高健

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

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。

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

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)

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

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

Jian Gao.Quantum codes from cyclic codes over .International Journal of Quantum Information, 2015, 13(8), 1550063-1--1550063-8.(Cited by SCI)

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)

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)

Jian Gao.Some results on linear codes over .Journal of Applied Mathematics and Computing, 2015, 47(1), 473-485.(Cited by EI)

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)

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.

Jian Gao,Xianfang Wang. Two self-dual codes with larger lengths over .Discrete Mathematics, Algorithms and Applications, 2015, 1550029-1--1550058-14.

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)

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

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)

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)

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.徠(Cited by SCI)

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)

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.

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)

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)

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)

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)

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

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)

Jian Gao, Fanghui Ma. Some results on quadratic residue codes over .Discrete Mathematics, Algorithms and Applications, 2017, 7(4), 1750035-1---1750035-9.

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)

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)

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

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)

高健，呂京傑. 上的一類循環碼.電子學報，2017. (接收待發表)

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)