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.
Keith E. Mellinger,Department of Mathematics, University of Mary Washington, Fredericksburg, VA email@example.com
Passmore, Mandy and Stovall, Jenny
"On codes generated from quadratic surfaces in PG(3,q),"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 5
, Article 6.
Available at: http://scholar.rose-hulman.edu/rhumj/vol5/iss2/6