sparse parity-check matrix.Then,the proposed generator-based systematic irregular LDPC codes are adopted as con- stituent block codes in rows and columns to design a new kind of product codes family,which also can be interpreted as irregular LDPC codes characterized by graph and thus decoded iteratively.Finally, the performance of the generator-based LDPC codes and the resultant product codes is investigated over an Additive White Gaussian Noise (AWGN) and also compared with the conventional LDPC codes under the same conditions of decoding complexity and channel noise. 展开更多
关键词 LDPC code Iterative decoding Parity-check generator matrix Product code GRAPH Kronecker product
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PrivCode:代码生成隐私保护策略
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作者 杨琴 石林 +1 位作者 徐守坤 张华君 《计算机工程与设计》 北大核心 2024年第12期3546-3552,共7页
为解决用户使用Copilot等代码生成工具时面临的数据隐私泄露的问题,提出一种在线代码生成隐私保护策略PrivCode。考虑到当前机器学习隐私保护策略往往是基于白盒的前提设计的,难以适用不可知结构下的大型模型,将Copilot视为黑盒并引入... 为解决用户使用Copilot等代码生成工具时面临的数据隐私泄露的问题,提出一种在线代码生成隐私保护策略PrivCode。考虑到当前机器学习隐私保护策略往往是基于白盒的前提设计的,难以适用不可知结构下的大型模型,将Copilot视为黑盒并引入代理服务器,通过Mix-Net混淆多个用户的请求,打破用户和代码生成请求之间的映射关系。1-out-of-N不经意传输确保用户接收代码提示的安全。该策略满足定义的3条性质,实验测算结果表明,协议在实际场景中可用。该策略兼顾了用户的安全以及使用需求。 展开更多
关键词 隐私保护 代码生成 混淆网络 数据安全 不经意传输 双线性映射 匿名
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Three New Classes of Subsystem Codes
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作者 LI Hui LIU Xiusheng HU Peng 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2024年第1期38-44,共7页
In this paper,we construct three classes of Clifford subsystem maximum distance separable(MDS)codes based on Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields Fq for specific code lengt... In this paper,we construct three classes of Clifford subsystem maximum distance separable(MDS)codes based on Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields Fq for specific code lengths.Moreover,our Clifford subsystem MDS codes are new because their parameters differ from the previously known ones. 展开更多
关键词 Clifford subsystem codes reed-solomon codes generator matrices
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Nondifferentiable Multiobjective Programming under Generalized d_I-G-Type I Invexity
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作者 闫春雷 《Journal of Donghua University(English Edition)》 EI CAS 2013年第4期293-297,共5页
To relax convexity assumptions imposed on the functions in theorems on sufficient conditions and duality,new concepts of generalized dI-G-type Ⅰ invexity were introduced for nondifferentiable multiobjective programmi... To relax convexity assumptions imposed on the functions in theorems on sufficient conditions and duality,new concepts of generalized dI-G-type Ⅰ invexity were introduced for nondifferentiable multiobjective programming problems.Based upon these generalized invexity,G-Fritz-John (G-F-J) and G-Karnsh-Kuhn-Tucker (G-K-K-T) types sufficient optimality conditions were established for a feasible solution to be an efficient solution.Moreover,weak and strict duality results were derived for a G-Mond-Weir type dual under various types of generalized dI-G-type Ⅰ invexity assumptions. 展开更多
关键词 nondifferentiable multiobjective program efficient solution generalized dI-G-type invexity sufficient optimality conditions dualityCLC number:O221.6Document code:AArticle ID:1672-5220(2013)04-0293-05
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A Novel Algorithm of Error Check and Code Generation for Structured Flowchart
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作者 Mingcheng Qu Naigang Cui +1 位作者 Xianghu Wu Yongchao Tao 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2017年第4期18-30,共13页
Structured flowchart( SFC) and Automatic code generation based on SFC( CG-SFC) have been widely used in software requirements,design and testing phases. Some CG-SFC tools such as Rhapsody have the ability to build flo... Structured flowchart( SFC) and Automatic code generation based on SFC( CG-SFC) have been widely used in software requirements,design and testing phases. Some CG-SFC tools such as Rhapsody have the ability to build flowchart and generate code,but they do not check whether a given flowchart is correct or structural. For unstructured error ‘goto'statements will be generated randomly. We proposed three algorithms and some error recognition criteria to solve those problems. Structure recognition algorithm can recognize Selection,While/for and do-while structures. Error recognition algorithm incorporating criteria can check all the errors. At last,we develop a CG-SFC system,and compared with existing Rhapsody,it shows that the proposed algorithms are correct and effective. 展开更多
关键词 STRUCTURED flowchart code generation ERROR CHECK FEATURE RECOGNITION
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Optimal Asymmetric Quantum Codes from the Euclidean Sums of Linear Codes
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作者 XU Peng LIU Xiusheng 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2024年第1期45-50,共6页
In this paper,we first give the definition of the Euclidean sums of linear codes,and prove that the Euclidean sums of linear codes are Euclidean dual-containing.Then we construct two new classes of optimal asymmetric ... In this paper,we first give the definition of the Euclidean sums of linear codes,and prove that the Euclidean sums of linear codes are Euclidean dual-containing.Then we construct two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of the Reed-Solomon codes,and two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of linear codes generated by Vandermonde matrices over finite fields.Moreover,these optimal asymmetric quantum errorcorrecting codes constructed in this paper are different from the ones in the literature. 展开更多
关键词 Euclidean sums of linear codes optimal asymmetric quantum errorcorrecting codes vandermonde matrices reed-solomon codes
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Research and Application of Code Automatic Generation Algorithm Based on Structured Flowchart
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作者 Xiang-Hu Wu Ming-Cheng Qu +1 位作者 Zhi-Qiang Liu Jian-Zhong Li 《Journal of Software Engineering and Applications》 2011年第9期534-545,共12页
It is of great significance to automatically generate code from structured flowchart. There are some deficiencies in existing researches, and their key algorithms and technologies are not elaborated, also there are ve... It is of great significance to automatically generate code from structured flowchart. There are some deficiencies in existing researches, and their key algorithms and technologies are not elaborated, also there are very few full-featured integrated development platforms that can generate code automatically based on structured flowchart. By analyzing the characteristics of structured flowchart, a structure identification algorithm for structured flowchart is put forward. The correctness of algorithm is verified by enumeration iteration. Then taking the identified flowchart as input, an automatic code generation algorithm is proposed. Also the correctness is verified by enumeration iteration. Finally an integrated development platform is developed using those algorithms, including flowchart modeling, code automatic generation, CDT\GCC\GDB etc. The correctness and effectiveness of algorithms proposed are verified through practical operations. 展开更多
关键词 AUTOMATIC generATION of codeS STRUCTURED Flowchart Identification of Structure INTEGRATED Development PLATFORM
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