32 citations · 106 across the 23 of their papers we have counts for
24 papers
Packings of partial difference sets
Jonathan Jedwab, Shuxing Li
A packing of partial difference sets is a collection of disjoint partial difference sets in a finite group . This configuration has received considerable attention in design the…
Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application
Shuxing Li, Wilfried Meidl, Alexandr Polujan +3
For a function from to , the planarity of is usually measured by its differential uniformity and differential spectrum. In this paper, we p…
On the intersection distribution of degree three polynomials and related topics
Gohar Kyureghyan, Shuxing Li, Alexander Pott
The intersection distribution of a polynomial over finite field was recently proposed in Li and Pott (arXiv:2003.06678v1), which concerns the collective behaviou…
Intersection distribution, non-hitting index and Kakeya sets in affine planes
Shuxing Li, Alexander Pott
We propose the concepts of intersection distribution and non-hitting index, which can be viewed from two related perspectives. The first one concerns a point set of size …
Nonexistence of Strong External Difference Families in Abelian Groups of Order Being Product of At Most Three Primes
Ka Hin Leung, Shuxing Li, Theo Fanuela Prabowo
Let be a product of at most three not necessarily distinct primes. We prove that there exists no strong external difference family with more than two subsets in abelian group $…
A Direct Construction of Primitive Formally Dual Pairs Having Subsets with Unequal Sizes
Shuxing Li, Alexander Pott
The concept of formal duality was proposed by Cohn, Kumar and Schürmann, which reflects a remarkable symmetry among energy-minimizing periodic configurations. This formal duality w…
On the weight distribution of second order Reed-Muller codes and their relatives
Shuxing Li
The weight distribution of second order -ary Reed-Muller codes have been determined by Sloane and Berlekamp (IEEE Trans. Inform. Theory, vol. IT-16, 1970) for and by McEli…
Constructions of Primitive Formally Dual Pairs Having Subsets with Unequal Sizes
Shuxing Li, Alexander Pott
The concept of formal duality was proposed by Cohn, Kumar and Schürmann, which reflects a remarkable symmetry among energy-minimizing periodic configurations. This formal duality w…
Formal Duality in Finite Abelian Groups
Shuxing Li, Alexander Pott, Robert Schüler
Inspired by an experimental study of energy-minimizing periodic configurations in Euclidean space, Cohn, Kumar and Schürmann proposed the concept of formal duality between a pair o…
The Minimum Distance of Some Narrow-Sense Primitive BCH Codes
Shuxing Li
Due to wide applications of BCH codes, the determination of their minimum distance is of great interest. However, this is a very challenging problem for which few theoretical resul…
Linking systems of difference sets
Jonathan Jedwab, Shuxing Li, Samuel Simon
A linking system of difference sets is a collection of mutually related group difference sets, whose advantageous properties have been used to extend classical constructions of sys…
The Weight Hierarchy of a Family of Cyclic Codes with Arbitrary Number of Nonzeroes
Shuxing Li
The generalized Hamming weights (GHWs) are fundamental parameters of linear codes. GHWs are of great interest in many applications since they convey detailed information of linear…
Construction and nonexistence of strong external difference families
Jonathan Jedwab, Shuxing Li
Strong external difference families (SEDFs) were introduced by Paterson and Stinson as a more restrictive version of external difference families. SEDFs can be used to produce opti…
Constructions of Maximum Distance Separable Symbol-Pair Codes Using Cyclic and Constacyclic Codes
Shuxing Li, Gennian Ge
Symbol-pair code is a new coding framework which is proposed to correct errors in the symbol-pair read channel. In particular, maximum distance separable (MDS) symbol-pair codes ar…
A Family of Reversible BCH Codes
Shuxing Li, Cunsheng Ding, Hao Liu
Cyclic codes are an interesting class of linear codes due to their efficient encoding and decoding algorithms as well as their theoretical importance. BCH codes form a subclass of…
Parameters of two classes of LCD BCH codes
Shuxing Li, Chengju Li, Cunsheng Ding +1
Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had application in data storage. Due to a newly discovered application in cryptography, there has…
LCD Cyclic Codes over Finite Fields
Chengju Li, Cunsheng Ding, Shuxing Li
In addition to their applications in data storage, communications systems, and consumer electronics, LCD codes -- a class of linear codes -- have been employed in cryptography rece…
Narrow-Sense BCH Codes over $\gf(q)$ with Length
Shuxing Li, Cunsheng Ding, Maosheng Xiong +1
Cyclic codes over finite fields are widely employed in communication systems, storage devices and consumer electronics, as they have efficient encoding and decoding algorithms. BCH…
The Weight Hierarchy of Some Reducible Cyclic Codes
Maosheng Xiong, Shuxing Li, Gennian Ge
The generalized Hamming weights (GHWs) of linear codes are fundamental parameters, the knowledge of which is of great interest in many applications. However, to determine the GHWs…
On the Weight Distribution of Cyclic Codes with Niho Exponents
Shuxing Li, Tao Feng, Gennian Ge
Recently, there has been intensive research on the weight distributions of cyclic codes. In this paper, we compute the weight distributions of three classes of cyclic codes with Ni…
Some New Results on the Cross Correlation of -sequences
Tao Zhang, Shuxing Li, Tao Feng +1
The determination of the cross correlation between an -sequence and its decimated sequence has been a long-standing research problem. Considering a ternary -sequence of perio…
New pseudo-planar binomials in characteristic two and related schemes
Sihuang Hu, Shuxing Li, Tao Zhang +2
Planar functions in odd characteristic were introduced by Dembowski and Ostrom in order to construct finite projective planes in 1968. They were also used in the constructions of D…
Difference Sets with Few Character Values
Tao Feng, Sihuang Hu, Shuxing Li +1
The known families of difference sets can be subdivided into three classes: difference sets with Singer parameters, cyclotomic difference sets, and difference sets with gcd$(v,n)>1…
The Weight Distribution of a Class of Cyclic Codes Related to Hermitian Forms Graphs
Shuxing Li, Sihuang Hu, Tao Feng +1
The determination of weight distribution of cyclic codes involves evaluation of Gauss sums and exponential sums. Despite of some cases where a neat expression is available, the com…