On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric
Daniele Bartoli, Leo Storme · Advances in Mathematics of Communications · 2014
We discuss the functional codes $C_h(\mathcal{Q}_N)$, for small $h\geq 3$, $q>9$, and for $N\geq 6$. This continues the study of different classes of functional codes, performed on functional codes arising from quadrics and Hermitian varieties. Here, we consider the functional codes arising from the intersections of the algebraic hypersurfaces of small degree $h$ with a given non-singular quadric $\mathcal{Q}_N$ in PG$(N,q)$.