Research
Research Interests
Currently I am interested in algebraic and geometric combinatorics, and its applications in coding theory and cryptography, including, but not limited to,
Finite geometry;
Difference set;
Packing/covering/tiling of discrete groups;
Highly nonlinear function.
Publications
Selected Publications
with Christian Kaspers, The number of almost perfect nonlinear functions grows exponentially. Journal of Cryptology 34(1): 4 (37 pages), 2021. --arXiv
with Daniele Bartoli, Asymptotics of Moore exponent sets. Journal of Combinatorial Theory, Series A 175: 105281 (18 pages), October 2020. -->arxiv
with Ka Hin Leung, No lattice tiling of Z^n by Lee spheres of radius 2, Journal of Combinatorial Theory, Series A 171: 105157 (20 pages), April, 2020. -->arxiv
with Guglielmo Lunardon and Rocco Trombetti, Generalized twisted Gabidulin codes. Journal of Combinatorial Theory series A, 159: 79-106, 2018. -->arxiv
with Alexander Pott. A new family of semifields with 2 parameters. Advances in Mathematics, 234: 43--60, Feb. 2013. -->arxiv
A complete list of my publications.
Journals
Advances in Geometry, Advances in Mathematics, Advances in Mathematics of Communications, Combinatorica, Communications in Mathematical Research, Cryptography and Communications (3), Designs, Codes and Cryptography (7), Discrete Mathematics (4), Electronic Journal of Combinatorics (2), European Journal of Combinatorics, Finite Fields and Their Applications (2), Forum Mathematicum, IEEE Transaction on Information Theory (3), IEEE Transaction on Communications, Journal of Algebra, Journal of Algebraic Combinatorics (3), Journal of Combinatorial Designs (2), Journal of Combinatorial Theory Series A (5), Journal of Cryptology, Journal of Graph Theory, Linear Algebra and Its Applications (2), Proceedings of the AMS, Scientia Sinica Mathematica.
Coauthors
Daniele Bartoli, Francesco Belardo, Florian Caullery, Yeow Meng Chee, Xiao-tian Chen, Bence Csajbók, Ante Ćustić, Nicola Durante, Wei He, Xiang-dong Hou, Dieter Jungnickel, Christian Kaspers, Ka Hin Leung, Chao Li, Kang-quan Li, Giovanni Longobardi, Guglielmo Lunardon, Giuseppe Marino, Ferruh Özbudak, Olga Polverino, Alexander Pott, Long-jiang Qu, Kai-Uwe Schmidt, Yin Tan, Wei Tang, Vladimir Tonchev, Rocco Trombetti, Vedran Krcadinac, Ang Xiao, Xiao-dong Xu, Qi Wang, Tao Zhang, Zi-jian Zhou, Ferdinando Zullo
Plenary Speaker
On the number of inequivalent APN functions, BFA 2021, Rosendal, Norway / Hybrid, September 6-10, 2021.
Semifields, planar functions and MRD codes, LOOPS Conference 2019, Budapest, Hungary, July 7-13, 2019.
On the nonexistence of abelian Cayley graphs of diameter 2 meeting the Moore-like bound, The 17th Japan-Korea Workshop on Algebra and Combinatorics, Tokyo, Japan, January 28-29, 2019.
Hyperovals in Knuth’s binary semifield planes, Reinhold-Baer-Kolloquium, Magdeburg, Germany, May 21, 2016.