高健

山東理工大學理學院副教授，碩士生導師。

代數編碼理論；密碼學及其應用

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。 ^[1] 

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。

◆ 2013 ^[2] 

[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 ^[2] 

[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 ^[2] 

[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 ^[2] 

[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映射及其應用，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 ^[2] 

[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 ^[2] 

[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)