In this pepar two necessary and sufficient conditions of the commutatively prefix codes are given. From this a family of commutatively prefix codes called every-layer-extensible codes have been found.
In this paper,we exhibit a free monoid containing all prefix codes in connection with the sets of i-th powers of primitive words for all i≥2.This extends two results given by Shyr and Tsai in 1998 at the same time.
In a recent paper, Hu et al. defined the complete weight distributions of quantum codes and proved the Mac Williams identities, and as applications they showed how such weight distributions may be used to obtain the s...In a recent paper, Hu et al. defined the complete weight distributions of quantum codes and proved the Mac Williams identities, and as applications they showed how such weight distributions may be used to obtain the singleton-type and hamming-type bounds for asymmetric quantum codes. In this paper we extend their study much further and obtain several new results concerning the complete weight distributions of quantum codes and applications. In particular, we provide a new proof of the Mac Williams identities of the complete weight distributions of quantum codes. We obtain new information about the weight distributions of quantum MDS codes and the double weight distribution of asymmetric quantum MDS codes. We get new identities involving the complete weight distributions of two different quantum codes. We estimate the complete weight distributions of quantum codes under special conditions and show that quantum BCH codes by the Hermitian construction from primitive, narrow-sense BCH codes satisfy these conditions and hence these estimate applies.展开更多
Recently,linear codes with a few weights have been extensively studied due to their applications in secret sharing schemes,constant composition codes,strongly regular graphs and so on.In this paper,based on the Weil s...Recently,linear codes with a few weights have been extensively studied due to their applications in secret sharing schemes,constant composition codes,strongly regular graphs and so on.In this paper,based on the Weil sums,several classes of two-weight or three-weight linear codes are presented by choosing a proper defining set,and their weight enumerators and complete weight enumerators are determined.Furthermore,these codes are proven to be minimal.By puncturing these linear codes,two classes of two-weight projective codes are obtained,and the parameters of the corresponding strongly regular graph are given.This paper generalizes the results of[7].展开更多
Long non-coding RNAs(lncRNAs)are abundantly expressed in the central nervous system and exert a critical role in gene regulation via multiple biological processes.To uncover the functional significance and molecular m...Long non-coding RNAs(lncRNAs)are abundantly expressed in the central nervous system and exert a critical role in gene regulation via multiple biological processes.To uncover the functional significance and molecular mechanisms of lncRNAs in spinal cord injury(SCI),the expression signatures of lncRNAs were profiled using RNA sequencing(RNA-seq)technology in a Sprague-Dawley rat model of the 10th thoracic vertebra complete transection SCI.Results showed that 116 of 14,802 detected lncRNAs were differentially expressed,among which 16—including eight up-regulated(H19,Vof16,Hmox2-ps1,LOC100910973,Ybx1-ps3,Nnat,Gcgr,LOC680254)and eight down-regulated(Rmrp,Terc,Ngrn,Ppp2r2b,Cox6a2,Rpl37a-ps1,LOC360231,Rpph1)—demonstrated fold changes>2 in response to transection SCI.A subset of these RNA-seq results was validated by quantitative real-time PCR.The levels of 821 mRNAs were also significantly altered post-SCI;592 mRNAs were up-regulated and 229 mRNAs were down-regulated by more than 2-fold.Gene Ontology(GO)and Kyoto Encyclopedia of Genes and Genomes(KEGG)analyses showed that differentially expressed mRNAs were related to GO biological processes and molecular functions such as injury and inflammation response,wound repair,and apoptosis,and were significantly enriched in 15 KEGG pathways,including cell phagocytosis,tumor necrosis factor alpha pathway,and leukocyte migration.Our results reveal the expression profiles of lncRNAs and mRNAs in the rat spinal cord of a complete transection model,and these differentially expressed lncRNAs and mRNAs represent potential novel targets for SCI treatment.We suggest that lncRNAs may play an important role in the early immuno-inflammatory response after spinal cord injury.This study was approved by the Administration Committee of Experimental Animals,Guangdong Province,China.展开更多
This paper defines the complete Chinese characters set and expounds the necessity of the design of the internal code for the set.Then,article offers two kinds of internal codes(the CNCC code and TTB code) with their d...This paper defines the complete Chinese characters set and expounds the necessity of the design of the internal code for the set.Then,article offers two kinds of internal codes(the CNCC code and TTB code) with their definitions and their performances Finally,the paper discusses the techniques of implementing these eodes,including the trandsforming system kernel,Chinese-English compatible sceen-display and screen-deiting.展开更多
Recently, linear codes over finite fields with a few weights have been extensively studied due to their applications in secret sharing schemes, authentication codes, constant composition codes. In this paper, for an o...Recently, linear codes over finite fields with a few weights have been extensively studied due to their applications in secret sharing schemes, authentication codes, constant composition codes. In this paper, for an odd prime p,the complete weight enumerator of a class of p-ary linear codes based on defining sets are determined. Furthermore, from the explicit complete weight enumerator of linear codes, a new class of optimal constant composition codes and several classes of asymptotically optimal systematic authentication codes are obtained.展开更多
Let P3q(or PG(3, q)) denote the protective space of dimension 3 over a finite field Fq. A class of codes has been constructed from curves of complete intersection in Pq3. Parameters, generators and parity-check matric...Let P3q(or PG(3, q)) denote the protective space of dimension 3 over a finite field Fq. A class of codes has been constructed from curves of complete intersection in Pq3. Parameters, generators and parity-check matrices are given. Another result is that a decoding algorithm turns out to be a generalization of the algorithm for decoding plane algebraic curve codes. The proposed algorithm has a complexity 0(n4), where ?is the length of the codes.展开更多
基于大语言模型(Large Language Models,LLM)的代码补全技术为软件开发带来了新机遇。文章构建了一种基于LLM的智能代码补全系统,设计涵盖系统架构、上下文建模、提示构造、多语言支持等关键模块,采用静态与动态上下文融合策略,结合自定...基于大语言模型(Large Language Models,LLM)的代码补全技术为软件开发带来了新机遇。文章构建了一种基于LLM的智能代码补全系统,设计涵盖系统架构、上下文建模、提示构造、多语言支持等关键模块,采用静态与动态上下文融合策略,结合自定义Prompt模板,实现代码语义的精准建模与提示优化目标。在模型适配方面,引入迁移学习机制,增强跨语言泛化能力。性能评估实验结果表明,该系统在多种语言环境下均表现出了较高的补全准确率与响应效率,具备良好的实用价值与扩展潜力。展开更多
文摘In this pepar two necessary and sufficient conditions of the commutatively prefix codes are given. From this a family of commutatively prefix codes called every-layer-extensible codes have been found.
基金Supported by the National Natural Science Foundation of China(11861071).
文摘In this paper,we exhibit a free monoid containing all prefix codes in connection with the sets of i-th powers of primitive words for all i≥2.This extends two results given by Shyr and Tsai in 1998 at the same time.
基金the National Natural Science Foundation of China (Grant Nos. 61972413, 61901525, and 62002385)the National Key R&D Program of China (Grant No. 2021YFB3100100)RGC under Grant No. N HKUST619/17 from Hong Kong, China。
文摘In a recent paper, Hu et al. defined the complete weight distributions of quantum codes and proved the Mac Williams identities, and as applications they showed how such weight distributions may be used to obtain the singleton-type and hamming-type bounds for asymmetric quantum codes. In this paper we extend their study much further and obtain several new results concerning the complete weight distributions of quantum codes and applications. In particular, we provide a new proof of the Mac Williams identities of the complete weight distributions of quantum codes. We obtain new information about the weight distributions of quantum MDS codes and the double weight distribution of asymmetric quantum MDS codes. We get new identities involving the complete weight distributions of two different quantum codes. We estimate the complete weight distributions of quantum codes under special conditions and show that quantum BCH codes by the Hermitian construction from primitive, narrow-sense BCH codes satisfy these conditions and hence these estimate applies.
基金supported by the Natural Science Foundation of China (No.11901062)the Sichuan Natural Science Foundation (No.2024NSFSC0417)。
文摘Recently,linear codes with a few weights have been extensively studied due to their applications in secret sharing schemes,constant composition codes,strongly regular graphs and so on.In this paper,based on the Weil sums,several classes of two-weight or three-weight linear codes are presented by choosing a proper defining set,and their weight enumerators and complete weight enumerators are determined.Furthermore,these codes are proven to be minimal.By puncturing these linear codes,two classes of two-weight projective codes are obtained,and the parameters of the corresponding strongly regular graph are given.This paper generalizes the results of[7].
基金financially supported by the National Natural Science Foundation of China,No.81371366(to HFW)Characteristic Innovation Project of Colleges and Universities in Guangdong Province of China,No.2018KTSCX075(to HFW)+3 种基金the Key Project of Social Development of Dongguan of China,No.20185071521640(to HFW)College Students’ Science and Technology Innovation Training Project,China,Nos.201810571058,GDMU2018024,GDMU2018056,GDMU2018061(to HFW)College Students’ Innovative Experimental Project in Guangdong Medical University,China,No.ZZDS001(to HFW)College Students’ Science and Technology Innovation Cultivation Project in Guangdong of China,No.pdjh2019b0217(to HFW)
文摘Long non-coding RNAs(lncRNAs)are abundantly expressed in the central nervous system and exert a critical role in gene regulation via multiple biological processes.To uncover the functional significance and molecular mechanisms of lncRNAs in spinal cord injury(SCI),the expression signatures of lncRNAs were profiled using RNA sequencing(RNA-seq)technology in a Sprague-Dawley rat model of the 10th thoracic vertebra complete transection SCI.Results showed that 116 of 14,802 detected lncRNAs were differentially expressed,among which 16—including eight up-regulated(H19,Vof16,Hmox2-ps1,LOC100910973,Ybx1-ps3,Nnat,Gcgr,LOC680254)and eight down-regulated(Rmrp,Terc,Ngrn,Ppp2r2b,Cox6a2,Rpl37a-ps1,LOC360231,Rpph1)—demonstrated fold changes>2 in response to transection SCI.A subset of these RNA-seq results was validated by quantitative real-time PCR.The levels of 821 mRNAs were also significantly altered post-SCI;592 mRNAs were up-regulated and 229 mRNAs were down-regulated by more than 2-fold.Gene Ontology(GO)and Kyoto Encyclopedia of Genes and Genomes(KEGG)analyses showed that differentially expressed mRNAs were related to GO biological processes and molecular functions such as injury and inflammation response,wound repair,and apoptosis,and were significantly enriched in 15 KEGG pathways,including cell phagocytosis,tumor necrosis factor alpha pathway,and leukocyte migration.Our results reveal the expression profiles of lncRNAs and mRNAs in the rat spinal cord of a complete transection model,and these differentially expressed lncRNAs and mRNAs represent potential novel targets for SCI treatment.We suggest that lncRNAs may play an important role in the early immuno-inflammatory response after spinal cord injury.This study was approved by the Administration Committee of Experimental Animals,Guangdong Province,China.
文摘This paper defines the complete Chinese characters set and expounds the necessity of the design of the internal code for the set.Then,article offers two kinds of internal codes(the CNCC code and TTB code) with their definitions and their performances Finally,the paper discusses the techniques of implementing these eodes,including the trandsforming system kernel,Chinese-English compatible sceen-display and screen-deiting.
基金supported by the National Natural Science Foundation of China under Grant No.11401408Project of Science and Technology Department of Sichuan Province under Grant No.2016JY0134the National Key R and Program of China under Grant No.2016QY04W080
文摘Recently, linear codes over finite fields with a few weights have been extensively studied due to their applications in secret sharing schemes, authentication codes, constant composition codes. In this paper, for an odd prime p,the complete weight enumerator of a class of p-ary linear codes based on defining sets are determined. Furthermore, from the explicit complete weight enumerator of linear codes, a new class of optimal constant composition codes and several classes of asymptotically optimal systematic authentication codes are obtained.
文摘Let P3q(or PG(3, q)) denote the protective space of dimension 3 over a finite field Fq. A class of codes has been constructed from curves of complete intersection in Pq3. Parameters, generators and parity-check matrices are given. Another result is that a decoding algorithm turns out to be a generalization of the algorithm for decoding plane algebraic curve codes. The proposed algorithm has a complexity 0(n4), where ?is the length of the codes.
文摘基于大语言模型(Large Language Models,LLM)的代码补全技术为软件开发带来了新机遇。文章构建了一种基于LLM的智能代码补全系统,设计涵盖系统架构、上下文建模、提示构造、多语言支持等关键模块,采用静态与动态上下文融合策略,结合自定义Prompt模板,实现代码语义的精准建模与提示优化目标。在模型适配方面,引入迁移学习机制,增强跨语言泛化能力。性能评估实验结果表明,该系统在多种语言环境下均表现出了较高的补全准确率与响应效率,具备良好的实用价值与扩展潜力。
