A base matrix method to construct column weight 3 quasi-cyclic LDPC codes with high girth

Abstract

This article presents a simple, less computational complexity method for constructing exponent matrix 3, K of girth 8, 10 and 12 of quasi-cyclic low-density parity-check codes (QC-LDPC) based on generation of base matrix. The construction of code deals with generation of base matrix by a simple algorithm and element wise element method for girth 8, while only element wise element method for girth 10 and 12. These methods are flexible for block-column length K . The simulations are shown in comparison with some existing appreciable work.