个人简介:
许广魁,男,安徽宿州人,教授,博士研究生,国防科技大学博士后,安徽省省级教坛新秀。
教育和工作经历:
2013.09–2016.12,南京航空航天大学大学,应用数学,博士
2005.09–2008.04,南京航空航天大学大学,基础数学, 硕士
2001.09–2005.07, 阜阳师范学院, 数学与应用数学,学士
2023.01至今,安徽建筑大学,数理学院,副教授
2018.01-2022.12 淮南师范学院金融与数学学院,副教授
2013.07-2017.12,淮南师范学院数学与应用数学系,讲师。
2008.04-2013.06,淮南师范学院数学与计算科学系,助教。
研究方向:
有限域及其应用,代数编码,密码学
教学情况:
本科生课程:高等代数、抽象代数、初等数论、高等数学、线性代数、概率论与数理统计。
科研情况:
主持国家自然科学基金面上项目1项、国家自然科学基金青年项目1项、安徽省自然科学基金项目1项、安徽省高校自然科学研究重点项目1项、安徽高校优秀青年人才支持计划重点项目1项,在《IEEE Transaction on Information Theory》、《Finite Fields and Their Applications》、《Discrete mathematics》等国内外重要学术期刊上发表学术论文20余篇。
主持科研项目(课题)情况:
国家自然科学基金面上项目,编号:62172183, 《极小线性码的构造及其应用研究》,起止年月:2022/01-2025/12,58万元,在研,主持
国家自然科学基金青年基金项目,编号:11601177, 《几类Plateaued函数的构造及其在线性码构造中的应用》,起止年月:2017/01-2019/12,18万元,完成,主持
安徽省青年自然科学基金, 编号:1608085QA05,《高非线性密码函数的构造及其应用研究》,起止年月:2016/01-2018/12,8万元,完成,主持
安徽省高等学校自然科学研究重点项目,编号:KJ2020A0643,《基于布尔函数的线性码构造研究》。起止年月:2020/12-2022/12,6万元,完成,主持
2016年高校优秀青年人才支持计划重点项目,编号:gxyqZD2016258,关于循环码的构造及Hamming重量分布研究,完成,主持
代表论文:
[1] Guangkui Xu, Xiwang Cao, Complete permutation polynomials over finite fields of odd Characteristic, Finite Fields Appl.,2015,31:228-240.
[2]Guangkui Xu, Xiwang Cao, Constructing new piecewise differentially 4-uniform permutations from known APN functions, International Journal of Foundations of Computer Science, 2016,26(5):599-609
[3] Guangkui Xu,Xiwang Cao, Shanding Xu, Constructing new APN functions and bent functions over finite fields of odd characteristic via the switching method, Cryptography and Communications,2015(8):155-171.
[4] Guangkui Xu,Xiwang Cao, Shanding Xu, Further results on permutation polynomials of the form(x^{p^m}-x+δ)+L(x) over Fp^m,Journal of Algebra and its Applications, 2016,15(5)DOI: 10.1142/S0219498816500985
[5] Guangkui Xu,Xiwang Cao, Shanding Xu, Several classes of polynomials with low differential uniformity over finite fields of odd characteristic,Appl. Algebra Eng.Commun.Comput., 2016, 27,91-103(SCI,EI)
[6] Guangkui Xu,Xiwang Cao, Optimal quinary cyclic codes with minimum distance four,Cryptography and Communications, 2016 (8): 541–554
[7] Guangkui Xu,Xiwang Cao, Shanding Xu, Several classes of Boolean functions with few Walsh transform values,Appl. Algebra Eng. Commun. Comput., 2017, 28 (2): 155–176
[8] Guangkui Xu, Xiwang Cao, Shanding Xu, Two classes of p-ary bent functions and linear codes with three or four weights, Cryptography and Communications, 2017, 9 (1): 117–131
[9] Guangkui Xu, Xiwang Cao, Shanding Xu, Several classes of quadratic ternary bent, near-bent and 2-plateaued functions, International Journal of Foundations of Computer Science, 2017, 28 (1) :1-18,
[10] Guangkui Xu, Xiwang Cao, Shanding Xu, Jingshui Ping, Complete weight enumerators of a class of linear codes with two weights, Discrete Mathematics,2018(341):525-535.
[11] Guangkui Xu, Xiwang Cao Jingshui Ping, Some permutation pentanomials over finite fields with even characteristic, Finite Fields Appl.,2018(49):212-226.
[12] Guangkui Xu, Xiwang Cao, Gaojun Luo,Wei Du,Two classes of linea r codes with two or three weights,IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2018 (12):2366-2373
[13] Guangkui Xu, Longjiang Qu, Three classes of minimal linear codes over the finite fields of odd characteristic, IEEE Trans. Inf. Theory, 2019, 65(11): 7067–7078.
[14] Guangkui Xu, Longjiang Qu, Xiwang Cao, Minimal linear codes from Maiorana-McFarland functions , Finite Fields Appl.,2020(65):101688. [15]Guangkui Xu, Longjiang Qu, Two classes of differentially 4-uniform permutations over F2 n with n even, Advances in Mathematics of Communications, 2020,14(1): 97-110 [16] Guangkui Xu, Xiwang Cao, Longjiang Qu, Infinite families of 3-designs and 2-designs from almost MDS codes, IEEE Trans. Inf. Theory, 2022,68(7): 4344- 4353 [17] Guangkui Xu, Gaojun Luo, Xiwang Cao, Several classes of permutation polynomials of the form (xpm−x +δ)s+x over Fp2m, Finite Fields Appl.,2022 (79) 102001 [18] Guangkui Xu, Longjian Qu, Gaojun Luo, Minimal linear codes from weakly regular bent functions, Cryptography and Communications, 2022(14):415-431 获奖情况: 1.2019年获得安徽省省级教坛新秀 2.2018年被评为淮南师范学院“优秀教师” 3.2017年淮南师范学院“优秀共产党员” |
联系邮箱:
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