  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.
