5 papers · 1 filter
Self-dual codes and LCD codes in sum-rank metric
Qingfeng Xia, Hongwei Liu, Hao Chen +1
Sum-rank codes are an important class of codes which can be utilized for linear network coding, space-time coding and distributed storage. They can not only reduce the size of netw…
Optimal Few-GHW Linear Codes and Their Subcode Support Weight Distributions
Xu Pan, Hao Chen, Hongwei Liu +1
Few-weight codes have been constructed and studied for many years, since their fascinating relations to finite geometries, strongly regular graphs and Boolean functions. Simplex co…
New bounds for -Symbol Distances of Matrix Product Codes
Pan Xu, Ling San, Liu Hongwei
Matrix product codes are generalizations of some well-known constructions of codes, such as Reed-Muller codes, -construction, etc. Recently, a bound for the symbol-pair…
Generalized Pair Weights of Linear Codes and Linear Isomorphisms Preserving Pair Weights
Hongwei Liu, Xu Pan
In this paper, we first introduce the notion of generalized pair weights of an -linear code over the finite field and the notion of pair -equiweight codes…
Galois Hulls of Linear Codes over Finite Fields
Hongwei Liu, Xu Pan
The -Galois hull of an linear code over a finite field is the intersection of and , where de…