Multi-orbit cyclic subspace codes and linear sets

Cyclic subspace codes gained a lot of attention especially because they may be used in random network coding for correction errors and erasures. Roth, Raviv Tamo 2018 established connection between cyclic (with certain parameters) Sidon spaces. These latter objects were introduced by Bachoc, Serra Zémor 2017 relation with the linear analogue Vosper's Theorem. This allowed to construct large classes one or more orbits. In this paper we will investigate associated set spaces, that is than orbit. Moreover, also use geometry sets provide some bounds on parameters code. Conversely, are families which extend class recently Napolitano, Santonastaso, Polverino author. yields special pattern intersection hyperplanes, defining rank metric Hamming only three distinct weights.