A new Quasi-Cyclic low density parity check codes

Abstract

This paper proposes a new technique for constructing the Quasi-Cyclic low density parity check (QCLDPC) codes based on row division method. The new codes offer more flexibility in term of girth, code rates and codeword length. In this method of code construction, the rows are used to form as the distance graph. Then they are transformed to a parity-check matrix in order to acquire the desired girth. The new QC-LDPC codes show good biterror rate performance as compared to the renowned Mackay codes for given values of Eb/ N 0 by 0.12 dB at BER of10-7.