Research on Linear Codes Holding $q$-Ary $t$-Designs

Xinghao Wu, Junling Zhou

A $q$-ary $t$-$(n,w,\hat{I}»)$ design is a collection $\mathcal{A}$ of vectors of weight $w$ in ${\mathbb{F}}_q^n$ with the property that every vector of weight $t$ in $\mathbb{F}_{q}^…