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GALOIS: 作品数：86被引量：39H指数：3; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：陈卫红戚文峰蔡菊香章佳敏林妹珠更多>>; 相关机构：解放军信息工程大学中国人民解放军信息工程大学中国科学技术大学华中师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家高技术研究发展计划福建省教育厅资助项目福建省自然科学基金更多>>

本刊英文版Vol.40(2024),No.7论文摘要: 《数学学报（中文版）》2024年第5期I0001-I0008,共8页; Deformation of Rigid Conjugate Self-dual Galois Representations Yi Feng LIU Yi Chao TIAN Liang XIAO Wei ZHANG Xin Wen ZHU Abstract In this article,we study deformations of conjugate self-dual Galois representations.Th...; 关键词：CONJUGATE GALOIS satisfying

Deformation of Rigid Conjugate Self-dual Galois Representations: 《Acta Mathematica Sinica,English Series》2024年第7期1599-1644,共46页Yi Feng LIU Yi Chao TIAN Liang XIAO Wei ZHANG Xin Wen ZHU; Y.L.supported by NSF(Grant No.DMS-1702019)and a Sloan Research Fellowship;Y.T.supported by NSFC(Grant No.12225112/12231001);CAS Project for Young Scientists in Basic Research(Grant No.YSBR-033);L.X.supported by NSF(Grant No.DMS-1502147/DMS-1752703);NSFC(Grant No.12071004)and the Chinese Ministry of Education;W.Z.supported by NSF(Grant No.DMS-1838118/DMS-1901642);X.Z.supported by NSF(Grant No.DMS-1902239)and a Simons Fellowship。; In this article,we study deformations of conjugate self-dual Galois representations.The study is twofold.First,we prove an R=T type theorem for a conjugate self-dual Galois representation with coefficients in a finite...; 关键词：Galois deformation rigid conjugate self-dual Galois representations

A Fibonacci View on the Galois NFSR Used in Trivium: 《Journal of Systems Science & Complexity》2024年第3期1326-1350,共25页WANG Hongyu ZHENG Qunxiong QI Wenfeng; supported by the National Natural Science Foundation of China under Grant Nos.12371526,61872383,61802430,and 62202494。; Trivium is an international standard of lightweight stream ciphers(ISO/IEC 29192-3:2012).In this paper,the Trivium-like NFSRs,a class of Galois NFSRs generalized from the Galois NFSR of Trivium,are studied from the pe...; 关键词：Fibonacci NFSR galois NFSR interleaved sequence linear degeneracy trivium

代数几何码的Galois对偶码的Weil微分表示: 《中国科学技术大学学报》2023年第12期53-58,I0008,I0010,共8页李家齐马立明; supported by the National Key Research and Development Program of China(2022YFA1004900);the USTC Research Funds of the Double First-Class Initiative(YD0010002004);the Fundamental Research Funds for the Central Universities(WK3470000020,WK0010000068).; Galois对偶码是Euclid对偶码和Hermite对偶码的推广。我们证明了函数域F=F_(p)^(e)上代数几何码C_(L,F)(D,G)的h-Galois对偶码是F′=F_(p)^(e)上的代数几何码C_(Ω,F′)(ϕ_(h)(D),ϕ_(h)(G)),其中,F′=F_(p)^(e)是一个与F=F_(p)^(e)有关...; 关键词：代数几何码 Galois对偶码 Galois线性补对偶码 MDS码

关于计算cos 2π/5的Galois理论诠释: 《高等数学研究》2023年第6期20-21,共2页高汉鹏; 国家自然科学基金(11971225).; 本文介绍了计算cos 2π/5的几何方法与代数方法.特别地,应用Galois理论给出代数方法求解的原理.; 关键词：三角函数因式分解 Galois理论

环Z/(2^(29)-1)上本原序列的密码性质分析及其高效并行设计实现: 《信息工程大学学报》2023年第6期725-733,共9页许丹丹朱伟浩豆亚芳; 国家自然科学基金资助项目(61872383)。; 随着相关攻击和代数攻击的发展,采用非线性驱动已然成为当前序列密码算法设计的主流,如何设计非线性驱动部件以及分析相应的密码性质是当前序列密码领域研究的重要课题。首次提出基于环Z/(2^(29)-1)设计和分析非线性驱动序列;然后,基于G...; 关键词：序列密码线性递归序列本原序列 Galois并行设计

Secured ECG Signal Transmission Using Optimized EGC with Chaotic Neural Network in WBSN: 《Computer Systems Science & Engineering》2023年第2期1109-1123,共15页Ishani Mishra Sanjay Jain Vivek Maik; In wireless body sensor network(WBSN),the set of electrocardiogram(ECG)data which is collected from sensor nodes and transmitted to the server remotely supports the experts to monitor the health of a patient.While tra...; 关键词：Wireless body sensor network ECG pity beetle swarm optimization algorithm elliptic galois cryptography and chaotic neural network

On observability of Galois nonlinear feedback shift registers over finite fields被引量：1: 《Frontiers of Information Technology & Electronic Engineering》2022年第10期1533-1545,共13页Zhe GAO Jun’e FENG Yongyuan YU Yanjun CUI; the National Natural Science Foundation of China(No.61877036)。; Observability ensures that any two distinct initial states can be uniquely determined by their outputs,so the stream ciphers can avoid unobservable nonlinear feedback shift registers(NFSRs)to prevent the occurrence of...; 关键词：OBSERVABILITY Nonlinear feedback shift registers(NFSRs) Galois NFSRs Semi-tensor product Finite fields Logical networks

Observability of Galois nonlinear feedback shift registers被引量：1: 《Science China(Information Sciences)》2022年第9期215-230,共16页Wenhui KONG Jianghua ZHONG Dongdai LIN; supported by National Natural Science Foundation of China(Grant Nos.61772029,62172408,61872359)。; Nonlinear feedback shift registers(NFSRs)have been used in many recent stream ciphers.They are generally classified into Fibonacci NFSRs and Galois NFSRs according to their implementation configurations.An NFSR is obs...; 关键词：shift register stream cipher OBSERVABILITY Boolean network semi-tensor product

Algebraic Points of Any Degree l with (l ≥ 9) over Q on the Affine Equation Curve C3 (11): y11 = x3(x-1)3: 《Advances in Pure Mathematics》2022年第9期519-525,共7页Boubacar Sidy Balde Mohamadou Mor Diogou Diallo Oumar Sall; In this work, we use the finiteness of the Mordell-weil group and the Riemann Roch spaces to give a geometric parametrization of the set of algebraic points of any given degree over the field of rational numbers Q on ...; 关键词：Mordell-Weil Group JACOBIAN Galois Conjugates Algebraic Extensions the Abel-Jacobi Theorem Linear Systems

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