高健(山東理工大學理學院教師)

山東理工大學理學院副教授,碩士生導師,2015年畢業於南開大學陳省身數學研究所,主要從事代數編碼理論、密碼學及其套用方面的研究。

基本介紹

  • 中文名:高健
  • 國籍:中華人民共和國
  • 學位/學歷:博士
  • 專業方向:編碼理論
個人資料,主要職務,研究方向,教育經歷,講授課程,科研論文,

個人資料

通訊地址:山東省淄博市新村西路266號山東理工大學理學院,郵編:255000

主要職務

山東理工大學理學院副教授,碩士生導師。

研究方向

代數編碼理論密碼學及其套用

教育經歷

2005 年 9 月至 2009 年 6 月, 山東理工大學理學院, 獲理學學士學位;
2009 年 9 月至 2012 年 6 月,山東理工大學理學院, 獲理學碩士學位;
2012 年 9 月至 2015 年 6 月, 南開大學陳省身數學研究所, 獲理學博士學位。

講授課程

本科生課程:線性代數,抽象代數,初等數論等。
研究生課程:有限域,糾錯碼理論,四元碼,代數數論等。

科研論文

2013
[1]Jian Gao, Qiong Kong. 1-generator quasi-cyclic codes over
. Journal of The Franklin Institute, 2013, 350(10), 3260-3276.(Cited by SCI and EI)
[2]Yonglin Cao, Jian Gao. Constructing quasi-cyclic codes from linear algebra theory. Designs, Codes and Cryptography, 2013, 67(1), 59-75. (Cited by SCI and EI)
2014
[1]Jian Gao, Linzhi Shen, Fang-Wei Fu, Wenli Ren. Some results on generalized quasi-cyclic codes over
. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2014, 97(4), 1005-1011. (Cited by SCI and EI)
2015
[1]Jian Gao. Quantum codes from cyclic codes over
. International Journal of Quantum Information, 2015, 13(8), 1550063-1--1550063-8. (Cited by SCI)
[2] Jian Gao. Note on support weight distribution on linear codes over
, Bulletin of the Australian Mathematical Society, 2015, 91(2), 345-350. (Cited by SCI)
[3] Jian Gao, Fang-Wei Fu. Linear codes and
-constacyclic codes over
, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2015, 98(4), 1044-1048. (Cited by SCI and EI)
[4] Jian Gao. Some results on linear codes over
. Journal of Applied Mathematics and Computing, 2015, 47(1), 473-485. (Cited by EI)
[5] Jian Gao, Fang-Wei Fu. Note on quasi-twisted codes and an application. Journal of Applied Mathematics and Computing, 2015, 47(1), 487-506. (Cited by EI)
[6]Jian Gao, Fang-Wei Fu, Ling Xiao, Rama Krishna Bandi. Some results on cyclic codes over
. Discrete Mathematics, Algorithms and Applications, 2015, 1550058-1--1550058-9.
[7] Jian Gao, Xianfang Wang. Two self-dual codes with larger lengths over
. Discrete Mathematics, Algorithms and Applications, 2015, 1550029-1--1550058-14.
[8] Yonglin Cao, Jian Gao, Fang-Wei Fu. Semisimple multivariable
-linear codes over
. Designs, Codes and Cryptography, 2015, 77(1), 153-177.(Cited by SCI and EI)
[9] Yonglin Cao, Jian Gao, Fang-Wei Fu, Yuan Cao. Enumeration and construction of additive cyclic codes over Galois rings. Discrete Mathematics, 2015, 338(6), 922-937. (Cited by SCI)
2016
[1]Jian Gao, Minjia Shi, Tingting Wu, Fang-Wei Fu. On double cyclic codes over
. Finite Fields and Their Applications, 2016, 39, 233-250. (Cited by SCI and EI)
[2] Jian Gao, Linzhi Shen, Fang-Wei Fu. A Chinese remainder theorem approach to skew generalized quasi-cyclic codes. Cryptography and Communications, 2016, 8(1), 51-66. (Cited by SCI)
[3] Jian Gao, Linzhi Shen. A class of 1-generator quasi-cyclic codes over finite chain rings. International Journal of Computer Mathematics, 2016, 93(1), 40-54. (Cited by SCI)
[4]Jian Gao, Linzhi Shen, Fang-Wei Fu. Bounds on quasi-cyclic codes over finite chain rings. Journal of Applied Mathematics and Computing, 2016, 50(1), 577-587.(Cited by EI)
[5]高健,施敏加,王現方,符方偉. 環
上的線性碼的Gray映射及其套用,中國科學A輯:數學,2016, 46(9), 1329-1336.
[6] Xianfang Wang, Jian Gao, Fang-Wei Fu. Secret sharing schemes from linear codes over
. International Journal of Foundations of Computer Science, 2016, 27(5), 595-605. (Cited by SCI)
[7] Tingting Wu, Jian Gao, Fang-Wei Fu. Some results on triple cyclic codes over
. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2016, 99(5), 998-1004. (Cited by SCI and EI)
[8] Yuan Cao, Yonglin Cao, Jian Gao. On a class of
-constacyclic codes over
. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2016, 99(7), 1438-1445. (Cited by SCI and EI)
[9] Minjia Shi, Dandan Wang, Jian Gao, Bo Wu. Construction of one-Gray weight and two-Gray weight over
. Journal of System Science and Complexity, 2016, 29,1472-1484. (Cited by SCI)
[10] Yonglin Cao, Yuan Cao, Fang-Wei Fu, Jian Gao. On a class of left metacyclic codes. IEEE Transactions on Information Theory, 2016, 62(12), 6786-6799. (Cited by SCI and EI)
2017
[1]Jian Gao, Fang-Wei Fu, Yun Gao. Some classes of linear codes over
and their applications to construct good new
-linear codes. Applicable Algebra in Engineering, Communication and Computing, 2017, 28(2): 131-153. (Cited by SCI and EI)
[2] Jian Gao, Fanghui Ma. Some results on quadratic residue codes over
. Discrete Mathematics, Algorithms and Applications, 2017, 7(4), 1750035-1---1750035-9.
[3] Xianfang Wang, Jian Gao, Fang-Wei Fu. Complete weight enumerators of two classes of linear codes. Cryptography and Communications, 2017, 9(5): 545-562.(Cited by SCI)
[4] Tngting Wu, Jian Gao, Fang-Wei Fu. 1-genertor generalized quasi-cyclic codes over
. Cryptography and Communications, 2017, 9(2), 291-299.(Cited by SCI)
[5] Minjia Shi, Jiaqi Feng, Jian Gao, Adel Alahmadi. On the support weight distribution over the ring
. Bulletin of the Australian Mathematical Society, 2017, 95(1), 157-163.(Cited by SCI)
◆ To appear
[1] Jian Gao, Fanghui Ma. Good linear codes from quadratic residue codes over a finite non-chain ring. Chinese Journal of Electronic, 2015. (Accepted for publication)
[2] 高健,呂京傑.
上的一類循環碼. 電子學報,2017. (接收待發表)
[3] Yun Gao, Jian Gao, Fang-Wei Fu. 1-generator quasi-cyclic and generalized quasi-cyclic codes over the ring
. Applicable Algebra in Engineering, Communication and Computing, 2017. (Accepted for publication)

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