17 citations · 74 across the 13 of their papers we have counts for
13 papers
Weight hierarchies of 3-weight linear codes from two -ary quadratic functions
Xiumei Li, Fei Li
The weight hierarchy of a linear code has been an important research topic in coding theory since Wei's original work in 1991. Choosing $ D=\Big\{(x,y)\in \Big(\F_{p^{s_1}}\times\F…
Weight hierarchies of three-weight -ary linear codes from inhomogeneous quadratic forms
Shupeng Hu, Fei Li, Xiumei Li
The weight distribution and weight hierarchy of a linear code are two important research topics in coding theory. In this paper, choosing $ D=\Big\{(x,y)\in \Big(\F_{p^{s_1}}\times…
Weight hierarchies and weight distributions of a familiy of -ary linear codes
Fei Li, Xiumei Li
The weight distribution and weight hierarchy of linear codes are two important research topics in coding theory. In this paper, by choosing proper defining sets from inhomogeneous…
Weight distributions of several families of 3-weight binary linear codes
Fei Li, Xiumei Li
The linear codes with a few weights have been applied widely in combinatorial designs, secret sharing, association schemes, authentication codes and strongly regular graphs. In thi…
Weight distributions and weight hierarchies of two classes of binary linear codes
Fei Li, Xiumei Li
Linear codes with a few weights can be applied to communication, consumer electronics and data storage system. In addition, the weight hierarchy of linear codes has many applicatio…
Weight hierarchies of a family of linear codes associated with degenerate quadratic forms
Fei Li, Xiumei Li
We restrict a degenerate quadratic form over a finite field of odd characteristic to subspaces. Thus, a quotient space related to is introduced. Then we get a non-degenerat…
Weight hierarchy of a class of linear codes relating to non-degenerate quadratic forms
Fei Li
In this paper, we discuss the generalized Hamming weights of a class of linear codes associated with non-degenerate quadratic forms. In order to do so, we study the quadratic forms…
A class of cyclotomic linear codes and their generalized Hamming weights
Fei Li
Firstly, we give a formula on the generalized Hamming weight of linear codes constructed generically by defining sets. Secondly, by choosing properly the defining set we obtain a c…
A family of linear codes with three weights
Yang Yan, Fei Li, Qiuyan Wang
Recently, linear codes constructed by defining sets have attracted a lot of study, and many optimal linear codes with a few weights have been produced. The objective of this paper…
Binary linear codes with at most 4 weights
Fei Li, Yang Yan, Qiuyan Wang +1
For the past decades, linear codes with few weights have been widely studied, since they have applications in space communications, data storage and cryptography. In this paper, a…
Complete weight enumerators of two classes of linear codes
Qiuyan Wang, Fei Li, Kelan Ding +1
Recently, linear codes with few weights have been constructed and extensively studied. In this paper, for an odd prime p, we determined the complete weight enumerator of two classe…
A Class of Linear Codes With Three Weights
Qiuyan Wang, Fei Li, Dongdai Lin
Linear codes have been an interesting subject of study for many years. Recently, linear codes with few weights have been constructed and extensively studied. In this paper, for an…
A class of three-weight and five-weight linear codes
Fei Li, Qiuyan Wang, Dongdai Lin
Recently, linear codes with few weights have been widely studied, since they have applications in data storage systems, communication systems and consumer electronics. In this pape…