Brief Introduction of LIU, Hongwei -华中师范大学数学学院中文站

Brief Introduction of LIU, Hongwei

Chinese Version (中文版)

职称
办公室M516, Math. Building
邮箱hwliu@mail.ccnu.edu.cn

Personal Introduction

Name: Hongwei LIU, Professor                                                               
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China                                                               
E-mail:   hwliu@mail.ccnu.edu.cn, hwliu@ccnu.edu.cn

Education

Ph.D. Mathematics,Wuhan University, 2003. Dissertation: On the Hamming hierarchies of linear codes and some questions of integral table algebra codes. Advisor: Professor Yun Fan.                                                               
M.A. Mathematics, Wuhan University, 2000.                                                               
B.A. Mathematics, Hubei University, 1992.

Research Field?

My research interest is algebraic coding theory.                                                                 
                                                        
We have done some research on codes over finite rings and finite fields.  We generalized a fundamental result of equivalence of codes to the case of generalized Hamming weights. We studied generalized Hamming equiweight linear codes and constructions of self-dual codes over finite rings; we generalized matrix product codes to any finite co mmutative Frobenius rings and studied their structures and different lower bounds with different types.                                                               
Currently, we are doing some research on classifying constacyclic codes over finite fields, minimal cyclic codes and the existence conditions of cyclic codes and negacyclic codes over finite fields.                                                               

A link to the first Sino-Korea International Conference on Coding Theory and Related Topics.                                                                   http://conf.ccnu.edu.cn/~lhw/ 

A link to the Second Korea-Sino International Conference on Coding Theory and Related Topics.                                                                 http://math.postech.ac.kr/new/conferences/view/292 
                                                        
A link to the Fourth Sino-Korea International Conference on Coding Theory and Related Topics.                                                     https://camp.nims.re.kr/activities/eventpages/?id=207812&action=overview
 

A link to the Fifth Sino-Korea International Conference on Coding Theory and Related Topics:

http://math.shu.edu.cn/2018sino-koreacoding/

Academic Visit

Publication

58. H. Liu J. Liu, On $\sigma$-self-orthogonal constacyclic codes over $F_{p^m} + uF_{p^m}$, published online in Advances in Mathematics of Communications, http://dx.doi.org/10.3934/amc.2020127, 2020.

57. H.Q.Dinh, X. Wang, H. Liud, W.Yamaka,Hamming distances of constacyclic codes of length 3psand optimal codes with respect to the Griesmer and Singleton bounds,Finite Fields and Their Applications, Vol.70, 101794,2021.

56. H. Liu, S. Liu, Construction of MDS twisted Reed–Solomon codes and LCD MDS codes, Des. Codes Cryptogr., Vol.89, 2051-2065, 2021.

55. H. Liu, J. Liu, Non-invertible-element constacyclic codes over finite PIRs, Finite Fields and Their Applications, Vol.75, 101878,2021.

54. H. Dinh, X. Wang, H. Liu, S.Sriboonchitta,On the $b$-distance of repeated-root constacyclic codes of prime power lengths,Discrete Mathematics, Vol.343, 111780, 2020.

53. G. Zhang, H. Liu, Constructions of optimal codes with hierarchical locality,IEEE Transactions on Information Theory, Vol.66, 7333-7340, 2020.

52. H. Liu, J. Ouyang, X. Wang, Constructions of several classes of linear codes with a few weights, Discrete Mathematics, Vol.343, 112108, 2020.

51. X. Fang, K, Lebed, H. Liu, J, Luo, New MDS self-dual codes over finite fields of odd characteristic, Des. Codes Cryptogr., Vol. 88,1127–1138, 2020.

50. A. Cherchem, A. Jamous, H. Liu, Y. Maouche, Some new results on dimension and Bose distance for various classes of BCH codes, Finite Fields and Their Applications,Vol.65, 101673,2020.

49. H. Liu, J. Liu, Homogeneous metric and matrix product codes over finite commutative principal ideal rings, Finite Fields and Their Applications, Vol.64,101666, 2020.

48. H. Liu, X. Pan, Galois hulls of linear codes over finite fields, Des. Codes Cryptogr., Vol.88, 241-255, 2020.

47. H.Q. Dinh, X. Wang, H. Liu, S. Sriboonchitta, On the $b$-distance of repeated-root constacyclic codes of prime power lengths, Discrete Mathematics, Vol. 343, 2020.

46. K. Lebed, H. Liu, J. Luo, Construction of MDS self-dual codes over finite fields, Finite Fields and Their Applications, Vol.59, 199-207, 2019.

45. H. Liu, Y. Maouche, Two or few-weight trace codes over $F_{q}+uF_{q}$, IEEE Transactions on Information Theory, Vol.65, 2696-2703, 2019.

44. H. Liu,Y. Maouche, Several new classes of linear codes with few weights,Cryptography and Communications, Vol.11, 137-146, 2019.

43. H.Q. Dinh, X. Wang, H. Liu, S. Sriboonchitta, On the symbol-pair distances of repeated-root constacyclic
codes of length $2p^s$, Discrete Mathematics, Vol.342, 3062-3078, 2019

42. B. Chen, H. Liu, Constructions of cyclic constant dimension codes, Des. Codes Cryptogr., Vol. 86, 1267-1279, 2018.

41. H. Liu, X.Wang, D. Zheng, On the weight distributions of a class of cyclic codes,  Discrete Mathematics, Vol. 341, 759-771, 2018.

40. B. Chen, H. Liu, New constructions of MDS codes with complementary duals, IEEE Transactions on Information Theory, Vol. 64(8), 5776-5782, 2018.

39. X. Wang, D. Zheng, H. Liu, Several classes of linear codes and their weight distributions,Applicable Algebra in Engineering, Communication and Computing, https://doi.org/10.1007/s00200-018-0359-x.

38. B. Chen, L. Lin, H. Liu, Constacyclic symbol-pair codes: lower bounds and optimal constructions, IEEE Transactions on Information Theory, Vol. 63(12), 7661-7666, 2017.

37. H. Liu,Y. Maouche, Some repetaed-root of constacyclic codes over Galois rings, IEEE Transactions on Information Theory, Vol. 63(10), 6247-6255, 2017.

36. H. Dinh, H. Liu, X. Liu,J. Sriboonchitta, On structure and distances of some classes of repeated-root constacyclic codes over Galois rings, Finite Fields and Their Applications, Vol. 43, 86-105, 2017.

35. B. Chen, L. Lin,S. Ling, H. Liu, G. Zhang, Three new classes of optimal frequency-hopping sequence sets, Des. Codes Cryptogr.,Vol.83,219-232, 2017. 
             
34. S. T. Dougherty, H. Liu, L. Yu, One weight $Z_2Z_4$-additive codes,Applicable Algebra in Engineering, Communication and Computing, Vol.27, 123-138, 2016. 
             
33. B. Chen,  H.Dinh, H. Liu, L. Wang, Constacyclic codes of length $2p^s$ over $F_{p^m}+uF_{p^m}$, Finite Fields and Their Applications, Vol. 37, 108-130, 2016. 

32. L. Yu,  H. Liu, The weight distribution of a family of $p$-ary cyclic codes, Des. Codes Cryptogr.,Vol.78, 731-745, 2016.

31. L. Yu,  H. Liu, A class of $p$-ary cyclic codes and their weight enumerators, Advances in Mathematics of Communications, Vol.10(2), 437-457, 2016.

30. L. Yu, H. Liu, D. Zheng, On more bent functions from Dillon exponents, Applicable Algebra in Engineering, Communication and Computing, Vol.26, 389-408, 2015.

29. B. Chen, H. Q. Dinh, H. Liu, Repeated-root constacyclic codes of length $2l^m p^n$ and their duals, Finite Fields and Their Applications, Vol. 33, 137-159, 2015.

28. B. Chen, H. Liu, G. Zhang, A class of minimal cyclic codes over finite fields, Des. Codes Cryptogr., Vol. 74, 285–300, 2015.

27. L. Lin, H. Liu, B. Chen, Existence conditions for self-orthogonal negacyclic codes over Finite Fields, Advances in Mathematics of Communications, Vol. 9, 1-7, 2015. 

26. D. Zheng, X. Wang, L. Yu,  H. Liu, The weight enumerators of several classes of $p$-ary cyclic codes, Discrete Mathematics, Vol. 338, 1264-1276, 2015.

25. L. Lin, B. Chen,  H. Liu, A note on the weight distribution of some cyclic codes, Finite Fields and Their Applications, Vol. 35, 78-85, 2015. 

24. B. Chen, H. Q. Dinh, H. Liu, Repeated-root constacyclic codes of length $\ell p^s$ and their duals,  Discrete Applied Mathematics, Vol.177, 60-70, 2014. 

23. Y. Fan, S. Ling, H. Liu, Homogeneous weights of matrix product codes over finite principal ideal rings, Finite Fields and Their Applications, Vol. 29, 247-267, 2014. 

22. B. Chen, H. Liu, G. Zhang, Some minimal cyclic codes over finite fields,  Discrete Mathematics, Vol. 331, 142-150, 2014.

21. Y. Fan, S. Ling, H. Liu, Matrix product codes over finite commutative Frobenius rings, Des. Codes Cryptogr., Vol. 71(2), 201–227, 2014.

20. G. Zhang, H. Liu, Self-dual permutation codes over formal power series rings and finite principal ideal rings, Acta Mathematica Scientia (Series B), Vol. 33(6), 1695-1710, 2013.

19. S. Jitman, S. Ling, H. Liu, X. Xie, Abelian codes in principal ideal group algebras, IEEE Transactions on Information Theory, Vol. 59(5), 3046-3058, 2013.

18. B. Chen, L. Lin, H. Liu, Matrix product codes with Rosenbloom-Tsfasman metric,  Acta Mathematica Scientia (Series B), Vol. 33(3), 687-700, 2013.

17. Y. Choie, S. T. Dougherty, H. Liu, Jacobi forms and Hilbert-Siegel modular forms over totally real fields and self-dual codes over polynomial rings $Z_2m[x]/g(x)$, Ars Combinatoria, Vol. 107, 141-160, 2012. 

16. B. Chen, Y. Fan, L. Lin, H. Liu, Constacyclic Codes over Finite Fields, Finite Fields and Their Applications, Vol. 18, 1217-1231, 2012.

15. S. T. Dougherty, S. Han, H. Liu, Higher weights for codes over rings, Applicable Algebra in Engineering, Communication and Computing, Vol.22(2),113-135, 2011.

14.S. T. Dougherty，H. Liu, Cyclic codes over formal power series rings, Acta Mathematica Scientia (English version), Vol.31B(1), 331-343, 2011.

13. S. T. Dougherty, H. Liu, Y. H. Park, Lifted codes over finite chain rings, Mathematical Journal of Okayama University, Vol.53, 39-53, 2011.

12.  H. Liu, Linear codes over finite chain rings, Ars Combiantoria，Vol.95, 511-529, 2010.

11. S. T. Dougherty, J.-L. Kim, H. Liu, Constructions of self-dual codes over finite commutative chain rings, Int. J. Information and Coding Theory, Vol. 1(2), 171-190, 2010.

10. Y. Fan, H. Liu, Homogeneous weights over finite rings and Mobius function (in Chinese)，Chinese Annals of Mathematics (Chinese version)(数学年刊), Vol.31A(3),355-364, 2010.

9. S. T. Dougherty, J.-L. Kim, H. Kulosman，H. Liu, Self-dual codes over commutative Frobenius rings, Finite Fields and Their Applications, Vol.16(1), 14-26, 2010.

8. S. T. Dougherty,H. Liu, Type II codes over finite rings, Science China (Mathematics), Vol.53(1), 203-212，2010.

7. S. T. Dougherty,H. Liu, Independence of vectors in codes over rings, Des. Codes Cryptogr., Vol. 51(1), 55-68，2009.

6. H. Liu，Generalized Hamming weights and semi-linear equivalence of codes (in Chinese)，Acta Mathematica Scientia (Chinese version), Vol. 26(5),766-772, 2006.

5. Y. Fan, H. Liu, On self-orthogonal integral table algebra codes (in Chinese), Advance in Mathematics (China)(数学进展), Vol.33 (4), 467-470, 2004.

4. Y. Fan, H. Liu, L. Puig, Generalized Hamming weights and equivalences of codes, Science in China (Series A), Vol. 46(5), 690-695, 2003.

3. Y. Fan, H. Liu, Generalized Hamming equiweight linear codes (in Chinese), Chinese Journal of Electronics(电子学报)，Vol. 31(10), 1591-1593, 2003.

2. H. Liu, F. Yi, On the Hamming hierarchies of outer product codes, Mathematica Applicata (应用数学), Vol. 15(4), 128-133, 2002.

1. Y. Fan, H. Liu, Equidistant linear codes and maximal projective codes (in Chinese), Journal of China Institute of Communications (通信学报), Vol. 22 (6), 48-52, 2001.


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59. Y. Fan, S. Ling, H. Liu, J. Shen, C. Xing, Cumulative Distance Enumerators of Random Codes and their Thresholds; http://arxiv.org/abs/1212.5679.

60. H. Liu, Y. Maouche, A Note on Hamming distance of constacyclic codes of length $p^s$ over $F_{p^m} + uF_{p^m}$, submitted.

61. Y. Fu, H. Liu, Galois self-orthogonal constacyclic codes over finite fields, submitted.

62. Y. Li, H. Liu, Cyclic subspace codes via the sum of Sidon spaces, submitted.

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Brief Introduction of LIU, Hongwei

Chinese Version (中文版)