research
∙
07/16/2023
The Extended Codes of Some Linear Codes
The classical way of extending an [n, k, d] linear code is to add an ov...
share
research
∙
07/09/2023
The extended codes of a family of reversible MDS cyclic codes
A linear code with parameters [n, k, n-k+1] is called a maximum distance...
research
∙
03/13/2023
Four infinite families of ternary cyclic codes with a square-root-like lower bound
Cyclic codes are an interesting type of linear codes and have wide appli...
research
∙
01/24/2023
Several families of ternary negacyclic codes and their duals
Constacyclic codes contain cyclic codes as a subclass and have nice alge...
research
∙
01/16/2023
Five infinite families of binary cyclic codes and their related codes with good parameters
Cyclic codes are an interesting type of linear codes and have wide appli...
research
∙
08/11/2022
Two Classes of Constacyclic Codes with Variable Parameters
Constacyclic codes over finite fields are a family of linear codes and c...
research
∙
07/15/2022
Infinite families of cyclic and negacyclic codes supporting 3-designs
Interplay between coding theory and combinatorial t-designs has been a h...
research
∙
07/05/2022
Two families of negacyclic BCH codes
Negacyclic BCH codes are a subclass of neagcyclic codes and are the best...
research
∙
07/05/2022
Several Families of Irreducible Constacyclic and Cyclic Codes
In this paper, several families of irreducible constacyclic codes over f...
research
∙
09/19/2021
On Infinite Families of Narrow-Sense Antiprimitive BCH Codes Admitting 3-Transitive Automorphism Groups and their Consequences
The Bose-Chaudhuri-Hocquenghem (BCH) codes are a well-studied subclass o...
research
∙
06/15/2021
The subfield codes and subfield subcodes of a family of MDS codes
Maximum distance separable (MDS) codes are very important in both theory...
research
∙
02/01/2021
The minimum linear locality of linear codes
Locally recoverable codes (LRCs) were proposed for the recovery of data ...
research
∙
01/21/2021
Some punctured codes of several families of binary linear codes
Two general constructions of linear codes with functions over finite fie...
research
∙
10/19/2020
The Projective General Linear Group PGL_2(GF(2^m)) and Linear Codes of Length 2^m+1
The projective general linear group PGL_2(GF(2^m)) acts as a 3-transitiv...
research
∙
10/06/2020
The construction and weight distributions of all projective binary linear codes
Boolean functions can be used to construct binary linear codes in many w...
research
∙
08/23/2020
The linear codes of t-designs held in the Reed-Muller and Simplex codes
A fascinating topic of combinatorics is t-designs, which have a very lon...
research
∙
08/03/2020
The Subfield Codes of [q+1, 2, q] MDS Codes
Recently, subfield codes of geometric codes over large finite fields (q)...
research
∙
07/12/2020
Shortened linear codes from APN and PN functions
Linear codes generated by component functions of perfect nonlinear (PN f...
research
∙
07/12/2020
Shortened Linear Codes over Finite Fields
The puncturing and shortening technique are two important approaches to ...
research
∙
04/10/2020
A Novel Application of Boolean Functions with High Algebraic Immunity in Minimal Codes
Boolean functions with high algebraic immunity are important cryptograph...
research
∙
01/04/2020
Optimal Binary Linear Codes from Maximal Arcs
The binary Hamming codes with parameters [2^m-1, 2^m-1-m, 3] are perfect...
research
∙
01/01/2020
An infinite family of linear codes supporting 4-designs
The first linear code supporting a 4-design was the [11, 6, 5] ternary G...
research
∙
10/18/2019
Infinite families of near MDS codes holding t-designs
An [n, k, n-k+1] linear code is called an MDS code. An [n, k, n-k] linea...
research
∙
07/30/2019
Codes, differentially δ-uniform functions and t-designs
Special functions, coding theory and t-designs have close connections an...
research
∙
07/30/2019
Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes
In this paper, the 3-rank of the incidence matrices of 2-designs support...
research
∙
01/26/2019
Steiner systems S(2, 4, 3^m-1/2) and 2-designs from ternary linear codes of length 3^m-1/2
Coding theory and t-designs have close connections and interesting inter...
research
∙
11/19/2018
Cyclic bent functions and their applications in codes, codebooks, designs, MUBs and sequences
Let m be an even positive integer. A Boolean bent function f on m-1× is ...
research
∙
06/20/2018
Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes with corrigendum
Cyclic codes are an important class of linear codes, whose weight distri...
research
∙
04/17/2018
The Subfield Codes of Hyperoval and Conic codes
Hyperovals in (2,(q)) with even q are maximal arcs and an interesting re...
research
∙
04/16/2018
The Subfield Codes of Ovoid Codes
Ovoids in (3, (q)) have been an interesting topic in coding theory, comb...
research
∙
03/27/2018
Minimal Linear Codes over Finite Fields
As a special class of linear codes, minimal linear codes have important ...
research
∙
02/10/2018
