Showing cs.ITShow all
3 papers · 1 filter
cs.IT2023
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…
cs.IT2023
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…
cs.IT2020
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…