PERSONAL INFORMATION
Name: Hongwei LIU, Professor
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
E-mail:
hwliu@mail.ccnu.edu.cn,
h_w_liu@aliyun.com,
hwliu.ccnu@yahoo.com
Phone: 86-27-67868075
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 INTERESTS AND CURRENT RESEARCH WORKS
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/
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1. H. Liu,Y. Maouche, Several new classes of linear codes with few weights,Cryptography and Communications, accepted.
2. B. Chen, H. Liu, Constructions of cyclic constant dimension codes, Des. Codes Cryptogr.,Vol. 86, 1267-1279,2018.
3. H. Liu, X.Wang, D. Zheng, On the weight distributions of a class of cyclic codes, Discrete Mathematics, Vol. 341, 759-771, 2018.
4. B. Chen, H. Liu, New constructions of MDS codes with complementary duals, IEEE Transactions on Information Theory, Vol. 64(8), 5776-5782,2018.
5. 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.
6. 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.
7. H. Liu,Y. Maouche, Some repetaed-root of constacyclic codes over Galois rings, IEEE Transactions on Information Theory, Vol. 63(10), 6247-6255,2017.
8. 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.
9. 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.
10. 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.
11. 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.
12. L. Yu, H. Liu, The weight distribution of a family of $p$-ary cyclic codes, Des. Codes Cryptogr.,Vol.78, 731-745, 2016.
13. 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.
14. 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.
15. 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.
16. B. Chen, H. Liu, G. Zhang, A class of minimal cyclic codes over finite fields, Des. Codes Cryptogr., Vol. 74, 285–300, 2015.
17. 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.
18. 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.
19. 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.
20. 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.
21. 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.
23. Y. Fan, S. Ling, H. Liu, Matrix product codes over finite commutative Frobenius rings, Des. Codes Cryptogr., Vol. 71(2), 201–227, 2014.
24. 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.
25. 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.
26. B. Chen, L. Lin, H. Liu, Matrix product codes with Rosenbloom-Tsfasman metric, Acta Mathematica Scientia (Series B), Vol. 33(3), 687-700, 2013.
27. 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.
28. B. Chen, Y. Fan, L. Lin, H. Liu, Constacyclic Codes over Finite Fields, Finite Fields and Their Applications, Vol. 18, 1217-1231,2012.
29. 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.
30．S. T. Dougherty，H. Liu, Cyclic codes over formal power series rings, Acta Mathematica Scientia (English version), Vol.31B(1), 331-343, 2011.
31．S. T. Dougherty, H. Liu, Y. H. Park, Lifted codes over finite chain rings, Mathematical Journal of Okayama University, Vol.53, 39-53, 2011.
32. H. Liu, Linear codes over finite chain rings, Ars Combiantoria，Vol.95, 511-529, 2010.
33．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.
34．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.
35．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.
36．S. T. Dougherty,H. Liu, Type II codes over finite rings, Science China (Mathematics), Vol.53(1), 203-212，2010.
37．S. T. Dougherty,H. Liu, Independence of vectors in codes over rings, Des. Codes Cryptogr., Vol. 51(1), 55-68，2009.
38. H. Liu，Generalized Hamming weights and semi-linear equivalence of codes (in Chinese)，Acta Mathematica Scientia (Chinese version), Vol. 26(5),766-772, 2006.
39. 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.
40. Y. Fan, H. Liu, L. Puig, Generalized Hamming weights and equivalences of codes, Science in China (Series A), Vol. 46(5), 690-695, 2003.
41. 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.
42. H. Liu, F. Yi, On the Hamming hierarchies of outer product codes, Mathematica Applicata (应用数学), Vol. 15(4), 128-133, 2002.
43. 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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44. 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.
45. H. Liu, Y. Maouche, A Note on Hamming distance of constacyclic codes of length $p^s$ over $F_{p^m} + uF_{p^m}$, submitted.
46. H. Liu, Y. Maouche, Two or few-weight trace codes over $F_{q}+uF_{q}$, submitted.
47. H. Liu, J.Liu, $\sigma$-self-orthogonal constacyclic codes of length $p^s$ over $\mathbb F_{p^m}+u\mathbb F_{p^m}$, submitted.
48. H. Liu, X.Pan, Galois hulls of linear codes over finite fields, submitted.
49. A. Cherchem, A.Jamous, H. Liu, Y.Maouche, Some new results on dimension and Bose distance for various classes of BCH codes, submitted.
SOME ACADEMIC VISITS (Overseas)
1. October 18---November 17, 2018. Sinior visiting fellow, Kent State University, USA.
2. October 29---October 31, 2018, Ohio University, USA.
3. May 19---May 25, 2018, Visiting professor, Hong Kong University of Sciences and Technology, Hong Kong, China.
4. July 17---July 21, 2017. The 4th Sino-Korea International Conference on Coding Theory and Related Topics, NIMS, Daejeon, Korea, invited speaker and Chinese co-organizer(with Professor Rongquan Feng).
5. Janurary 12---Janurary 15,2016. Invited speaker, International Workshop on Number Theory and Coding Theory, KAIST, Pusan, Korea.
6. November 22---December 12, 2015. Visiting professor, Hong Kong University of Sciences and technology, Hong Kong, China.
7. January 18---January 23, 2015. The Second Korea-Sino International Conference on Coding Theory and Related Topics, POSTECH, Pohang, Korea, Chinese organizer and speaker.
8. August 10---August 13, 2014. Invited speaker, Ewha Womans University, ICM 2014 Satellite Conference on Algebraic Coding Theory, Seoul, Korea.
9. December 18,2013---February 28, 2014. Visiting professor, University of Scranton, USA.
10.November 8---November 15, 2012, Korea Insititute for Advanced Study, and Sogang University, Korea, invited speaker.
11. August 2011---November 2011, Visiting professor, Nanyang Technological University, Singapore.
12. August 2007--- August 2008, Visiting scholar, University of Scranton, USA.
