A technique is presented for constructing cyclic codes that retain many of the combinatorial properties of finite-geometry codes, but are often superior to geometry codes. It is shown that L-step orthogonalization is applicable to certain subclasses of these codes.
Hartmann, Carlos R.P. and Rudolph, Luther D., "Generalized Finite-Geometry Codes" (1972). Electrical Engineering and Computer Science - Technical Reports. 32.