A stability result and a spectrum result on constant dimension codes

In this paper we continue the study of subspace codes with constant intersection dimension (SCIDs). We investigate the largest possible dimensions spanned by non-sunflower SCIDs, by proving a stability result and we present a spectrum result giving us a large interval for the dimensions that can be generated by non-sunflower SCIDs. We also prove that SCIDs are in fact equivalent to linear spaces and give some results regarding this equivalence, including an improvement to a result by E. Gorla and A. Ravagnani, regarding the number of centers of a SCID.