Complete list of publications

Submitted

• with Zijian Zhou, Almost perfect linear Lee codes of packing radius 2 only exist for small dimensions, -->arxiv

• wit Ang Xiao, On the Packing density of Lee spheres.

To appear

• [51] with Kangquan Li and Daniele Bartoli, On the asymptotic classification of Kloosterman Polynomials. Proceedings of the American Mathematical Society.

2023

• [50] with Xiaodong Xu, On almost perfect linear Lee codes of packing radius 2, IEEE Transactions on Information Theory 69 (10): 6279-6292, Oct. 2023.  -->arxiv 

• [49] with Giovanni Longobardi, Giuseppe Marino and Rocco Trombetti, A large family of maximum scattered linear sets of PG(1,q^n) and their associated MRD codes. Combinatorica 43: 681–716, June 2023.   -->arxiv

• [48] with Wei He, On abelian Cayley graphs of diameter two and defect one. Journal of Algebraic Combinatorics 58: 137–156, June 2023.

• [47] with Wei Tang, Equivalence and automorphism groups of two families of maximum scattered linear sets (in Chinese). Scientia Sinica Mathematica 53: 279-300, 2023. (Submission by invitation to the special issue dedicated to the 80th birthday of Professor Lie Zhu) -->English Translation 

• [46] with Wei Tang and Ferdinando Zullo, On the automorphism groups of Lunardon-Polverino scattered linear sets. Discrete Mathematics 345(5): 113313 (19 pages), May 2023.  -->arXiv

2022

• [45] with Kangquan Li, Chunlei Li and Longjiang Qu, Two new families of quadratic APN functions. IEEE Transactions on Information Theory 68(7): pp.  4761 - 4769, July 2022.  -->arxiv

• [44] On the nonexistence of partial difference sets by projections to finite fields. Communications in Mathematical Research 38(2), pp. 123-135, May 2022. (Submission by invitation to the special issue: Designs, Codes, Graphs and Cryptography)

• [43] with Christian Kaspers, A lower bound on the number of inequivalent APN functions. Journal of Combinatorial Theory, Series A 186: 105554 (38 pages), February 2022.  -->arxiv

2021

• [42] with Christian Kaspers, The number of almost perfect nonlinear functions grows exponentially. Journal of Cryptology 34(1): 4 (37 pages), 2021.  --arXiv

2020

• [41] with Daniele Bartoli, Asymptotics of Moore exponent sets. Journal of Combinatorial Theory, Series A 175: 105281 (18 pages), October 2020.  -->arxiv

• [40] with Bence Csajbók, Giuseppe Marino and Olga Polverino, MRD codes with maximum idealizers, Discrete Mathematics 343(9): 111985 (16 pages), September, 2020. -->arxiv

• [39] On equivalence of maximum additive symmetric rank-distance codes, Designs, Codes and Cryptography 88: 841–850, 2020

• [38] with Giovanni Longobardi, Guglielmo Lunardon and Rocco Trombetti, Automorphism groups and new constructions of maximum additive rank metric codes with restrictions, Discrete Mathematics 343(7): 111871 (15 pages), July, 2020. -->arxiv

• [37] with Kangquan Li and Longjiang Qu,  A Link between Two Classes of Permutation Polynomials, Finite Fields and Their Applications 63: 101641 (17 pages), 2020.

• [36] 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

• [35] with Tao Zhang, New lower bounds for partial k-parallelisms, Journal of Combinatorial Designs 28(1): 75-84, 2020. -->arxiv

2019

• [34] with Chao Li and Zhe Gao, Upper bounds and constructions of asynchronous channel hopping systems, Cryptography and Communications 11(2): 299–312, March 2019. 

• [33] with Rocco Trombetti, Nuclei and automorphism groups of Generalized twisted Gabidulin Codes, Linear Algebra and its Applications, 575: 1-16, 2019. -->arxiv

• [32] with Tao Zhang, On the nonexistence of linear perfect Lee codes, Journal of Combinatorial Theory series A, 165: 225-257, 2019.  -->arxiv

• [31] with Rocco Trombetti, A new family of MRD codes in F_q^{2n×2n} with middle and right nuclei F_q^n, IEEE Transaction on Information Theory, 65(2): 1054-1062, 2019.  -->arxiv 

2018

• [30] with Kai-Uwe Schmidt, On the number of inequivalent Gabidulin codes. Designs, Codes and Cryptography, 86(9):1973–1982, 2018. -->arxiv 

• [29] with Guglielmo Lunardon and Rocco Trombetti, Generalized twisted Gabidulin codes.  Journal of Combinatorial Theory series A, 159: 79-106, 2018.  -->arxiv

• [28] with Daniele Bartoli, Exceptional Scattered Polynomials. Journal of Algebra 509(1): 507-534, 2018.  -->arxiv

• [27] A note on commutative semifield planes. Advances in Geometry 18(1): 115-118, 2018. -->PDF

• [26] with Dieter Jungnickel and Vladimir Tonchev, Extension Sets, Affine Designs, and Hamada's Conjecture. Designs, Codes and Cryptography 86(3):587-610, 2018.

2017

• [25] with Guglielmo Lunardon and Rocco Trombetti, On kernels and nuclei of rank metric codes.  Journal of Algebraic Combinatorics 42(2): 313-340, 2017. -->arxiv

• [24] with Rocco Trombetti, Unitals in shift planes of odd order. Forum Mathematicum 29(4): 958-1002, 2017.-->arxiv

• [23] Multiple factorizations of cyclic groups. Discrete Mathematics 340(7): 1581-1583, 2017.

• [22] with Alexander Pott, Cayley graphs of diameter two from difference sets. Journal of Graph Theory 85(2): 533-544, 2017. -->arxiv

• [21] with Long-jiang Qu, Constructions of Nega-bent functions over finite fields. Cryptography and Communications 9(2): 165-180, 2017.  -->PDF

• [20] with Nicola Durante and Rocco Trombetti, Hyperovals in Knuth's binary semifield planes. European Journal of Combinatorics 62: 77-91, 2017. -->arxiv

• [19] with Xiaotian Chen, Asynchronous Channel Hopping systems from Difference Sets. Designs, Codes and Cryptography 83(1): 179-196, 2017.

2016

• [18] with Florian Caullery and Kai-Uwe Schmidt, Exceptional planar polynomials. Designs, Codes and Cryptography 78(3): 605-613, 2016. -->arxiv

• [17] with Francesco Belardo, Signed Graphs with extremal least Laplacian eigenvalue. Linear Algebra and its Applications 497: 167-180, 2016.

• [16] with Rocco Trombetti, On the 2-ranks of a class of unitals. Finite Fields and their Applications 40: 90-109, 2016. -->arxiv

• [15] with Alexander Pott and Kai-Uwe Schmidt, Pairs of quadratic forms over finite fields. Electronic Journal of Combinatorics 23(2) #P2.8, 2016. -->link

• [14] with Xiang-dong Hou and Ferruh Özbudak, Switchings of semifield multiplications. Designs, Codes and Cryptography 80(2): 217-239, 2016. -->arxiv

2015

• [13] Parabolic unitals in a family of commutative semifield planes. Discrete Mathematics 338(8): 1300-1306, 2015.

• [12] with Ante Custic and Vedran Krcadinac, Tiling groups with difference sets. Electronic Journal of Combinatorics 22(2) #P2.56, 2015.

2014

• [11] with Qi Wang. Sets of zero-difference balanced functions and their applications, Advances in Mathematics of Communications (AMC) vol. 18 (1): 83-101, 2014.

• [10] with Alexander Pott and Kai-Uwe Schmidt, Semifields, relative difference sets and bent functions. Proceedings of the RICAM worshop "Emerging applications of finite fields", DeGruyter, 2014.  -->arxiv

• [9] with Kai-Uwe Schmidt, Planar functions over finite fields of characteristic 2, Journal of Algebraic Combinatorics. vol. 40 (2): 503-526, 2014.

2013

• [8] with Alexander Pott. CCZ and EA Equivalence between Mappings over Finite Abelian Groups. Designs, Codes and Cryptography, 66(1-3):099--109, Jan. 2013.

• [7] with Alexander Pott. A new family of semifields with 2 parameters. Advances in Mathematics, 234: 43--60, Feb. 2013. -->arxiv

• [6] (2^n,2^n,2^n,1)-relative difference sets and their representations. Journal of Combinatorial Designs 21(12): 563-584, Dec. 2013 -->arxiv

2012

• [5] with Alexander Pott and Qi Wang. Sequences and functions derived from projective planes and their difference sets. In F. Özbudak and F. Rodríguez-Henríquez, editors, Arithmetic of Finite Fields, volume 7369 of Lecture Notes in Computer Science, page 64--80. Springer Berlin / Heidelberg, 2012.

2011

• [4] with Alexander Pott. A character theoretic approach to planar functions. Cryptography and Communications 4:293-300, December 2011. -->PDF

• [3] with Tian Peng Ren, Yong Liang Guan, Chau Yuen and Er Yang Zhang. Optimization of Fast-Decodable Full-Rate STBC with Non-Vanishing Determinants. 2063-2069, IEEE Transactions on Communications 59(8),2011.

2010

• [2] with Alexander Pott. Switching construction of planar functions on finite fields. In Proceedings of the Third international conference on Arithmetic of finite fields (WAIFI'10), M. Anwar Hasan and Tor Helleseth (Eds.). Springer-Verlag, Berlin, Heidelberg, 135--150, 2010.

• [1] with Yeow Meng Chee and Yin Tan. Almost p-ary perfect sequences. In Proceedings of the 6th international conference on Sequences and their applications (SETA'10), Claude Carlet and Alexander Pott (Eds.). Springer-Verlag, Berlin, Heidelberg, 399--415, 2010.

PhD Thesis

• [*] Difference sets from projective planes -->PDF

Unpublished Notes

• A note on the isotopism of commutative semifields. arXiv preprint arXiv:1006.1529.