The geometry of one-weight codes in the sum-rank metric

Alessandro Neri, Paolo Santonastaso, Ferdinando Zullo

We provide a geometric characterization of $k$-dimensional ${\mathbb{F}}_{q^m}$-linear sum-rank metric codes as tuples of ${\mathbb{F}}_q$-subspaces of ${\mathbb{F}}_{q^m}^k$. We then us…