On the Grobner Basis of a Family of Quasi-Cyclic LDPC Codes
Marta Giorgetti, Marta Rossi, Massimiliano Sala · 2011
In [6] a class of quasi-cyclic LDPC codes has been proposed, whose information rate is 1/2. We generalize that construction to arbitrary rates 1/s and we provide a Grobner basis for their dual codes, under a non-restrictive condition. As a consequence, we are able to determine their dimension.