Small length quasi-cyclic LDPC code for wireless applications

Low-density parity-check (LDPC) codes can achieve performance near to the capacity curve when the length of the code is high enough and when decoded by belief propagation. Because of this property LDPC codes have found wide application in various fields like satellite transmission, recording in magnetic discs etc. This paper presents 2 small length LDPC codes of rate half and three-fourth, showing good performance and with low encoding complexity, for radio application. The code is constructed using permutation matrices of z × z dimension or zero matrices of dimension z × z, where z = 32, 28, 24, 20 and 16. Simulation results of the codes show good bit error rate performance with min-sum decoding algorithm.