2 papers
cs.IT2021
Fourier-Reflexive Partitions Induced by Poset Metric
Yang Xu, Haibin Kan, Guangyue Han
Let be the cartesian product of a family of finite abelian groups indexed by a finite set . A given poset (i.e., partially ordered set) $\mathbf{P}=(Ω,\preccurlyeq_…
cs.IT2020
A Galois Connection Approach to Wei-Type Duality Theorems
Yang Xu, Haibin Kan, Guangyue Han
In , Wei proved a duality theorem that established an interesting connection between the generalized Hamming weights of a linear code and those of its dual code. Wei's dualit…