New LDPC Codes Using Permutation Matrices with Higher Girth than QC-LDPC   Codes Constructed by Fossorier
  In the literatures, it is well-known that Fossorier code has the girth among LDPC codes. In this paper, we introduce a new class of low-density parity-check (LDPC) codes, with higher girth than other previous constructed codes. Especially we proposed a new method to construct LDPC codes using non fixed shift permutation matrices and full based matrices with higher girth than codes constructed by Fossorier. 
Mehdi samadieh and Mohammad Gholami
cs.IT cs.DM math.CO math.IT