New characterization of full weight spectrum one-orbit cyclic subspace codes
Published: Jun 16, 2025
Last Updated: Jun 16, 2025
Authors:Minjia Shi, Wenhao Song
Abstract
Castello $\textit{et al}$. [J. Comb. Theory Ser. A, 212, 106005 (2025)] provided a complete classification for full weight spectrum (FWS) one-orbit cyclic subspace codes. In this paper, we determine the weight distributions of a family of FWS codes and exhibit some equivalence classes of FWS codes under certain conditions. Furthermore, we provide a complete classification for $r$-FWS codes.