A new family of maximum linear symmetric rank-distance codes

Wei Tang, Yue Zhou

Let ${\mathcal{S}}_n(q)$ denote the set of symmetric bilinear forms over an $n$-dimensional ${\mathbb{F}}_q$-vector space. A subset $\mathcal{C}$ of ${\mathcal{S}}_n(q)$ is called a $d$-…