Research
Preprints
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2. Ka Hin Leung, Ran Tao, Daohua Wang and Tao Zhang,
On lattice tilings of Z^n by limited magnitude error balls B(n,2,k_1,k_2) with k_1>k_2.
arXiv: 2505.08495. -
1. Shilei Fan and Tao Zhang,
Periodicity of tiles in finite Abelian groups,
arXiv: 2408.12901.
Publications
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36. Tao Zhang and Gennian Ge
New results on sparse representations in unions of orthonormal bases,
Applied and Computational Harmonic Analysis, vol. 79, 101786, 2025. -
35. Tao Zhang, Zixiang Xu and Gennian Ge
A polynomial resultant approach to algebraic construction of extremal graphs ,
Science China Mathematics, vol. 68, no. 2, pp. 485--506, 2025. -
34. Ka Hin Leung, Bernhard Schmidt and Tao Zhang
Classification of semi-regular relative difference sets with gcd(λ, n) = 1 attaining Turyn’s bound ,
Designs, Codes and Cryptography, vol. 92, pp. 2159–2182, 2024. -
33. Tao Zhang
A group ring approach to Fuglede’s conjecture in cyclic groups ,
Combinatorica, vol. 44, pp.393-416, 2024. -
32.Tao Zhang and Gennian Ge
On linear diameter perfect Lee codes with distance 6 ,
Journal of Combinatorial Theory, Series A, vol. 201, 105816, 2024. -
31.Tao Zhang, Yanlu Lian and Gennian Ge
On lattice tilings of Z^n by limited magnitude error balls B(n, 2, 1, 1) ,
IEEE Transactions on Information Theory, vol. 69, no. 11, pp. 7110-7121, Nov. 2023. -
30.Tao Zhang
Fuglede’s conjecture holds in Zp × Z_p^n ,
SIAM Journal on Discrete Mathematics, vol.37, no. 2, pp. 1180–1197, 2023. -
29.Tao Zhang and Gennian Ge
New lower bounds for the Turán density of PG_m(q) ,
Discrete Mathematics, vol. 346, 113367, 2023. -
28.Ka Hin Leung, Bernhard Schmidt and Tao Zhang
On the nonexistence of semi-regular relative difference sets ,
Journal of Combinatorial Theory, Series A, vol. 193, 105674, 2023. -
27.Zixiang Xu, Tao Zhang and Gennian Ge
Some extremal results on hypergraph Turán problems ,
Science China Mathematics, vol. 65, pp. 1765–1774, 2022. -
26.Tao Zhang and Gennian Ge
New constructions of Sidon spaces ,
Journal of Algebraic Combinatorics, vol.55, pp. 781–794, 2022. -
25. Tao Zhang and Gennian Ge
On the codegree density of PG_m(q) ,
SIAM Journal on Discrete Mathematics, vol. 35, no. 3, pp. 1548–1556, 2021. -
24. Gennian Ge, Yifan Jing, Zixiang Xu and Tao Zhang
Color isomorphic even cycles and a related Ramsey problem ,
SIAM Journal on Discrete Mathematics, vol. 34, no. 3, pp. 1999–2008, 2020. -
23. Zixiang Xu, Tao Zhang and Gennian Ge
Some tight lower bounds for Turán problems via constructions of multi-hypergraphs ,
European Journal of Combinatorics, vol. 89, 103161, 2020. -
22.Zuo Ye, Tao Zhang, Xiande Zhang and Gennian Ge
Some new results on splitter sets ,
IEEE Transactions on Information Theory, vol. 66, no. 5, pp. 2765–2776, May 2020. -
21. Tao Zhang and Yue Zhou
New lower bounds for partial k-parallelisms ,
Journal of Combinatorial Designs, vol. 28, pp. 75–84, 2020. -
20. Tao Zhang and Yue Zhou
On the nonexistence of lattice tilings of Z^n by Lee spheres ,
Journal of Combinatorial Theory, Series A, vol. 165, pp. 225–257, 2019. -
19. Tao Zhang and Gennian Ge
Improved lower bounds on the degree-diameter problem ,
Journal of Algebraic Combinatorics, vol. 49, no. 2, pp. 135–146, 2019. -
18. Tao Zhang and Gennian Ge
Constructions of optimal Ferrers diagram rank-metric codes ,
Designs, Codes and Cryptography, vol. 87, no. 1, pp. 107–121, 2019. -
17. Tao Zhang and Gennian Ge
On (mn, n, mn,m) relative difference sets with gcd(m, n) = 1 ,
Journal of Algebraic Combinatorics, vol. 48, no. 4, pp. 565–579, 2018. -
16. Tao Zhang and Gennian Ge
On the nonexistence of perfect splitter sets ,
IEEE Transactions on Information Theory, vol. 64, no. 10, pp. 6561–6566, Oct. 2018. -
15. Baokun Ding, Gennian Ge, Jun Zhang, Tao Zhang and Yiwei Zhang
New constructions of MDS symbol-pair codes ,
Designs, Codes and Cryptography, vol. 86, no. 4, pp. 841–859, 2018. -
14. Tao Zhang and Gennian Ge
Combinatorial constructions of packings in Grassmannian spaces ,
Designs, Codes and Cryptography, vol. 86, no. 4, pp. 803–815, 2018. -
13. Baokun Ding, Tao Zhang and Gennian Ge
Maximum distance separable codes for b-symbol read channels ,
Finite Fields and Their Applications, vol. 49, pp. 180–197, 2018. -
12. Tao Zhang, Xiande Zhang and Gennian Ge
Splitter sets and k-radius sequences ,
IEEE Transactions on Information Theory, vol. 63, no. 12, pp. 7633–7645, Dec. 2017. -
11. Tao Zhang and Gennian Ge
Quantum MDS codes with large minimum distance ,
Designs, Codes and Cryptography, vol. 83, no. 3, pp. 503–517, 2017. -
10. Jingxue Ma, Tao Zhang, Tao Feng and Gennian Ge
Some new results on permutation polynomials over finite fields ,
Designs, Codes and Cryptography, vol. 83, no. 2, pp. 425–443, 2017. -
9. Tao Zhang and Gennian Ge
Perfect and quasi-perfect codes under the l_p metric ,
IEEE Transactions on Information Theory, vol. 63, no. 7, pp. 4325–4331, Jul. 2017. -
8. Yiwei Zhang, Tao Zhang, Xin Wang and Gennian Ge
Invertible binary matrix with maximum number of 2-by-2 invertible submatrices ,
Discrete Mathematics, vol. 340, no. 2, pp. 201–208, 2017. -
7. Tao Zhang and Gennian Ge
Quantum codes derived from certain classes of polynomials ,
IEEE Transactions on Information Theory, vol. 62, no. 11, pp. 6638–6643, Nov. 2016. -
6. Tao Zhang and Gennian Ge
New results on codes correcting single error of limited magnitude for flash memory ,
IEEE Transactions on Information Theory, vol. 62, no. 8, pp. 4494–4500, Aug. 2016. -
5. Tao Zhang, Jerod Michel, Tao Feng, and Gennian Ge
On the existence of certain optimal self-dual codes with lengths between 74 and 116 ,
Electronic Journal of Combinatorics, vol. 22, no. 4, P4.33, 2015. -
4. Tao Zhang and Gennian Ge
Some new classes of quantum MDS codes from constacyclic codes ,
IEEE Transactions on Information Theory, vol. 61, no. 9, pp. 5224–5228, Sep. 2015. -
3. Tao Zhang and Gennian Ge
Fourth power residue double circulant self-dual codes ,
IEEE Transactions on Information Theory, vol. 61, no. 8, pp. 4243–4252, Aug. 2015. -
2. Sihuang Hu, Shuxing Li, Tao Zhang, Tao Feng, and Gennian Ge
New pseudo-planar binomials in characteristic two and related schemes ,
Designs, Codes and Cryptography, vol. 76, no. 2, pp. 345–360, 2015. -
1. Tao Zhang, Shuxing Li, Tao Feng, and Gennian Ge,
Some new results on the cross correlation of m-sequences ,
IEEE Transactions on Information Theory, vol. 60, no. 5, pp. 3062–3068, May 2014.