CN EN

FENG Tao

Professional title:Professor

Office No.:010-51685467

Email:tfeng@bjtu.edu.cn

Education

Ph.D. in Mathematics, Beijing Jiaotong University, June, 2008

B.Sc. in Mathematics, Beijing Jiaotong University, July, 2003

Research Field

Combinatorial design theory and coding theory

Projects

2019-2022: National Natural Science Foundation of China, 11871095, The Cayley isomorphism problem in combinatorial designs and related counting problem.

 

2015-2018: National Natural Science Foundation of China, 11471032, Certain combinatorial design issues in dense graph and Cayley graph decompositions.

 

2010-2012: National Natural Science Foundation of China, 10901016, 3-designs admitting specific automorphism group and applications to communication.

Teaching Courses

Extremal Combinatorics, Number Theory, Analytic Geometry, Linear Algebra, Mathematical Modelling, Matrix Analysis, Calculus.

Paper

  1. Tao Feng, Daniel Horsley, and Xiaomiao Wang, Novak's conjecture on cyclic Steiner triple systems and its generalization, J. Combin. Theory Ser. A, 184 (2021), 105515.
  2. Shuangqing Liu, Yanxun Chang, and Tao Feng, Parallel multilevel constructions for constant dimension codes, IEEE Trans. Inform. Theory, 66 (2020), 6884--6897.
  3. Shuangqing Liu, Yanxun Chang, and Tao Feng, Constructions for optimal Ferrers diagram rank-metric codes, IEEE Trans. Inform. Theory, 65 (2019), 4115--4130.
  4. Simone Costa, Tao Feng, and Xiaomiao Wang, New 2-designs from strong difference families, Finite Fields and Their Applications, 50 (2018), 391–405.
  5. Yanxun Chang, Bingli Fan, Tao Feng, Derek F. Holt, Patric R. J. Ostergard, Classification of Cyclic Steiner Quadruple Systems, J. Combin. Des., 25 (2017), 103-121.
  6. Tao Feng, Xiaomiao Wang, and Yanxun Chang, Semi-cyclic holey group divisible designs with block size three, Des. Codes Crypt., 74 (2015), 301-324.
  7. Peter J. Dukes, Tao Feng, and Alan C.H. Ling, A finite embedding theorem for partial Steiner 3-designs, Finite Fields and Their Applications, 33 (2015), 29-36.
  8. Xiaomiao Wang, Yanxun Chang, and Tao Feng, Optimal 2-D (n m,3,2,1)-optical orthogonal codes, IEEE Trans. Inform. Theory, 59 (2013), 710-725.
  9. Tao Feng, Yanxun Chang, Combinatorial constructions for optimal two-dimensional optical orthogonal codes with λ=2, IEEE Trans. Inform. Theory, 57 (2011), 6796-6819.
  10. Tao Feng, Yanxun Chang, Constructions for cyclic 3-designs and improved results on cyclic Steiner quadruple systems, J. Combin. Des., 19 (2011), 178-201.
  11. Yanxun Chang, Tao Feng, Giovanni Lo Faro, and Antoinette Tripodi, The existence spectrum of Meta(K4(3)> K4(3)–e), Science China Series A, 53 (2010), 2865-2876.
  12. Tao Feng, Yanxun Chang, and Lijun Ji, Constructions for strictly cyclic 3-designs and applications to optimal OOCs with λ=2, J. Combin. Theory Ser. A, 115 (2008), 1527-1551.