Veronese subspace codes

Abstract

Using the correspondence between quadrics of $\mathrm{PG}(2,q)$ and points of $\mathrm{PG}(5,q)$, a family of $(6,q^3(q^2-1)(q-1)/3+(q^2+1)(q^2+q+1),4;3{)}_q$ constant dimension subspace codes is constructed.