**Nian Li**

Associate Professor

Faculty of Mathematics and Statistics

Hubei University, Wuhan, 430062, China

Email：[my first name][dot][my last name][at]hubu[dot]edu[dot]cn

## Short Biography

Nian Li received the B.S. and M.S. degrees in mathematics from Hubei Univesity, Wuhan, China, in 2006 and 2009 respectively, and received the Ph. D. degree in information security from Southwest Jiaotong University, Chengdu, China, in 2013.

From Sept. 2011 to Aug. 2013, he was a visiting Ph. D. student in the Department of Informatics, University of Bergen, Bergen, Norway. From 2014, he worked as a postdoc in the Department of Mathematics, the Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, and as a researcher in the Department of Informatics, University of Bergen, Norway. Currently, he is working as an associate professor in the Faculty of Mathematics and Statistics, Hubei University.

Nian Li's research interests include sequence design, coding theory and cryptography.

## Projects

1. July. 2018-June 2020, The study of several research problems on cryptographic functions with low differential uniformity, State Key Laboratory of Cryptology, Principal Investigator

2. Jan. 2018-Dec. 2020, The study of several research problems based on Niho-type exponents, National Science Foundation of China, Principal Investigator

3. Jan. 2017-Dec. 2018, The design of the nonlinear components in symmetrical ciphers, The Natural Science Foundation of Hubei Province of China, Principal Investigator

4. Jan. 2015-Jan. 2018, Discrete Functions and Their Application in Cryptography and Mathematics, Norwegian Research Council, Participant

5. Jan. 012-Dec. 2015, Construction of New Difference Balanced Function and Its Related Coding, National Science Foundation of China, Participant

6. Nov. 2011-Nov. 2012, Funds for the Excellent PH.D. Dissertation of Southwest Jiaotong University, Principal Investigator

7. Nov. 2011-Nov. 2012, Doctors Innovation Funds of Southwest Jiaotong University, Principal Investigator

**Papers**

1. **Nian Li**, Xiangyong Zeng*, A survey on the applications of Niho exponents, Cryptography and Communications, DOI https://doi.org/10.1007/s12095-018-0305-6

2. **Nian Li***, Qiaoyu Hu, A conjecture on permutation trinomials over finite fields of characteristic two, Advances in Mathematics of Communications, 13(3), (2019).

3. **Nian Li***, Tor Helleseth: New permutation trinomials from Niho exponents over finite fields with even characteristic, Cryptography and Communications, 11(1):129-136 (2019).

4. Gaofei Wu, **Nian Li***, Several classes of permutation trinomials over F_{5^n} from Niho exponent, Cryptography and Communications, 11(2): 313-324, 2019.

5. Gaofei Wu, **Nian Li**, Yuqing Zhang*, Xuefeng Liu, Several classes of negabent functions over finite fields, Science China Information Sciences, 61(3): 038102:1-038102:3 (2018).

6. Lilya Budaghyan*, Claude Carlet, Tor Helleseth, **Nian Li**, Bo Sun, On upper bounds for algebraic degrees of APN functions. IEEE Transactions on Information Theory, 64(6): 4399-4411 (2018).

7. **Nian Li***, Xiaohu Tang, Further results on the optimal sequence family IP_8 over 8-ary QAM Constellation, IEEE Transactions on Information Theory, 63(12): 7813-7820 (2017).

8. Yongbo Xia*, **Nian Li**, Xiangyong Zeng, Tor Helleseth, On the correlation distribution for a Niho decimation, IEEE Transactions on Information Theory, 63(11): 7206-7218 (2017).

9. **Nian Li***, Tor Helleseth, Several classes of permutation trinomials from Niho exponents. Cryptography and Communications, 9(6):693-705(2017).

10. **Nian Li***, On two conjectures about permutation trinomials over F_{3^{2k}}. Finite Fields and Their Applications, 47: 1-10 (2017).

11. Xiangyong Zeng, Xishun Zhu, **Nian Li***, Xianping Liu, Permutation polynomials over F_{2^n} of the form (x^2i+x+δ)^s1+(x^2i+x+δ)^s2+x. Finite Fields and Their Applications, 47: 256-268 (2017).

12. Yuan Chen, **Nian Li**, Xiangyong Zeng*, A class of binary cyclic codes with generalized Niho exponents, Finite Fields and Their Applications, 43: 123-140 (2017).

13. Lilya Budaghyan, Tor Helleseth, **Nian Li***, Bo Sun, Some results on the known classes of quadratic APN functions. Proceeding of the 2nd International conference in Codes, Cryptology and Information Security, April 10th to 12th, 2017, Rabat, Morocco, C2SI 2017: 3-16.

14. Yongbo Xia, **Nian Li**, Xiangyong Zeng, Tor Helleseth, An open problem on the distribution of a Niho type cross-correlation function, IEEE Transactions on Information Theory, 62(12): 7546-7554 (2016).

15. Chunming Tang*, **Nian Li**, Yanfeng Qi, Zhengchun Zhou, Tor Helleseth, Linear codes with two or three weights from weakly regular bent functions. IEEE Transactions on Information Theory, 62(3): 1166-1176 (2016).

16. Cuiling Fan*, **Nian Li**, Zhengchun Zhou, A class of optimal ternary cyclic codes and their duals. Finite Fields and Their Applications, 37: 193-202 (2016).

17. Maosheng Xiong*, **Nian Li**, Zhengchun Zhou, Cunsheng Ding, Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes. Designs, Codes and Cryptography, 78(3): 713-730 (2016).

18. Zhengchun Zhou, **Nian Li**, Cuiling Fan*, Tor Helleseth, Linear codes with two or three weights from quadratic bent functions. Designs, Codes and Cryptography, 81(2): 283-295 (2016).

19. Cunsheng Ding, Chunlei Li, **Nian Li**, Zhengchun Zhou*, Three-weight cyclic codes and their weight distributions. Discrete Mathematics, 339(2): 415-427 (2016).

20. Lilya Budaghyan*, Claude Carlet, Tor Helleseth, **Nian Li**, On the (non-)existence of APN (n,n)-functions of algebraic degree n. Proceedings of the 2016 IEEE International Symposium on Information Theory, IEEE: 480-484 (2016).

21. Maosheng Xiong, **Nian Li***, Optimal cyclic codes with generalized Niho-type zeros and the weight distribution. IEEE Transactions on Information Theory, 61(9): 4914-4922 (2015).

22. Gaofei Wu, **Nian Li**, Tor Helleseth, Yuqing Zhang*, Some classes of complete permutation polynomials over Fq. Science China Mathematics, 58(10): 1-14 (2015).

23. **Nian Li***, Xiaohu Tang, Tor Helleseth, A class of quaternary sequences with low correlation. Advances in Mathematics of Communications, 9(2): 199-210 (2015).

24. **Nian Li**, Zhengchun Zhou*, Tor Helleseth, On a conjecture about a class of optimal ternary cyclic codes. Proceedings of the seventh International Workshop on Signal Design and its Applications in Communications, IEEE: 62-65 (2015)

25. **Nian Li***, Xiaohu Tang, Tor Helleseth, New constructions of quadratic bent functions in polynomial forms, IEEE Transactions on Information Theory, 60(9): 5760-5767 (2014).

26. Chunlei Li*, **Nian Li**, Tor Helleseth, Cunsheng Ding, The weight distributions of several classes of cyclic codes from APN monomials. IEEE Transactions on Information Theory, 60(8): 4710-4721 (2014).

27. Zhengchun Zhou*, Cunsheng Ding, **Nian Li**, New families of codebooks achieving the Levenstein bound. IEEE Transactions on Information Theory, 60(11): 7382-7387 (2014).

28. **Nian Li***, Chunlei Li, Tor Helleseth, Cunsheng Ding, Xiaohu Tang, Optimal ternary cyclic codes with minimum distance four and five. Finite Fields and Their Applications, 30: 100-120 (2014).

29. Gaofei Wu, **Nian Li**, Tor Helleseth, Yuqing Zhang*, Some new classes of monomial complete permutation polynomials over finite fields of characteristic two. Finite Fields and Their Applications, 28: 148-165 (2014).

30. **Nian Li***, Xiaohu Tang, Tor Helleseth, New M-ary sequences with low autocorrelation from interleaved technique. Designs, Codes and Cryptography, 73(1): 237-249 (2014).

31. **Nian Li***, Tor Helleseth, Alexander Kholosha, Xiaohu Tang, On the Walsh transform of a class of functions from Niho exponents. IEEE Transactions on Information Theory, 59(7): 4662-4667 (2013).

32. **Nian Li***, Tor Helleseth, Xiaohu Tang, Alexander Kholosha, Several new classes of bent functions from Dillon exponents. IEEE Transactions on Information Theory, 59(3): 1818-1831 (2013).

33. **Nian Li**, Tor Helleseth, Xiaohu Tang*, Further results on a class of permutation polynomials over finite fields. Finite Fields and Their Applications, 22: 16-23 (2013).

34. Chunlei Li, **Nian Li**, Matthew G. Parker*, Complementary sequence pairs of type II and III. IEICE Trans. Fundamentals, E95-A(11): 1819-1826 (2012).

35. **Nian Li***, Xiaohu Tang, Tor Helleseth, New classes of generalized boolean bent functions over Z4. Proceedings of the 2012 IEEE International Symposium on Information Theory, MIT, Massachusetts, USA, IEEE: 841-845 (2012).

36. **Nian Li**, Xiaohu Tang*, On the linear complexity of binary sequences of period 4N with optimal autocorrelation value/magnitude. IEEE Transactions on Information Theory, 57(11): 7597-7604 (2011).

37. **Nian Li**, Xiaohu Tang*, Tor Helleseth, Several classes of codes and sequences derived from a Z4-valued quadratic form. IEEE Transactions on Information Theory, 57(11): 7618-7628 (2011).

38. **Nian Li**, Xiaohu Tang*, Xiangyong Zeng, Lei Hu, On the correlation distributions of optimal quaternary sequence family U and optimal binary sequence family V. IEEE Transactions on Information Theory, 57(6): 3815-3824 (2011).

39. Tor Helleseth*, Lei Hu, Alexander Kholosha, Xiangyong Zeng, **Nian Li**, Wenfeng Jiang, Period- different m-sequences with at most four-valued cross correlation. IEEE Transactions on Information Theory, 55(7): 3305-3311 (2009).

40. **Nian Li**, Xiangyong Zeng*, Lei Hu, Binary constant weight codes based on cyclic difference sets. IEICE Trans. Fundamentals, E91-A(5): 1288-1292 (2008).

41. Xiangyong Zeng*, **Nian Li**, Lei Hu, A class of nonbinary codes and sequence families. Proceedings of the fifth International Conference on Sequences and Their Applications, Kentucky, USA, LNCS 5203: 81-94 (2008).

42. Lei Hu*, Xiangyong Zeng, **Nian Li**, Wenfeng Jiang, Period-different m-sequences with at most four-valued cross correlation. Proceedings of the 11th IEEE Singapore International Conference on Communication Systems (ICCS 2008), Nov. 19th to 21st, 2008, Guangzhou, China, IEEE: 446-450 (2008).

# Activities

#

## Workshops

1. Organizing committee member of the workshops BFA-2017 and MMC

2. Technical Program Committee member of the workshops SETA-2018 and WAIFI-2018

## Talks

1. A survey on the applications of Niho exponents, The 2nd Workshop on Mathematical Theory Applied in Coding and Cryptography, Dec. 10-14, 2018, Sanya, China

2. Recent results on the cross correlations of m-sequences, Symbolic Computation and the 10th Computer Mathematics Conference, October 25-28, 2018, Wuhan, China

3. Two open problems on the cross correlations of m-sequences, The 9th International Workshop on Finite Fields and Their Applications, May 25-29, 2018, Shijiazhuang, China

4. Some recent progress in the applications of Niho exponents, The 2nd International Workshop on Boolean Functions and their Applications (BFA), July 3-8, 2017, Os, Norway

5. On upper bounds for algebraic degrees of APN functions, The workshop on nonlinear functions and their applications, April 14-16, 2017, Hubei University, Wuhan 430062, China

6. Permutation trinomials over the finite field Fq2: q even, April 12, 2017, South Central University for Nationalities, Wuhan 430074, China

7. On the (non-)existence of APN (n,n)-functions of algebraic degree n, IEEE International Symposium on Information Theory, pp. 480-484, Barcelona, Spain, July 10-15, 2016

8. Some Recent Results on Permutation Trinomials over Fq2, Norwegian - Slovakian Workshop, Feb 8-10, 2016, Bergen, Norway

## Workshops Attended

1. The Workshop of Mathematical Methods for Cryptography (MMC), September 4-8, 2017, Lofoten, Svolv?r, Norway

2. The 2nd International Workshop on Boolean Functions and their Applications (BFA-2017), July 3-8, 2017, Os, Norway

3. The workshop on nonlinear functions and their applications, April 14-16, 2017, Hubei University, Wuhan 430062, China

4. Arctic Crypt 2016, July 17-22, Longyearbyen, Svalbard, Norway

5. IEEE International Symposium on Information Theory, pp. 480-484, Barcelona, Spain, July 10-15, 2016

6. Norwegian - Slovakian Workshop, Feb 8-10, 2016, Bergen, Norway

7. The 11th International Conference on Finite Fields and Their Applications, otto-von-Guericke University, Germany, July 22-26, 2013

8. International Workshop on Coding and Cryptography, WCC 2013, University of Bergen, Bergen, Norway, April 15-19, 2013

9. International Workshop on Coding and Cryptography, Bergen, Norway, April 15-19, 2013

10. China 17th Symposium on Information Theory 2010, Xi'an, China, Nov. 12-14, 2010

11. International Conference on Coding Theory and Cryptography, Chengdu, China, Aug. 16-21, 2009

12. ChinaCrypt2008, Wuhan, China, Oct. 11-14, 2008

##

## Peer Reviewing

1. IEEE Transaction on Information Theory

2. Finite Field and Their Applications

3. Designs, Codes and Cryptography

4. Applicable Algebra in Engineering, Communication and Computing

5. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences

6. Journal of Combinatorial Theory, Series A

7. IET Information Security

8. IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

9. Theoretical Computer Science