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Tao Zhang (张韬)

Institute of Mathematics and Interdisciplinary Sciences
Xidian University

Research Interests

Discrete geometry, extremal combinatorics, coding theory and designs


Professional Experiences

Xidian University, 2024.2--
Professor

Zhejiang Lab, 2022.7--2024.1
Research Expert

Guangzhou University, 2017.7--2022.6
Associate Professor

Education

Zhejiang University， 2012.9--2017.6
Ph.D. in Mathematics (Advisor: Prof. Gennian Ge)

Honours and Awards

2019 Kirkman Medal

2019 The Honorable Mention of Doctor thesis for New World Mathematics Awards

2018 The Excellent Doctor Dissertations of Zhejiang Province

2018 The Nomination Award for Excellent Doctor Dissertations of Zhejiang University

2015 Scholarship for Doctoral Student by State Key Laboratory of Information Security

2015 National Scholarship for Outstanding Doctoral Student by the Ministry of Education in China

Publications

35. Classification of semi-regular relative difference sets with gcd(λ, n) = 1 attaining Turyn’s bound

(with Ka Hin Leung, Bernhard Schmidt,

Designs, Codes and Cryptography, 2024+

34. A polynomial resultant approach to algebraic construction of extremal graphs

(with Zixiang Xu, Gennian Ge,

Science China Mathematics, 2024+

33. A group ring approach to Fuglede's conjecture in cyclic groups

Combinatorica, 2024+

32. On linear diameter perfect Lee codes with distance 6

(with Gennian Ge,

Journal of Combinatorial Theory, Series A, 2024

31. On lattice tilings of Z^n by limited magnitude error balls B(n,2,1,1)

(with Yanlu Lian, Gennian Ge,

IEEE Transactions on Information Theory, 2023

30. New lower bounds for the Turan density of PG_{m}(q)

(with Gennian Ge,

Discrete Mathematics, 2023

29. Fuglede’s conjecture holds in Zp × Zpn

SIAM Journal on Discrete Mathematics, 2023

28. On the nonexistence of semi-regular relative difference sets

(with Ka Hin Leung, Bernhard Schmidt,

Journal of Combinatorial Theory, Series A, 2023 PDF

27. New constructions of Sidon spaces

(with Gennian Ge,

Journal of Algebraic Combinatorics, 2022+ PDF

26. Some extremal results on hypergraph Turan problems

(with Zixiang Xu, Gennian Ge,

Science China Mathematics, 2022+ PDF

25. On the codegree density of PGm(q)

(with Gennian Ge,

SIAM Journal on Discrete Mathematics, 2021 PDF

23. Some tight lower bounds for Turan problems via constructions of multi-hypergraphs

(with Zixiang Xu, Gennian Ge,

European Journal of Combinatorics, 2020 PDF

22. Some New Results on Splitter Sets

(with Zuo ye, Xiande Zhang, Gennian Ge,

IEEE Transcations on Information theory, 2020 PDF

21. New lower bounds for partial k-parallelisms

(with Yue Zhou,

Journal of Combinatorial Designs, Jan. 2020. PDF

20. On the nonexistence of lattice tilings of Z^n by Lee spheres

(with Yue Zhou,

Journal of combinatorial theory, series A, Jul. 2019. PDF

19. Improved lower bounds on the degree-diameter problem

(with Gennian Ge,

Journal of Algebraic Combinatorics, Mar. 2019. PDF

18. Constructions of optimal Ferrers diagram rank metric codes

(with Gennian Ge,

Designs, Codes and Cryptography, 2019. PDF

17. On (mn,n,mn,m) relative difference sets with gcd(m,n)=1

(with Gennian Ge,

Journal of Algebraic Combinatorics, Dec. 2018. PDF

16. On the Nonexistence of Perfect Splitter Sets

(with Gennian Ge,

IEEE Transcations on Information theory, Oct. 2018. PDF

15. New Constructions of MDS Symbol-Pair Codes

(with Baokun Ding, Gennian Ge, Jun Zhang, Yiwei Zhang,

Designs, Codes and Cryptography, 2018. PDF

14. Combinatorial constructions of packings in Grassmannian spaces

(with Gennian Ge,

Designs, Codes and Cryptography, 2018. PDF

13. Maximum Distance Separable Codes for b-Symbol Read Channels

(with Baokun Ding, Gennian Ge,

Finite Fields and Their Applications, Jan. 2018. PDF

12. Splitter Sets and k -Radius Sequences

(with Xiande Zhang, Gennian Ge,

IEEE Transcations on Information theory, Dec. 2017. PDF

11. Perfect and Quasi-Perfect Codes Under the lp Metric

(with Gennian Ge,

IEEE Transcations on Information theory, Jul. 2017. PDF

10. Quantum MDS codes with large minimum distance

(with Gennian Ge,

Designs, Codes and Cryptography, 2017. PDF

9. Some new results on permutation polynomials over finite fields

(with Jingxue Ma, Tao Feng, Gennian Ge,

Designs, Codes and Cryptography, 2017. PDF

8. Invertible binary matrix with maximum number of 2-by-2 invertible submatrices

(with Yiwei Zhang, Xin Wang, Gennian Ge,

Discrete Mathematics, Feb. 2017. PDF

7. Quantum Codes Derived From Certain Classes of Polynomials

(with Gennian Ge,

IEEE Transcations on Information theory, Nov. 2016. PDF

6. New Results on Codes Correcting Single Error of Limited Magnitude for Flash Memory

(with Gennian Ge,

IEEE Transcations on Information theory, Aug. 2016. PDF

5. On the existence of certain optimal self-dual codes with lengths between 74 and 116

(with Jerod Michel, Tao Feng, Gennian Ge,

Electronic Journal of Combinatorics, Nov. 2015. PDF

4. Some New Classes of Quantum MDS Codes From Constacyclic Codes

(with Gennian Ge,

IEEE Transcations on Information theory, Sep. 2015. PDF

3. New pseudo-planar binomials in characteristic two and related schemes

(with Sihuang Hu, Shuxing Li, Tao Feng, Gennian Ge,

Designs, Codes and Cryptography, 2015. PDF

2. Fourth Power Residue Double Circulant Self-Dual Codes

(with Gennian Ge,

IEEE Transcations on Information theory, Aug. 2015. PDF

1. Some new results on the cross correlation of m sequences

(with Shuxing Li, Tao Feng, Gennian Ge,

IEEE Transcations on Information theory, May 2014. PDF

Grants

2019.1--2021.12, National Natural Science Foundation of China, Grant 11801109

2018.1--2019.12, Department of Education of Guangdong Province

Journal Referee

Advances in Mathematics of Communications

Algebraic Combinatorics

Designs, Codes and Cryptography

Discrete Mathematics

Electronic Journal of Combinatorics

Finite Fields and Their Applications

IEEE Transactions on Information Theory

Inventiones Mathematicae

Journal of Combinatorial Theory, Series A

Contact Information

Email: zhant220@163.com