23 citations · 141 across the 48 of their papers we have counts for
13 papers · 1 filter
Full Characterization of Minimal Linear Codes as Cutting Blocking Sets
Chunming Tang, Yan Qiu, Qunying Liao +1
In this paper, we first study in detail the relationship between minimal linear codes and cutting blocking sets, which were recently introduced by Bonini and Borello, and then comp…
Infinite families of near MDS codes holding -designs
Cunsheng Ding, Chunming Tang
An linear code is called an MDS code. An linear code is said to be almost maximum distance separable (almost MDS or AMDS for short). A code is said to…
Minimal linear codes from characteristic functions
Sihem Mesnager, Yanfeng Qi, Hongming Ru +1
Minimal linear codes have interesting applications in secret sharing schemes and secure two-party computation. This paper uses characteristic functions of some subsets of $\mathbb{…
Codes, differentially -uniform functions and -designs
Chunming Tang, Cunsheng Ding, Maosheng Xiong
Special functions, coding theory and -designs have close connections and interesting interplay. A standard approach to constructing -designs is the use of linear codes with c…
Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes
Cunsheng Ding, Chunming Tang, Vladimir D. Tonchev
In this paper, the 3-rank of the incidence matrices of 2-designs supported by the minimum weight codewords in a family of ternary linear codes considered in [C. Ding, C. Li, Infini…
Codebooks from generalized bent -valued quadratic forms
Yanfeng Qi, Sihem Mesnager, Chunming Tang
Codebooks with small inner-product correlation have application in unitary space-time modulations, multiple description coding over erasure channels, direct spread code division mu…
Infinite families of 3-designs from APN functions
Chunming Tang
Combinatorial -designs have nice applications in coding theory, finite geometries and several engineering areas. The objective of this paper is to study how to obtain -design…
Infinite families of -designs from two classes of binary cyclic codes with three nonzeros
Xiaoni Du, Rong Wang, Chunming Tang +1
Combinatorial -designs have been an interesting topic in combinatorics for decades. It is a basic fact that the codewords of a fixed weight in a code may hold a -design. Till…
Infinite families of -designs from two classes of linear codes
Xiaoni Du, Rong Wang, Chunming Tang +1
The interplay between coding theory and -designs has attracted a lot of attention for both directions. It is well known that the supports of all codewords with a fixed weight in…
Combinatorial -designs from special polynomials
Cunsheng Ding, Chunming Tang
Combinatorial -designs have nice applications in coding theory, finite geometries and several engineering areas. There are two major methods of constructing -designs. One of…
A class of narrow-sense BCH codes over of length
Xin Ling, Sihem Mesnager, Yanfeng Qi +1
BCH codes with efficient encoding and decoding algorithms have many applications in communications, cryptography and combinatorics design. This paper studies a class of linear code…
On the boomerang uniformity of (quadratic) permutations over
Sihem Mesnager, Chunming Tang, Maosheng Xiong
At Eurocrypt'18, Cid, Huang, Peyrin, Sasaki, and Song introduced a new tool called Boomerang Connectivity Table (BCT) for measuring the resistance of a block cipher against the boo…
Steiner systems and -designs from ternary linear codes of length
Chunming Tang, Cunsheng Ding, Maosheng Xiong
Coding theory and -designs have close connections and interesting interplay. In this paper, we first introduce a class of ternary linear codes and study their parameters. We the…