On codes generated from quadratic surfaces in PG(3,q)
Mandy Passmore, Jenny Stovall · Rose-Hulman Scholar (Rose–Hulman Institute of Technology) · 2004
We construct two families of low-density parity-check codes using point-line incidence structures in PG(3, q). The selection of lines for each structure relies on the geometry of the two classical quadratic surfaces in PG(3, q), the hyperbolic quadric and the elliptic quadric.