A family of double circulant quasi-cyclic codes is constructed from the incidence matrices of difference sets associated with hyperplanes in projective space. A subset of these codes leads to a class of doubly-even self-orthogonal codes, and two classes of self-dual codes.
Citation
T.Aaron Gulliver, Vijay K.Bhargava. Projective Spaces and Quasi-Cyclic Codes[J], Ars Combinatoria, Volume 048. 147-160. .